Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze261.0ms (2.2%)

Memory

13.7MiB live, 337.1MiB allocated; 96ms collecting garbage

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 (40%)

Memory

80.2MiB live, 4 102.3MiB allocated; 682ms collecting garbage

Samples

1.4s	1 560×	5	exit
1.2s	2 701×	2	valid
776.0ms	3 588×	1	valid
397.0ms	3 217×	0	invalid
268.0ms	1 967×	0	valid

Precisions

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

ival-cos: 1.2s (34.3% of total)

ival-fmod: 881.0ms (24.3% of total)

ival-exp: 671.0ms (18.5% of total)

adjust: 330.0ms (9.1% of total)

ival-sqrt: 251.0ms (6.9% of total)

ival-mult: 150.0ms (4.1% of total)

ival-neg: 79.0ms (2.2% of total)

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

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

Bogosity

explain1.2s (9.7%)

Memory

-82.8MiB live, 1 011.6MiB allocated; 968ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
189	-	189	(-4.4758283164284585e-275)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
3	-	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**	3	0
↳	`(exp.f64 x)`	underflow	3
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	3
↳	`(exp.f64 (neg.f64 x))`	overflow	3

Confusion

	Predicted +	Predicted -
+	3	247
-	0	6

Precision

1.0

Recall

0.012

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	247
-	0	0	6

Precision?

1.0

Recall?

0.012

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

937.0ms	116×	5	exit
100.0ms	168×	2	valid
48.0ms	206×	1	valid
3.0ms	22×	0	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 846.0ms (80.3% of total)

ival-exp: 73.0ms (6.9% of total)

ival-mult: 45.0ms (4.3% of total)

ival-fmod: 43.0ms (4.1% of total)

adjust: 22.0ms (2.1% of total)

ival-sqrt: 19.0ms (1.8% of total)

ival-neg: 4.0ms (0.4% of total)

ival-true: 1.0ms (0.1% of total)

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

preprocess149.0ms (1.3%)

Memory

7.2MiB live, 190.5MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	39	21
2	86	21
3	287	21
4	1742	21
0	8	10
0	15	10
1	31	10
2	60	9
3	161	9
4	724	9
5	6573	9
0	8339	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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify133.0ms (1.1%)

Memory

2.0MiB live, 143.2MiB allocated; 16ms collecting garbage

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	31	29
2	60	28
3	161	28
4	724	28
5	6573	28
0	8339	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)

localize431.0ms (3.6%)

Memory

30.1MiB live, 357.6MiB allocated; 114ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.7343832531524757	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

352.0ms	58×	5	exit
35.0ms	84×	2	valid
31.0ms	103×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-cos: 307.0ms (77.4% of total)

ival-fmod: 31.0ms (7.8% of total)

ival-exp: 24.0ms (6% of total)

adjust: 18.0ms (4.5% of total)

ival-sqrt: 10.0ms (2.5% of total)

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

ival-neg: 2.0ms (0.5% of total)

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

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

series3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

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))

simplify128.0ms (1.1%)

Memory

13.9MiB live, 201.2MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	218
1	225	197
2	665	191
3	2324	181
4	5205	181
0	8264	165

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite154.0ms (1.3%)

Memory

15.2MiB live, 196.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	15	23
1	33	23
2	140	22
3	1043	22
0	8469	22

Stop Event

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

Counts

5 → 163

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

eval28.0ms (0.2%)

Memory: -29.3MiB live, 60.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 4 654 to 803 computations (82.7% saved)

prune8.0ms (0.1%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	8	182

Accuracy

28.9%

Counts

182 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	5.8%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	5.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)))
	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.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)))
▶	5.2%	(.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)))
▶	26.5%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	4.3%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))

Compiler

Compiled 270 to 196 computations (27.4% saved)

simplify168.0ms (1.4%)

Memory

-9.4MiB live, 190.4MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff	1	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff	0	(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	42	333
0	71	333
1	113	333
2	271	328
3	661	328
4	1965	328
0	8512	328

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

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

localize614.0ms (5.2%)

Memory

6.7MiB live, 769.5MiB allocated; 92ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	0.7343832531524757	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	1.2121229254372619	#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy	0.125	(.f64 #s(literal -1/96 binary64) (.f64 x x))
accuracy	0.7343832531524757	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.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	1.2990252985304023	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.0	(exp.f64 x)
accuracy	0.7343832531524757	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	1.3332619996371022	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	45.0355076589187	(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	0.0	(cos.f64 x)
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	2.0739127042518772	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.7343832531524757	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	2.065673607350913	#s(approx (exp x) #s(literal 1 binary64))
accuracy	45.0355076589187	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))

