Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze203.0ms (2.2%)

Memory

-12.4MiB live, 77.5MiB 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)

sample4.5s (48.7%)

Memory

79.5MiB live, 5 042.9MiB allocated

Samples

1.5s	1 573×	5	exit
1.1s	2 530×	2	valid
779.0ms	3 599×	1	valid
359.0ms	3 361×	0	invalid
219.0ms	2 127×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-cos: 1.2s (34.4% of total)

ival-fmod: 849.0ms (24.1% of total)

ival-exp: 685.0ms (19.4% of total)

adjust: 300.0ms (8.5% of total)

ival-sqrt: 248.0ms (7% of total)

ival-mult: 142.0ms (4% of total)

ival-neg: 74.0ms (2.1% of total)

ival-true: 11.0ms (0.3% of total)

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

Bogosity

explain196.0ms (2.1%)

Memory

3.3MiB live, 172.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
203	0	-	203	(-3.104421512457172e-165)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
1	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	1	(221.46803527163408)	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
`*.f64`	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`	*uo**	1	0
↳	`(exp.f64 x)`	underflow	1
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	1
↳	`(exp.f64 (neg.f64 x))`	overflow	1
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	3

Confusion

	Predicted +	Predicted -
+	2	247
-	0	7

Precision

1.0

Recall

0.008032128514056224

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	2	245
-	0	1	6

Precision?

0.8

Recall?

0.01606425702811245

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	160×	2	valid
57.0ms	234×	1	valid
12.0ms	90×	1	exit
3.0ms	28×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-exp: 35.0ms (30.1% of total)

ival-cos: 27.0ms (23.2% of total)

ival-fmod: 27.0ms (23.2% of total)

adjust: 10.0ms (8.6% of total)

ival-sqrt: 8.0ms (6.9% 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)

preprocess18.0ms (0.2%)

Memory

-26.4MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(*.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

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)))
cost-diff	1	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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)

localize77.0ms (0.8%)

Memory

13.3MiB live, 55.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.0078125	(sqrt.f64 (cos.f64 x))
accuracy	0.2656277510508252	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	47.95582142616697	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

33.0ms	80×	2	valid
25.0ms	117×	1	valid
7.0ms	45×	1	exit
1.0ms	14×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-exp: 18.0ms (32.8% of total)

ival-fmod: 13.0ms (23.7% of total)

ival-cos: 11.0ms (20% of total)

adjust: 5.0ms (9.1% of total)

ival-sqrt: 4.0ms (7.3% of total)

ival-mult: 3.0ms (5.5% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series3.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

5 → 19

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)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify152.0ms (1.7%)

Memory

10.9MiB live, 86.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	218
1	181	197
2	419	191
3	1054	181
4	1893	181
5	3808	181
6	5146	181
7	6480	181
8	7960	181
0	8327	159

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

Inputs
(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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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 (* -1/2 (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)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(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)))
(+ (* -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))))
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 (* -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 (* -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))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (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))

rewrite99.0ms (1.1%)

Memory

-25.1MiB live, 56.7MiB 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	1990	22

Stop Event

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

Counts

5 → 64

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)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)

Outputs
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.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 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.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 (neg.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 x)
(.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 x))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x)) (*.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x)))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))

eval9.0ms (0.1%)

Memory: 9.7MiB live, 9.7MiB allocated
Compiler: Compiled 1 207 to 278 computations (77% saved)

prune6.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	74	8	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	8	83

Accuracy

24.7%

Counts

83 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.1%	(*.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)))
	7.0%	(.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)))
▶	14.6%	(*.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 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	23.6%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	21.3%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	5.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
▶	6.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 242 to 186 computations (23.1% saved)

simplify67.0ms (0.7%)

