Metrics for 0.9897218787411787*pow(1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.4s (31.5%)

Memory

135.2MiB live, 697.6MiB allocated

Samples

952.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 687.0ms

ival-pow: 221.0ms (32.2% of total)

ival-mult: 123.0ms (17.9% of total)

ival-pow2: 114.0ms (16.6% of total)

ival-<=: 68.0ms (9.9% of total)

ival-div: 60.0ms (8.7% of total)

ival-sub: 56.0ms (8.2% of total)

exact: 26.0ms (3.8% of total)

ival-and: 15.0ms (2.2% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain153.0ms (3.4%)

Memory

-17.9MiB live, 54.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(pow.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))`
-	-	`(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))`
-	-	`(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))`
-	-	`#s(literal 8914622168598399/9007199254740992 binary64)`
-	-	`(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 29 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-pow: 13.0ms (40.6% of total)

ival-pow2: 6.0ms (18.7% of total)

ival-div: 4.0ms (12.5% of total)

ival-mult: 4.0ms (12.5% of total)

ival-sub: 3.0ms (9.4% of total)

ival-true: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

ival-assert: 0.0ms (0% of total)

preprocess398.0ms (8.7%)

Memory

-23.5MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	29	18
2	57	18
3	110	18
4	150	18
5	203	18
6	330	18
7	607	18
8	1010	18
9	1583	18
10	3904	18
11	5595	18
12	6353	18
13	6651	18
14	6707	18
15	6739	18
16	7003	18
17	7597	18
0	10	9
0	16	9
1	22	9
2	30	9
3	37	9
4	51	9
5	72	9
6	116	9
7	289	9
8	622	9
9	1194	9
10	2099	9
11	3837	9
12	4816	9
13	5147	9
14	5431	9
15	5600	9
16	5677	9
17	5968	9
18	6964	9
0	8094	9

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))

Outputs

(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))

(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 29/2 binary64)) #s(literal 8914622168598399/9007199254740992 binary64))

Compiler

Compiled 11 to 10 computations (9.1% 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

Status	Accuracy	Program
▶	99.9%	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify265.0ms (5.8%)

Memory

49.5MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
cost-diff	2	(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	16	30
1	22	30
2	30	30
3	37	30
4	51	30
5	72	30
6	116	30
7	289	30
8	622	30
9	1194	30
10	2099	30
11	3837	30
12	4816	30
13	5147	30
14	5431	30
15	5600	30
16	5677	30
17	5968	30
18	6964	30
0	8094	30

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
#s(literal 8914622168598399/9007199254740992 binary64)
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
#s(literal 29 binary64)

Outputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 29/2 binary64)) #s(literal 8914622168598399/9007199254740992 binary64))
#s(literal 8914622168598399/9007199254740992 binary64)
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 29/2 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
#s(literal 29/2 binary64)
#s(literal 29 binary64)

localize82.0ms (1.8%)

Memory

-68.1MiB live, 10.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	0.015625	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
accuracy	0.06579503333832457	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))

Samples

74.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 7.0ms (37.4% of total)

ival-div: 4.0ms (21.4% of total)

ival-pow2: 4.0ms (21.4% of total)

ival-sub: 2.0ms (10.7% of total)

ival-mult: 2.0ms (10.7% of total)

exact: 1.0ms (5.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

4 → 27

Calls

Call 1

Inputs
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
8914622168598399/9007199254740992
(+ 8914622168598399/9007199254740992 (* -258524042889353571/18014398509481984 (pow x 2)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 6980149158012546417/72057594037927936 (* -58167909650104553475/144115188075855872 (pow x 2)))) 258524042889353571/18014398509481984)))
1
(+ 1 (* -29/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 783/8 (pow x 2)) 29/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 783/8 (* -6525/16 (pow x 2)))) 29/2)))
(+ 1 (* -1 (pow x 2)))
(* 8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* (pow x 29) (sqrt -1))
(* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))))
(* -1 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ 29 2) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (- 1 (pow x 2)))
1.0ms	x	@	0	((/ 29 2) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (- 1 (pow x 2)))
1.0ms	x	@	-inf	((/ 29 2) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (- 1 (pow x 2)))

Time

Variable

Point

Expression

2.0ms

inf

((/ 29 2) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (- 1 (pow x 2)))

1.0ms

((/ 29 2) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (- 1 (pow x 2)))

