Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze304.0ms (2.9%)

Memory

-15.1MiB live, 301.0MiB 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)

sample4.7s (44.9%)

Memory

81.9MiB live, 4 258.2MiB allocated

Samples

1.5s	1 583×	5	exit
1.2s	2 575×	2	valid
875.0ms	3 658×	1	valid
406.0ms	3 331×	0	invalid
228.0ms	2 023×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-cos: 1.3s (34.7% of total)

ival-fmod: 880.0ms (24% of total)

ival-exp: 691.0ms (18.9% of total)

adjust: 270.0ms (7.4% of total)

ival-sqrt: 263.0ms (7.2% of total)

ival-mult: 181.0ms (4.9% of total)

ival-neg: 91.0ms (2.5% of total)

ival-true: 10.0ms (0.3% of total)

ival-assert: 5.0ms (0.1% of total)

Bogosity

explain194.0ms (1.8%)

Memory

15.3MiB live, 213.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
203	-	203	(4.995575741870788e-300)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
2	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
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**	2	0
↳	`(exp.f64 x)`	underflow	2
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	2
↳	`(exp.f64 (neg.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	249
-	0	5

Precision

1.0

Recall

0.00796812749003984

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	249
-	0	1	4

Precision?

0.6666666666666666

Recall?

0.00796812749003984

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

61.0ms	234×	1	valid
61.0ms	154×	2	valid
12.0ms	92×	1	exit
4.0ms	32×	0	valid

Compiler

Compiled 101 to 36 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-exp: 32.0ms (28.7% of total)

ival-fmod: 28.0ms (25.1% of total)

ival-cos: 18.0ms (16.2% of total)

adjust: 15.0ms (13.5% of total)

ival-sqrt: 8.0ms (7.2% of total)

ival-mult: 7.0ms (6.3% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

preprocess140.0ms (1.3%)

Memory

-13.2MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	47	21
2	127	21
3	498	21
4	2506	21
0	8	10
0	15	10
1	35	10
2	77	9
3	255	9
4	1141	9
0	10212	9

Stop Event

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

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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify102.0ms (1%)

Memory

-8.6MiB live, 85.8MiB 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	35	29
2	77	28
3	255	28
4	1141	28
0	10212	28

Stop Event

1×	iter limit
1×	node limit
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)

localize78.0ms (0.7%)

Memory

15.8MiB live, 91.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.5039117521016504	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

34.0ms	77×	2	valid
26.0ms	117×	1	valid
6.0ms	46×	1	exit
2.0ms	16×	0	valid

Compiler

Compiled 60 to 18 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-exp: 17.0ms (31.7% of total)

ival-fmod: 15.0ms (27.9% of total)

ival-cos: 9.0ms (16.8% of total)

adjust: 5.0ms (9.3% of total)

ival-sqrt: 4.0ms (7.4% of total)

ival-mult: 3.0ms (5.6% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series3.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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))

simplify229.0ms (2.2%)

Memory

-14.2MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	218
1	233	197
2	756	191
3	3123	181
4	6688	181
0	8076	160

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

rewrite194.0ms (1.8%)

Memory

32.5MiB live, 189.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	15	23
1	37	22
2	184	22
3	1655	22
0	8844	22

Stop Event

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

Counts

5 → 227

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

eval57.0ms (0.5%)

Memory: -37.1MiB live, 55.1MiB allocated
Compiler: Compiled 6 326 to 1 098 computations (82.6% saved)

prune14.0ms (0.1%)

Memory

-7.2MiB live, 30.5MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	233	12	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	233	13	246

Accuracy

24.3%

Counts

246 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	3.0%	(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
	6.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	6.2%	(*.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)))
✓	6.2%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	5.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
▶	6.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	6.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	6.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.9%	(.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)))
▶	21.6%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	4.8%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
	5.4%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))

Compiler

Compiled 558 to 346 computations (38% saved)

simplify168.0ms (1.6%)

Memory

16.5MiB live, 130.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	1	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
cost-diff	0	(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	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
cost-diff	1	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
cost-diff	0	#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)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	1	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
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	(sqrt.f64 (cos.f64 x))
cost-diff	0	#s(approx (exp x) #s(literal 1 binary64))
cost-diff	0	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff	1	(*.f64 (fmod.f64 #s(approx (exp 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	43	390
0	76	390
1	132	390
2	395	385
3	1828	385
4	4664	385
0	9032	385

