Metrics for expfmod (used to be hard to sample)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze341.0ms (3.1%)

Memory

-6.7MiB live, 196.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample4.7s (43.4%)

Memory

70.6MiB live, 4 485.3MiB allocated

Samples

1.4s	1 552×	5	exit
1.2s	2 584×	2	valid
926.0ms	3 592×	1	valid
340.0ms	3 187×	0	invalid
256.0ms	2 080×	0	valid

Precisions

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

ival-cos: 1.3s (34.2% of total)

ival-fmod: 847.0ms (23.1% of total)

ival-exp: 775.0ms (21.1% of total)

ival-sqrt: 307.0ms (8.4% of total)

adjust: 274.0ms (7.5% of total)

ival-mult: 141.0ms (3.8% of total)

ival-neg: 59.0ms (1.6% of total)

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

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

Bogosity

explain466.0ms (4.3%)

Memory

-169.4MiB live, 187.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
206	-	206	(6.968249543735265e-64)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
1	-	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**	1	0
↳	`(exp.f64 x)`	underflow	1
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	1
↳	`(exp.f64 (neg.f64 x))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	251
-	0	4

Precision

1.0

Recall

0.003968253968253968

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	251
-	0	0	4

Precision?

1.0

Recall?

0.003968253968253968

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

342.0ms	162×	2	valid
53.0ms	242×	1	valid
13.0ms	90×	1	exit
2.0ms	18×	0	valid

Compiler

Compiled 101 to 36 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 386.0ms

ival-cos: 292.0ms (75.6% of total)

ival-exp: 34.0ms (8.8% of total)

ival-fmod: 29.0ms (7.5% of total)

adjust: 14.0ms (3.6% of total)

ival-sqrt: 8.0ms (2.1% of total)

ival-mult: 5.0ms (1.3% of total)

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

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

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

preprocess16.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify4.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize110.0ms (1%)

Memory

-11.3MiB live, 65.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.2539090010508252	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

58.0ms	121×	1	valid
35.0ms	81×	2	valid
6.0ms	45×	1	exit
1.0ms	9×	0	valid

Compiler

Compiled 60 to 18 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-fmod: 18.0ms (30.4% of total)

ival-exp: 16.0ms (27.1% of total)

ival-cos: 11.0ms (18.6% of total)

adjust: 5.0ms (8.5% of total)

ival-sqrt: 4.0ms (6.8% of total)

ival-mult: 3.0ms (5.1% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

5 → 19

Calls

Call 1

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

Outputs
(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 (* 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))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (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 x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms	x	@	inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms	x	@	-inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify184.0ms (1.7%)

Memory

-5.3MiB live, 109.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	218
1	181	197
2	413	191
3	1050	181
4	1888	181
5	3537	181
6	4860	181
7	6181	181
8	7674	181
0	8041	159

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

Inputs
(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 (* 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))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))

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

rewrite55.0ms (0.5%)

Memory

17.1MiB live, 53.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

5 → 64

Calls

Call 1

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

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

eval33.0ms (0.3%)

Memory: -23.5MiB live, 27.5MiB allocated
Compiler: Compiled 1 207 to 279 computations (76.9% saved)

prune4.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Accuracy

23.5%

Counts

83 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	5.9%	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶	5.9%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	21.4%	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 150 to 108 computations (28% saved)

simplify71.0ms (0.7%)

Memory

-7.9MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
cost-diff	19264	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
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	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
cost-diff	0	(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	(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	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff	0	(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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	213
0	53	206
1	72	206
2	101	203
3	132	203
4	204	203
5	246	203
6	359	203
7	439	203
8	499	203
9	554	203
10	735	203
11	963	203
12	1153	203
13	1640	203
14	2150	203
15	2255	203
16	2267	203
17	2273	203
18	2275	203
19	2275	203
0	2275	203

Stop Event

1×	iter limit
1×	saturated
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))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(.f64 (fmod.f64 (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) (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)
(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 x)
x
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(cos.f64 x)

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

localize325.0ms (3%)

Memory

11.7MiB live, 363.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.2578152510508252	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	0.26171737397081396	(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.2500027510508252	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.0	(exp.f64 x)
accuracy	0.2539090010508252	(.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	0.3637965427349754	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	48.7096330725905	(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	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.017910009768442016	(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	0.5520367683693992	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.2539090010508252	(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy	1.0263973699929163	#s(approx (exp x) #s(literal 1 binary64))
accuracy	48.7096330725905	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))