Samples

439.0ms	58×	5	exit
78.0ms	84×	2	valid
52.0ms	103×	1	valid
3.0ms	11×	0	valid

Compiler

Compiled 213 to 27 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 496.0ms

ival-cos: 296.0ms (59.6% of total)

const: 51.0ms (10.3% of total)

adjust: 42.0ms (8.5% of total)

ival-exp: 32.0ms (6.4% of total)

ival-mult: 22.0ms (4.4% of total)

ival-fmod: 20.0ms (4% of total)

ival-sqrt: 13.0ms (2.6% of total)

ival-sub: 11.0ms (2.2% of total)

ival-add: 7.0ms (1.4% of total)

ival-neg: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

20 → 21

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

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)) (cos x) (* 1/24 (* x x)))

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)) (cos x) (* 1/24 (* x x)))

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)) (cos x) (* 1/24 (* x x)))

simplify147.0ms (1.2%)

Memory

8.2MiB live, 149.6MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	228
1	225	207
2	665	201
3	2313	191
4	5216	191
0	8304	175

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

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)))
(* -1/96 (pow x 2))
(* 1/24 (pow x 2))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))

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

rewrite239.0ms (2%)

Memory

-22.3MiB live, 315.8MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	235
0	71	235
1	177	235
2	1022	230
0	9252	230

Stop Event

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

Counts

20 → 169

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

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 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (.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 (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 (.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 (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 (+.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 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fma.f64 (sinh.f64 (neg.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)))))
(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))) (sinh.f64 (neg.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.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 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 (neg.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 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (sinh.f64 (neg.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 (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))) (sinh.f64 (neg.f64 x))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.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 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.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))
(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))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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)) (neg.f64 (pow.f64 (sinh.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 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.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 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
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(pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) #s(literal 1 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 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 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.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)))
(.f64 (.f64 #s(literal -1/96 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/96 binary64) x) x)
(.f64 #s(literal -1/96 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/96 binary64))
(.f64 (neg.f64 x) (.f64 #s(literal -1/96 binary64) (neg.f64 x)))
(.f64 x (.f64 #s(literal -1/96 binary64) x))
(neg.f64 (.f64 #s(literal 1/96 binary64) (.f64 x x)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) x)) x)
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 (neg.f64 x) (.f64 #s(literal 1/24 binary64) (neg.f64 x)))
(.f64 x (fabs.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/24 binary64) x)))
(.f64 x (.f64 #s(literal 1/24 binary64) x))
(neg.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(fabs.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(fabs.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)))

eval36.0ms (0.3%)

Memory: 5.8MiB live, 95.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 9 381 to 886 computations (90.6% saved)

prune92.0ms (0.8%)

Memory

-12.7MiB live, 61.5MiB allocated; 114ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	269	4	273
Fresh	0	2	2
Picked	2	3	5
Done	0	1	1
Total	271	10	281

Accuracy

28.9%

Counts

281 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	5.3%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
▶	5.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
✓	5.8%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	5.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)))
▶	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.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)))
✓	5.2%	(.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)))
▶	26.5%	(.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)))
▶	4.3%	#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 311 to 215 computations (30.9% saved)

simplify132.0ms (1.1%)

Memory

13.9MiB live, 205.1MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) 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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) 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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff	0	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.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 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #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 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #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 #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 #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 #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	44	423
0	73	423
1	119	423
2	264	420
3	635	420
4	1707	420
0	8548	420

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

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

localize738.0ms (6.2%)

Memory

-10.4MiB live, 847.7MiB allocated; 107ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
accuracy	0.7343832531524757	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	1.272140864350841	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.125	(.f64 #s(literal -1/96 binary64) (.f64 x x))
accuracy	0.7327620129209177	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
accuracy	1.2990252985304023	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.0	(exp.f64 x)
accuracy	0.7327620129209177	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
accuracy	1.3332619996371022	#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.0	(exp.f64 x)
accuracy	1.3332619996371022	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	2.0739127042518772	#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	45.0355076589187	(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	0.7343832531524757	(.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	1.3332619996371022	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	2.065673607350913	#s(approx (exp x) #s(literal 1 binary64))
accuracy	45.0355076589187	(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

464.0ms	58×	5	exit
158.0ms	82×	2	valid
66.0ms	103×	1	valid
3.0ms	11×	0	valid
3.0ms	2×	3	valid