1.0ms

-inf

((/ 29 2) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (- 1 (pow x 2)))

simplify164.0ms (3.6%)

Memory

41.9MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	575
1	292	429
2	1013	429
3	2817	423
4	7847	423
0	8211	405

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

Inputs
8914622168598399/9007199254740992
(+ 8914622168598399/9007199254740992 (* -258524042889353571/18014398509481984 (pow x 2)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 6980149158012546417/72057594037927936 (* -58167909650104553475/144115188075855872 (pow x 2)))) 258524042889353571/18014398509481984)))
1
(+ 1 (* -29/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 783/8 (pow x 2)) 29/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 783/8 (* -6525/16 (pow x 2)))) 29/2)))
(+ 1 (* -1 (pow x 2)))
(* 8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* (pow x 29) (sqrt -1))
(* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))))
(* -1 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))))

Outputs
8914622168598399/9007199254740992
#s(literal 8914622168598399/9007199254740992 binary64)
(+ 8914622168598399/9007199254740992 (* -258524042889353571/18014398509481984 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 6980149158012546417/72057594037927936 (* -58167909650104553475/144115188075855872 (pow x 2)))) 258524042889353571/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -29/2 (pow x 2)))
(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 783/8 (pow x 2)) 29/2)))
(fma.f64 (fma.f64 #s(literal 783/8 binary64) (.f64 x x) #s(literal -29/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 783/8 (* -6525/16 (pow x 2)))) 29/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -6525/16 binary64) (.f64 x x) #s(literal 783/8 binary64)) (.f64 x x) #s(literal -29/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* 8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(.f64 (.f64 (pow.f64 x #s(literal 29 binary64)) #s(literal 8914622168598399/9007199254740992 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 (/.f64 #s(literal 258524042889353571/18014398509481984 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 258524042889353571/18014398509481984 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 #s(literal 58167909650104553475/144115188075855872 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 258524042889353571/18014398509481984 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (/.f64 (/.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -783/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 6525/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 (/.f64 #s(literal -783/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(.f64 (.f64 #s(literal -8914622168598399/9007199254740992 binary64) (pow.f64 x #s(literal 29 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal -8914622168598399/9007199254740992 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal -8914622168598399/9007199254740992 binary64) (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))))
(.f64 (fma.f64 #s(literal -8914622168598399/9007199254740992 binary64) (sqrt.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x))) (/.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(.f64 (-.f64 (/.f64 #s(literal -29/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(.f64 (-.f64 (/.f64 #s(literal 783/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal -6525/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 783/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 29 binary64)))

rewrite276.0ms (6.1%)

Memory

-119.5MiB live, 49.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	16	22
1	48	22
2	216	22
3	1737	22
0	9188	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 283

Calls

Call 1

Inputs
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
#s(literal 29/2 binary64)
(.f64 (.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) #s(literal 8914622168598399/9007199254740992 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) #s(literal 8914622168598399/9007199254740992 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) #s(literal 8914622168598399/9007199254740992 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) #s(literal 8914622168598399/9007199254740992 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/2 binary64)) #s(literal 8914622168598399/9007199254740992 binary64))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 29/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -29/4 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 29/4 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -29/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 29/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 29/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 29/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 29/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -29/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 29/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -29/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 29/2 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 29/2 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 29/2 binary64)) (pow.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 29/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 29/2 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 29/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (neg.f64 (log1p.f64 (.f64 x x)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (neg.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 87/8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -29/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -29/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -29/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 29/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 29/2 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -29/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/4 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 29/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 29/4 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 29/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 87/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 29/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 29/4 binary64))
(pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -29/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 29/2 binary64)) (neg.f64 (log1p.f64 (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 29/2 binary64))) (log1p.f64 (.f64 x x))))
(exp.f64 (fma.f64 (log1p.f64 (.f64 x x)) #s(literal 29/4 binary64) (.f64 (log1p.f64 (*.f64 x x)) #s(literal 29/4 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 29/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 29/4 binary64)))
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(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))) (/.f64 (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 (*.f64 x x)))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))

eval41.0ms (0.9%)

Memory: 30.7MiB live, 30.7MiB allocated
Compiler: Compiled 8 796 to 1 378 computations (84.3% saved)

prune8.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	302	7	309
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	303	7	310

