(1-cos(x))* sin(x)*exp(x) + sin(x+10)

Time bar (total: 5.4s)

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%24.2%75.8%0%0%0%0
100%24.2%0%75.8%0%0%0%1
Compiler

Compiled 23 to 18 computations (21.7% saved)

sample1.8s (33.2%)

Memory
72.5MiB live, 815.8MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 393.0ms (38.8% of total)
ival-cos: 148.0ms (14.6% of total)
ival-sub: 110.0ms (10.9% of total)
ival-add: 95.0ms (9.4% of total)
ival-mult: 87.0ms (8.6% of total)
ival-exp: 80.0ms (7.9% of total)
ival-<=: 61.0ms (6% of total)
exact: 22.0ms (2.2% of total)
ival-and: 13.0ms (1.3% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain567.0ms (10.4%)

Memory
16.8MiB live, 322.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
00-0-(sin.f64 (+.f64 x #s(literal 10 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
00-0-(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
00-0-(cos.f64 x)
00-0-(+.f64 x #s(literal 10 binary64))
00-0-(exp.f64 x)
00-0-(sin.f64 x)
00-0-#s(literal 10 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation10
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-10255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
398.0ms382×2valid
36.0ms130×1valid
Compiler

Compiled 123 to 40 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-cos: 180.0ms (54.3% of total)
ival-add: 51.0ms (15.4% of total)
ival-sin: 41.0ms (12.4% of total)
adjust: 29.0ms (8.7% of total)
ival-mult: 15.0ms (4.5% of total)
ival-sub: 8.0ms (2.4% of total)
ival-exp: 4.0ms (1.2% of total)
ival-true: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess81.0ms (1.5%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01437
13735
29731
334130
4108430
5189130
6273130
7282530
8282930
9282930
01215
02115
13115
24815
39215
423115
538715
651815
775715
8101415
9118615
10128915
11130215
12130215
0130214
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(fma.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify37.0ms (0.7%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
cost-diff1
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
02152
13152
24852
39252
423152
538752
651852
775752
8101452
9118652
10128952
11130252
12130252
0130251
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
(exp.f64 x)
(sin.f64 (+.f64 x #s(literal 10 binary64)))
(+.f64 x #s(literal 10 binary64))
#s(literal 10 binary64)
Outputs
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(fma.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
(exp.f64 x)
(sin.f64 (+.f64 x #s(literal 10 binary64)))
(sin.f64 (+.f64 #s(literal 10 binary64) x))
(+.f64 x #s(literal 10 binary64))
(+.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)

localize126.0ms (2.3%)

Memory
41.3MiB live, 41.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
accuracy0.030886291389095773
(sin.f64 (+.f64 x #s(literal 10 binary64)))
accuracy0.0390625
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy29.49405972104929
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Samples
94.0ms191×2valid
17.0ms65×1valid
Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-cos: 36.0ms (39.1% of total)
ival-sin: 20.0ms (21.7% of total)
adjust: 15.0ms (16.3% of total)
ival-mult: 8.0ms (8.7% of total)
ival-add: 6.0ms (6.5% of total)
ival-sub: 4.0ms (4.3% of total)
ival-exp: 2.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated
Counts
5 → 23
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 (+.f64 x #s(literal 10 binary64)))
Outputs
(sin 10)
(+ (sin 10) (* x (cos 10)))
(+ (sin 10) (* x (+ (cos 10) (* -1/2 (* x (sin 10))))))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* x (+ 1/2 (* -1/6 (cos 10)))))))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* 1/2 x)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* x (+ 1/8 (* -1/24 x)))))))
(* (pow x 3) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/80 (pow x 2)) 1/8))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/80 (* -17/24192 (pow x 2)))) 1/8))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* -1/6 (* x (cos 10))))))))
(+ (sin (+ 10 x)) (* (exp x) (* (sin x) (- 1 (cos x)))))
(* (exp x) (* (sin x) (- 1 (cos x))))
(* (sin x) (- 1 (cos x)))
(- 1 (cos x))
(sin (+ 10 x))
(+ (sin (- 10 (* -1 x))) (* (exp x) (* (sin x) (- 1 (cos x)))))
(sin (- 10 (* -1 x)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (* (* (- 1 (cos x)) (sin x)) (exp x)) (* (- 1 (cos x)) (sin x)) (- 1 (cos x)) (sin (+ x 10)))
1.0ms
x
@-inf
((+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (* (* (- 1 (cos x)) (sin x)) (exp x)) (* (- 1 (cos x)) (sin x)) (- 1 (cos x)) (sin (+ x 10)))
1.0ms
x
@inf
((+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (* (* (- 1 (cos x)) (sin x)) (exp x)) (* (- 1 (cos x)) (sin x)) (- 1 (cos x)) (sin (+ x 10)))

simplify194.0ms (3.6%)