Compiler

Compiled 258 to 33 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 619.0ms

ival-cos: 318.0ms (51.4% of total)

ival-mult: 109.0ms (17.6% of total)

adjust: 63.0ms (10.2% of total)

const: 46.0ms (7.4% of total)

ival-exp: 25.0ms (4% of total)

ival-fmod: 21.0ms (3.4% of total)

ival-sqrt: 10.0ms (1.6% of total)

ival-add: 10.0ms (1.6% of total)

ival-sub: 9.0ms (1.5% of total)

ival-div: 5.0ms (0.8% of total)

ival-neg: 2.0ms (0.3% of total)

exact: 1.0ms (0.2% of total)

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

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

series6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

18 → 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 #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 #s(literal -1/4 binary64) (*.f64 x 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 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) 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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal -1/96 binary64) (.f64 x x))
(.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)

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

Calls

3 calls:

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

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 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)) (* -1/96 (* x x)) (* (- (* -19/5760 (* x x)) 1/96) x))

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 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)) (* -1/96 (* x x)) (* (- (* -19/5760 (* x x)) 1/96) x))

simplify156.0ms (1.3%)

Memory

11.3MiB live, 192.3MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	283
1	288	246
2	1015	235
3	4561	228
0	8701	211

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

rewrite249.0ms (2.1%)

Memory

-24.4MiB live, 208.7MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	273
0	73	273
1	212	273
2	1182	273
0	8259	273

Stop Event

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

Counts

18 → 105

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

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

eval54.0ms (0.5%)

Memory: 9.7MiB live, 71.6MiB allocated; 22ms collecting garbage
Compiler: Compiled 8 612 to 671 computations (92.2% saved)

prune43.0ms (0.4%)

Memory

-20.3MiB live, 25.7MiB allocated; 5ms collecting garbage

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	227	5	232
Fresh	0	1	1
Picked	1	4	5
Done	0	4	4
Total	228	14	242

Accuracy

28.9%

Counts

242 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	5.3%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
✓	5.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
▶	5.3%	(.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	5.8%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	5.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)))
▶	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) x)) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.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)))
✓	5.2%	(.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)))
▶	10.7%	(.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)))
▶	14.4%	(.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)))
▶	27.7%	(.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)))
✓	26.5%	(.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)))
✓	4.3%	#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 460 to 316 computations (31.3% saved)

simplify127.0ms (1.1%)

Memory

-3.7MiB live, 231.6MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	1	(.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
cost-diff	1	(.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff	3	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
cost-diff	0	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(approx ( (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) 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 (-.f64 (.f64 #s(approx ( (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) 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 (-.f64 (.f64 #s(approx (* (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) 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 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #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 (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)))
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: 3 (0.0ms)

Iter	Nodes	Cost
0	57	669
0	100	663
1	159	659
2	383	654
3	1074	641
4	3572	641
0	9052	641

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

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

localize334.0ms (2.8%)

Memory

8.3MiB live, 536.9MiB allocated; 62ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.234375	(.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
accuracy	0.7343832531524757	(.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	1.113686533147442	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	45.0355076589187	(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.234375	(.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) x)
accuracy	0.7343832531524757	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) x)) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy	1.113686533147442	#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(approx ( (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) x)) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	45.0355076589187	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(approx ( (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) x)) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.7343832531524757	(.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)))
accuracy	1.1521897861488013	#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	1.1557257858412484	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	45.0355076589187	(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))))
accuracy	0.7343832531524757	(.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	1.1557257858412484	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.2816911300402631	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	45.0355076589187	(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	0.7343832531524757	(.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	1.1557257858412484	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.4715255678007357	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	45.0355076589187	(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

115.0ms	82×	2	valid
104.0ms	103×	1	valid
27.0ms	57×	0	exit
12.0ms	2×	5	exit
4.0ms	10×	0	valid
4.0ms	2×	3	valid

Compiler

Compiled 378 to 46 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

adjust: 50.0ms (23.6% of total)

ival-exp: 40.0ms (18.9% of total)

ival-mult: 31.0ms (14.6% of total)

ival-fmod: 28.0ms (13.2% of total)

const: 21.0ms (9.9% of total)

ival-cos: 16.0ms (7.6% of total)

ival-add: 12.0ms (5.7% of total)

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

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

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

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

exact: 1.0ms (0.5% of total)

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

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

series8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

23 → 39

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

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

1.0ms

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

simplify212.0ms (1.8%)

Memory

31.5MiB live, 256.9MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	428
1	399	382
2	1406	362
3	6081	361
0	8200	339

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

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

rewrite232.0ms (2%)

Memory

-2.8MiB live, 232.2MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	404
0	100	399
1	318	395
2	2055	395
0	9203	395