Stop Event

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

Calls

Call 1

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

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

localize500.0ms (4.7%)

Memory

-170.3MiB live, 308.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.5039117521016504	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	0.792234809599899	#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.006191259768442017	(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	0.5039117521016504	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	0.8392111788038515	#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	47.997732754410315	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.5039117521016504	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	0.9134824521739449	#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)))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	1.7432289954466151	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.5039117521016504	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.7252523338894306	#s(approx (exp x) #s(literal 1 binary64))
accuracy	47.997732754410315	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))

Samples

357.0ms	77×	2	valid
84.0ms	117×	1	valid
16.0ms	46×	1	exit
4.0ms	16×	0	valid

Compiler

Compiled 629 to 74 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 39.0ms (27.6% of total)

ival-exp: 23.0ms (16.3% of total)

adjust: 20.0ms (14.2% of total)

const: 16.0ms (11.3% of total)

ival-fmod: 14.0ms (9.9% of total)

ival-add: 13.0ms (9.2% of total)

ival-cos: 9.0ms (6.4% of total)

ival-sqrt: 4.0ms (2.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

22 → 29

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* (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) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos x) (+ (* -1/720 (* x x)) 1/24))
1.0ms	x	@	-inf	((* (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) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos x) (+ (* -1/720 (* x x)) 1/24))
1.0ms	x	@	0	((* (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) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos x) (+ (* -1/720 (* x x)) 1/24))

Time

Variable

Point

Expression

2.0ms

inf

((* (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) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos x) (+ (* -1/720 (* x x)) 1/24))

1.0ms

-inf

((* (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) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos x) (+ (* -1/720 (* x x)) 1/24))

1.0ms

((* (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) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos x) (+ (* -1/720 (* x x)) 1/24))

simplify159.0ms (1.5%)

Memory

7.7MiB live, 242.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	305
1	298	284
2	947	269
3	3795	259
0	8157	234

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

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)))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(cos x)
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (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 (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 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) 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))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 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)
(* -1/96 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1/720 (pow x 2))
(.f64 #s(literal -1/720 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (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 (1.6%)

Memory

-11.1MiB live, 156.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	295
0	76	295
1	223	290
2	1544	290
0	8179	290

Stop Event

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

Counts

22 → 269

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (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)))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (-.f64 (.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))) (.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (-.f64 (.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)))) (.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (fabs.f64 (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 (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))
(fabs.f64 (sqrt.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 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)))
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(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/24 binary64) (.f64 (neg.f64 (.f64 #s(literal -1/720 binary64) x)) x))
(-.f64 #s(literal 1/24 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal -1/720 binary64)))
(-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -1/17280 binary64))))) (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal -1/17280 binary64))))) (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal -1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))

eval74.0ms (0.7%)

Memory: -13.4MiB live, 70.2MiB allocated
Compiler: Compiled 14 725 to 1 763 computations (88% saved)

prune17.0ms (0.2%)

Memory

30.8MiB live, 30.8MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	377	7	384
Fresh	2	5	7
Picked	1	4	5
Done	0	1	1
Total	380	17	397

Accuracy

24.9%

Counts

397 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
	3.0%	(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
	6.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	6.2%	(*.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)))
	6.0%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.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(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	6.2%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	5.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	6.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	2.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) #s(approx (+ ( (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
	6.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	6.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.9%	(.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)))
▶	1.6%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
▶	2.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (neg.f64 x)))
✓	21.6%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	21.6%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	4.8%	#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)))))

Compiler

Compiled 735 to 471 computations (35.9% saved)

simplify97.0ms (0.9%)

Memory

-6.0MiB live, 69.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	484
0	73	468
1	125	468
2	295	464
3	1065	464
4	3980	464
0	8800	464

Stop Event

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

Calls

Call 1

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

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

localize252.0ms (2.4%)

Memory

-7.1MiB live, 193.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9134824521739449	#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
accuracy	36.54193294271233	(.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
accuracy	50.499955804512574	#s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.5039117521016504	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	0.9134824521739449	#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)))))
accuracy	50.48639161616872	#s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)))
accuracy	0.00390625	(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.4921930021016504	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
accuracy	0.9134824521739449	#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	0.0	(exp.f64 x)
accuracy	1.0477716000735782	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.7432289954466151	#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	47.997732754410315	(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	0.5039117521016504	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	1.0477716000735782	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.7252523338894306	#s(approx (exp x) #s(literal 1 binary64))
accuracy	47.997732754410315	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))

