(sqrt(1 + 8 * ij) - 1) / 2

Time bar (total: 9.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%26.2%73.8%0%0%0%0
100%26.2%0%73.8%0%0%0%1
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample2.3s (24.6%)

Memory
133.4MiB live, 1 199.6MiB allocated
Samples
926.0ms4 711×1valid
721.0ms2 829×2valid
52.0ms716×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
adjust: 342.0ms (26.6% of total)
ival-sqrt: 215.0ms (16.7% of total)
ival-div: 194.0ms (15.1% of total)
ival-sub: 159.0ms (12.4% of total)
ival-add: 138.0ms (10.7% of total)
ival-mult: 137.0ms (10.7% of total)
ival-<=: 56.0ms (4.4% of total)
exact: 27.0ms (2.1% of total)
ival-and: 13.0ms (1% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain2.6s (27.7%)

Memory
92.8MiB live, 218.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2420-1(0.007652521059183485)(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
00-0-(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
00-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
00-0-(*.f64 #s(literal 8 binary64) ij)
00-0-#s(literal 2 binary64)
00-0-ij
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))cancellation2411
Confusion
Predicted +Predicted -
+2411
-014
Precision
1.0
Recall
0.9958677685950413
Confusion?
Predicted +Predicted MaybePredicted -
+24110
-0014
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
015
1241
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
2.4s154×2valid
102.0ms302×1valid
4.0ms56×0valid
Compiler

Compiled 86 to 31 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-sub: 2.4s (98.3% of total)
adjust: 10.0ms (0.4% of total)
ival-sqrt: 10.0ms (0.4% of total)
ival-div: 8.0ms (0.3% of total)
ival-add: 7.0ms (0.3% of total)
ival-mult: 4.0ms (0.2% of total)
ival-true: 1.0ms (0% of total)
exact: 1.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
13320
26120
310420
413420
516020
619420
721720
821820
0910
01410
12510
22910
33010
0309
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.1%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify3.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
cost-diff0
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
01436
12536
22936
33036
03032
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
#s(literal 1 binary64)
(*.f64 #s(literal 8 binary64) ij)
#s(literal 8 binary64)
ij
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 8 binary64) ij)
(*.f64 ij #s(literal 8 binary64))
#s(literal 8 binary64)
ij
#s(literal 2 binary64)

localize43.0ms (0.4%)

Memory
14.9MiB live, 14.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
accuracy0.0
(*.f64 #s(literal 8 binary64) ij)
accuracy0.01171875
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
accuracy54.953418198406354
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
Samples
18.0ms151×1valid
14.0ms77×2valid
2.0ms28×0valid
Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
adjust: 5.0ms (22.7% of total)
ival-sqrt: 5.0ms (22.7% of total)
ival-div: 4.0ms (18.1% of total)
ival-add: 3.0ms (13.6% of total)
ival-sub: 3.0ms (13.6% of total)
ival-mult: 2.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
(*.f64 #s(literal 8 binary64) ij)
Outputs
1
(+ 1 (* 8 ij))
(* 2 ij)
(* ij (+ 2 (* -4 ij)))
(* ij (+ 2 (* ij (- (* 16 ij) 4))))
(* ij (+ 2 (* ij (- (* ij (+ 16 (* -80 ij))) 4))))
(* 4 ij)
(* ij (+ 4 (* -8 ij)))
(* ij (+ 4 (* ij (- (* 32 ij) 8))))
(* ij (+ 4 (* ij (- (* ij (+ 32 (* -160 ij))) 8))))
(+ 1 (* 4 ij))
(+ 1 (* ij (+ 4 (* -8 ij))))
(+ 1 (* ij (+ 4 (* ij (- (* 32 ij) 8)))))
(* 8 ij)
(* ij (+ 8 (/ 1 ij)))
(* 1/2 (* (sqrt ij) (sqrt 8)))
(* ij (- (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8)))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* -1/16 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))))) (* 1/2 (/ 1 ij))))
(* (sqrt ij) (sqrt 8))
(* ij (- (* (sqrt (/ 1 ij)) (sqrt 8)) (/ 1 ij)))
(* ij (- (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))) (/ 1 ij)))
(* ij (- (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))) (/ 1 ij)))
(* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ 1 (pow (sqrt 8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))))
(* -1/2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 1/2 (/ 1 ij)))))
(* -1 (* ij (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))) (/ 1 ij))))
(* -1 (* ij (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1) ij)) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/2 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1) ij)) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ (sqrt -1) (pow (sqrt -8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
ij
@-inf
((+ 1 (* 8 ij)) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (- (sqrt (+ 1 (* 8 ij))) 1) (sqrt (+ 1 (* 8 ij))) (* 8 ij))
2.0ms
ij
@inf
((+ 1 (* 8 ij)) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (- (sqrt (+ 1 (* 8 ij))) 1) (sqrt (+ 1 (* 8 ij))) (* 8 ij))
1.0ms
ij
@0
((+ 1 (* 8 ij)) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (- (sqrt (+ 1 (* 8 ij))) 1) (sqrt (+ 1 (* 8 ij))) (* 8 ij))

simplify2.4s (25.5%)