Accuracy

100.0%

Counts

310 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
	99.9%	(.f64 #s(literal 8914622168598399/9007199254740992 binary64) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -29/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/2 binary64))))
▶	98.9%	(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
	99.2%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
▶	99.2%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
▶	98.9%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
▶	98.3%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))

Compiler

Compiled 254 to 202 computations (20.5% saved)

simplify237.0ms (5.2%)

Memory

-45.7MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
cost-diff	0	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64))
cost-diff	0	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
cost-diff	0	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
cost-diff	0	(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
cost-diff	0	(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
cost-diff	2	(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	45	157
1	75	157
2	98	157
3	140	157
4	182	157
5	203	157
6	301	157
7	522	157
8	789	157
9	1502	157
10	3254	157
11	5137	157
12	6619	157
13	6932	157
14	7261	157
15	7300	157
16	7328	157
17	7388	157
0	8085	157

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
#s(literal 8914622168598399/9007199254740992 binary64)
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
#s(literal 29 binary64)
#s(literal 2 binary64)
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(literal 8914622168598399/9007199254740992 binary64)
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64))
(*.f64 x x)
x
#s(literal -258524042889353571/18014398509481984 binary64)
#s(literal 8914622168598399/9007199254740992 binary64)
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(literal 8914622168598399/9007199254740992 binary64)
#s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -29/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
#s(literal 6980149158012546417/72057594037927936 binary64)
(*.f64 x x)
x
#s(literal -258524042889353571/18014398509481984 binary64)
#s(literal 8914622168598399/9007199254740992 binary64)

Outputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 29/2 binary64)) #s(literal 8914622168598399/9007199254740992 binary64))
#s(literal 8914622168598399/9007199254740992 binary64)
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 29/2 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
#s(literal 29/2 binary64)
#s(literal 29 binary64)
#s(literal 2 binary64)
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(literal 8914622168598399/9007199254740992 binary64)
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 #s(literal -258524042889353571/18014398509481984 binary64) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64))
(fma.f64 #s(literal -258524042889353571/18014398509481984 binary64) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(*.f64 x x)
x
#s(literal -258524042889353571/18014398509481984 binary64)
#s(literal 8914622168598399/9007199254740992 binary64)
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(literal 8914622168598399/9007199254740992 binary64)
#s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -29/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
#s(literal 6980149158012546417/72057594037927936 binary64)
(*.f64 x x)
x
#s(literal -258524042889353571/18014398509481984 binary64)
#s(literal 8914622168598399/9007199254740992 binary64)

localize75.0ms (1.6%)

Memory

26.4MiB live, 26.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
accuracy	0.5327087493521464	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.006191259768442017	(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.015625	(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
accuracy	0.7068763509886904	#s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64))
accuracy	0.706759742099769	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
accuracy	1.0738257014521388	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
accuracy	0.0	(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.015625	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
accuracy	0.06579503333832457	(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))

Samples

58.0ms

256×

valid

Compiler

Compiled 148 to 29 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 14.0ms (33.1% of total)

ival-pow: 13.0ms (30.8% of total)

ival-add: 7.0ms (16.6% of total)

ival-pow2: 3.0ms (7.1% of total)

ival-div: 2.0ms (4.7% of total)

ival-neg: 2.0ms (4.7% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

15 → 40

Calls

Call 1

Inputs
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64))
(*.f64 x x)
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
(neg.f64 x)

