Metrics for expfmod (used to be hard to sample)

analyze177.0ms (1.4%)

Memory

-39.2MiB live, 407.6MiB 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)

sample4.8s (37.1%)

Memory

99.7MiB live, 5 876.5MiB allocated

Samples

1.5s	1 564×	5	exit
1.1s	2 506×	2	valid
839.0ms	3 661×	1	valid
431.0ms	3 451×	0	invalid
333.0ms	2 089×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-cos: 1.4s (37.3% of total)

ival-fmod: 920.0ms (24.5% of total)

ival-exp: 719.0ms (19.2% of total)

ival-sqrt: 241.0ms (6.4% of total)

adjust: 228.0ms (6.1% of total)

ival-mult: 145.0ms (3.9% of total)

ival-neg: 82.0ms (2.2% of total)

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

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

Bogosity

preprocess21.0ms (0.2%)

Memory

-8.9MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`sub-neg`
28×	`div-sub`
24×	`lower-*.f32`
22×	`lower-*.f64`
22×	`times-frac`

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)))

explain179.0ms (1.4%)

Memory

-15.2MiB live, 221.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
193	0	-	193	(3.939073165909929e-29)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
2	0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(exp.f64 x)`
0	1	(231.71229711702273)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`	*uo**	2	0
↳	`(exp.f64 x)`	underflow	2
↳	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`	underflow	2
↳	`(exp.f64 (neg.f64 x))`	overflow	2
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	3	244
-	0	9

Precision

1.0

Recall

0.012145748987854251

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	244
-	0	0	9

Precision?

1.0

Recall?

0.012145748987854251

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	128×	2	valid
51.0ms	250×	1	valid
13.0ms	104×	1	exit
3.0ms	30×	0	valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-exp: 28.0ms (28.9% of total)

ival-fmod: 27.0ms (27.8% of total)

ival-cos: 18.0ms (18.6% of total)

adjust: 8.0ms (8.2% of total)

ival-sqrt: 8.0ms (8.2% of total)

ival-mult: 5.0ms (5.2% of total)

ival-neg: 2.0ms (2.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

24×	`lower-*.f32`
22×	`lower-*.f64`
12×	`lower-/.f32`
12×	`lower-/.f64`
8×	`lower-+.f64`

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

localize77.0ms (0.6%)

Memory

-10.9MiB live, 76.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	99.2%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	28.0%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

27.0ms	64×	2	valid
26.0ms	125×	1	valid
7.0ms	52×	1	exit
2.0ms	15×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-exp: 16.0ms (31.9% of total)

ival-fmod: 13.0ms (25.9% of total)

ival-cos: 9.0ms (18% of total)

adjust: 4.0ms (8% of total)

ival-sqrt: 4.0ms (8% of total)

ival-mult: 3.0ms (6% of total)

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

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

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

series3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt (exp.f64 x)>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (cos.f64 x)>

Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms	x	@	inf	(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms	x	@	0	(sqrt (cos x))
0.0ms	x	@	0	(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms	x	@	inf	(sqrt (cos x))

rewrite90.0ms (0.7%)

Memory

15.1MiB live, 52.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

612×	`lower-*.f32`
610×	`lower-*.f64`
600×	`lower-/.f64`
600×	`lower-/.f32`
252×	`lower-fma.f64`

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

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

simplify310.0ms (2.4%)

Memory

-0.8MiB live, 351.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 324×	`lower-fma.f64`
13 324×	`lower-fma.f32`
3 658×	`lower-*.f64`
3 658×	`lower-*.f32`
2 382×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	401
1	181	380
2	412	368
3	1045	358
4	1890	358
5	3512	358
6	4863	358
7	6196	358
8	7695	358
0	8062	336

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval12.0ms (0.1%)

Memory: 13.7MiB live, 13.7MiB allocated
Compiler: Compiled 1 539 to 260 computations (83.1% saved)

prune42.0ms (0.3%)

Memory

-13.7MiB live, 26.2MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	111	13	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	14	125

Accuracy

27.4%

Counts

125 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
▶	7.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	7.0%	(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.6%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶	6.5%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.9%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.3%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	5.9%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
✓	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	6.3%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	23.9%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 403 to 278 computations (31% saved)

simplify18.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	256	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(sqrt.f64 (cos.f64 x))
✓	cost-diff	0	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	0	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Rules

204×	`lower-fma.f32`
198×	`lower-fma.f64`
160×	`lower-*.f32`
146×	`lower-*.f64`
116×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	191
0	52	191
1	80	191
2	141	187
3	189	187
4	200	187
5	206	187
6	262	187
7	333	187
8	347	187
9	351	187
10	352	187
0	352	187

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize554.0ms (4.3%)