Samples

94.0ms	117×	1	valid
66.0ms	77×	2	valid
16.0ms	46×	1	exit
5.0ms	16×	0	valid

Compiler

Compiled 728 to 82 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 38.0ms (26.5% of total)

ival-fmod: 22.0ms (15.3% of total)

adjust: 18.0ms (12.5% of total)

ival-exp: 17.0ms (11.8% of total)

ival-pow: 14.0ms (9.8% of total)

ival-cos: 9.0ms (6.3% of total)

ival-add: 8.0ms (5.6% of total)

ival-div: 6.0ms (4.2% of total)

ival-sqrt: 4.0ms (2.8% of total)

const: 4.0ms (2.8% of total)

ival-sub: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

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

series6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

20 → 23

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify189.0ms (1.8%)

Memory

-9.3MiB live, 153.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	302
1	300	265
2	1093	249
3	4642	240
0	8164	221

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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

rewrite171.0ms (1.6%)

Memory

29.2MiB live, 259.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	383
0	73	367
1	224	363
2	1227	363
0	8411	358

Stop Event

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

Counts

20 → 242

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (fmod.f64 #s(approx (exp 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 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))))) (-.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x))) (.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))) (-.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp 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(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp 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(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (-.f64 (.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))) (.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (-.f64 (.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))) (.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp 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))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #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 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #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 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))
(-.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))))
(-.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))))
(+.f64 (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))
(.f64 (fmod.f64 #s(approx (exp 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(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp 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) #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 (* (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 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) (sinh.f64 x))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x))
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(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64))))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (*.f64 x x)) #s(literal 1/9216 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (*.f64 x x)) #s(literal 1/9216 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (*.f64 x x)) #s(literal 1/9216 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)) (*.f64 (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (.f64 x x)) #s(literal 1/9216 binary64)) (.f64 (-.f64 #s(literal -1/884736 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (.f64 x x)) #s(literal 1/9216 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64))))))
(fma.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/96 binary64) (.f64 x x)) (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/96 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))

eval51.0ms (0.5%)

Memory: -5.3MiB live, 111.3MiB allocated
Compiler: Compiled 18 265 to 1 428 computations (92.2% saved)

prune32.0ms (0.3%)

Memory

-5.4MiB live, 72.5MiB allocated

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	396	16	412
Fresh	1	6	7
Picked	1	4	5
Done	1	4	5
Total	399	30	429

Accuracy

31.0%

Counts

429 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
	6.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)) (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))))) (exp.f64 x))
	6.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	2.0%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
▶	6.2%	(*.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)))
	6.0%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.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(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
✓	6.2%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	5.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	6.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
	2.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) #s(approx (+ ( (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
▶	6.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	6.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.9%	(.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)))
	2.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64))))))) (exp.f64 (neg.f64 x)))
	1.5%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))))))) (exp.f64 (neg.f64 x)))
	3.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)))))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (*.f64 x x)) #s(literal 1/9216 binary64)))))) (exp.f64 (neg.f64 x)))
	3.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))))))) (exp.f64 (neg.f64 x)))
▶	2.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (neg.f64 x)))
✓	2.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (neg.f64 x)))
	3.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (.f64 x x)) (.f64 x x))))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (pow.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (.f64 x x)) #s(literal 1/9216 binary64)) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x)))
	2.9%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) #s(approx (* (- -1/96 (/ 1/4 (* x x))) (pow x 4)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))) (exp.f64 (neg.f64 x)))
	10.0%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	13.4%	(.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)))
▶	22.9%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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)))
✓	21.6%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.0%	(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
	5.3%	#s(approx (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
✓	4.8%	#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)))))

Compiler

Compiled 1 707 to 1 136 computations (33.5% saved)

simplify212.0ms (2%)

Memory

4.0MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	483
0	89	483
1	150	477
2	420	469
3	1732	469
4	5841	465
0	8219	461

Stop Event

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

Calls

Call 1

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

localize559.0ms (5.3%)

Memory

-20.0MiB live, 222.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.01953125	(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.5039117521016504	(*.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	47.997732754410315	(fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.9134824521739449	#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	36.54193294271233	(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64))))))
accuracy	50.499955804512574	#s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.01953125	(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
accuracy	0.5039117521016504	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	0.8321223087287768	#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	47.997732754410315	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.5039117521016504	(.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	1.0477716000735782	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.1634652124986828	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	47.997732754410315	(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	0.5039117521016504	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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	1.0477716000735782	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.3183488513137533	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	47.997732754410315	(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))

