Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze190.0ms (1.7%)

Memory

13.2MiB live, 574.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample4.6s (42%)

Memory

-45.7MiB live, 4 474.1MiB allocated

Samples

1.6s	1 573×	5	exit
1.1s	2 536×	2	valid
753.0ms	3 546×	1	valid
359.0ms	3 232×	0	invalid
243.0ms	2 174×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-cos: 1.5s (40.3% of total)

ival-fmod: 750.0ms (20.6% of total)

ival-exp: 661.0ms (18.1% of total)

adjust: 276.0ms (7.6% of total)

ival-sqrt: 269.0ms (7.4% of total)

ival-mult: 146.0ms (4% of total)

ival-neg: 57.0ms (1.6% of total)

ival-true: 12.0ms (0.3% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

explain195.0ms (1.8%)

Memory

10.1MiB live, 172.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
197	0	-	197	(5.533270149375199e-77)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
2	0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(exp.f64 x)`
0	3	(352.2441338675506)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	3	0
`*.f64`	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`	*uo**	2	0
↳	`(exp.f64 x)`	underflow	2
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	2
↳	`(exp.f64 (neg.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	4	243
-	1	8

Precision

0.8

Recall

0.016194331983805668

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	243
-	1	0	8

Precision?

0.8

Recall?

0.016194331983805668

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms	140×	2	valid
52.0ms	240×	1	valid
13.0ms	96×	1	exit
4.0ms	36×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-exp: 31.0ms (26.6% of total)

ival-cos: 30.0ms (25.7% of total)

ival-fmod: 26.0ms (22.3% of total)

ival-sqrt: 11.0ms (9.4% of total)

adjust: 10.0ms (8.6% of total)

ival-mult: 5.0ms (4.3% of total)

ival-neg: 2.0ms (1.7% of total)

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

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

preprocess16.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	(sqrt.f64 (cos.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	15	29
1	22	29
2	32	28
3	38	28
4	43	28
5	49	28
6	56	28
7	62	28
8	63	28
0	63	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize84.0ms (0.8%)

Memory

6.1MiB live, 80.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.5039117521016504	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	46.63861221583317	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

34.0ms	70×	2	valid
33.0ms	120×	1	valid
6.0ms	48×	1	exit
2.0ms	18×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-fmod: 20.0ms (31.3% of total)

ival-exp: 16.0ms (25.1% of total)

adjust: 10.0ms (15.7% of total)

ival-cos: 9.0ms (14.1% of total)

ival-sqrt: 4.0ms (6.3% of total)

ival-mult: 3.0ms (4.7% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series10.0ms (0.1%)

Memory

-33.0MiB live, 4.4MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms	x	@	inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms	x	@	-inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

Time

Variable

Point

Expression

1.0ms

((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

1.0ms

inf

((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

1.0ms

-inf

((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

simplify158.0ms (1.4%)

Memory

-1.5MiB live, 118.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	401
1	181	380
2	413	368
3	1050	358
4	1888	358
5	3537	358
6	4860	358
7	6181	358
8	7674	358
0	8041	336

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))

Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

rewrite59.0ms (0.5%)

Memory

15.7MiB live, 52.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	15	23
1	24	22
2	63	22
3	257	22
0	1992	22

Stop Event

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

Counts

5 → 64

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval12.0ms (0.1%)

Memory: 19.0MiB live, 19.0MiB allocated
Compiler: Compiled 1 579 to 280 computations (82.3% saved)

prune74.0ms (0.7%)

Memory

-11.8MiB live, 35.6MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	107	17	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	18	125

Accuracy

26.4%

Counts

125 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.6%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	7.6%	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	7.6%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
▶	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
▶	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	6.7%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	14.2%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	22.5%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.6%	(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
	5.4%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))