Outputs
8914622168598399/9007199254740992
(+ 8914622168598399/9007199254740992 (* -258524042889353571/18014398509481984 (pow x 2)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 6980149158012546417/72057594037927936 (* -58167909650104553475/144115188075855872 (pow x 2)))) 258524042889353571/18014398509481984)))
1
(+ 1 (* -29/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 783/8 (pow x 2)) 29/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 783/8 (* -6525/16 (pow x 2)))) 29/2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
-258524042889353571/18014398509481984
(- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)
(* -1 x)
(* 8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* (pow x 29) (sqrt -1))
(* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -258524042889353571/18014398509481984 (pow x 2))
(* (pow x 2) (- (* 8914622168598399/9007199254740992 (/ 1 (pow x 2))) 258524042889353571/18014398509481984))
(* -29/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 29/2))
(* 6980149158012546417/72057594037927936 (pow x 4))
(* (pow x 4) (- 6980149158012546417/72057594037927936 (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 6980149158012546417/72057594037927936 (/ 8914622168598399/9007199254740992 (pow x 4))) (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(* 6980149158012546417/72057594037927936 (pow x 2))
(* (pow x 2) (- 6980149158012546417/72057594037927936 (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(* -8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))))
(* -1 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ 29 2) (* 8914622168598399/9007199254740992 (pow (+ (* (neg x) x) 1) (/ 29 2))) (pow (+ (* (neg x) x) 1) (/ 29 2)) (+ (* (neg x) x) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (* x x) -258524042889353571/18014398509481984) 8914622168598399/9007199254740992) (* x x) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (+ (* -29/2 (* x x)) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (* x x)) 8914622168598399/9007199254740992) (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (neg x))
2.0ms	x	@	-inf	((/ 29 2) (* 8914622168598399/9007199254740992 (pow (+ (* (neg x) x) 1) (/ 29 2))) (pow (+ (* (neg x) x) 1) (/ 29 2)) (+ (* (neg x) x) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (* x x) -258524042889353571/18014398509481984) 8914622168598399/9007199254740992) (* x x) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (+ (* -29/2 (* x x)) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (* x x)) 8914622168598399/9007199254740992) (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (neg x))
2.0ms	x	@	0	((/ 29 2) (* 8914622168598399/9007199254740992 (pow (+ (* (neg x) x) 1) (/ 29 2))) (pow (+ (* (neg x) x) 1) (/ 29 2)) (+ (* (neg x) x) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (* x x) -258524042889353571/18014398509481984) 8914622168598399/9007199254740992) (* x x) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (+ (* -29/2 (* x x)) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (* x x)) 8914622168598399/9007199254740992) (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (neg x))

Time

Variable

Point

Expression

2.0ms

inf

((/ 29 2) (* 8914622168598399/9007199254740992 (pow (+ (* (neg x) x) 1) (/ 29 2))) (pow (+ (* (neg x) x) 1) (/ 29 2)) (+ (* (neg x) x) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (* x x) -258524042889353571/18014398509481984) 8914622168598399/9007199254740992) (* x x) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (+ (* -29/2 (* x x)) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (* x x)) 8914622168598399/9007199254740992) (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (neg x))

2.0ms

-inf

((/ 29 2) (* 8914622168598399/9007199254740992 (pow (+ (* (neg x) x) 1) (/ 29 2))) (pow (+ (* (neg x) x) 1) (/ 29 2)) (+ (* (neg x) x) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (* x x) -258524042889353571/18014398509481984) 8914622168598399/9007199254740992) (* x x) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (+ (* -29/2 (* x x)) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (* x x)) 8914622168598399/9007199254740992) (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (neg x))

2.0ms

((/ 29 2) (* 8914622168598399/9007199254740992 (pow (+ (* (neg x) x) 1) (/ 29 2))) (pow (+ (* (neg x) x) 1) (/ 29 2)) (+ (* (neg x) x) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (* x x) -258524042889353571/18014398509481984) 8914622168598399/9007199254740992) (* x x) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (pow (- 1 (pow x 2)) (/ 29 2)) (+ (* -29/2 (* x x)) 1) (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (+ (* (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (* x x)) 8914622168598399/9007199254740992) (+ (* 6980149158012546417/72057594037927936 (* x x)) -258524042889353571/18014398509481984) (neg x))

simplify181.0ms (4%)

Memory

-27.9MiB live, 49.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	657
1	330	511
2	1112	511
3	3074	505
0	8405	481

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
8914622168598399/9007199254740992
(+ 8914622168598399/9007199254740992 (* -258524042889353571/18014398509481984 (pow x 2)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 6980149158012546417/72057594037927936 (* -58167909650104553475/144115188075855872 (pow x 2)))) 258524042889353571/18014398509481984)))
1
(+ 1 (* -29/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 783/8 (pow x 2)) 29/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 783/8 (* -6525/16 (pow x 2)))) 29/2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
-258524042889353571/18014398509481984
(- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)
(* -1 x)
(* 8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* (pow x 29) (sqrt -1))
(* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -258524042889353571/18014398509481984 (pow x 2))
(* (pow x 2) (- (* 8914622168598399/9007199254740992 (/ 1 (pow x 2))) 258524042889353571/18014398509481984))
(* -29/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 29/2))
(* 6980149158012546417/72057594037927936 (pow x 4))
(* (pow x 4) (- 6980149158012546417/72057594037927936 (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 6980149158012546417/72057594037927936 (/ 8914622168598399/9007199254740992 (pow x 4))) (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(* 6980149158012546417/72057594037927936 (pow x 2))
(* (pow x 2) (- 6980149158012546417/72057594037927936 (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(* -8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))))
(* -1 (* (pow x 29) (sqrt -1)))
(* -1 (* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))))