Samples

179.0ms	80×	2	valid
95.0ms	120×	1	valid
21.0ms	45×	1	exit
3.0ms	11×	0	valid

Compiler

Compiled 391 to 54 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-pow: 168.0ms (65.3% of total)

ival-exp: 21.0ms (8.2% of total)

ival-mult: 16.0ms (6.2% of total)

ival-fmod: 15.0ms (5.8% of total)

adjust: 12.0ms (4.7% of total)

ival-cos: 12.0ms (4.7% of total)

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

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

ival-div: 3.0ms (1.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

18 → 39

Calls

Call 1

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

Outputs
(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 (* 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))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ (* -1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/8 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/48 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/8 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(sqrt (/ 1 (exp x)))
(* (sqrt (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (pow (exp x) -1/2) (* (pow (exp x) -1/2) (fmod (exp x) (sqrt (cos x))))) (pow (exp x) -1/2) (* (pow (exp x) -1/2) (fmod (exp x) (sqrt (cos x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
3.0ms	x	@	inf	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (pow (exp x) -1/2) (* (pow (exp x) -1/2) (fmod (exp x) (sqrt (cos x))))) (pow (exp x) -1/2) (* (pow (exp x) -1/2) (fmod (exp x) (sqrt (cos x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
2.0ms	x	@	0	((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (* (pow (exp x) -1/2) (* (pow (exp x) -1/2) (fmod (exp x) (sqrt (cos x))))) (pow (exp x) -1/2) (* (pow (exp x) -1/2) (fmod (exp x) (sqrt (cos x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify237.0ms (2.2%)

Memory

-2.6MiB live, 155.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	486
1	385	409
2	1022	393
3	3427	383
4	7135	383
0	8238	345

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
(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 (* 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))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ (* -1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/8 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/48 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/8 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(sqrt (/ 1 (exp x)))
(* (sqrt (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ (* -1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/8 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/48 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/8 (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))) (fma.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(* (sqrt (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite270.0ms (2.5%)

Memory

15.2MiB live, 137.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	157
0	53	149
1	111	147
2	458	147
3	3242	147
0	10568	147

Stop Event

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

Counts

18 → 544

Calls

Call 1

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

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

eval124.0ms (1.1%)

Memory: -6.2MiB live, 187.1MiB allocated
Compiler: Compiled 24 491 to 2 988 computations (87.8% saved)

prune92.0ms (0.8%)

Memory

-29.3MiB live, 55.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1 010	8	1 018
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 014	9	1 023

Accuracy

24.2%

Counts

1 023 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x))
▶	5.5%	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
✓	5.9%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.0%	(.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))
▶	2.4%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
▶	21.4%	(.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)))
	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
▶	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
▶	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 393 to 275 computations (30% saved)

simplify178.0ms (1.6%)

Memory

21.9MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff	0	(.f64 (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff	128	(+.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff	704	(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) x))
cost-diff	0	#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))
cost-diff	0	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
cost-diff	0	(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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	415
0	79	415
1	114	415
2	197	411
3	385	395
4	967	393
5	3254	393
6	6343	393
0	8062	391

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

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

localize396.0ms (3.6%)

Memory

15.2MiB live, 288.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2578152510508252	(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	0.26171737397081396	(*.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy	0.5141449194267669	#s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.00390625	(sqrt.f64 (cos.f64 x))
accuracy	0.01171875	(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) x))
accuracy	0.5650015065206456	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy	0.2539090010508252	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
accuracy	0.3637965427349754	#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))
accuracy	51.070725709403206	#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
accuracy	0.017910009768442016	(.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy	0.3637965427349754	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.5520367683693992	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
accuracy	48.7096330725905	(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	0.2539090010508252	(.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	0.3637965427349754	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	1.0263973699929163	#s(approx (exp x) #s(literal 1 binary64))
accuracy	48.7096330725905	(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

175.0ms	80×	2	valid
151.0ms	120×	1	valid
31.0ms	45×	1	exit
3.0ms	11×	0	valid

Compiler

Compiled 696 to 82 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-pow: 198.0ms (61.7% of total)

ival-exp: 28.0ms (8.7% of total)

ival-mult: 20.0ms (6.2% of total)

adjust: 18.0ms (5.6% of total)

ival-sub: 17.0ms (5.3% of total)

ival-fmod: 15.0ms (4.7% of total)

ival-cos: 12.0ms (3.7% of total)

ival-add: 6.0ms (1.9% of total)

ival-sqrt: 4.0ms (1.2% of total)

ival-div: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series29.0ms (0.3%)