Memory
-158.8MiB live, 56.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187764
1565732
21746699
35081689
08177638
Stop Event
iter limit
node limit
Counts
37 → 37
Calls
Call 1
Inputs
1
(+ 1 (* 8 ij))
(* 2 ij)
(* ij (+ 2 (* -4 ij)))
(* ij (+ 2 (* ij (- (* 16 ij) 4))))
(* ij (+ 2 (* ij (- (* ij (+ 16 (* -80 ij))) 4))))
(* 4 ij)
(* ij (+ 4 (* -8 ij)))
(* ij (+ 4 (* ij (- (* 32 ij) 8))))
(* ij (+ 4 (* ij (- (* ij (+ 32 (* -160 ij))) 8))))
(+ 1 (* 4 ij))
(+ 1 (* ij (+ 4 (* -8 ij))))
(+ 1 (* ij (+ 4 (* ij (- (* 32 ij) 8)))))
(* 8 ij)
(* ij (+ 8 (/ 1 ij)))
(* 1/2 (* (sqrt ij) (sqrt 8)))
(* ij (- (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8)))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* -1/16 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))))) (* 1/2 (/ 1 ij))))
(* (sqrt ij) (sqrt 8))
(* ij (- (* (sqrt (/ 1 ij)) (sqrt 8)) (/ 1 ij)))
(* ij (- (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))) (/ 1 ij)))
(* ij (- (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))) (/ 1 ij)))
(* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ 1 (pow (sqrt 8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))))
(* -1/2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 1/2 (/ 1 ij)))))
(* -1 (* ij (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))) (/ 1 ij))))
(* -1 (* ij (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1) ij)) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/2 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1) ij)) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ (sqrt -1) (pow (sqrt -8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 8 ij))
(fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))
(* 2 ij)
(*.f64 #s(literal 2 binary64) ij)
(* ij (+ 2 (* -4 ij)))
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
(* ij (+ 2 (* ij (- (* 16 ij) 4))))
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(* ij (+ 2 (* ij (- (* ij (+ 16 (* -80 ij))) 4))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(* 4 ij)
(*.f64 #s(literal 4 binary64) ij)
(* ij (+ 4 (* -8 ij)))
(*.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 4 binary64)) ij)
(* ij (+ 4 (* ij (- (* 32 ij) 8))))
(*.f64 (fma.f64 (fma.f64 #s(literal 32 binary64) ij #s(literal -8 binary64)) ij #s(literal 4 binary64)) ij)
(* ij (+ 4 (* ij (- (* ij (+ 32 (* -160 ij))) 8))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -160 binary64) ij #s(literal 32 binary64)) ij #s(literal -8 binary64)) ij #s(literal 4 binary64)) ij)
(+ 1 (* 4 ij))
(fma.f64 #s(literal 4 binary64) ij #s(literal 1 binary64))
(+ 1 (* ij (+ 4 (* -8 ij))))
(fma.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 4 binary64)) ij #s(literal 1 binary64))
(+ 1 (* ij (+ 4 (* ij (- (* 32 ij) 8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 32 binary64) ij #s(literal -8 binary64)) ij #s(literal 4 binary64)) ij #s(literal 1 binary64))
(* 8 ij)
(*.f64 #s(literal 8 binary64) ij)
(* ij (+ 8 (/ 1 ij)))
(fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))
(* 1/2 (* (sqrt ij) (sqrt 8)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 ij))
(* ij (- (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 1/2 (/ 1 ij))))
(fma.f64 (*.f64 ij (*.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) #s(literal -1/2 binary64))
(* ij (- (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8)))) (* 1/2 (/ 1 ij))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)))) ij #s(literal -1/2 binary64))
(* ij (- (+ (* -1/16 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))))) (* 1/2 (/ 1 ij))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))))) ij #s(literal -1/2 binary64))
(* (sqrt ij) (sqrt 8))
(*.f64 (sqrt.f64 #s(literal 8 binary64)) (sqrt.f64 ij))
(* ij (- (* (sqrt (/ 1 ij)) (sqrt 8)) (/ 1 ij)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) ij) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) #s(literal -1 binary64))
(* ij (- (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))) (/ 1 ij)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64)))) ij #s(literal -1 binary64))
(* ij (- (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))) (/ 1 ij)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64))))) ij #s(literal -1 binary64))
(* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64)))) ij)
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64))))) ij)
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ 1 (pow (sqrt 8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 7 binary64)))) (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64)))))) ij)
(* -1/2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 ij)))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 1/2 (/ 1 ij)))))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 ij (sqrt.f64 #s(literal -8 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) #s(literal 1 binary64)))
(* -1 (* ij (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ij (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(fma.f64 (*.f64 ij #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 ij)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))))) ij)))
(* -1 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 ij)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64)))
(* -1 (* ij (+ (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))) (/ 1 ij))))
(fma.f64 (*.f64 (neg.f64 ij) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)))) (sqrt.f64 #s(literal -8 binary64)) #s(literal -1 binary64))
(* -1 (* ij (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1) ij)) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) ij) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/2 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1) ij)) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) ij) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (*.f64 (*.f64 (sqrt.f64 ij) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))))) ij) #s(literal -1 binary64))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(*.f64 (neg.f64 ij) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64)))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(*.f64 (neg.f64 ij) (fma.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (sqrt.f64 #s(literal -8 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ (sqrt -1) (pow (sqrt -8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))))
(*.f64 (neg.f64 ij) (fma.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (sqrt.f64 #s(literal -8 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 7 binary64)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64)))))))

rewrite168.0ms (1.8%)