Outputs
8914622168598399/9007199254740992
#s(literal 8914622168598399/9007199254740992 binary64)
(+ 8914622168598399/9007199254740992 (* -258524042889353571/18014398509481984 (pow x 2)))
(fma.f64 #s(literal -258524042889353571/18014398509481984 binary64) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)))
(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(+ 8914622168598399/9007199254740992 (* (pow x 2) (- (* (pow x 2) (+ 6980149158012546417/72057594037927936 (* -58167909650104553475/144115188075855872 (pow x 2)))) 258524042889353571/18014398509481984)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -29/2 (pow x 2)))
(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 783/8 (pow x 2)) 29/2)))
(fma.f64 (fma.f64 #s(literal 783/8 binary64) (.f64 x x) #s(literal -29/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 783/8 (* -6525/16 (pow x 2)))) 29/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -6525/16 binary64) (.f64 x x) #s(literal 783/8 binary64)) (.f64 x x) #s(literal -29/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
-258524042889353571/18014398509481984
#s(literal -258524042889353571/18014398509481984 binary64)
(- (* 6980149158012546417/72057594037927936 (pow x 2)) 258524042889353571/18014398509481984)
(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
(* -1 x)
(neg.f64 x)
(* 8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(.f64 (.f64 (pow.f64 x #s(literal 29 binary64)) #s(literal 8914622168598399/9007199254740992 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1))))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 (/.f64 #s(literal 258524042889353571/18014398509481984 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 258524042889353571/18014398509481984 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 #s(literal 58167909650104553475/144115188075855872 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 258524042889353571/18014398509481984 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (/.f64 (/.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -783/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (pow.f64 x #s(literal 29 binary64)))
(* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 6525/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (/.f64 (/.f64 #s(literal -783/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -258524042889353571/18014398509481984 (pow x 2))
(.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 x x))
(* (pow x 2) (- (* 8914622168598399/9007199254740992 (/ 1 (pow x 2))) 258524042889353571/18014398509481984))
(fma.f64 #s(literal -258524042889353571/18014398509481984 binary64) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(* -29/2 (pow x 2))
(.f64 #s(literal -29/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 29/2))
(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 6980149158012546417/72057594037927936 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6980149158012546417/72057594037927936 binary64))
(* (pow x 4) (- 6980149158012546417/72057594037927936 (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) x) x)
(* (pow x 4) (- (+ 6980149158012546417/72057594037927936 (/ 8914622168598399/9007199254740992 (pow x 4))) (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6980149158012546417/72057594037927936 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 x x)))
(* 6980149158012546417/72057594037927936 (pow x 2))
(.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x))
(* (pow x 2) (- 6980149158012546417/72057594037927936 (* 258524042889353571/18014398509481984 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
(* -8914622168598399/9007199254740992 (* (pow x 29) (sqrt -1)))
(.f64 (.f64 #s(literal -8914622168598399/9007199254740992 binary64) (pow.f64 x #s(literal 29 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (pow x 29) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (* 258524042889353571/18014398509481984 (/ 1 (* (pow x 2) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal -8914622168598399/9007199254740992 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -258524042889353571/18014398509481984 binary64) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1)))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal -258524042889353571/18014398509481984 binary64) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (* -8914622168598399/18014398509481984 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 8914622168598399/18014398509481984 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 8914622168598399/9007199254740992 (sqrt -1)) (/ 258524042889353571/18014398509481984 (* (pow x 2) (sqrt -1))))))))
(.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -258524042889353571/18014398509481984 binary64) x) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8914622168598399/9007199254740992 binary64) (/.f64 (/.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 58167909650104553475/144115188075855872 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (sqrt -1) (* 29/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(.f64 (-.f64 (/.f64 #s(literal -29/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) x)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1)))))))
(.f64 (-.f64 (/.f64 #s(literal 783/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 29 binary64)))
(* -1 (* (pow x 29) (+ (sqrt -1) (+ (* -1/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ (- 3654 (* -29/2 (/ (+ 406 (* 841/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (/ 29/2 (* (pow x 2) (sqrt -1))))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal -6525/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 783/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 29/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 29 binary64)))

rewrite207.0ms (4.5%)