Compiler

Compiled 506 to 370 computations (26.9% saved)

simplify26.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (cos.f64 x))
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	300
0	65	299
1	93	299
2	145	294
3	268	294
4	520	294
5	712	294
6	843	294
7	1041	294
8	1060	294
9	1063	294
10	1064	294
0	1064	294

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
#s(literal -19/5760 binary64)
(*.f64 x x)
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 x)
x
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(cos.f64 x)

Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
#s(literal -19/5760 binary64)
(*.f64 x x)
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 x)
x
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(cos.f64 x)

localize278.0ms (2.5%)

Memory

1.9MiB live, 155.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 x)
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	0.5000055021016504	(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	46.63861221583317	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.0078125	(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
accuracy	0.5039117521016504	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	1.5589228734330156	#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	46.63861221583317	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0	(exp.f64 x)
accuracy	0.5039117521016504	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	1.74893875609755	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	46.63861221583317	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0	(exp.f64 x)
accuracy	0.5039117521016504	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy	1.7545780089244547	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	46.63861221583317	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	0	(cos.f64 x)
accuracy	0.5039117521016504	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.9909024172377776	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
accuracy	46.63861221583317	(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))

Samples

117.0ms	69×	2	valid
65.0ms	120×	1	valid
14.0ms	48×	1	exit
5.0ms	19×	0	valid

Compiler

Compiled 212 to 28 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

adjust: 79.0ms (47.4% of total)

ival-exp: 22.0ms (13.2% of total)

ival-fmod: 13.0ms (7.8% of total)

const: 12.0ms (7.2% of total)

ival-mult: 12.0ms (7.2% of total)

ival-cos: 10.0ms (6% of total)

ival-add: 7.0ms (4.2% of total)

ival-div: 4.0ms (2.4% of total)

ival-sqrt: 4.0ms (2.4% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series18.0ms (0.2%)

Memory

-12.4MiB live, 24.4MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (patch (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -19/5760 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (patch (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (patch (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (patch (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (patch (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))
2.0ms	x	@	-inf	((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))
2.0ms	x	@	0	((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))

Time

Variable

Point

Expression

6.0ms

inf

((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))

2.0ms

-inf

((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))

2.0ms

((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))

simplify221.0ms (2%)

Memory

18.8MiB live, 214.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	2136
1	404	2070
2	1110	1944
3	3582	1890
0	8085	1792

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

Inputs
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
-1/96
(- (* -19/5760 (pow x 2)) 1/96)
(- (* -19/5760 (pow x 2)) 1/96)
(- (* -19/5760 (pow x 2)) 1/96)
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -19/5760 (pow x 2))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -19/5760 (pow x 2))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))

Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
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(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -19/5760 (pow x 2))
(.f64 #s(literal -19/5760 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))

rewrite251.0ms (2.3%)

Memory

-22.1MiB live, 177.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	235
0	65	234
1	174	229
2	930	229
0	8528	229

Stop Event

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

Counts

23 → 359

Calls

Call 1

Inputs
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (cos.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(cos.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))

Outputs
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eval263.0ms (2.4%)

Memory: 27.4MiB live, 147.6MiB allocated
Compiler: Compiled 16 794 to 1 958 computations (88.3% saved)

prune169.0ms (1.5%)

Memory

-39.5MiB live, 87.1MiB allocated

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	798	23	821
Fresh	5	7	12
Picked	1	4	5
Done	0	1	1
Total	804	35	839

Accuracy

26.8%

Counts

839 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	6.7%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
✓	7.6%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	6.8%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
	7.6%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (*.f64 (log.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
	7.6%	(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal -1 binary64))))
	7.6%	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	7.6%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	6.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
▶	5.9%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	1.2%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
	1.6%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
▶	1.4%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
✓	6.7%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.1%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	5.9%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
▶	5.4%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
▶	14.2%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	14.0%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	15.9%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	22.1%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	7.6%	(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	7.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))

Compiler

Compiled 1 072 to 787 computations (26.6% saved)

simplify195.0ms (1.8%)