Memory

-14.2MiB live, 23.8MiB 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) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff	1	(*.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)))
cost-diff	3	(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #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 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))
cost-diff	1	(*.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 (cos.f64 x))) (exp.f64 (neg.f64 x)))
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (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)))
cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (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)))
cost-diff	1	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	235
0	58	229
1	76	227
2	113	221
3	167	221
4	249	221
5	308	221
6	467	221
7	642	221
8	746	221
9	918	221
10	1147	221
11	1266	221
12	1372	221
13	1530	221
14	1658	221
15	1673	221
16	1677	221
17	1683	221
18	1685	221
0	1685	221

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

localize268.0ms (2.9%)

Memory

22.5MiB live, 251.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 (cos.f64 x) #s(literal 1/4 binary64))
accuracy	0.015625	(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.2656277510508252	(*.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)))
accuracy	47.95582142616697	(fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.0078125	(sqrt.f64 (cos.f64 x))
accuracy	0.2656277510508252	(*.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 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.3872442791264803	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	47.95582142616697	(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 (cos.f64 x)))
accuracy	0.0078125	(sqrt.f64 (cos.f64 x))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	1.5589926672656593	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	47.95582142616697	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.0	(cos.f64 x)
accuracy	0.0078125	(sqrt.f64 (cos.f64 x))
accuracy	2.0707969268578124	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	47.95582142616697	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.0078125	(sqrt.f64 (cos.f64 x))
accuracy	0.2656277510508252	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.571659529612234	#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
accuracy	47.95582142616697	(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x)))

Samples

145.0ms	80×	2	valid
76.0ms	117×	1	valid
16.0ms	45×	1	exit
4.0ms	14×	0	valid

Compiler

Compiled 186 to 26 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-pow: 98.0ms (47.4% of total)

ival-fmod: 29.0ms (14% of total)

ival-exp: 18.0ms (8.7% of total)

adjust: 16.0ms (7.7% of total)

ival-cos: 13.0ms (6.3% of total)

ival-mult: 13.0ms (6.3% of total)

ival-pow2: 8.0ms (3.9% of total)

ival-sqrt: 4.0ms (1.9% of total)

ival-sub: 3.0ms (1.5% of total)

ival-add: 2.0ms (1% 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)

series308.0ms (3.3%)

Memory

-173.1MiB live, 64.5MiB allocated

Counts

20 → 35

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

Outputs
(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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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 x))
(+ 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 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -5/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -151/46080 (pow x 2)) 5/384)) 1/8)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
x
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(cos x)
(pow (* 1 (cos x)) 1/4)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
282.0ms	x	@	inf	((* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (pow (pow (cos x) 1/4) 2) (* (fmod (exp x) (pow (pow (cos x) 1/4) 2)) (exp (neg x))) (fmod (exp x) (pow (pow (cos x) 1/4) 2)) (cos x) (pow (cos x) 1/4))
23.0ms	x	@	-inf	((* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (pow (pow (cos x) 1/4) 2) (* (fmod (exp x) (pow (pow (cos x) 1/4) 2)) (exp (neg x))) (fmod (exp x) (pow (pow (cos x) 1/4) 2)) (cos x) (pow (cos x) 1/4))
2.0ms	x	@	0	((* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (pow (pow (cos x) 1/4) 2) (* (fmod (exp x) (pow (pow (cos x) 1/4) 2)) (exp (neg x))) (fmod (exp x) (pow (pow (cos x) 1/4) 2)) (cos x) (pow (cos x) 1/4))

Time

Variable

Point

Expression

282.0ms

inf

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

23.0ms

-inf

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

2.0ms

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

simplify220.0ms (2.4%)

Memory

26.9MiB live, 181.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	343
1	291	303
2	697	296
3	2774	289
4	7795	289
0	8249	259