Samples

271.0ms	117×	1	valid
185.0ms	77×	2	valid
22.0ms	46×	1	exit
7.0ms	16×	0	valid

Compiler

Compiled 766 to 101 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 383.0ms

ival-pow: 133.0ms (34.8% of total)

ival-add: 79.0ms (20.6% of total)

adjust: 67.0ms (17.5% of total)

ival-mult: 28.0ms (7.3% of total)

ival-fmod: 26.0ms (6.8% of total)

ival-exp: 18.0ms (4.7% of total)

ival-cos: 10.0ms (2.6% of total)

const: 10.0ms (2.6% of total)

ival-pow2: 6.0ms (1.6% of total)

ival-sqrt: 4.0ms (1% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series8.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

23 → 33

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify137.0ms (1.3%)

Memory

17.5MiB live, 94.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	315
1	320	292
2	1064	281
3	5230	278
0	8086	252

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

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

rewrite193.0ms (1.8%)

Memory

-13.5MiB live, 106.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	356
0	89	347
1	289	342
2	2013	342
0	8324	334

Stop Event

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

Counts

23 → 265

Calls

Call 1

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

Outputs
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
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(fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(+.f64 (.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (log.f64 (cos.f64 x))) (sinh.f64 (log.f64 (cos.f64 x))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))

eval50.0ms (0.5%)

Memory: 4.1MiB live, 41.3MiB allocated
Compiler: Compiled 10 615 to 1 524 computations (85.6% saved)

prune41.0ms (0.4%)

Memory

14.5MiB live, 53.8MiB allocated

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	325	7	332
Fresh	9	8	17
Picked	1	4	5
Done	1	7	8
Total	336	26	362

Accuracy

65.8%

Counts

362 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
	6.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)) (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))))) (exp.f64 x))
	13.4%	(/.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))
	22.9%	(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
	6.3%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
✓	6.2%	(*.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)))
	6.0%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.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(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
	6.2%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal 3/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))) (exp.f64 (neg.f64 x)))
✓	6.2%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	5.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	6.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓	6.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	6.0%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.9%	(.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)))
	3.1%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1/9216 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal 1/96 binary64)))))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (*.f64 x x)) #s(literal 1/9216 binary64)))))) (exp.f64 (neg.f64 x)))
	3.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/96 binary64)) (.f64 x x)) (.f64 x x))))) (exp.f64 (neg.f64 x)))
	2.9%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) #s(approx (* (- -1/96 (/ 1/4 (* x x))) (pow x 4)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))) (exp.f64 (neg.f64 x)))
	10.0%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	13.4%	(.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)))
✓	22.9%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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)))
	47.5%	(.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))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	12.3%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.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)))) (exp.f64 (neg.f64 x)))
✓	21.6%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.0%	(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #s(literal -1 binary64)))
✓	4.8%	#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)))))

Compiler

Compiled 2 001 to 769 computations (61.6% saved)

regimes26.0ms (0.2%)

Memory

6.4MiB live, 42.5MiB allocated

Counts

43 → 3

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)))))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (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)))) #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) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) #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))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (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))) (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)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) #s(approx (* (- -1/96 (/ 1/4 (* x x))) (pow x 4)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) #s(approx (+ ( (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (.f64 x x)) (.f64 x x))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/96 binary64)) (.f64 x x)) (.f64 x x))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)) (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.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(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64))))))) (exp.f64 (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #s(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 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1/9216 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal 1/96 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (*.f64 x x)) #s(literal 1/9216 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal 3/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (pow.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (.f64 x x)) #s(literal 1/9216 binary64)) #s(literal -1 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64))))))))))) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))

Outputs

(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (*.f64 x x)) #s(literal 1/9216 binary64)))))) (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))) #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) #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:

12.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
11.0ms	x

Results

Accuracy	Segments	Branch
62.5%	3	`x`
57.8%	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)

regimes25.0ms (0.2%)

Memory

-37.3MiB live, 46.7MiB allocated

Counts

38 → 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)))))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (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)))) #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) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) #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))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (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))) (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)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) #s(approx (* (- -1/96 (/ 1/4 (* x x))) (pow x 4)) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) #s(approx (+ ( (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (.f64 x x)) (.f64 x x))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal -1/96 binary64)) (.f64 x x)) (.f64 x x))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)) (.f64 (neg.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/96 binary64))))))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.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(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/96 binary64))))))) (exp.f64 (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #s(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 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1/9216 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64) #s(literal 1/96 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/96 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9216 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 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))) #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 #s(literal 1 binary64) 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)))