Memory

-163.4MiB live, 414.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	99.2%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	accuracy	28.0%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	accuracy	28.1%	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.2%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	accuracy	28.0%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.2%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	28.0%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	59.4%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Samples

317.0ms	38×	3	valid
114.0ms	93×	2	valid
44.0ms	66×	1	valid
20.0ms	52×	1	exit
3.0ms	7×	0	valid

Compiler

Compiled 205 to 32 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-fmod: 92.0ms (43.3% of total)

adjust: 27.0ms (12.7% of total)

ival-mult: 24.0ms (11.3% of total)

ival-cos: 23.0ms (10.8% of total)

ival-exp: 19.0ms (8.9% of total)

ival-sqrt: 10.0ms (4.7% of total)

ival-add: 7.0ms (3.3% of total)

const: 4.0ms (1.9% of total)

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

exact: 1.0ms (0.5% of total)

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

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

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

series13.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))>
#<alt (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>

Outputs
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (exp (neg x)))
1.0ms	x	@	inf	(* (fmod (exp x) 1) (exp (neg x)))
1.0ms	x	@	inf	(sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))
1.0ms	x	@	inf	(* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (exp (neg x)))
0.0ms	x	@	-inf	(* (fmod (exp x) (+ (* x (* x -1/4)) 1)) (exp (neg x)))

rewrite460.0ms (3.6%)

Memory

-24.5MiB live, 421.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 284×	`lower-fma.f32`
8 278×	`lower-fma.f64`
4 790×	`lower-*.f32`
4 776×	`lower-*.f64`
2 482×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	128
0	52	128
1	128	124
2	690	124
3	6464	124
0	8424	124

Stop Event

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

Counts

17 → 223

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (cos.f64 x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(cos.f64 x)
(-.f64 (.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(-.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (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 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/4 binary64) (.f64 x 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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal -1/4 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) (/.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 x #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #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)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #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)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) #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)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/4096 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/4096 binary64) #s(literal 1 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/4096 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/4096 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/256 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/256 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))) #s(literal 1 binary64))))
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(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))))) (sqrt.f64 (fma.f64 (neg.f64 x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(neg.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (exp.f64 (neg.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

simplify377.0ms (2.9%)

Memory

39.3MiB live, 389.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 224×	`lower-fma.f64`
14 224×	`lower-fma.f32`
4 296×	`lower-*.f64`
4 296×	`lower-*.f32`
2 762×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	2134
1	598	1931
2	1638	1845
3	4773	1818
0	8117	1685

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(fmod 1 (sqrt (cos x)))
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)

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

eval70.0ms (0.5%)

Memory: -9.0MiB live, 103.4MiB allocated
Compiler: Compiled 11 109 to 1 045 computations (90.6% saved)

prune88.0ms (0.7%)

Memory

-31.2MiB live, 144.3MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	605	22	627
Fresh	4	4	8
Picked	1	4	5
Done	0	1	1
Total	610	31	641

Accuracy

63.2%

Counts

641 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.2%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	4.3%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
▶	6.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x))
	6.3%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	13.7%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	17.5%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	6.4%	(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	26.2%	(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	6.6%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	6.2%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	5.9%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	6.5%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶	41.3%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
	6.9%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
	2.7%	(.f64 (fmod.f64 (exp.f64 x) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
	2.8%	(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	6.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	5.9%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	6.2%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	6.1%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	5.9%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	6.3%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	23.9%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))
✓	23.9%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	23.6%	(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 858 to 585 computations (31.8% saved)

simplify155.0ms (1.2%)

Memory

4.0MiB live, 120.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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))) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))))))
✓	cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
✓	cost-diff	320	(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))

Rules

1 888×	`lower-fma.f32`
1 880×	`lower-fma.f64`
1 060×	`lower-*.f32`
1 044×	`lower-*.f64`
940×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	226
0	65	223
1	101	223
2	167	222
3	250	222
4	340	222
5	386	222
6	628	222
7	791	222
8	894	222
9	914	222
10	1078	222
11	1664	222
12	2289	222
13	2454	222
14	2573	222
15	2631	222
16	2685	222
17	2697	222
18	2706	222
19	2722	222
20	2734	222
21	2734	222
22	2738	222
0	2738	219

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize349.0ms (2.7%)

Memory

21.1MiB live, 406.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	28.0%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	28.1%	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/4 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	28.0%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	28.0%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))))
✓	accuracy	99.7%	(fmod.f64 (exp.f64 x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))))))
✓	accuracy	99.2%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))

Samples

136.0ms	124×	1	valid
89.0ms	62×	2	valid
47.0ms	52×	1	exit
6.0ms	15×	0	valid
5.0ms	3×	3	valid