Memory
-31.0MiB live, 44.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103277
1299277
2804277
33399277
46115277
08467247
Stop Event
iter limit
node limit
Counts
23 → 23
Calls
Call 1
Inputs
(sin 10)
(+ (sin 10) (* x (cos 10)))
(+ (sin 10) (* x (+ (cos 10) (* -1/2 (* x (sin 10))))))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* x (+ 1/2 (* -1/6 (cos 10)))))))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* 1/2 x)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* x (+ 1/8 (* -1/24 x)))))))
(* (pow x 3) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/80 (pow x 2)) 1/8))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/80 (* -17/24192 (pow x 2)))) 1/8))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* -1/6 (* x (cos 10))))))))
(+ (sin (+ 10 x)) (* (exp x) (* (sin x) (- 1 (cos x)))))
(* (exp x) (* (sin x) (- 1 (cos x))))
(* (sin x) (- 1 (cos x)))
(- 1 (cos x))
(sin (+ 10 x))
(+ (sin (- 10 (* -1 x))) (* (exp x) (* (sin x) (- 1 (cos x)))))
(sin (- 10 (* -1 x)))
Outputs
(sin 10)
(sin.f64 #s(literal 10 binary64))
(+ (sin 10) (* x (cos 10)))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(+ (sin 10) (* x (+ (cos 10) (* -1/2 (* x (sin 10))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 #s(literal 10 binary64))) x (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal 10 binary64)))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* x (+ 1/2 (* -1/6 (cos 10)))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) (sin.f64 #s(literal 10 binary64)))) x (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal 10 binary64)))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* 1/8 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* x (+ 1/8 (* -1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/2 (* -1/8 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/80 (pow x 2)) 1/8))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/80 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/80 (* -17/24192 (pow x 2)))) 1/8))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/24192 binary64) (*.f64 x x) #s(literal 1/80 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* -1/6 (* x (cos 10))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 #s(literal 10 binary64))) x (*.f64 #s(literal -1/2 binary64) (sin.f64 #s(literal 10 binary64)))) x (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal 10 binary64)))
(+ (sin (+ 10 x)) (* (exp x) (* (sin x) (- 1 (cos x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(* (exp x) (* (sin x) (- 1 (cos x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
(* (sin x) (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin (+ 10 x))
(sin.f64 (+.f64 #s(literal 10 binary64) x))
(+ (sin (- 10 (* -1 x))) (* (exp x) (* (sin x) (- 1 (cos x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(sin (- 10 (* -1 x)))
(sin.f64 (+.f64 #s(literal 10 binary64) x))

rewrite170.0ms (3.1%)

Memory
50.7MiB live, 50.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
02140
17540
250640
3643740
0816739
Stop Event
iter limit
node limit
iter limit
Counts
5 → 289
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 (+.f64 x #s(literal 10 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (fma.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) (pow.f64 (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) (*.f64 (-.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (*.f64 (exp.f64 x) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))))
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(*.f64 (*.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 x #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x #s(literal 10 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) (sin.f64 (-.f64 #s(literal 10 binary64) x)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 10 binary64) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 x #s(literal 10 binary64))))) (neg.f64 (sin.f64 (-.f64 x #s(literal 10 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) (sin.f64 (-.f64 #s(literal 10 binary64) x)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 x #s(literal 10 binary64)))) (sin.f64 (-.f64 x #s(literal 10 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) (sin.f64 #s(literal 10 binary64))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) (sin.f64 (-.f64 #s(literal 10 binary64) x)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (*.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 x #s(literal 10 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) (sin.f64 (-.f64 #s(literal 10 binary64) x)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 3 binary64)))))
(neg.f64 (sin.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -100 binary64))) (-.f64 x #s(literal 10 binary64)))))
(neg.f64 (sin.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 10 binary64)) #s(literal 100 binary64)))))
(neg.f64 (sin.f64 (/.f64 (fma.f64 x x #s(literal -100 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 10 binary64)))))
(neg.f64 (sin.f64 (/.f64 (+.f64 #s(literal 1000 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 10 binary64)) #s(literal 100 binary64))))))
(fma.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)))
(fma.f64 (sin.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 10 binary64))))) (cos.f64 (neg.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64))))) (*.f64 (cos.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 10 binary64))))) (sin.f64 (neg.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64)))))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 1 binary64) (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)))
(fma.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x) (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)))
(fma.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1 binary64) (sin.f64 #s(literal 10 binary64))) (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64)) (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)))
(sin.f64 (+.f64 #s(literal 10 binary64) x))
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 10 binary64) x))) (cos.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 10 binary64) x)))) (*.f64 (cos.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 10 binary64) x))) (sin.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 10 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x #s(literal 10 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x #s(literal 10 binary64)))))
(-.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 10 binary64))))) (cos.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64))))) (*.f64 (cos.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 10 binary64))))) (sin.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64))))))
(+.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 10 binary64))))) (cos.f64 (neg.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64)))))) (*.f64 (cos.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 10 binary64))))) (sin.f64 (neg.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64)))))))
(+.f64 (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)) (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)))