Memory

2.1MiB live, 77.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))))
cost-diff	128	(.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
cost-diff	384	(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))
cost-diff	0	(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	435
0	93	435
1	133	435
2	212	432
3	438	432
4	1001	432
5	1560	432
6	2033	432
7	3010	432
8	4881	432
9	6410	432
0	8191	415

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (neg x)) #s(literal 1 binary64))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
(.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
#s(literal -19/5760 binary64)
(/.f64 #s(literal 1/96 binary64) (*.f64 x x))
#s(literal 1/96 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (neg x)) #s(literal 1 binary64))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -19/5760 binary64) x (/.f64 #s(literal -1/96 binary64) x)))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -19/5760 binary64) x (/.f64 #s(literal -1/96 binary64) x))))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -19/5760 binary64) x (/.f64 #s(literal -1/96 binary64) x)))))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -19/5760 binary64) x (/.f64 #s(literal -1/96 binary64) x))))
(.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -19/5760 binary64) x (/.f64 #s(literal -1/96 binary64) x)))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 19/5760 binary64))
#s(literal -19/5760 binary64)
(/.f64 #s(literal 1/96 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1/96 binary64) x) x)
#s(literal 1/96 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize320.0ms (2.9%)

Memory

4.9MiB live, 161.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.4015783656016756	#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))
accuracy	29.141322917947708	(.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
accuracy	46.63242095606473	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))))
accuracy	49.34150787360597	#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
accuracy	0.01171875	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy	0.5000055021016504	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.5296965811522554	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	46.63242095606473	(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))
accuracy	0.5000055021016504	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
accuracy	1.5654656499362227	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	1.802325465860382	#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
accuracy	46.63242095606473	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.5000055021016504	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
accuracy	1.5579515689557812	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	2.3228976097268728	#s(approx (exp (neg x)) #s(literal 1 binary64))
accuracy	46.63242095606473	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	0.5000055021016504	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy	1.5579515689557812	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	1.7943603768025544	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
accuracy	46.63242095606473	(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))

Samples

105.0ms	120×	1	valid
80.0ms	48×	1	exit
65.0ms	70×	2	valid
6.0ms	17×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 239 to 41 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-exp: 40.0ms (21.8% of total)

adjust: 32.0ms (17.4% of total)

ival-sub: 28.0ms (15.2% of total)

ival-mult: 20.0ms (10.9% of total)

const: 17.0ms (9.3% of total)

ival-fmod: 13.0ms (7.1% of total)

ival-cos: 10.0ms (5.4% of total)

ival-add: 10.0ms (5.4% of total)

ival-sqrt: 4.0ms (2.2% of total)

ival-pow: 4.0ms (2.2% of total)

ival-div: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series16.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (patch (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (patch (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg x)) #s(literal 1 binary64)) (patch #s(approx (exp (neg x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) (patch #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) (patch #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))) #<representation binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (- -19/5760 (/ 1/96 (* x x))) (* (- -19/5760 (/ 1/96 (* x x))) (pow x 6)) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (exp (neg x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (sqrt (cos x)))

2.0ms

-inf

((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (- -19/5760 (/ 1/96 (* x x))) (* (- -19/5760 (/ 1/96 (* x x))) (pow x 6)) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (exp (neg x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (sqrt (cos x)))

1.0ms

((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (+ (* (+ (* 1/6 x) 1/2) x) 1) (- -19/5760 (/ 1/96 (* x x))) (* (- -19/5760 (/ 1/96 (* x x))) (pow x 6)) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (exp (neg x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (sqrt (cos x)))

simplify183.0ms (1.7%)

Memory

29.8MiB live, 141.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2106
1	392	2012
2	1024	1902
3	2991	1874
4	6626	1874
0	8662	1750