Stop Event

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

Counts

23 → 270

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

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

eval56.0ms (0.5%)

Memory: -6.2MiB live, 57.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 13 318 to 1 348 computations (89.9% saved)

prune23.0ms (0.2%)

Memory

-15.2MiB live, 30.0MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	267	6	273
Fresh	0	1	1
Picked	1	4	5
Done	0	8	8
Total	268	19	287

Accuracy

61.5%

Counts

287 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	5.3%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
✓	5.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
	5.3%	(.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) x)) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	5.8%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	5.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (.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)))
✓	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -19/5760 (* x x)) 1/96) x) (.f64 (fma.f64 (.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64)) x)) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	5.3%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (.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)))
✓	5.2%	(.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)))
✓	10.7%	(.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)))
✓	14.4%	(.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)))
	10.7%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 (.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)))
	14.4%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 (.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)))
✓	27.7%	(.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)))
	10.3%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 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)))
	43.2%	(.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)))
	13.5%	(.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)))
✓	26.5%	(.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)))
✓	4.3%	#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 1 066 to 487 computations (54.3% saved)

regimes13.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

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

Outputs

(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 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) #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:

6.0ms	x
5.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
57.9%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
60.4%	3	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes31.0ms (0.3%)

Memory

-30.2MiB live, 15.5MiB allocated; 3ms collecting garbage

Counts

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

25.0ms	x
4.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
57.9%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
58.7%	3	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

4 → 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) #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 (.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
27.7%	1	`x`
27.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

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
26.5%	1	`x`
26.5%	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

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

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
4.3%	1	`x`
4.3%	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)

bsearch72.0ms (0.6%)

Memory

3.8MiB live, 50.4MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.8007721991839588	3605.977791276745
54.0ms	-3.7624755102077235e-100	-2.676206619878265e-109

Samples

47.0ms	144×	1	valid
11.0ms	101×	0	invalid

Compiler

Compiled 769 to 570 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-fmod: 28.0ms (54.8% of total)

ival-exp: 9.0ms (17.6% of total)

ival-cos: 5.0ms (9.8% of total)

adjust: 3.0ms (5.9% of total)

ival-sqrt: 3.0ms (5.9% of total)

ival-mult: 2.0ms (3.9% of total)

ival-neg: 1.0ms (2% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3695511361219555	1.0

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify108.0ms (0.9%)

Memory

-43.3MiB live, 60.4MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	243
1	101	243
2	176	242
3	462	242
4	1476	242

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 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 x #s(literal 1 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #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 1/2 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 (.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 -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 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 x #s(literal 1 binary64)) (.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #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 1/2 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 (.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)))))

derivations707.0ms (6%)

Memory

45.1MiB live, 424.6MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	428
1	399	382
2	1406	362
3	6081	361
0	8200	339
0	92	283
1	288	246
2	1015	235
3	4561	228
0	8701	211
0	76	228
1	225	207
2	665	201
3	2313	191
4	5216	191
0	8304	175
0	76	218
1	225	197
2	665	191
3	2324	181
4	5205	181
0	8264	165

Stop Event

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

Compiler

Compiled 243 to 72 computations (70.4% saved)

preprocess61.0ms (0.5%)

Memory: -31.1MiB live, 60.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 506 to 160 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze261.0ms (2.2%)

sample4.7s (40%)

explain1.2s (9.7%)

preprocess149.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify133.0ms (1.1%)

localize431.0ms (3.6%)

series3.0ms (0%)

simplify128.0ms (1.1%)

rewrite154.0ms (1.3%)

eval28.0ms (0.2%)

prune8.0ms (0.1%)

simplify168.0ms (1.4%)

localize614.0ms (5.2%)

series4.0ms (0%)

simplify147.0ms (1.2%)

rewrite239.0ms (2%)

eval36.0ms (0.3%)

prune92.0ms (0.8%)

simplify132.0ms (1.1%)

localize738.0ms (6.2%)

series6.0ms (0.1%)

simplify156.0ms (1.3%)

rewrite249.0ms (2.1%)

eval54.0ms (0.5%)

prune43.0ms (0.4%)

simplify127.0ms (1.1%)

localize334.0ms (2.8%)

series8.0ms (0.1%)

simplify212.0ms (1.8%)

rewrite232.0ms (2%)

eval56.0ms (0.5%)

prune23.0ms (0.2%)

regimes13.0ms (0.1%)

regimes31.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch72.0ms (0.6%)

bsearch0.0ms (0%)

simplify108.0ms (0.9%)

derivations707.0ms (6%)

preprocess61.0ms (0.5%)

end0.0ms (0%)

Profiling