Memory

56.1MiB live, 56.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	134
0	45	134
1	164	134
2	976	134
0	8711	126

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 400

Calls

Call 1

Inputs
(/.f64 #s(literal 29 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64))
(*.f64 x x)
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
(fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64))
(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
(neg.f64 x)

Outputs
#s(literal 29/2 binary64)
(.f64 (.f64 (*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)))
(.f64 (.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/8 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 29/4 binary64)) #s(literal 8914622168598399/9007199254740992 binary64))))
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(/.f64 (fma.f64 #s(literal 340090193579982197929025743945104907950761206314022693713/374144419156711147060143317175368453031918731001856 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -17278371873189158051568650304582884110692537027588411/5846006549323611672814739330865132078623730171904 binary64)) (fma.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (.f64 #s(literal -1804536380300120766226558932762205107/1298074214633706907132624082305024 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x))) (-.f64 #s(literal 66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (*.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (fma.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1804536380300120766226558932762205107/1298074214633706907132624082305024 binary64)))) (fma.f64 #s(literal 340090193579982197929025743945104907950761206314022693713/374144419156711147060143317175368453031918731001856 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -17278371873189158051568650304582884110692537027588411/5846006549323611672814739330865132078623730171904 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -66834680751856324675057738250452041/324518553658426726783156020576256 binary64))) (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal 258524042889353571/18014398509481984 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 340090193579982197929025743945104907950761206314022693713/374144419156711147060143317175368453031918731001856 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -17278371873189158051568650304582884110692537027588411/5846006549323611672814739330865132078623730171904 binary64))) (fma.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (.f64 #s(literal -1804536380300120766226558932762205107/1298074214633706907132624082305024 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -66834680751856324675057738250452041/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 340090193579982197929025743945104907950761206314022693713/374144419156711147060143317175368453031918731001856 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -17278371873189158051568650304582884110692537027588411/5846006549323611672814739330865132078623730171904 binary64)) (neg.f64 (fma.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (.f64 #s(literal -1804536380300120766226558932762205107/1298074214633706907132624082305024 binary64) (.f64 x x)))))))
(fma.f64 (.f64 (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -258524042889353571/18014398509481984 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) x)) #s(literal -258524042889353571/18014398509481984 binary64))
(fma.f64 (*.f64 #s(literal 6980149158012546417/72057594037927936 binary64) x) x #s(literal -258524042889353571/18014398509481984 binary64))
(fma.f64 (.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal 258524042889353571/18014398509481984 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (fma.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)))))
(fma.f64 (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal -258524042889353571/18014398509481984 binary64))
(fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))
(fma.f64 (*.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64) #s(literal -258524042889353571/18014398509481984 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x)) #s(literal -258524042889353571/18014398509481984 binary64))
(fma.f64 x (*.f64 #s(literal 6980149158012546417/72057594037927936 binary64) x) #s(literal -258524042889353571/18014398509481984 binary64))
(-.f64 (/.f64 #s(literal 66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (-.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal 258524042889353571/18014398509481984 binary64))) (/.f64 #s(literal -66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (fma.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 48722482268103260688117091184579537889/5192296858534827628530496329220096 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal 258524042889353571/18014398509481984 binary64))) (neg.f64 (/.f64 #s(literal -66834680751856324675057738250452041/324518553658426726783156020576256 binary64) (fma.f64 #s(literal -6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)))))
(+.f64 (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x)) #s(literal -258524042889353571/18014398509481984 binary64))
(+.f64 #s(literal -258524042889353571/18014398509481984 binary64) (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (*.f64 x x) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval86.0ms (1.9%)

Memory: -31.0MiB live, 47.5MiB allocated
Compiler: Compiled 14 711 to 2 011 computations (86.3% saved)

prune11.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	523	2	525
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	524	8	532

Accuracy

100.0%

Counts

532 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
	99.9%	(.f64 #s(literal 8914622168598399/9007199254740992 binary64) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -29/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/2 binary64))))
✓	98.9%	(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
	99.2%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
	49.9%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
✓	99.2%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
✓	98.9%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
✓	98.3%	#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))