Memory
-184.0MiB live, 51.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01432
15632
236832
3435032
0836227
Stop Event
iter limit
node limit
iter limit
Counts
5 → 364
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
(*.f64 #s(literal 8 binary64) ij)
Outputs
(*.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -64 binary64) (*.f64 ij ij)))) (exp.f64 (neg.f64 (log1p.f64 (*.f64 #s(literal -8 binary64) ij)))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 ij #s(literal 8 binary64)) #s(literal 3 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (*.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)))))))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 ij #s(literal 8 binary64)) #s(literal 3 binary64)))) (fma.f64 ij (fma.f64 #s(literal 64 binary64) ij #s(literal 8 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 512 binary64) (pow.f64 (*.f64 ij (fma.f64 ij #s(literal 8 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64))) (-.f64 (*.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)) (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))) (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 64 binary64) ij) ij #s(literal -1 binary64)) (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 ij #s(literal 8 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 ij #s(literal 8 binary64)))))
(pow.f64 (/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 64 binary64) ij) ij #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal 64 binary64) ij) ij #s(literal -1 binary64)))) (exp.f64 (log.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -64 binary64) (*.f64 ij ij)))) (exp.f64 (log1p.f64 (*.f64 #s(literal -8 binary64) ij))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 ij #s(literal 8 binary64)) #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (*.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 ij #s(literal 8 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 64 binary64) ij) ij #s(literal 1 binary64)))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))))
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(expm1.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))))) (pow.f64 (-.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))) (pow.f64 (+.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64))
(+.f64 (/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (+.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 ij #s(literal 8 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 64 binary64) ij) ij #s(literal -1 binary64))) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (*.f64 ij ij) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 ij (-.f64 (*.f64 #s(literal 64 binary64) ij) #s(literal 8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 ij #s(literal 8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 ij #s(literal 8 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal 8 binary64))) (exp.f64 (log.f64 ij)))
(*.f64 (exp.f64 (log.f64 ij)) (exp.f64 (log.f64 #s(literal 8 binary64))))
(*.f64 (*.f64 ij #s(literal 8 binary64)) #s(literal 1 binary64))
(*.f64 ij #s(literal 8 binary64))
(*.f64 #s(literal 8 binary64) ij)
(*.f64 #s(literal 1 binary64) (*.f64 ij #s(literal 8 binary64)))
(pow.f64 (*.f64 ij #s(literal 8 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 ij #s(literal 8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 ij #s(literal 8 binary64))))

eval47.0ms (0.5%)

Memory
37.4MiB live, 37.4MiB allocated
Compiler

Compiled 8 578 to 1 534 computations (82.1% saved)

prune12.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3937400
Fresh000
Picked101
Done000
Total3947401
Accuracy
100.0%
Counts
401 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.1%
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
100.0%
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
99.8%
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 ij #s(literal 8 binary64)))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
94.5%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
94.6%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
93.7%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
92.8%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
Compiler

Compiled 212 to 176 computations (17% saved)

simplify8.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
cost-diff0
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
cost-diff0
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
cost-diff0
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
cost-diff0
(*.f64 #s(literal 2 binary64) ij)
cost-diff0
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
cost-diff0
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff1
(fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64))
cost-diff1
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029154
047149
175149
2107148
3158148
4212148
5219148
0219148
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64))
ij
#s(literal 8 binary64)
#s(literal 0 binary64)
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
(*.f64 #s(literal 2 binary64) ij)
#s(literal 2 binary64)
ij
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
#s(literal -4 binary64)
ij
#s(literal 2 binary64)
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64))
(fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64))
#s(literal 16 binary64)
ij
#s(literal -4 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
ij
#s(literal 8 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
Outputs
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) ij) (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 8 binary64) ij)
ij
#s(literal 8 binary64)
#s(literal 0 binary64)
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
(*.f64 #s(literal 2 binary64) ij)
#s(literal 2 binary64)
ij
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
#s(literal -4 binary64)
ij
#s(literal 2 binary64)
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64))
(fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64))
#s(literal 16 binary64)
ij
#s(literal -4 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))
ij
#s(literal 8 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)

localize129.0ms (1.4%)

Memory
-26.4MiB live, 52.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
accuracy0.01171875
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
accuracy54.94246295211546
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
accuracy0.0
(fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64))
accuracy0.0
(fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64))
accuracy0.02734375
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
accuracy3.4532842630141958
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
accuracy0.0
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
accuracy0.01171875
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
accuracy4.044036708591135
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
accuracy0.0
(*.f64 #s(literal 2 binary64) ij)
accuracy4.628924850066148
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
accuracy0.0
(fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64))
accuracy0.0078125
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
accuracy0.01171875
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
accuracy0.03515625
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
Samples
58.0ms150×1valid
43.0ms79×2valid
5.0ms27×0valid
Compiler