eval134.0ms (2.5%)

Memory
-107.8MiB live, 35.5MiB allocated
Compiler

Compiled 10 784 to 1 172 computations (89.1% saved)

prune4.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3064310
Fresh000
Picked101
Done000
Total3074311
Accuracy
100.0%
Counts
311 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
100.0%
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
100.0%
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
99.6%
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
Compiler

Compiled 87 to 67 computations (23% saved)

simplify612.0ms (11.2%)

Memory
18.5MiB live, 18.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 10 binary64))
cost-diff0
(sin.f64 (-.f64 x #s(literal 10 binary64)))
cost-diff0
(+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
cost-diff0
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
cost-diff0
(sin.f64 #s(literal 10 binary64))
cost-diff0
(cos.f64 #s(literal 10 binary64))
cost-diff0
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
cost-diff0
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
cost-diff0
(sin.f64 #s(literal 10 binary64))
cost-diff0
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038201
062201
196201
2142201
3292201
4540201
5895201
61425201
72389201
83675201
94402201
104531201
114531201
124531201
134531201
144567201
154577201
164629201
174651201
184717201
194785201
204911201
215176201
225372201
235601201
246055201
256080201
266105201
276141201
286141201
296141201
06141199
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(sin.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(cos.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
x
(sin.f64 #s(literal 10 binary64))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(sin.f64 (+.f64 x #s(literal 10 binary64)))
(+.f64 x #s(literal 10 binary64))
#s(literal 10 binary64)
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
(+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(sin.f64 (-.f64 x #s(literal 10 binary64)))
(-.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
(sin.f64 (+.f64 #s(literal 10 binary64) x))
(+.f64 #s(literal 10 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)))
(*.f64 (exp.f64 x) (sin.f64 x))
(exp.f64 x)
(sin.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))
(sin.f64 #s(literal 10 binary64))
Outputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(sin.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(cos.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
x
(sin.f64 #s(literal 10 binary64))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(-.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sin.f64 (-.f64 #s(literal -10 binary64) x)))
#s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(sin.f64 (+.f64 x #s(literal 10 binary64)))
(sin.f64 (-.f64 x #s(literal -10 binary64)))
(+.f64 x #s(literal 10 binary64))
(-.f64 x #s(literal -10 binary64))
#s(literal 10 binary64)
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
(fma.f64 (-.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (-.f64 #s(literal -10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (exp.f64 x)) (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64)))))
(+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(-.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (-.f64 #s(literal -10 binary64) x)))
(sin.f64 (-.f64 x #s(literal 10 binary64)))
(-.f64 x #s(literal 10 binary64))
x
#s(literal 10 binary64)
(sin.f64 (+.f64 #s(literal 10 binary64) x))
(sin.f64 (-.f64 x #s(literal -10 binary64)))
(+.f64 #s(literal 10 binary64) x)
(-.f64 x #s(literal -10 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (exp.f64 x)) (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))))
(*.f64 (exp.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (exp.f64 x))
(exp.f64 x)
(sin.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
(*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64)))
(sin.f64 #s(literal 10 binary64))

localize339.0ms (6.2%)