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 286

Calls

Call 1

Inputs
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(/ -1/96 (pow x 2))
(/ (- (* -19/5760 (pow x 2)) 1/96) (pow x 2))
(/ (- (* -19/5760 (pow x 2)) 1/96) (pow x 2))
(/ (- (* -19/5760 (pow x 2)) 1/96) (pow x 2))
(* -1/96 (pow x 4))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
-19/5760
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
-19/5760
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))

Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(/ -1/96 (pow x 2))
(/.f64 #s(literal -1/96 binary64) (*.f64 x x))
(/ (- (* -19/5760 (pow x 2)) 1/96) (pow x 2))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(/ (- (* -19/5760 (pow x 2)) 1/96) (pow x 2))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(/ (- (* -19/5760 (pow x 2)) 1/96) (pow x 2))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(* -1/96 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)))
(* (pow x 4) (- (* -19/5760 (pow x 2)) 1/96))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)))
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(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
-19/5760
#s(literal -19/5760 binary64)
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(* -1 (+ 19/5760 (* 1/96 (/ 1 (pow x 2)))))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(* -19/5760 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -19/5760 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64) #s(literal 1 binary64)))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))

rewrite191.0ms (1.7%)

Memory

-24.6MiB live, 258.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	321
0	91	321
1	264	319
2	1646	319
0	8244	305

Stop Event

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

Counts

24 → 242

Calls

Call 1

Inputs
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x)))
(.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))

Outputs
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eval84.0ms (0.8%)

Memory: -6.3MiB live, 159.7MiB allocated
Compiler: Compiled 11 608 to 1 578 computations (86.4% saved)

prune47.0ms (0.4%)

Memory

-15.3MiB live, 151.9MiB allocated

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	558	13	571
Fresh	8	17	25
Picked	2	3	5
Done	0	5	5
Total	568	38	606

Accuracy

61.3%

Counts

606 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	24.7%	(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
✓	7.6%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	6.8%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
	7.6%	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	7.6%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
▶	6.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	6.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
✓	5.9%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	1.6%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (/.f64 (-.f64 (.f64 #s(literal -6859/191102976000 binary64) (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64))) (.f64 (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/884736 binary64)))) (.f64 (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)) (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
✓	6.7%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.1%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	6.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
✓	5.4%	(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	6.3%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	5.9%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	14.0%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	13.2%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	5.9%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	15.9%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	15.2%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
✓	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	5.8%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	23.0%	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
▶	45.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.4%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	19.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
▶	22.1%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	7.6%	(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 1 271 to 878 computations (30.9% saved)

simplify399.0ms (3.6%)

Memory

22.3MiB live, 177.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(-.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
cost-diff	0	(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
cost-diff	0	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff	0	(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	475
0	98	475
1	137	475
2	206	473
3	438	473
4	1056	473
5	1809	473
6	2632	473
7	3470	473
8	4334	473
9	6095	473
10	6491	473
11	6512	473
12	6528	473
13	6528	473
14	6849	473
15	6852	473
16	6852	473
17	7556	473
18	7876	473
19	7876	473
20	7876	473
21	7876	473
22	7886	473
0	7886	469

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 x)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 x)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize227.0ms (2.1%)

Memory

-12.4MiB live, 349.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.5000055021016504	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	1.3614122381503961	#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	46.63242095606473	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.5000055021016504	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
accuracy	1.5369586205486263	#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	1.5654656499362227	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	46.63242095606473	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.5000055021016504	(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
accuracy	1.5579515689557812	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	1.7943603768025544	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
accuracy	46.63242095606473	(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	1.5579515689557812	#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy	2.3228976097268728	#s(approx (exp (neg x)) #s(literal 1 binary64))
accuracy	2.326753859543936	#s(approx (exp x) #s(literal 1 binary64))
accuracy	46.63242095606473	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy	0.5000055021016504	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.5296965811522554	#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
accuracy	46.63242095606473	(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))
accuracy	48.99577101337477	#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