Compiled 154 to 34 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 19.0ms (25% of total)
adjust: 18.0ms (23.7% of total)
ival-add: 16.0ms (21.1% of total)
ival-sqrt: 11.0ms (14.5% of total)
ival-div: 7.0ms (9.2% of total)
ival-sub: 3.0ms (3.9% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
15 → 69
Calls
Call 1
Inputs
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
(*.f64 #s(literal 2 binary64) ij)
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64))
(fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64))
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
Outputs
(* 2 ij)
(* ij (+ 2 (* -4 ij)))
(* ij (+ 2 (* ij (- (* 16 ij) 4))))
(* ij (+ 2 (* ij (- (* ij (+ 16 (* -80 ij))) 4))))
(* 8 ij)
4
(+ 4 (* 8 ij))
(+ 4 (* ij (+ 8 (* -16 ij))))
(+ 4 (* ij (+ 8 (* ij (- (* 64 ij) 16)))))
1
(+ 1 (* 4 ij))
(+ 1 (* ij (+ 4 (* -8 ij))))
(+ 1 (* ij (+ 4 (* ij (- (* 32 ij) 8)))))
2
(+ 2 (* -4 ij))
(+ 2 (* ij (- (* 16 ij) 4)))
-4
(- (* 16 ij) 4)
(+ 1 (* 8 ij))
(* 4 (* (sqrt ij) (/ 1 (sqrt 8))))
(- (* 4 (* (sqrt ij) (/ 1 (sqrt 8)))) (* 4 (/ 1 (pow (sqrt 8) 2))))
(- (+ (* -1 (/ (+ (* -4 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3)))) (* 2 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3))))) (pow ij 2))) (* 4 (* (sqrt ij) (/ 1 (sqrt 8))))) (/ 4 (pow (sqrt 8) 2)))
(- (+ (* 4 (* (sqrt ij) (/ 1 (sqrt 8)))) (* 2 (/ 1 (* ij (pow (sqrt 8) 4))))) (+ (* -4 (* (sqrt (/ 1 ij)) (/ 1 (pow (sqrt 8) 3)))) (+ (* -1 (* (sqrt (/ 1 (pow ij 5))) (/ (+ (* -4 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3)))) (* 2 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3))))) (sqrt 8)))) (+ (* 2 (* (sqrt (/ 1 ij)) (/ 1 (pow (sqrt 8) 3)))) (/ 4 (pow (sqrt 8) 2))))))
(* 2 (* (sqrt ij) (sqrt 8)))
(* ij (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 2 (/ 1 ij))))
(* ij (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (+ (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8))) (* 2 (/ 1 ij)))))
(* ij (+ (* -1/4 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (+ (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8))) (* 2 (/ 1 ij))))))
(* (sqrt ij) (sqrt 8))
(* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ 1 (pow (sqrt 8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))))
(* 1/2 (* (sqrt ij) (sqrt 8)))
(* ij (- (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8)))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* -1/16 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))))) (* 1/2 (/ 1 ij))))
(* -4 (pow ij 2))
(* (pow ij 2) (- (* 2 (/ 1 ij)) 4))
(* -4 ij)
(* ij (- (* 2 (/ 1 ij)) 4))
(* 16 (pow ij 3))
(* (pow ij 3) (- 16 (* 4 (/ 1 ij))))
(* (pow ij 3) (- (+ 16 (/ 2 (pow ij 2))) (* 4 (/ 1 ij))))
(* 16 (pow ij 2))
(* (pow ij 2) (- 16 (* 4 (/ 1 ij))))
(* (pow ij 2) (- (+ 16 (/ 2 (pow ij 2))) (* 4 (/ 1 ij))))
(* 16 ij)
(* ij (- 16 (* 4 (/ 1 ij))))
(* ij (+ 8 (/ 1 ij)))
(* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* 4 (/ 1 (pow (sqrt -8) 2))))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* -1 (/ (+ (* -4 (/ ij (pow (sqrt -8) 2))) (+ (* -2 (* (sqrt ij) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt ij) (/ (sqrt -1) (pow (sqrt -8) 3)))))) ij)))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* -1 (/ (+ (* -4 (/ ij (pow (sqrt -8) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 ij)) (/ (* (sqrt -1) (+ (* -2 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))))) (sqrt -8)))) (* 2 (/ ij (pow (sqrt -8) 4)))) (+ (* -2 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))))) ij))) ij)))
(* -2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (- (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 2 (/ 1 ij)))))
(* -1 (* ij (+ (* -1 (/ (+ 2 (* -1 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8))))) ij)) (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) ij))) ij)) (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ (sqrt -1) (pow (sqrt -8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))))
(* -1/2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 1/2 (/ 1 ij)))))
(* -1 (* ij (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (- 4 (* 2 (/ 1 ij)))))
(* -1 (* (pow ij 3) (- (* 4 (/ 1 ij)) 16)))
(* -1 (* (pow ij 3) (- (* -1 (/ (- (* 2 (/ 1 ij)) 4) ij)) 16)))
(* (pow ij 2) (+ 16 (* -1 (/ (- 4 (* 2 (/ 1 ij))) ij))))
(* -1 (* ij (- (* 4 (/ 1 ij)) 16)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
ij
@inf
((/ (+ (* ij 8) 0) (+ (* 2 (sqrt (+ (* ij 8) 1))) 2)) (+ (* ij 8) 0) (+ (* 2 (sqrt (+ (* ij 8) 1))) 2) (sqrt (+ (* ij 8) 1)) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* 2 ij) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* (+ (* -4 ij) 2) ij) (+ (* -4 ij) 2) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* (+ (* (+ (* 16 ij) -4) ij) 2) ij) (+ (* (+ (* 16 ij) -4) ij) 2) (+ (* 16 ij) -4) (+ (* (sqrt (+ (* ij 8) 1)) 1/2) -1/2) (+ (* ij 8) 1))
4.0ms
ij
@-inf
((/ (+ (* ij 8) 0) (+ (* 2 (sqrt (+ (* ij 8) 1))) 2)) (+ (* ij 8) 0) (+ (* 2 (sqrt (+ (* ij 8) 1))) 2) (sqrt (+ (* ij 8) 1)) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* 2 ij) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* (+ (* -4 ij) 2) ij) (+ (* -4 ij) 2) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* (+ (* (+ (* 16 ij) -4) ij) 2) ij) (+ (* (+ (* 16 ij) -4) ij) 2) (+ (* 16 ij) -4) (+ (* (sqrt (+ (* ij 8) 1)) 1/2) -1/2) (+ (* ij 8) 1))
1.0ms
ij
@0
((/ (+ (* ij 8) 0) (+ (* 2 (sqrt (+ (* ij 8) 1))) 2)) (+ (* ij 8) 0) (+ (* 2 (sqrt (+ (* ij 8) 1))) 2) (sqrt (+ (* ij 8) 1)) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* 2 ij) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* (+ (* -4 ij) 2) ij) (+ (* -4 ij) 2) (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (* (+ (* (+ (* 16 ij) -4) ij) 2) ij) (+ (* (+ (* 16 ij) -4) ij) 2) (+ (* 16 ij) -4) (+ (* (sqrt (+ (* ij 8) 1)) 1/2) -1/2) (+ (* ij 8) 1))

simplify217.0ms (2.3%)