Memory
-10.0MiB live, 77.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.030886291389095773
(sin.f64 (+.f64 #s(literal 10 binary64) x))
accuracy0.03972626953688403
(sin.f64 (-.f64 x #s(literal 10 binary64)))
accuracy29.49405972104929
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy59.94145767615574
(+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
accuracy0.0
(+.f64 x #s(literal 10 binary64))
accuracy0.0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
accuracy0.030886291389095773
(sin.f64 (+.f64 x #s(literal 10 binary64)))
accuracy0.23286750435278078
#s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
accuracy0.0
(sin.f64 #s(literal 10 binary64))
accuracy0.0
(cos.f64 #s(literal 10 binary64))
accuracy0.0
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
accuracy0.01171875
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
accuracy0.0
(sin.f64 #s(literal 10 binary64))
accuracy0.23888582919360885
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
Samples
257.0ms192×2valid
49.0ms64×1valid
Compiler

Compiled 185 to 33 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-sin: 117.0ms (43.9% of total)
ival-cos: 49.0ms (18.4% of total)
adjust: 36.0ms (13.5% of total)
ival-mult: 25.0ms (9.4% of total)
ival-add: 22.0ms (8.3% of total)
ival-sub: 8.0ms (3% of total)
ival-pow: 6.0ms (2.3% of total)
ival-exp: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
17 → 49
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(sin.f64 #s(literal 10 binary64))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(cos.f64 #s(literal 10 binary64))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
(+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(sin.f64 (-.f64 x #s(literal 10 binary64)))
(-.f64 x #s(literal 10 binary64))
(sin.f64 (+.f64 x #s(literal 10 binary64)))
(+.f64 x #s(literal 10 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 (+.f64 #s(literal 10 binary64) x))
Outputs
(sin 10)
(+ (sin 10) (* x (cos 10)))
(+ (sin 10) (* x (+ (cos 10) (* -1/2 (* x (sin 10))))))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* x (+ 1/2 (* -1/6 (cos 10)))))))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* 1/2 x)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* x (+ 1/8 (* -1/24 x)))))))
(pow x 3)
(+ (sin 10) (* 1/2 (+ (sin -10) (sin 10))))
(+ (sin 10) (+ (* 1/2 (* x (+ (cos -10) (cos 10)))) (* 1/2 (+ (sin -10) (sin 10)))))
(+ (sin 10) (+ (* 1/2 (+ (sin -10) (sin 10))) (* x (+ (* 1/2 (+ (cos -10) (cos 10))) (* x (+ (* -1/2 (sin 10)) (* 1/2 (+ (* -1/2 (sin -10)) (* -1/2 (sin 10))))))))))
(+ (sin 10) (+ (* 1/2 (+ (sin -10) (sin 10))) (* x (+ (* 1/2 (+ (cos -10) (cos 10))) (* x (+ (* -1/2 (sin 10)) (+ (* 1/2 (+ (* -1/2 (sin -10)) (* -1/2 (sin 10)))) (* x (+ 1/2 (* 1/2 (+ (* -1/6 (cos -10)) (* -1/6 (cos 10)))))))))))))