Samples

81.0ms	70×	2	valid
79.0ms	120×	1	valid
21.0ms	48×	1	exit
6.0ms	17×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 269 to 41 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

adjust: 24.0ms (17.8% of total)

ival-mult: 22.0ms (16.3% of total)

ival-exp: 18.0ms (13.4% of total)

ival-fmod: 18.0ms (13.4% of total)

const: 16.0ms (11.9% of total)

ival-add: 13.0ms (9.6% of total)

ival-cos: 10.0ms (7.4% of total)

ival-sqrt: 4.0ms (3% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series15.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) (patch (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (patch #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg x)) #s(literal 1 binary64)) (patch #s(approx (exp (neg x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (patch (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (patch #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (cos x) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -1/720 (* x x)) 1/24))

1.0ms

-inf

((fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (cos x) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -1/720 (* x x)) 1/24))

1.0ms

((fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (cos x) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -1/720 (* x x)) 1/24))

simplify190.0ms (1.7%)

Memory

-3.5MiB live, 184.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2077
1	380	1960
2	1051	1895
3	3865	1885
0	8195	1769

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

Inputs
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(cos x)
(cos x)
(cos x)
(cos x)
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(exp x)
(exp x)
(exp x)
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(cos x)
(cos x)
(cos x)
(cos x)
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))

Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
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(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
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(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

rewrite181.0ms (1.6%)

Memory

7.0MiB live, 163.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	361
0	98	361
1	273	359
2	1695	359
0	8508	355

Stop Event

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

Counts

25 → 187

Calls

Call 1

Inputs
(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

Outputs
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eval88.0ms (0.8%)

Memory: 10.4MiB live, 95.9MiB allocated
Compiler: Compiled 10 220 to 1 200 computations (88.3% saved)

prune59.0ms (0.5%)

Memory

-25.5MiB live, 99.5MiB allocated

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	520	17	537
Fresh	7	18	25
Picked	1	4	5
Done	3	5	8
Total	531	44	575

Accuracy

62.0%

Counts

575 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.6%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	6.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
	14.0%	(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
	23.6%	(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
	23.5%	(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
	24.1%	(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
	45.8%	(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	7.6%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	6.8%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
	7.6%	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	7.6%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	7.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
✓	6.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
✓	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	7.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	1.6%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (/.f64 (-.f64 (.f64 #s(literal -6859/191102976000 binary64) (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64))) (.f64 (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/884736 binary64)))) (.f64 (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)) (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	6.3%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	5.9%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	14.0%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	13.2%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	6.0%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
	5.9%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
	15.9%	(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	24.7%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	23.0%	(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	14.4%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) x)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	41.7%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	45.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.4%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	47.7%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	5.3%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	19.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
✓	22.1%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
	7.6%	(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 2 271 to 905 computations (60.1% saved)

regimes45.0ms (0.4%)

Memory

-0.8MiB live, 73.9MiB allocated

Counts

71 → 3

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) x)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal -1 binary64))))
(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (*.f64 (log.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (/.f64 (-.f64 (.f64 #s(literal -6859/191102976000 binary64) (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64))) (.f64 (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/884736 binary64)))) (.f64 (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)) (+.f64 (fma.f64 #s(literal -19/552960 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/9216 binary64))) #s(literal 361/33177600 binary64)))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal -1 binary64))))

(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Calls

2 calls:

22.0ms	x
19.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
59.7%	3	`x`
60.2%	3	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes21.0ms (0.2%)

Memory

-2.1MiB live, 36.2MiB allocated

Counts

67 → 3

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) x) x)))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Calls

1 calls:

15.0ms

(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
60.2%	3	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes17.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

60 → 3

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Calls

1 calls:

14.0ms

(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
60.2%	3	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.2%)

Memory

-11.8MiB live, 29.0MiB allocated

Counts

56 → 3

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Calls

1 calls:

18.0ms

(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
60.1%	3	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.2%)

Memory

-8.4MiB live, 28.7MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ ( -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))

Calls

1 calls:

14.0ms

(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
58.5%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ ( -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))