Memory
-43.8MiB live, 43.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981214
19231117
231071073
379691071
083021001
Stop Event
iter limit
node limit
Counts
69 → 69
Calls
Call 1
Inputs
(* 2 ij)
(* ij (+ 2 (* -4 ij)))
(* ij (+ 2 (* ij (- (* 16 ij) 4))))
(* ij (+ 2 (* ij (- (* ij (+ 16 (* -80 ij))) 4))))
(* 8 ij)
4
(+ 4 (* 8 ij))
(+ 4 (* ij (+ 8 (* -16 ij))))
(+ 4 (* ij (+ 8 (* ij (- (* 64 ij) 16)))))
1
(+ 1 (* 4 ij))
(+ 1 (* ij (+ 4 (* -8 ij))))
(+ 1 (* ij (+ 4 (* ij (- (* 32 ij) 8)))))
2
(+ 2 (* -4 ij))
(+ 2 (* ij (- (* 16 ij) 4)))
-4
(- (* 16 ij) 4)
(+ 1 (* 8 ij))
(* 4 (* (sqrt ij) (/ 1 (sqrt 8))))
(- (* 4 (* (sqrt ij) (/ 1 (sqrt 8)))) (* 4 (/ 1 (pow (sqrt 8) 2))))
(- (+ (* -1 (/ (+ (* -4 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3)))) (* 2 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3))))) (pow ij 2))) (* 4 (* (sqrt ij) (/ 1 (sqrt 8))))) (/ 4 (pow (sqrt 8) 2)))
(- (+ (* 4 (* (sqrt ij) (/ 1 (sqrt 8)))) (* 2 (/ 1 (* ij (pow (sqrt 8) 4))))) (+ (* -4 (* (sqrt (/ 1 ij)) (/ 1 (pow (sqrt 8) 3)))) (+ (* -1 (* (sqrt (/ 1 (pow ij 5))) (/ (+ (* -4 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3)))) (* 2 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3))))) (sqrt 8)))) (+ (* 2 (* (sqrt (/ 1 ij)) (/ 1 (pow (sqrt 8) 3)))) (/ 4 (pow (sqrt 8) 2))))))
(* 2 (* (sqrt ij) (sqrt 8)))
(* ij (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 2 (/ 1 ij))))
(* ij (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (+ (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8))) (* 2 (/ 1 ij)))))
(* ij (+ (* -1/4 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (+ (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8))) (* 2 (/ 1 ij))))))
(* (sqrt ij) (sqrt 8))
(* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))))
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ 1 (pow (sqrt 8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))))
(* 1/2 (* (sqrt ij) (sqrt 8)))
(* ij (- (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8)))) (* 1/2 (/ 1 ij))))
(* ij (- (+ (* -1/16 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))))) (* 1/2 (/ 1 ij))))
(* -4 (pow ij 2))
(* (pow ij 2) (- (* 2 (/ 1 ij)) 4))
(* -4 ij)
(* ij (- (* 2 (/ 1 ij)) 4))
(* 16 (pow ij 3))
(* (pow ij 3) (- 16 (* 4 (/ 1 ij))))
(* (pow ij 3) (- (+ 16 (/ 2 (pow ij 2))) (* 4 (/ 1 ij))))
(* 16 (pow ij 2))
(* (pow ij 2) (- 16 (* 4 (/ 1 ij))))
(* (pow ij 2) (- (+ 16 (/ 2 (pow ij 2))) (* 4 (/ 1 ij))))
(* 16 ij)
(* ij (- 16 (* 4 (/ 1 ij))))
(* ij (+ 8 (/ 1 ij)))
(* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* 4 (/ 1 (pow (sqrt -8) 2))))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* -1 (/ (+ (* -4 (/ ij (pow (sqrt -8) 2))) (+ (* -2 (* (sqrt ij) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt ij) (/ (sqrt -1) (pow (sqrt -8) 3)))))) ij)))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* -1 (/ (+ (* -4 (/ ij (pow (sqrt -8) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 ij)) (/ (* (sqrt -1) (+ (* -2 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))))) (sqrt -8)))) (* 2 (/ ij (pow (sqrt -8) 4)))) (+ (* -2 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))))) ij))) ij)))
(* -2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (- (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 2 (/ 1 ij)))))
(* -1 (* ij (+ (* -1 (/ (+ 2 (* -1 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8))))) ij)) (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) ij))) ij)) (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ (sqrt -1) (pow (sqrt -8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))))
(* -1/2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 1/2 (/ 1 ij)))))
(* -1 (* ij (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(* -1 (* ij (- 4 (* 2 (/ 1 ij)))))
(* -1 (* (pow ij 3) (- (* 4 (/ 1 ij)) 16)))
(* -1 (* (pow ij 3) (- (* -1 (/ (- (* 2 (/ 1 ij)) 4) ij)) 16)))
(* (pow ij 2) (+ 16 (* -1 (/ (- 4 (* 2 (/ 1 ij))) ij))))
(* -1 (* ij (- (* 4 (/ 1 ij)) 16)))
Outputs
(* 2 ij)
(*.f64 #s(literal 2 binary64) ij)
(* ij (+ 2 (* -4 ij)))
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
(* ij (+ 2 (* ij (- (* 16 ij) 4))))
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(* ij (+ 2 (* ij (- (* ij (+ 16 (* -80 ij))) 4))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(* 8 ij)
(*.f64 #s(literal 8 binary64) ij)
4
#s(literal 4 binary64)
(+ 4 (* 8 ij))
(fma.f64 #s(literal 8 binary64) ij #s(literal 4 binary64))
(+ 4 (* ij (+ 8 (* -16 ij))))
(fma.f64 (fma.f64 #s(literal -16 binary64) ij #s(literal 8 binary64)) ij #s(literal 4 binary64))
(+ 4 (* ij (+ 8 (* ij (- (* 64 ij) 16)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 64 binary64) ij #s(literal -16 binary64)) ij #s(literal 8 binary64)) ij #s(literal 4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 ij))
(fma.f64 #s(literal 4 binary64) ij #s(literal 1 binary64))
(+ 1 (* ij (+ 4 (* -8 ij))))
(fma.f64 (fma.f64 #s(literal -8 binary64) ij #s(literal 4 binary64)) ij #s(literal 1 binary64))
(+ 1 (* ij (+ 4 (* ij (- (* 32 ij) 8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 32 binary64) ij #s(literal -8 binary64)) ij #s(literal 4 binary64)) ij #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 ij))
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
(+ 2 (* ij (- (* 16 ij) 4)))
(fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64))
-4
#s(literal -4 binary64)
(- (* 16 ij) 4)
(fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64))
(+ 1 (* 8 ij))
(fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))
(* 4 (* (sqrt ij) (/ 1 (sqrt 8))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 ij))
(- (* 4 (* (sqrt ij) (/ 1 (sqrt 8)))) (* 4 (/ 1 (pow (sqrt 8) 2))))
(fma.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 ij) #s(literal -1/2 binary64))
(- (+ (* -1 (/ (+ (* -4 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3)))) (* 2 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3))))) (pow ij 2))) (* 4 (* (sqrt ij) (/ 1 (sqrt 8))))) (/ 4 (pow (sqrt 8) 2)))
(fma.f64 (sqrt.f64 (pow.f64 ij #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 8 binary64))) (*.f64 (neg.f64 ij) ij)) (fma.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 ij) #s(literal -1/2 binary64)))
(- (+ (* 4 (* (sqrt ij) (/ 1 (sqrt 8)))) (* 2 (/ 1 (* ij (pow (sqrt 8) 4))))) (+ (* -4 (* (sqrt (/ 1 ij)) (/ 1 (pow (sqrt 8) 3)))) (+ (* -1 (* (sqrt (/ 1 (pow ij 5))) (/ (+ (* -4 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3)))) (* 2 (* (sqrt (pow ij 3)) (/ 1 (pow (sqrt 8) 3))))) (sqrt 8)))) (+ (* 2 (* (sqrt (/ 1 ij)) (/ 1 (pow (sqrt 8) 3)))) (/ 4 (pow (sqrt 8) 2))))))
(-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 ij) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 4 binary64)) ij))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (pow.f64 ij #s(literal 3 binary64)))) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) #s(literal 1/2 binary64)))))
(* 2 (* (sqrt ij) (sqrt 8)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 ij))
(* ij (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 2 (/ 1 ij))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64))) (*.f64 #s(literal 2 binary64) ij) #s(literal 2 binary64))
(* ij (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (+ (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8))) (* 2 (/ 1 ij)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (sqrt.f64 #s(literal 8 binary64)))) ij #s(literal 2 binary64))
(* ij (+ (* -1/4 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 2 (* (sqrt (/ 1 ij)) (sqrt 8))) (+ (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8))) (* 2 (/ 1 ij))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (sqrt.f64 #s(literal 8 binary64))))) ij #s(literal 2 binary64))
(* (sqrt ij) (sqrt 8))