Memory

-36.0MiB live, 6.4MiB allocated

Counts

24 → 57

Calls

Call 1

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

Outputs
(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 (* 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 (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 1)))
-1
(- (pow x 2) 1)
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (fmod (exp x) (sqrt (cos x))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* x (- (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ (* -1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/8 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/48 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/8 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
x
(* x (- 1 (/ 1 x)))
(* x (- (+ 1 (/ 2 (pow x 2))) (/ 1 x)))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (/ 1 x) (* 2 (/ 1 (pow x 3))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (fmod (exp x) (sqrt (cos x))))
(* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))
(* x (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* x (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(sqrt (/ 1 (exp x)))
(* (sqrt (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) x)) 1)))
(* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (fmod (exp x) (sqrt (cos x))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))

Calls

3 calls:

Time

Variable

Point

Expression

24.0ms

inf

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

3.0ms

-inf

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

1.0ms

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

simplify297.0ms (2.7%)

Memory

40.9MiB live, 114.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	891
1	628	760
2	1839	673
3	6717	673
0	8457	627

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

Inputs
(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 (* 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 (- (* 2 x) 1)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 1)))
-1
(- (pow x 2) 1)
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (fmod (exp x) (sqrt (cos x))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* x (- (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(+ (* -1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/8 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/48 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/8 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
x
(* x (- 1 (/ 1 x)))
(* x (- (+ 1 (/ 2 (pow x 2))) (/ 1 x)))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (/ 1 x) (* 2 (/ 1 (pow x 3))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (fmod (exp x) (sqrt (cos x))))
(* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))
(* x (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(* x (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(sqrt (/ 1 (exp x)))
(* (sqrt (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) x)) 1)))
(* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (fmod (exp x) (sqrt (cos x))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))

Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (.f64 x x) #s(literal -1/96 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (*.f64 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 (.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 2 x) 1)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (fmod (exp x) (sqrt (cos x))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* x (- (* -1 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (* -1 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (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) x))) (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (.f64 (.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ 1 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/8 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ (* -1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/8 (* 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 -1/2 binary64) x #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/8 binary64) x) x)))
(+ (* x (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/48 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/8 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (.f64 (.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -1/48 binary64) x #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (/ 1 x)))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -1 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (/ 1 x) (* 2 (/ 1 (pow x 3))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* x (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)
(* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))))
(neg.f64 (*.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))) x)) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x))))) (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x x)) #s(literal 2 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)
(* x (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))))
(.f64 (fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) #s(literal 2 binary64)))) x)
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(sqrt (/ 1 (exp x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(* (sqrt (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1)))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) x)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) x x)
(* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(.f64 (fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x x)) #s(literal 2 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (fmod (exp x) (sqrt (cos x))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (/ (fmod (exp x) (sqrt (cos x))) x))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x (-.f64 (/.f64 (fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

rewrite274.0ms (2.5%)

Memory

-35.4MiB live, 123.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	318
0	79	318
1	192	314
2	1161	302
0	8636	301

Stop Event

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

Counts

24 → 672

Calls

Call 1

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

Outputs
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(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 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
(+.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(.f64 (.f64 (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))) (pow.f64 (exp.f64 x) #s(literal -1/8 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/8 binary64)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 x) #s(literal -1/8 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))))
(.f64 (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))))
(.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/8 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 x) #s(literal -1/8 binary64)) (.f64 (pow.f64 (exp.f64 x) #s(literal -1/8 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
(exp.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal -1/4 binary64) x)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(.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 #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 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)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 (neg.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) (neg.f64 (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x 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 (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)))
#s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))

eval168.0ms (1.5%)

Memory: 34.9MiB live, 153.7MiB allocated
Compiler: Compiled 31 846 to 3 123 computations (90.2% saved)

prune29.0ms (0.3%)

Memory

-7.2MiB live, 65.9MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	814	11	825
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	818	16	834

Accuracy

24.2%

Counts

834 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.9%	(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 x))
▶	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
✓	5.9%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.0%	(.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))
	11.6%	(.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)))
▶	15.0%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	23.0%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	21.4%	(.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)))
▶	20.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
	5.5%	(.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (.f64 #s(approx (pow (exp x) -1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 x #s(literal 1 binary64)))))
	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
✓	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
	2.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))))
	3.8%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx ( (/ (+ (* x x) 1) (+ -1 (* x x))) (+ -1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 788 to 533 computations (32.4% saved)

simplify42.0ms (0.4%)