(+ (sin -10) (sin 10))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (cos 10)))))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (+ (cos 10) (* x (+ (* -1/2 (sin -10)) (* -1/2 (sin 10)))))))))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (+ (cos 10) (* x (+ (* -1/2 (sin -10)) (+ (* -1/2 (sin 10)) (* x (+ (* -1/6 (cos -10)) (* -1/6 (cos 10))))))))))))
(sin -10)
(+ (sin -10) (* x (cos -10)))
(+ (sin -10) (* x (+ (cos -10) (* -1/2 (* x (sin -10))))))
(+ (sin -10) (* x (+ (cos -10) (* x (+ (* -1/2 (sin -10)) (* -1/6 (* x (cos -10))))))))
-10
(- x 10)
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* -1/6 (* x (cos 10))))))))
10
(+ 10 x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ (sin (+ 10 x)) (* (exp x) (* (sin x) (- 1 (cos x)))))
(* x (cos 10))
(* x (+ (cos 10) (/ (sin 10) x)))
(* (exp x) (* (sin x) (- 1 (cos x))))
(+ (* 1/2 (+ (sin (+ 10 x)) (sin (- x 10)))) (+ (* (cos x) (sin 10)) (* (exp x) (* (sin x) (- 1 (cos x))))))
(+ (sin (+ 10 x)) (sin (- x 10)))
(sin (- x 10))
x
(* x (- 1 (* 10 (/ 1 x))))
(sin (+ 10 x))
(* x (+ 1 (* 10 (/ 1 x))))
(- 1 (cos x))
(+ (sin (- 10 (* -1 x))) (* (exp x) (* (sin x) (- 1 (cos x)))))
(* -1 (* x (+ (* -1 (cos 10)) (* -1 (/ (sin 10) x)))))
(+ (* 1/2 (+ (sin (neg (+ 10 (* -1 x)))) (sin (- 10 (* -1 x))))) (+ (* (cos x) (sin 10)) (* (exp x) (* (sin x) (- 1 (cos x))))))
(+ (sin (neg (+ 10 (* -1 x)))) (sin (- 10 (* -1 x))))
(sin (neg (+ 10 (* -1 x))))
(* -1 (* x (- (* 10 (/ 1 x)) 1)))
(sin (- 10 (* -1 x)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin 10) (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (+ (* (cos 10) x) (sin 10)) (cos 10) (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (* (* (- 1 (cos x)) (sin x)) (exp x)) (* (pow x 3) 1/2) (pow x 3) (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (+ (sin (- x 10)) (sin (+ 10 x))) (sin (- x 10)) (- x 10) (sin (+ x 10)) (+ x 10) (- 1 (cos x)) (sin (+ 10 x)))
3.0ms
x
@0
((+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin 10) (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (+ (* (cos 10) x) (sin 10)) (cos 10) (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (* (* (- 1 (cos x)) (sin x)) (exp x)) (* (pow x 3) 1/2) (pow x 3) (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (+ (sin (- x 10)) (sin (+ 10 x))) (sin (- x 10)) (- x 10) (sin (+ x 10)) (+ x 10) (- 1 (cos x)) (sin (+ 10 x)))
3.0ms
x
@-inf
((+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin 10) (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (+ (* (cos 10) x) (sin 10)) (cos 10) (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (* (* (- 1 (cos x)) (sin x)) (exp x)) (* (pow x 3) 1/2) (pow x 3) (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (+ (sin (- x 10)) (sin (+ 10 x))) (sin (- x 10)) (- x 10) (sin (+ x 10)) (+ x 10) (- 1 (cos x)) (sin (+ 10 x)))