Calls

1 calls:

10.0ms

(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
58.5%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes25.0ms (0.2%)

Memory

3.0MiB live, 40.2MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))

Calls

2 calls:

11.0ms	x
11.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
24.7%	1	`x`
24.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes13.0ms (0.1%)

Memory

-17.3MiB live, 20.2MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))

Calls

2 calls:

6.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
6.0ms	x

Results

Accuracy	Segments	Branch
24.7%	1	`x`
24.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))

Outputs
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))

Calls

2 calls:

5.0ms	x
4.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
24.1%	1	`x`
24.1%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.1%)

Memory

-32.0MiB live, 8.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Calls

2 calls:

8.0ms	x
2.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
23.0%	1	`x`
23.0%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
22.1%	1	`x`
22.1%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	5.403455460558663e-11	0.0002229998551213126

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	5.403455460558663e-11	0.0002229998551213126

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	5.403455460558663e-11	0.0002229998551213126

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN
0.0ms	5.403455460558663e-11	0.0002229998551213126

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.16528966404231776	0.22968758167776376

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.16528966404231776	0.22968758167776376

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify27.0ms (0.2%)

Memory

11.8MiB live, 49.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	566
1	91	565
2	97	565
3	100	565
4	102	565
5	103	565

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal -1 binary64)))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal -1 binary64)))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) #s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64)))
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))

soundness1.8s (16.2%)

Memory

17.6MiB live, 813.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	148	2136
1	404	2070
2	1110	1944
3	3582	1890
0	8085	1792
0	147	2106
1	392	2012
2	1024	1902
3	2991	1874
4	6626	1874
0	8662	1750
0	8	23
0	15	23
1	24	22
2	63	22
3	257	22
0	1992	22
0	57	321
0	91	321
1	264	319
2	1646	319
0	8244	305
0	76	401
1	181	380
2	413	368
3	1050	358
4	1888	358
5	3537	358
6	4860	358
7	6181	358
8	7674	358
0	8041	336
0	37	235
0	65	234
1	174	229
2	930	229
0	8528	229
0	140	2077
1	380	1960
2	1051	1895
3	3865	1885
0	8195	1769

Stop Event

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

Compiler

Compiled 918 to 456 computations (50.3% saved)

preprocess157.0ms (1.4%)

Memory: -30.0MiB live, 252.9MiB allocated
Compiler: Compiled 798 to 144 computations (82% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9

start0.0ms (0%)

analyze190.0ms (1.7%)

sample4.6s (42%)

explain195.0ms (1.8%)

preprocess16.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize84.0ms (0.8%)

series10.0ms (0.1%)

simplify158.0ms (1.4%)

rewrite59.0ms (0.5%)

eval12.0ms (0.1%)

prune74.0ms (0.7%)

simplify26.0ms (0.2%)

localize278.0ms (2.5%)

series18.0ms (0.2%)

simplify221.0ms (2%)

rewrite251.0ms (2.3%)

eval263.0ms (2.4%)

prune169.0ms (1.5%)

simplify195.0ms (1.8%)

localize320.0ms (2.9%)

series16.0ms (0.1%)

simplify183.0ms (1.7%)

rewrite191.0ms (1.7%)

eval84.0ms (0.8%)

prune47.0ms (0.4%)

simplify399.0ms (3.6%)

localize227.0ms (2.1%)

series15.0ms (0.1%)

simplify190.0ms (1.7%)

rewrite181.0ms (1.6%)

eval88.0ms (0.8%)

prune59.0ms (0.5%)

regimes45.0ms (0.4%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes25.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.2%)

soundness1.8s (16.2%)

preprocess157.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	122	21
4	168	21
5	188	21
6	205	21
7	224	21
8	231	21
0	8	10
0	15	10
1	22	10
2	32	9
3	38	9
4	43	9
5	49	9
6	56	9
7	62	9
8	63	9
0	63	9