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

Inputs
(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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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 x))
(+ 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 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -5/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -151/46080 (pow x 2)) 5/384)) 1/8)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
x
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(cos x)
(pow (* 1 (cos x)) 1/4)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
(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 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (.f64 x x) (-.f64 #s(literal 1 binary64) 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 (* -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 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 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))
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -5/384 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal -5/384 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -151/46080 (pow x 2)) 5/384)) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -151/46080 binary64) (.f64 x x) #s(literal -5/384 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp x)
(exp.f64 x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(pow (* 1 (cos x)) 1/4)
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* 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))))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite152.0ms (1.6%)

Memory

-11.1MiB live, 149.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	178
0	58	169
1	135	164
2	646	164
3	6071	164
0	9030	164

Stop Event

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

Counts

20 → 645

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

Outputs
(.f64 #s(literal 1 binary64) (.f64 (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fmod.f64 #s(approx (exp x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))
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(-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) x)
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))))
(.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/16 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/8 binary64))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (cos.f64 x)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 (cos.f64 x)))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cos.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 (cos.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.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))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (cos.f64 x)))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))

eval95.0ms (1%)

Memory: 14.9MiB live, 132.0MiB allocated
Compiler: Compiled 18 574 to 2 606 computations (86% saved)

prune30.0ms (0.3%)

Memory

-24.4MiB live, 52.2MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	690	17	707
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	695	20	715

Accuracy

61.1%

Counts

715 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.1%	(/.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 (cos.f64 x))) (exp.f64 x))
	7.1%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 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)))
	14.4%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	14.6%	(.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 (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)))
	14.5%	(.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)) (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)))
▶	14.5%	(.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)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.6%	(*.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 (cos.f64 x))) (exp.f64 x))
	12.2%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.2%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	23.6%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	23.6%	(.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	48.3%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	21.3%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	5.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.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)))))))
	6.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))

Compiler

Compiled 948 to 663 computations (30.1% saved)

simplify55.0ms (0.6%)

Memory

7.7MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	377
0	68	377
1	90	377
2	127	373
3	177	373
4	233	373
5	252	373
6	328	373
7	461	373
8	583	373
9	792	373
10	967	373
11	1085	373
12	1202	373
13	1217	373
14	1227	373
15	1242	373
16	1249	373
0	1249	373

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize263.0ms (2.9%)

Memory

16.2MiB live, 146.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (cos.f64 x))
accuracy	0.2578152510508252	(/.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 (cos.f64 x))) (exp.f64 x))
accuracy	1.6271816380952064	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	47.95582142616697	(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 (cos.f64 x)))
accuracy	0.0	(exp.f64 x)
accuracy	0.2656277510508252	(.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)))
accuracy	1.4299104071520674	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	47.95582142616697	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.2656277510508252	(.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)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	1.3872442791264803	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	1.4299104071520674	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	47.95582142616697	(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)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.0	(exp.f64 x)
accuracy	1.4299104071520674	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	2.0707969268578124	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy	47.95582142616697	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.2656277510508252	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.3872442791264803	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy	47.95582142616697	(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))
accuracy	50.25562096121642	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))

Samples

131.0ms	80×	2	valid
92.0ms	117×	1	valid
12.0ms	45×	1	exit
3.0ms	14×	0	valid

Compiler

Compiled 222 to 26 computations (88.3% saved)

Precisions

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

ival-mult: 62.0ms (37.1% of total)

ival-fmod: 47.0ms (28.1% of total)

ival-exp: 18.0ms (10.8% of total)

adjust: 15.0ms (9% of total)

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

ival-add: 6.0ms (3.6% of total)

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

ival-div: 3.0ms (1.8% 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)

series75.0ms (0.8%)

Memory

-31.4MiB live, 5.1MiB allocated

Counts

18 → 25

Calls

Call 1

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

Outputs
(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 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 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)))
(+ (* 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 (* x (+ 1 (* -1/2 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(sqrt (cos x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1/2))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))

Calls

3 calls:

Time

Variable

Point

Expression

72.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify137.0ms (1.5%)

Memory

28.6MiB live, 112.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	307
1	269	270
2	752	255
3	2632	246
4	6798	246
0	8170	219