simplify154.0ms (2.8%)

Memory
-35.2MiB live, 40.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178574
1579568
21723558
34538558
08130503
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
(sin 10)
(+ (sin 10) (* x (cos 10)))
(+ (sin 10) (* x (+ (cos 10) (* -1/2 (* x (sin 10))))))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* x (+ 1/2 (* -1/6 (cos 10)))))))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* 1/2 x)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* x (+ 1/8 (* -1/24 x)))))))
(pow x 3)
(+ (sin 10) (* 1/2 (+ (sin -10) (sin 10))))
(+ (sin 10) (+ (* 1/2 (* x (+ (cos -10) (cos 10)))) (* 1/2 (+ (sin -10) (sin 10)))))
(+ (sin 10) (+ (* 1/2 (+ (sin -10) (sin 10))) (* x (+ (* 1/2 (+ (cos -10) (cos 10))) (* x (+ (* -1/2 (sin 10)) (* 1/2 (+ (* -1/2 (sin -10)) (* -1/2 (sin 10))))))))))
(+ (sin 10) (+ (* 1/2 (+ (sin -10) (sin 10))) (* x (+ (* 1/2 (+ (cos -10) (cos 10))) (* x (+ (* -1/2 (sin 10)) (+ (* 1/2 (+ (* -1/2 (sin -10)) (* -1/2 (sin 10)))) (* x (+ 1/2 (* 1/2 (+ (* -1/6 (cos -10)) (* -1/6 (cos 10)))))))))))))
(+ (sin -10) (sin 10))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (cos 10)))))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (+ (cos 10) (* x (+ (* -1/2 (sin -10)) (* -1/2 (sin 10)))))))))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (+ (cos 10) (* x (+ (* -1/2 (sin -10)) (+ (* -1/2 (sin 10)) (* x (+ (* -1/6 (cos -10)) (* -1/6 (cos 10))))))))))))
(sin -10)
(+ (sin -10) (* x (cos -10)))
(+ (sin -10) (* x (+ (cos -10) (* -1/2 (* x (sin -10))))))
(+ (sin -10) (* x (+ (cos -10) (* x (+ (* -1/2 (sin -10)) (* -1/6 (* x (cos -10))))))))
-10
(- x 10)
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* -1/6 (* x (cos 10))))))))
10
(+ 10 x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(+ (sin (+ 10 x)) (* (exp x) (* (sin x) (- 1 (cos x)))))
(* x (cos 10))
(* x (+ (cos 10) (/ (sin 10) x)))
(* (exp x) (* (sin x) (- 1 (cos x))))
(+ (* 1/2 (+ (sin (+ 10 x)) (sin (- x 10)))) (+ (* (cos x) (sin 10)) (* (exp x) (* (sin x) (- 1 (cos x))))))
(+ (sin (+ 10 x)) (sin (- x 10)))
(sin (- x 10))
x
(* x (- 1 (* 10 (/ 1 x))))
(sin (+ 10 x))
(* x (+ 1 (* 10 (/ 1 x))))
(- 1 (cos x))
(+ (sin (- 10 (* -1 x))) (* (exp x) (* (sin x) (- 1 (cos x)))))
(* -1 (* x (+ (* -1 (cos 10)) (* -1 (/ (sin 10) x)))))
(+ (* 1/2 (+ (sin (neg (+ 10 (* -1 x)))) (sin (- 10 (* -1 x))))) (+ (* (cos x) (sin 10)) (* (exp x) (* (sin x) (- 1 (cos x))))))
(+ (sin (neg (+ 10 (* -1 x)))) (sin (- 10 (* -1 x))))
(sin (neg (+ 10 (* -1 x))))
(* -1 (* x (- (* 10 (/ 1 x)) 1)))
(sin (- 10 (* -1 x)))
Outputs
(sin 10)
(sin.f64 #s(literal 10 binary64))
(+ (sin 10) (* x (cos 10)))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(+ (sin 10) (* x (+ (cos 10) (* -1/2 (* x (sin 10))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 #s(literal 10 binary64))) x (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal 10 binary64)))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* x (+ 1/2 (* -1/6 (cos 10)))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) (sin.f64 #s(literal 10 binary64)))) x (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal 10 binary64)))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (+ 1/2 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* 1/8 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/2 (* x (+ 1/2 (* x (+ 1/8 (* -1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (sin 10) (* 1/2 (+ (sin -10) (sin 10))))
(fma.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)) (*.f64 (sin.f64 #s(literal -10 binary64)) #s(literal 1/2 binary64)))
(+ (sin 10) (+ (* 1/2 (* x (+ (cos -10) (cos 10)))) (* 1/2 (+ (sin -10) (sin 10)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal -10 binary64))) (*.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64))))
(+ (sin 10) (+ (* 1/2 (+ (sin -10) (sin 10))) (* x (+ (* 1/2 (+ (cos -10) (cos 10))) (* x (+ (* -1/2 (sin 10)) (* 1/2 (+ (* -1/2 (sin -10)) (* -1/2 (sin 10))))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sin.f64 #s(literal -10 binary64)) (*.f64 (sin.f64 #s(literal 10 binary64)) #s(literal -3/4 binary64))) x (*.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))) x (fma.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)) (*.f64 (sin.f64 #s(literal -10 binary64)) #s(literal 1/2 binary64))))
(+ (sin 10) (+ (* 1/2 (+ (sin -10) (sin 10))) (* x (+ (* 1/2 (+ (cos -10) (cos 10))) (* x (+ (* -1/2 (sin 10)) (+ (* 1/2 (+ (* -1/2 (sin -10)) (* -1/2 (sin 10)))) (* x (+ 1/2 (* 1/2 (+ (* -1/6 (cos -10)) (* -1/6 (cos 10)))))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/4 binary64) (sin.f64 #s(literal -10 binary64)) (*.f64 (sin.f64 #s(literal 10 binary64)) #s(literal -3/4 binary64)))) x (*.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))) x (fma.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)) (*.f64 (sin.f64 #s(literal -10 binary64)) #s(literal 1/2 binary64))))