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(* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))
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(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64))))) ij)
(* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ 1 (pow (sqrt 8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* (sqrt (/ 1 ij)) (sqrt 8))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 7 binary64)))) (fma.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (sqrt.f64 #s(literal 8 binary64)))))) ij)
(* 1/2 (* (sqrt ij) (sqrt 8)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 ij))
(* ij (- (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))) (* 1/2 (/ 1 ij))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) ij #s(literal -1/2 binary64))
(* ij (- (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8)))) (* 1/2 (/ 1 ij))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)))) ij #s(literal -1/2 binary64))
(* ij (- (+ (* -1/16 (* (sqrt (/ 1 (pow ij 5))) (/ 1 (pow (sqrt 8) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow ij 3))) (/ 1 (sqrt 8)))) (* 1/2 (* (sqrt (/ 1 ij)) (sqrt 8))))) (* 1/2 (/ 1 ij))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))))) ij #s(literal -1/2 binary64))
(* -4 (pow ij 2))
(*.f64 (*.f64 ij ij) #s(literal -4 binary64))
(* (pow ij 2) (- (* 2 (/ 1 ij)) 4))
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
(* -4 ij)
(*.f64 #s(literal -4 binary64) ij)
(* ij (- (* 2 (/ 1 ij)) 4))
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
(* 16 (pow ij 3))
(*.f64 (pow.f64 ij #s(literal 3 binary64)) #s(literal 16 binary64))
(* (pow ij 3) (- 16 (* 4 (/ 1 ij))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) ij)) (pow.f64 ij #s(literal 3 binary64)))
(* (pow ij 3) (- (+ 16 (/ 2 (pow ij 2))) (* 4 (/ 1 ij))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) ij)) ij)) (pow.f64 ij #s(literal 3 binary64)))
(* 16 (pow ij 2))
(*.f64 (*.f64 ij ij) #s(literal 16 binary64))
(* (pow ij 2) (- 16 (* 4 (/ 1 ij))))
(*.f64 (*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) ij)) ij) ij)
(* (pow ij 2) (- (+ 16 (/ 2 (pow ij 2))) (* 4 (/ 1 ij))))
(*.f64 ij (fma.f64 #s(literal 16 binary64) ij (/.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)))
(* 16 ij)
(*.f64 #s(literal 16 binary64) ij)
(* ij (- 16 (* 4 (/ 1 ij))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) ij)) ij)
(* ij (+ 8 (/ 1 ij)))
(fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))
(* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))
(*.f64 (*.f64 (sqrt.f64 ij) #s(literal -4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* 4 (/ 1 (pow (sqrt -8) 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 ij) #s(literal -1/2 binary64))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* -1 (/ (+ (* -4 (/ ij (pow (sqrt -8) 2))) (+ (* -2 (* (sqrt ij) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt ij) (/ (sqrt -1) (pow (sqrt -8) 3)))))) ij)))
(fma.f64 (*.f64 (sqrt.f64 ij) #s(literal -4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 ij)) #s(literal -1/4 binary64) (*.f64 ij #s(literal 1/2 binary64))) (neg.f64 ij)))
(+ (* -4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) (* -1 (/ (+ (* -4 (/ ij (pow (sqrt -8) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 ij)) (/ (* (sqrt -1) (+ (* -2 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))))) (sqrt -8)))) (* 2 (/ ij (pow (sqrt -8) 4)))) (+ (* -2 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 4 (* (sqrt (pow ij 3)) (/ (sqrt -1) (pow (sqrt -8) 3)))))) ij))) ij)))
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 ij) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (pow.f64 ij #s(literal 3 binary64))) (sqrt.f64 #s(literal -8 binary64)))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 ij #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -8 binary64) (sqrt.f64 #s(literal -8 binary64))))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (*.f64 (/.f64 ij (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) ij) ij))))
(* -2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 ij)) (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* ij (- (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 2 (/ 1 ij)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) ij)) #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* ij (+ (* -1 (/ (+ 2 (* -1 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8))))) ij)) (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(*.f64 (neg.f64 ij) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) (neg.f64 (sqrt.f64 #s(literal -8 binary64)))) #s(literal 2 binary64)) (neg.f64 ij))))
(* -1 (* ij (+ (* -1 (/ (+ 2 (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* (sqrt ij) (/ (sqrt -1) (sqrt -8)))) ij))) ij)) (* 2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(*.f64 (neg.f64 ij) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 ij))) ij)) (neg.f64 ij))))
(* -1 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 ij)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64)))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))
(*.f64 (neg.f64 ij) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64)))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(*.f64 (neg.f64 ij) (fma.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (sqrt.f64 #s(literal -8 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64))))))
(* -1 (* ij (+ (* -1/8 (* (sqrt (/ 1 (pow ij 5))) (/ (sqrt -1) (pow (sqrt -8) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow ij 7))) (/ (sqrt -1) (pow (sqrt -8) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow ij 3))) (/ (sqrt -1) (sqrt -8)))) (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1))))))))
(*.f64 (neg.f64 ij) (fma.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 5 binary64)))) (sqrt.f64 #s(literal -8 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 7 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ij #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64)))))))
(* -1/2 (* (sqrt ij) (* (sqrt -8) (sqrt -1))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 ij)) (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* ij (+ (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))) (* 1/2 (/ 1 ij)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) ij)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(* -1 (* ij (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (sqrt -8)))) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(*.f64 (neg.f64 ij) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij)) #s(literal -1/2 binary64)) (neg.f64 ij))))
(* -1 (* ij (+ (* -1 (/ (- (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 ij)) (/ (sqrt -1) (pow (sqrt -8) 3)))) (* 1/4 (* (sqrt ij) (/ (sqrt -1) (sqrt -8))))) ij)) 1/2) ij)) (* 1/2 (* (sqrt (/ 1 ij)) (* (sqrt -8) (sqrt -1)))))))
(*.f64 (neg.f64 ij) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) ij))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 ij)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -8 binary64))))) ij)) (neg.f64 ij))))
(* -1 (* ij (- 4 (* 2 (/ 1 ij)))))
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
(* -1 (* (pow ij 3) (- (* 4 (/ 1 ij)) 16)))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) ij)) (pow.f64 ij #s(literal 3 binary64)))
(* -1 (* (pow ij 3) (- (* -1 (/ (- (* 2 (/ 1 ij)) 4) ij)) 16)))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) ij)) ij)) (pow.f64 ij #s(literal 3 binary64)))
(* (pow ij 2) (+ 16 (* -1 (/ (- 4 (* 2 (/ 1 ij))) ij))))
(*.f64 ij (fma.f64 #s(literal 16 binary64) ij (/.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)))
(* -1 (* ij (- (* 4 (/ 1 ij)) 16)))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) ij)) ij)