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

rewrite172.0ms (1.9%)

Memory

1.9MiB live, 156.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	257
0	68	257
1	152	253
2	847	253
0	9300	253

Stop Event

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

Counts

18 → 298

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 x)
#s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 #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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (*.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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (exp.f64 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))) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
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(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))

eval44.0ms (0.5%)

Memory: -18.6MiB live, 55.6MiB allocated
Compiler: Compiled 7 708 to 900 computations (88.3% saved)

prune24.0ms (0.3%)

Memory

-6.0MiB live, 40.9MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	14	14
Picked	1	4	5
Done	0	1	1
Total	251	21	272

Accuracy

61.1%

Counts

272 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.6%	(/.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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 x))
▶	48.3%	(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	7.1%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 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)))
	14.4%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	14.6%	(.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 (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)))
	14.5%	(.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)) (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)))
✓	14.5%	(.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)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.6%	(*.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 (cos.f64 x))) (exp.f64 x))
▶	12.2%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.2%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	23.6%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	23.6%	(.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	48.3%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	21.3%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	5.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.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)))))))
▶	6.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))

Compiler

Compiled 921 to 639 computations (30.6% saved)

simplify189.0ms (2.1%)

Memory

41.7MiB live, 152.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
cost-diff	0	(fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
cost-diff	1	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
cost-diff	0	(fma.f64 (fma.f64 #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 #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 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff	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))) #s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 x))
cost-diff	0	(fma.f64 (fma.f64 #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 #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 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (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)))))
cost-diff	1	(.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 (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)))
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
cost-diff	0	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)))
cost-diff	0	(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))
cost-diff	0	(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	567
0	115	567
1	169	567
2	271	564
3	529	564
4	1370	564
5	3042	564
6	6710	564
0	8025	564

Stop Event

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

Calls

Call 1

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

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

localize490.0ms (5.3%)

Memory

-35.2MiB live, 216.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
accuracy	0.2656277510508252	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	2.0946022024691033	#s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	47.95582142616697	(fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
accuracy	0.2578152510508252	(/.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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 x))
accuracy	1.6271816380952064	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	1.9853619521253159	#s(approx (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy	47.95582142616697	(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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy	0.2656277510508252	(.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 (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)))
accuracy	1.3015527719094309	#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)))
accuracy	1.3872442791264803	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	47.95582142616697	(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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
accuracy	0.01171875	(.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy	1.4299104071520674	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.5589926672656593	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
accuracy	47.95582142616697	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy	0.2578152510508252	(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy	1.3872442791264803	#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)))
accuracy	47.95582142616697	(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))
accuracy	50.25562096121642	#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))

Samples

198.0ms	117×	1	valid
171.0ms	80×	2	valid
21.0ms	45×	1	exit
5.0ms	14×	0	valid

Compiler

Compiled 313 to 48 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-exp: 80.0ms (31.6% of total)

ival-mult: 44.0ms (17.4% of total)

ival-fmod: 42.0ms (16.6% of total)

adjust: 32.0ms (12.6% of total)

ival-add: 15.0ms (5.9% of total)

ival-cos: 10.0ms (3.9% of total)

ival-div: 6.0ms (2.4% of total)

ival-sub: 5.0ms (2% of total)

ival-sqrt: 4.0ms (1.6% of total)

const: 4.0ms (1.6% of total)

ival-pow: 4.0ms (1.6% of total)

ival-pow2: 4.0ms (1.6% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series6.0ms (0.1%)

Memory

5.3MiB live, 5.2MiB allocated

Counts

24 → 51

Calls

Call 1

Inputs
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) x)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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 (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)))
(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 (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 x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 x))
(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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(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 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#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 (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))