(+ (sin -10) (sin 10))
(+.f64 (sin.f64 #s(literal -10 binary64)) (sin.f64 #s(literal 10 binary64)))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (cos 10)))))
(fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (+.f64 (sin.f64 #s(literal -10 binary64)) (sin.f64 #s(literal 10 binary64))))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (+ (cos 10) (* x (+ (* -1/2 (sin -10)) (* -1/2 (sin 10)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (sin.f64 #s(literal -10 binary64)) (sin.f64 #s(literal 10 binary64))) (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64)))) x (+.f64 (sin.f64 #s(literal -10 binary64)) (sin.f64 #s(literal 10 binary64))))
(+ (sin -10) (+ (sin 10) (* x (+ (cos -10) (+ (cos 10) (* x (+ (* -1/2 (sin -10)) (+ (* -1/2 (sin 10)) (* x (+ (* -1/6 (cos -10)) (* -1/6 (cos 10))))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) (*.f64 (+.f64 (sin.f64 #s(literal -10 binary64)) (sin.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64))) x (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64)))) x (+.f64 (sin.f64 #s(literal -10 binary64)) (sin.f64 #s(literal 10 binary64))))
(sin -10)
(sin.f64 #s(literal -10 binary64))
(+ (sin -10) (* x (cos -10)))
(fma.f64 (cos.f64 #s(literal -10 binary64)) x (sin.f64 #s(literal -10 binary64)))
(+ (sin -10) (* x (+ (cos -10) (* -1/2 (* x (sin -10))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 #s(literal -10 binary64)) x) #s(literal -1/2 binary64) (cos.f64 #s(literal -10 binary64))) x (sin.f64 #s(literal -10 binary64)))
(+ (sin -10) (* x (+ (cos -10) (* x (+ (* -1/2 (sin -10)) (* -1/6 (* x (cos -10))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 #s(literal -10 binary64)) x) #s(literal -1/6 binary64) (*.f64 (sin.f64 #s(literal -10 binary64)) #s(literal -1/2 binary64))) x (cos.f64 #s(literal -10 binary64))) x (sin.f64 #s(literal -10 binary64)))
-10
#s(literal -10 binary64)
(- x 10)
(-.f64 x #s(literal 10 binary64))
(+ (sin 10) (* x (+ (cos 10) (* x (+ (* -1/2 (sin 10)) (* -1/6 (* x (cos 10))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 #s(literal 10 binary64))) x (*.f64 #s(literal -1/2 binary64) (sin.f64 #s(literal 10 binary64)))) x (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal 10 binary64)))
10
#s(literal 10 binary64)
(+ 10 x)
(+.f64 #s(literal 10 binary64) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(+ (sin (+ 10 x)) (* (exp x) (* (sin x) (- 1 (cos x)))))
(fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (exp.f64 x) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(* x (cos 10))
(*.f64 (cos.f64 #s(literal 10 binary64)) x)
(* x (+ (cos 10) (/ (sin 10) x)))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(* (exp x) (* (sin x) (- 1 (cos x))))
(*.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (exp.f64 x))
(+ (* 1/2 (+ (sin (+ 10 x)) (sin (- x 10)))) (+ (* (cos x) (sin 10)) (* (exp x) (* (sin x) (- 1 (cos x))))))
(fma.f64 (-.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (exp.f64 x) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
(+ (sin (+ 10 x)) (sin (- x 10)))
(-.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 #s(literal 10 binary64) x)))
(sin (- x 10))
(sin.f64 (-.f64 x #s(literal 10 binary64)))
x
(* x (- 1 (* 10 (/ 1 x))))
(-.f64 x #s(literal 10 binary64))
(sin (+ 10 x))
(sin.f64 (+.f64 #s(literal 10 binary64) x))
(* x (+ 1 (* 10 (/ 1 x))))
(+.f64 #s(literal 10 binary64) x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ (sin (- 10 (* -1 x))) (* (exp x) (* (sin x) (- 1 (cos x)))))
(fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (exp.f64 x) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(* -1 (* x (+ (* -1 (cos 10)) (* -1 (/ (sin 10) x)))))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(+ (* 1/2 (+ (sin (neg (+ 10 (* -1 x)))) (sin (- 10 (* -1 x))))) (+ (* (cos x) (sin 10)) (* (exp x) (* (sin x) (- 1 (cos x))))))
(fma.f64 (-.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (exp.f64 x) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
(+ (sin (neg (+ 10 (* -1 x)))) (sin (- 10 (* -1 x))))
(-.f64 (sin.f64 (+.f64 #s(literal 10 binary64) x)) (sin.f64 (-.f64 #s(literal 10 binary64) x)))
(sin (neg (+ 10 (* -1 x))))
(sin.f64 (-.f64 x #s(literal 10 binary64)))
(* -1 (* x (- (* 10 (/ 1 x)) 1)))
(-.f64 x #s(literal 10 binary64))
(sin (- 10 (* -1 x)))
(sin.f64 (+.f64 #s(literal 10 binary64) x))