rewrite193.0ms (2%)

Memory
-10.8MiB live, 67.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029126
047121
1205118
21419117
08560117
Stop Event
iter limit
node limit
iter limit
Counts
15 → 835
Calls
Call 1
Inputs
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
(*.f64 #s(literal 2 binary64) ij)
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij)
(fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
(*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)
(fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64))
(fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64))
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) ij)) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 8 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 8 binary64) ij)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 8 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 ij (*.f64 #s(literal 8 binary64) ij)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 8 binary64) ij) ij) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) ij)))
(*.f64 (/.f64 (*.f64 ij ij) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 64 binary64) (*.f64 #s(literal 8 binary64) ij)))
(*.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (*.f64 ij ij) (*.f64 #s(literal 8 binary64) ij)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 512 binary64) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 ij #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 ij #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 512 binary64) (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 ij) #s(literal -1 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) ij) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) ij) (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) ij) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) ij) (fma.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 3 binary64)) (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 8 binary64) ij) (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 8 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 ij #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 8 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 ij #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal -4 binary64))) (/.f64 (*.f64 ij #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
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(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (/.f64 (*.f64 ij #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (/.f64 ij (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))))
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(fma.f64 #s(literal 8 binary64) (*.f64 ij #s(literal 1 binary64)) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -8 binary64) ij) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) ij #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal -1 binary64)) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 8 binary64) ij)) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 (*.f64 #s(literal 8 binary64) ij)))
(+.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
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eval137.0ms (1.4%)