Outputs
(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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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 x))
(+ 1 (* x (+ 1 (* -1/2 x))))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -2 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 (* -1/2 (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 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* -1 (pow x 2)) 1)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(exp x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 2) (- (+ 1/2 (* 2 (/ 1 (pow x 5)))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(sqrt (cos x))
(cos x)
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3))) (/ 1 (pow x 2)))) x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow x 3))) 1) x))) x))))
(* -1 (/ (- (/ 1 (pow x 3)) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 3)) (/ 1 (pow x 5))) (+ 1 (/ 1 (pow x 2)))) x))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* -1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (/ (+ (* x x) 1) (- (pow x 3) -1)) (- 1 (+ (* x x) x))) (* (* x x) 1/2)) (sqrt (cos x)) (cos x) (sqrt (cos x)) (/ (+ (* x x) 1) (- (pow x 3) -1)))

2.0ms

inf

((/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* -1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (/ (+ (* x x) 1) (- (pow x 3) -1)) (- 1 (+ (* x x) x))) (* (* x x) 1/2)) (sqrt (cos x)) (cos x) (sqrt (cos x)) (/ (+ (* x x) 1) (- (pow x 3) -1)))

1.0ms

((/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* -1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (/ (+ (* x x) 1) (- (pow x 3) -1)) (- 1 (+ (* x x) x))) (* (* x x) 1/2)) (sqrt (cos x)) (cos x) (sqrt (cos x)) (/ (+ (* x x) 1) (- (pow x 3) -1)))

simplify149.0ms (1.6%)

Memory

0.4MiB live, 75.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	624
1	519	583
2	1434	535
3	4758	510
0	8557	469

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

Inputs
(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
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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 x))
(+ 1 (* x (+ 1 (* -1/2 x))))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -2 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 (* -1/2 (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 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* -1 (pow x 2)) 1)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(exp x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 2) (- (+ 1/2 (* 2 (/ 1 (pow x 5)))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(sqrt (cos x))
(cos x)
(/ 1 x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x)
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3))) (/ 1 (pow x 2)))) x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow x 3))) 1) x))) x))))
(* -1 (/ (- (/ 1 (pow x 3)) (+ 1 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 3)) (/ 1 (pow x 5))) (+ 1 (/ 1 (pow x 2)))) x))

Outputs
(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))) (-.f64 #s(literal 1 binary64) (-.f64 x (.f64 (*.f64 x x) #s(literal 1/2 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 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (.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 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 (+ (* -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 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (.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 (* -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 (- (* 1/2 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 (* -2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #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 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* -1 x))))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* x (- (* -1 (pow x 2)) 1)))))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 x x) #s(literal 1 binary64))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp x)
(exp.f64 x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 x) 1/2))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1/2))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (/ 1 x)) x))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- (+ 1/2 (* 2 (/ 1 (pow x 5)))) (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal -1 binary64) x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3))) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 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))
(* -1 (* 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))))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (- (* 2 (/ 1 (pow x 3))) 1) x))) x))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(* -1 (/ (- (/ 1 (pow x 3)) (+ 1 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x))
(* -1 (/ (- (+ (/ 1 (pow x 3)) (/ 1 (pow x 5))) (+ 1 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)

rewrite192.0ms (2.1%)

Memory

2.4MiB live, 118.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	425
0	115	425
1	352	422
2	2441	422
0	8437	422

Stop Event

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

Counts

24 → 258

Calls

Call 1

Inputs
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) x)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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 (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)))
(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 (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 x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (exp.f64 x))
(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)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(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 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) (fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#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 (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))

Outputs
(.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)))
(.f64 (exp.f64 (neg.f64 x)) (pow.f64 (pow.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))
(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #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 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
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#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#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 (sqrt (cos x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
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(*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
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eval48.0ms (0.5%)

Memory: 4.7MiB live, 42.2MiB allocated
Compiler: Compiled 11 499 to 1 352 computations (88.2% saved)

prune59.0ms (0.6%)

Memory

-22.4MiB live, 28.0MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	291	9	300
Fresh	2	9	11
Picked	2	3	5
Done	0	5	5
Total	295	26	321