rewrite182.0ms (3.3%)

Memory
-16.7MiB live, 61.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038152
062152
1240152
21781152
08254150
Stop Event
iter limit
node limit
iter limit
Counts
17 → 420
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(sin.f64 #s(literal 10 binary64))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64)))
(cos.f64 #s(literal 10 binary64))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
(+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x)))
(sin.f64 (-.f64 x #s(literal 10 binary64)))
(-.f64 x #s(literal 10 binary64))
(sin.f64 (+.f64 x #s(literal 10 binary64)))
(+.f64 x #s(literal 10 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 (+.f64 #s(literal 10 binary64) x))
Outputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(sin.f64 #s(literal 10 binary64))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))) (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))) (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64)))))))
(fma.f64 (+.f64 (sin.f64 (-.f64 #s(literal 10 binary64) x)) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64)) (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64)) (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))))
(fma.f64 (cos.f64 #s(literal 10 binary64)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))))
(fma.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))))
(sin.f64 (+.f64 #s(literal 10 binary64) x))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 10 binary64)))) (cos.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 10 binary64)))) (sin.f64 (/.f64 #s(literal 100 binary64) (-.f64 x #s(literal 10 binary64))))))
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 10 binary64) x))) (cos.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 10 binary64) x)))) (*.f64 (cos.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 10 binary64) x))) (sin.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 10 binary64) x)))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))) (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 #s(literal 10 binary64))) (*.f64 (sin.f64 x) (cos.f64 #s(literal 10 binary64))))

eval68.0ms (1.2%)

Memory
50.4MiB live, 50.4MiB allocated
Compiler

Compiled 24 911 to 1 681 computations (93.3% saved)

prune8.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4323435
Fresh000
Picked224
Done000
Total4345439
Accuracy
100.0%
Counts
439 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
100.0%
#s(approx (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal -10 binary64))) (*.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)))))
100.0%
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
100.0%
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) (sin.f64 #s(literal 10 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))))
99.6%
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
Compiler

Compiled 350 to 186 computations (46.9% saved)

regimes4.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal -10 binary64))) (*.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) (sin.f64 #s(literal 10 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))))
(fma.f64 (+.f64 (sin.f64 (-.f64 x #s(literal 10 binary64))) (sin.f64 (+.f64 #s(literal 10 binary64) x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 x) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 10 binary64)) (cos.f64 x))))
Outputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) (sin.f64 #s(literal 10 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal -10 binary64))) (*.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)))))
Outputs
#s(approx (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal -10 binary64))) (*.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)))))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes89.0ms (1.6%)

Memory
-122.6MiB live, 6.3MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Outputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
Calls

2 calls:

87.0ms
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes3.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Outputs
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
Outputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (exp.f64 x)) (sin.f64 (+.f64 x #s(literal 10 binary64))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify113.0ms (2.1%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055144
186144
2131144
3286144
4559144
5965144
61717144
74011144
87156144
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) (sin.f64 #s(literal 10 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal -10 binary64))) (*.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))
Outputs
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) (sin.f64 #s(literal 10 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) (sin.f64 #s(literal 10 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 10 binary64)) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (+ (* (+ (sin (- x 10)) (sin (+ 10 x))) 1/2) (+ (* (* (exp x) (sin x)) (- 1 (cos x))) (* (sin 10) (cos x)))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (cos.f64 #s(literal -10 binary64)) (cos.f64 #s(literal 10 binary64))) x (sin.f64 #s(literal -10 binary64))) (*.f64 #s(literal 3/2 binary64) (sin.f64 #s(literal 10 binary64)))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (fma.f64 (cos.f64 #s(literal 10 binary64)) x (sin.f64 #s(literal 10 binary64))))
(+.f64 #s(approx (* (* (- 1 (cos x)) (sin x)) (exp x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x #s(literal 10 binary64))))
#s(approx (+ (* (* (- 1 (cos x)) (sin x)) (exp x)) (sin (+ x 10))) (sin.f64 #s(literal 10 binary64)))

soundness699.0ms (12.8%)

Memory
7.3MiB live, 7.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103277
1299277
2804277
33399277
46115277
08467247
038152
062152
1240152
21781152
08254150
0178574
1579568
21723558
34538558
08130503
01240
02140
17540
250640
3643740
0816739
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 226 to 127 computations (43.8% saved)

preprocess36.0ms (0.7%)

Memory
22.4MiB live, 22.4MiB allocated
Compiler

Compiled 318 to 140 computations (56% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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