Compiler

Compiled 326 to 177 computations (45.7% saved)

regimes12.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -29/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 29/2 binary64))))

Outputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 29/2 binary64)))

Calls

5 calls:

2.0ms	x
2.0ms	(pow.f64 x #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
2.0ms	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
2.0ms	(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))`
99.9%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))`
99.9%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))`
99.9%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 29 to 27 computations (6.9% saved)

regimes9.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 6980149158012546417/72057594037927936 binary64) x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))

Outputs

#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (*.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))

Calls

5 calls:

2.0ms	x
2.0ms	(pow.f64 x #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
2.0ms	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
1.0ms	(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))`
99.2%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))`
99.2%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))`
99.2%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 29 to 27 computations (6.9% saved)

regimes64.0ms (1.4%)

Memory

-81.8MiB live, 6.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
(.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (.f64 x x) #s(literal 1 binary64))))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))

Outputs

#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))

Calls

5 calls:

58.0ms	(pow.f64 x #s(literal 2 binary64))
1.0ms	x
1.0ms	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
1.0ms	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
1.0ms	(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))`
99.2%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))`
99.2%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))`
99.2%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 29 to 27 computations (6.9% saved)

regimes6.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))

#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))

(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) #s(approx (pow (- 1 (pow x 2)) (/ 29 2)) (fma.f64 #s(literal -29/2 binary64) (*.f64 x x) #s(literal 1 binary64))))

Outputs

#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
1.0ms	(pow.f64 x #s(literal 2 binary64))
1.0ms	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))
1.0ms	(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(pow.f64 x #s(literal 2 binary64))`
98.9%	1	`(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))`
98.9%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))`
98.9%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 29 to 27 computations (6.9% saved)

regimes5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))

Outputs
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))
1.0ms	(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(pow.f64 x #s(literal 2 binary64))
1.0ms	(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64))))`
98.3%	1	`(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 29 binary64) #s(literal 2 binary64)))`
98.3%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))`
98.3%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 29 to 27 computations (6.9% saved)

simplify75.0ms (1.6%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	83
1	39	83
2	48	83
3	57	83
4	78	83
5	101	83
6	214	83
7	1144	83
8	2881	83
9	5561	83

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))

Outputs
(*.f64 #s(literal 8914622168598399/9007199254740992 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 29/2 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -58167909650104553475/144115188075855872 binary64) (.f64 x x) #s(literal 6980149158012546417/72057594037927936 binary64)) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (*.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (fma.f64 #s(literal 6980149158012546417/72057594037927936 binary64) (.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64)) (.f64 x x) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) (fma.f64 (*.f64 x x) #s(literal -258524042889353571/18014398509481984 binary64) #s(literal 8914622168598399/9007199254740992 binary64)))
#s(approx (* 8914622168598399/9007199254740992 (pow (- 1 (pow x 2)) (/ 29 2))) #s(literal 8914622168598399/9007199254740992 binary64))

soundness725.0ms (15.9%)

Memory

8.6MiB live, 8.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	575
1	292	429
2	1013	429
3	2817	423
4	7847	423
0	8211	405
0	10	22
0	16	22
1	48	22
2	216	22
3	1737	22
0	9188	19
0	29	134
0	45	134
1	164	134
2	976	134
0	8711	126

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 167 to 81 computations (51.5% saved)

preprocess30.0ms (0.7%)

Memory: 19.1MiB live, 19.1MiB allocated
Compiler: Compiled 204 to 82 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

0.9897218787411787*pow(1 - pow(x, 2), 29.0/2.0);

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (31.5%)

explain153.0ms (3.4%)

preprocess398.0ms (8.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify265.0ms (5.8%)

localize82.0ms (1.8%)

series5.0ms (0.1%)

simplify164.0ms (3.6%)

rewrite276.0ms (6.1%)

eval41.0ms (0.9%)

prune8.0ms (0.2%)

simplify237.0ms (5.2%)

localize75.0ms (1.6%)

series6.0ms (0.1%)

simplify181.0ms (4%)

rewrite207.0ms (4.5%)

eval86.0ms (1.9%)

prune11.0ms (0.2%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes64.0ms (1.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify75.0ms (1.6%)

soundness725.0ms (15.9%)

preprocess30.0ms (0.7%)

end0.0ms (0%)

Profiling