Memory

-12.9MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	422
0	64	421
1	86	421
2	114	417
3	146	417
4	193	417
5	209	417
6	259	417
7	363	417
8	442	417
9	529	417
10	622	417
11	745	417
12	865	417
13	884	417
14	898	417
15	915	417
16	921	417
0	921	417

Stop Event

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

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

localize193.0ms (1.8%)

Memory

-6.5MiB live, 267.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2686995590117966	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
accuracy	0.3637965427349754	#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
accuracy	48.7096330725905	(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
accuracy	51.070725709403206	#s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
accuracy	0.0	(exp.f64 x)
accuracy	0.2500027510508252	(/.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 x))
accuracy	0.3637965427349754	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	48.7096330725905	(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	0.2539090010508252	(.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	0.3637965427349754	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.4166779048737914	#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy	48.7096330725905	(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	0.3637965427349754	#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))
accuracy	1.0263973699929163	#s(approx (exp x) #s(literal 1 binary64))
accuracy	48.7096330725905	(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))
accuracy	51.070725709403206	#s(approx (+ (* (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
accuracy	0.2539090010508252	(.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	0.3637965427349754	#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	0.5510394949023277	#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy	48.7096330725905	(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

60.0ms	80×	2	valid
54.0ms	120×	1	valid
12.0ms	45×	1	exit
2.0ms	11×	0	valid

Compiler

Compiled 655 to 66 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-exp: 18.0ms (20.4% of total)

ival-fmod: 15.0ms (17% of total)

adjust: 13.0ms (14.7% of total)

ival-cos: 13.0ms (14.7% of total)

ival-mult: 11.0ms (12.5% of total)

ival-div: 7.0ms (7.9% of total)

ival-sqrt: 4.0ms (4.5% of total)

ival-add: 4.0ms (4.5% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

22 → 33

Calls

Call 1

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

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

2.0ms

-inf

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

1.0ms

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

simplify224.0ms (2.1%)

Memory

13.2MiB live, 217.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	426
1	308	405
2	822	349
3	3455	326
0	8279	301

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 32

Calls

Call 1

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

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

rewrite174.0ms (1.6%)

Memory

-20.7MiB live, 172.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	301
0	62	300
1	147	297
2	753	297
3	6496	297
0	8183	297

Stop Event

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

Counts

22 → 406

Calls

Call 1

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

Outputs
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (neg.f64 x)) (-.f64 (fma.f64 x x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
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(.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) (neg.f64 (exp.f64 x)))
(.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)) (exp.f64 x))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal -1 binary64))
(.f64 (neg.f64 (exp.f64 x)) (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (exp.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(.f64 (neg.f64 (exp.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(.f64 (exp.f64 x) (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(/.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(/.f64 (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (neg.f64 (exp.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))))
(.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal -1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))))
(exp.f64 (.f64 (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))) #s(literal -1 binary64)))
(.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 (.f64 #s(literal -1/4 binary64) 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 (.f64 #s(literal -1/4 binary64) 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 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.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 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))))
(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))))))
#s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))

eval66.0ms (0.6%)

Memory: 9.8MiB live, 82.0MiB allocated
Compiler: Compiled 15 623 to 1 922 computations (87.7% saved)

prune22.0ms (0.2%)

Memory

1.0MiB live, 50.1MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	482	4	486
Fresh	2	6	8
Picked	2	3	5
Done	0	3	3
Total	486	16	502

Accuracy

65.9%

Counts

502 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.0%	(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x))
✓	5.9%	(.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	11.6%	(.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)))
✓	15.0%	(.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	15.0%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) 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)))) (exp.f64 (neg.f64 x)))
✓	23.0%	(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	55.5%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	14.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ ( (+ (* 1/2 x) 1) x) 1) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	21.4%	(.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)))
✓	20.0%	(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 x #s(literal 1 binary64)))))
	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
✓	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
	2.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64)))))))
	3.8%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
	5.5%	#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx ( (/ (+ (* x x) 1) (+ -1 (* x x))) (+ -1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 1 172 to 474 computations (59.6% saved)

regimes17.0ms (0.2%)

Memory

-2.5MiB live, 36.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

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 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x))

Calls

2 calls:

9.0ms	x
6.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
65.6%	3	`x`
64.8%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

-22.3MiB live, 16.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
2.0ms	x

Results

Accuracy	Segments	Branch
23.0%	2	`x`
23.0%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
21.4%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
21.4%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
22.0%	2	`x`
20.0%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 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
20.0%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
20.0%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.7903353795574043e-8	0.9999999999999999

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch18.0ms (0.2%)

Memory

-16.2MiB live, 22.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
17.0ms	3.790335416704551e-8	23973898799.81143