Calls

2 calls:

13.0ms	x
8.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
57.8%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
59.2%	3	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

5 → 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)))))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (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)))) #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 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
22.9%	1	`x`
22.9%	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

7.5MiB live, 7.5MiB 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)))))

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

(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) 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)))

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
22.9%	1	`x`
22.9%	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

6.6MiB live, 6.6MiB allocated

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)))))

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

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

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
21.6%	1	`x`
21.6%	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)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 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)))))

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
4.8%	1	`x`
4.8%	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)

bsearch48.0ms (0.5%)

Memory

-0.4MiB live, 76.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.09194295281029166	1.6423989924575256e+30
31.0ms	-4.411376350602905e-75	-2.777020250562807e-78

Samples

25.0ms	128×	1	valid
10.0ms	101×	0	invalid

Compiler

Compiled 677 to 516 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-fmod: 7.0ms (25.8% of total)

ival-cos: 7.0ms (25.8% of total)

ival-exp: 6.0ms (22.1% of total)

adjust: 2.0ms (7.4% of total)

ival-mult: 2.0ms (7.4% of total)

ival-sqrt: 2.0ms (7.4% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08977122844819478	0.9999999999999999

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify59.0ms (0.6%)

Memory

-27.1MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	262
1	124	262
2	256	261
3	926	261
4	3555	261

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2294517323743165/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (.f64 x x)) #s(literal 1/9216 binary64)))))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 3602879701896397/36028797018963968 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))) #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) #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)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/36028797018963968 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))) #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 #s(literal 1 binary64) 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 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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) #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))) (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 x #s(literal -2294517323743165/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (+ (* -1/96 (* x x)) -1/4) (* x x)) 1) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/884736 binary64) (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/64 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/384 binary64)) (.f64 x x)) #s(literal 1/9216 binary64)))))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 3602879701896397/36028797018963968 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))) #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) #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)))))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/36028797018963968 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))) #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 #s(literal 1 binary64) 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 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) 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) #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))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))

soundness1.2s (11.2%)

Memory

22.8MiB live, 739.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	305
1	298	284
2	947	269
3	3795	259
0	8157	234
0	101	315
1	320	292
2	1064	281
3	5230	278
0	8086	252
0	52	356
0	89	347
1	289	342
2	2013	342
0	8324	334
0	92	302
1	300	265
2	1093	249
3	4642	240
0	8164	221
0	47	383
0	73	367
1	224	363
2	1227	363
0	8411	358
0	76	218
1	233	197
2	756	191
3	3123	181
4	6688	181
0	8076	160

Stop Event

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

Compiler

Compiled 593 to 323 computations (45.5% saved)

preprocess65.0ms (0.6%)

Memory: -4.9MiB live, 71.5MiB allocated
Compiler: Compiled 544 to 182 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze304.0ms (2.9%)

sample4.7s (44.9%)

explain194.0ms (1.8%)

preprocess140.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify102.0ms (1%)

localize78.0ms (0.7%)

series3.0ms (0%)

simplify229.0ms (2.2%)

rewrite194.0ms (1.8%)

eval57.0ms (0.5%)

prune14.0ms (0.1%)

simplify168.0ms (1.6%)

localize500.0ms (4.7%)

series5.0ms (0.1%)

simplify159.0ms (1.5%)

rewrite172.0ms (1.6%)

eval74.0ms (0.7%)

prune17.0ms (0.2%)

simplify97.0ms (0.9%)

localize252.0ms (2.4%)

series6.0ms (0.1%)

simplify189.0ms (1.8%)

rewrite171.0ms (1.6%)

eval51.0ms (0.5%)

prune32.0ms (0.3%)

simplify212.0ms (2%)

localize559.0ms (5.3%)

series8.0ms (0.1%)

simplify137.0ms (1.3%)

rewrite193.0ms (1.8%)

eval50.0ms (0.5%)

prune41.0ms (0.4%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch48.0ms (0.5%)

bsearch0.0ms (0%)

simplify59.0ms (0.6%)

soundness1.2s (11.2%)

preprocess65.0ms (0.6%)

end0.0ms (0%)

Profiling