Accuracy

61.5%

Counts

321 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.3%	(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	21.3%	(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	7.1%	(*.f64 (fmod.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 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)))
✓	14.6%	(.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 (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)))
	14.5%	(.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)) (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)))
✓	14.5%	(.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)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.6%	(*.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 (cos.f64 x))) (exp.f64 x))
	9.4%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 #s(approx (/ (+ ( x x) 1) (- (pow x 3) -1)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	23.6%	(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	23.6%	(.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	14.6%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 x (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (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)))
	11.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (/ (+ (* x x) 1) (- (pow x 3) -1)) (- 1 (+ (* x x) x))) (* (* x x) 1/2)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) x)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (/ (+ (* x x) 1) (- (pow x 3) -1)) (- 1 (+ (* x x) x))) (* (* x x) 1/2)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	48.3%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	12.8%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	21.3%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	43.8%	(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
✓	5.7%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
	6.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
	6.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
	6.0%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.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)))))))
✓	6.1%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
	3.6%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))

Compiler

Compiled 1 649 to 688 computations (58.3% saved)

regimes20.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

10.0ms	x
8.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
60.7%	3	`x`
59.4%	2	`(*.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)

regimes15.0ms (0.2%)

Memory

-19.2MiB live, 17.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

Calls

2 calls:

10.0ms	x
4.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
23.6%	1	`x`
23.6%	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)

regimes9.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
(.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 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
23.6%	1	`x`
23.6%	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

7.8MiB live, 7.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
6.1%	1	`x`
6.1%	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)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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
5.7%	1	`x`
5.7%	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)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.211734222085159e-6	0.9999999999999999

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify73.0ms (0.8%)

Memory

-17.9MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	141
1	62	141
2	82	139
3	114	139
4	170	139
5	211	139
6	384	139
7	2998	139
8	6406	139
9	7491	139

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 5902958103587057/590295810358705651712 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #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))) (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 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (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 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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 5902958103587057/590295810358705651712 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #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))) (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 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (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 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))

soundness762.0ms (8.3%)

Memory

-5.0MiB live, 397.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	343
1	291	303
2	697	296
3	2774	289
4	7795	289
0	8249	259
0	76	218
1	181	197
2	419	191
3	1054	181
4	1893	181
5	3808	181
6	5146	181
7	6480	181
8	7960	181
0	8327	159

Stop Event

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

Compiler

Compiled 222 to 115 computations (48.2% saved)

preprocess33.0ms (0.4%)

Memory: 13.7MiB live, 52.3MiB allocated
Compiler: Compiled 302 to 112 computations (62.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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%)

analyze203.0ms (2.2%)

sample4.5s (48.7%)

explain196.0ms (2.1%)

preprocess18.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize77.0ms (0.8%)

series3.0ms (0%)

simplify152.0ms (1.7%)

rewrite99.0ms (1.1%)

eval9.0ms (0.1%)

prune6.0ms (0.1%)

simplify67.0ms (0.7%)

localize268.0ms (2.9%)

series308.0ms (3.3%)

simplify220.0ms (2.4%)

rewrite152.0ms (1.6%)

eval95.0ms (1%)

prune30.0ms (0.3%)

simplify55.0ms (0.6%)

localize263.0ms (2.9%)

series75.0ms (0.8%)

simplify137.0ms (1.5%)

rewrite172.0ms (1.9%)

eval44.0ms (0.5%)

prune24.0ms (0.3%)

simplify189.0ms (2.1%)

localize490.0ms (5.3%)

series6.0ms (0.1%)

simplify149.0ms (1.6%)

rewrite192.0ms (2.1%)

eval48.0ms (0.5%)

prune59.0ms (0.6%)

regimes20.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

simplify73.0ms (0.8%)

soundness762.0ms (8.3%)

preprocess33.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	124	21
4	170	21
5	192	21
6	209	21
7	228	21
8	235	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