Samples

14.0ms

101×

invalid

Compiler

Compiled 13 to 12 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 3.0ms (25.9% of total)

ival-mult: 3.0ms (25.9% of total)

ival-exp: 2.0ms (17.2% of total)

ival-sqrt: 1.0ms (8.6% of total)

ival-fmod: 1.0ms (8.6% of total)

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

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

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

bsearch66.0ms (0.6%)

Memory

-6.3MiB live, 36.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	6.927522217237712e-159	7.906569383284863e-153

Samples

57.0ms

144×

valid

Compiler

Compiled 526 to 399 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-fmod: 38.0ms (72.6% of total)

ival-exp: 6.0ms (11.5% of total)

adjust: 2.0ms (3.8% of total)

ival-cos: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

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

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

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

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

simplify30.0ms (0.3%)

Memory

-7.4MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	272
1	85	272
2	88	272
3	89	272

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/18889465931478580854784 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 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(if (<=.f64 x #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 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 x #s(literal 6925251241246927/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))

Outputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/18889465931478580854784 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 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x)))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 944473296573929/18889465931478580854784 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 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)))) (exp.f64 x))
(.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(if (<=.f64 x #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (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 x #s(literal 6925251241246927/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))))
(if (<=.f64 x #s(literal 6925251241246927/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) (.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 (neg.f64 x))))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 (.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ ( (* x x) -1/4) 1) (.f64 #s(literal -1/4 binary64) (.f64 x x))))) (exp.f64 (neg.f64 x)))

soundness1.3s (12.4%)

Memory

33.7MiB live, 627.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	891
1	628	760
2	1839	673
3	6717	673
0	8457	627
0	142	486
1	385	409
2	1022	393
3	3427	383
4	7135	383
0	8238	345
0	109	426
1	308	405
2	822	349
3	3455	326
0	8279	301
0	76	218
1	181	197
2	413	191
3	1050	181
4	1888	181
5	3537	181
6	4860	181
7	6181	181
8	7674	181
0	8041	159
0	38	301
0	62	300
1	147	297
2	753	297
3	6496	297
0	8183	297

Stop Event

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

Compiler

Compiled 642 to 333 computations (48.1% saved)

preprocess200.0ms (1.8%)

Memory: -22.5MiB live, 51.8MiB allocated
Compiler: Compiled 564 to 156 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	39	422
0	64	421
1	86	421
2	114	417
3	146	417
4	193	417
5	209	417
6	259	417
7	363	417
8	442	417
9	529	417
10	622	417
11	745	417
12	865	417
13	884	417
14	898	417
15	915	417
16	921	417
0	921	417

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

Iter	Nodes	Cost
0	39	422
0	64	421
1	86	421
2	114	417
3	146	417
4	193	417
5	209	417
6	259	417
7	363	417
8	442	417
9	529	417
10	622	417
11	745	417
12	865	417
13	884	417
14	898	417
15	915	417
16	921	417
0	921	417

start0.0ms (0%)

analyze341.0ms (3.1%)

sample4.7s (43.4%)

explain466.0ms (4.3%)

preprocess16.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize110.0ms (1%)

series2.0ms (0%)

simplify184.0ms (1.7%)

rewrite55.0ms (0.5%)

eval33.0ms (0.3%)

prune4.0ms (0%)

simplify71.0ms (0.7%)

localize325.0ms (3%)

series10.0ms (0.1%)

simplify237.0ms (2.2%)

rewrite270.0ms (2.5%)

eval124.0ms (1.1%)

prune92.0ms (0.8%)

simplify178.0ms (1.6%)

localize396.0ms (3.6%)

series29.0ms (0.3%)

simplify297.0ms (2.7%)

rewrite274.0ms (2.5%)

eval168.0ms (1.5%)

prune29.0ms (0.3%)

simplify42.0ms (0.4%)

localize193.0ms (1.8%)

series6.0ms (0.1%)

simplify224.0ms (2.1%)

rewrite174.0ms (1.6%)

eval66.0ms (0.6%)

prune22.0ms (0.2%)

regimes17.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch66.0ms (0.6%)

simplify30.0ms (0.3%)

soundness1.3s (12.4%)

preprocess200.0ms (1.8%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	39	422
0	64	421
1	86	421
2	114	417
3	146	417
4	193	417
5	209	417
6	259	417
7	363	417
8	442	417
9	529	417
10	622	417
11	745	417
12	865	417
13	884	417
14	898	417
15	915	417
16	921	417
0	921	417