Memory
25.5MiB live, 99.6MiB allocated
Compiler

Compiled 26 649 to 3 372 computations (87.3% saved)

prune21.0ms (0.2%)

Memory
43.6MiB live, 43.6MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 12741 131
Fresh112
Picked145
Done000
Total1 12991 138
Accuracy
100.0%
Counts
1 138 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.1%
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
99.9%
(*.f64 (/.f64 (*.f64 #s(literal 8 binary64) ij) (fma.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 4 binary64)))))
100.0%
(*.f64 (/.f64 ij (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4 binary64))
94.6%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
93.7%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
94.5%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
94.6%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
93.7%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
92.8%
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
Compiler

Compiled 360 to 194 computations (46.1% saved)

regimes16.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 ij (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 8 binary64) ij) (fma.f64 (pow.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 ij #s(literal 8 binary64)))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 ij (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4 binary64))
Calls

6 calls:

3.0ms
(*.f64 #s(literal 8 binary64) ij)
3.0ms
ij
2.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
2.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
Results
AccuracySegmentsBranch
100.0%1ij
100.0%1(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
100.0%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
100.0%1(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
100.0%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
100.0%1(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes13.0ms (0.1%)

Memory
-69.4MiB live, 10.1MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
Calls

6 calls:

3.0ms
(*.f64 #s(literal 8 binary64) ij)
2.0ms
ij
2.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
2.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
Results
AccuracySegmentsBranch
99.9%2ij
99.9%2(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
99.9%2(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
99.9%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
99.9%2(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes10.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
(fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
Calls

6 calls:

2.0ms
(*.f64 #s(literal 8 binary64) ij)
2.0ms
ij
2.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
2.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
Results
AccuracySegmentsBranch
99.7%2ij
99.7%2(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.7%2(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
99.7%2(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
99.7%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
99.7%2(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes9.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
Outputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
Calls

6 calls:

2.0ms
(*.f64 #s(literal 8 binary64) ij)
2.0ms
ij
1.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
1.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
Results
AccuracySegmentsBranch
94.6%1ij
94.6%1(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
94.6%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
94.6%1(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
94.6%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
94.6%1(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes8.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
Outputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
Calls

6 calls:

1.0ms
(*.f64 #s(literal 8 binary64) ij)
1.0ms
ij
1.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
1.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
Results
AccuracySegmentsBranch
94.6%1ij
94.6%1(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
94.6%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
94.6%1(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
94.6%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
94.6%1(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes9.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
Outputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
Calls

6 calls:

2.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
1.0ms
ij
1.0ms
(*.f64 #s(literal 8 binary64) ij)
1.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
Results
AccuracySegmentsBranch
93.7%1ij
93.7%1(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.7%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
93.7%1(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
93.7%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
93.7%1(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes7.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
Outputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
Calls

6 calls:

1.0ms
(*.f64 #s(literal 8 binary64) ij)
1.0ms
ij
1.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
Results
AccuracySegmentsBranch
93.7%1ij
93.7%1(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.7%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
93.7%1(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
93.7%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
93.7%1(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes6.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
Outputs
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
Calls

6 calls:

1.0ms
(*.f64 #s(literal 8 binary64) ij)
1.0ms
ij
1.0ms
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
1.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
Results
AccuracySegmentsBranch
92.8%1ij
92.8%1(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64)) #s(literal 2 binary64))
92.8%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))) #s(literal 1 binary64))
92.8%1(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij)))
92.8%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) ij))
92.8%1(*.f64 #s(literal 8 binary64) ij)
Compiler

Compiled 33 to 31 computations (6.1% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.000306262261095482
0.0015117882684833198
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.155853675360232e-5
0.000291924493827411
Compiler

Compiled 13 to 13 computations (0% saved)

simplify58.0ms (0.6%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050176
159176
265176
379176
4116176
5173176
6294176
71107176
82146176
94989176
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 ij (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4 binary64))
(if (<=.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)) (fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(if (<=.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij))) (fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))
Outputs
(*.f64 (/.f64 ij (+.f64 (sqrt.f64 (fma.f64 #s(literal 8 binary64) ij #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4 binary64))
(if (<=.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -80 binary64) ij #s(literal 16 binary64)) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij)) (fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(if (<=.f64 (*.f64 #s(literal 8 binary64) ij) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij))) (fma.f64 (sqrt.f64 (fma.f64 ij #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) ij #s(literal -4 binary64)) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (fma.f64 (*.f64 #s(literal -4 binary64) ij) ij (*.f64 #s(literal 2 binary64) ij)))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 (fma.f64 #s(literal -4 binary64) ij #s(literal 2 binary64)) ij))
#s(approx (/ (- (sqrt (+ 1 (* 8 ij))) 1) 2) (*.f64 #s(literal 2 binary64) ij))

soundness923.0ms (9.7%)

Memory
-70.6MiB live, 17.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187764
1565732
21746699
35081689
08177638
029126
047121
1205118
21419117
08560117
0932
01432
15632
236832
3435032
0836227
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 360 to 193 computations (46.4% saved)

preprocess41.0ms (0.4%)

Memory
27.0MiB live, 27.0MiB allocated
Compiler

Compiled 372 to 124 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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