Compiler

Compiled 243 to 39 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-fmod: 76.0ms (30.5% of total)

ival-cos: 41.0ms (16.4% of total)

ival-sqrt: 36.0ms (14.4% of total)

ival-mult: 30.0ms (12% of total)

adjust: 21.0ms (8.4% of total)

ival-exp: 15.0ms (6% of total)

ival-add: 12.0ms (4.8% of total)

ival-div: 7.0ms (2.8% of total)

const: 6.0ms (2.4% of total)

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

exact: 1.0ms (0.4% of total)

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

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

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

series13.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

18 → 216

Calls

Call 1

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

Outputs
#<alt (/ -1/4 (sqrt 1/24))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* 1/2 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (* 1/2 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (* -1 (* x (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* x (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))>
#<alt (* -1 (* x (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (exp x) (- 1 (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))>
#<alt (* -1 (* x (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x)>
#<alt (/ (fmod (exp x) (sqrt (cos x))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x -1/4)
1.0ms	x	@	0	(+ (* 1 (/ -1/4 (sqrt 1/24))) (* x (* x (sqrt 1/24))))
1.0ms	x	@	inf	(* (fmod (exp x) (+ (* x (* x -1/4)) 1)) (- 1 x))
0.0ms	x	@	-inf	(* (fmod (exp x) (+ (* 1 (/ -1/4 (sqrt 1/24))) (* x (* x (sqrt 1/24))))) (exp (neg x)))
0.0ms	x	@	0	(* (fmod (exp x) (+ (* 1 (/ -1/4 (sqrt 1/24))) (* x (* x (sqrt 1/24))))) (exp (neg x)))

rewrite433.0ms (3.4%)

Memory

-4.9MiB live, 584.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 034×	`lower-fma.f32`
6 026×	`lower-fma.f64`
4 708×	`lower-*.f32`
4 692×	`lower-*.f64`
3 916×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	159
0	65	156
1	184	155
2	1156	155
0	8603	152

Stop Event

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

Counts

18 → 271

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(+.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(+.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))))))
(-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (/.f64 #s(literal 3/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))))))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 (.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64)) x) (.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 (.f64 x (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64))) (.f64 x (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 3/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -3/2 binary64))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 3/2 binary64)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 3/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal -1/64 binary64) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 3/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -3/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 27/8 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 27/8 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)) #s(literal 2/3 binary64))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 3/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 27/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 #s(literal -1/64 binary64) (.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 3/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 27/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 9/4 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 3/2 binary64)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 9/4 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -3/2 binary64))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (/.f64 #s(literal 3/2 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))))) (+.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
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(.f64 (pow.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x))))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x)))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)))) (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.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))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(literal 1/24 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)))
(.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))
(.f64 x (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x))
(.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) x)
(.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64)) x))
(.f64 (.f64 x (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64))) (*.f64 x (pow.f64 #s(literal 1/24 binary64) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(cos.f64 x)

simplify409.0ms (3.2%)

Memory

0.1MiB live, 571.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 524×	`lower-fma.f64`
15 524×	`lower-fma.f32`
4 696×	`lower-*.f64`
4 696×	`lower-*.f32`
3 666×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2618
1	547	2260
2	1369	2203
3	4000	2125
0	8273	1984

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(/ -1/4 (sqrt 1/24))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(+ (* -1 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* 1/2 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (* 1/2 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))
(* -1 (* x (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))
(* x (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))
(* x (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))
(* x (+ (* -1 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))
(* -1 (* x (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (+ 1 (* -1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
(fmod (exp x) (- 1 (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* -1 (* x (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))
(* x (+ (* -1 (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))
(* x (+ (* -1 (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))
(* -1 (* x (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) x)
(/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)
(/ (- (+ (/ (fmod (exp x) (sqrt (cos x))) (pow x 2)) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (/ (fmod (exp x) (sqrt (cos x))) x))) x)
(/ (fmod (exp x) (sqrt (cos x))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (cos x))) x) (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)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (sqrt 1/24))
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)

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

eval63.0ms (0.5%)

Memory: 7.0MiB live, 121.2MiB allocated
Compiler: Compiled 12 899 to 1 174 computations (90.9% saved)

prune79.0ms (0.6%)

Memory

-24.4MiB live, 141.8MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	545	18	563
Fresh	7	14	21
Picked	4	1	5
Done	1	4	5
Total	557	37	594

Accuracy

63.2%

Counts

594 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.6%	(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	5.2%	(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
	25.1%	(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	40.2%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
	4.3%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
▶	23.6%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	7.4%	(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) x))
	6.0%	(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
▶	5.9%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
	5.9%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
	6.0%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
▶	6.1%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
	13.7%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	16.9%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	6.2%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
	17.5%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	6.0%	(.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	6.2%	(.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	26.2%	(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	6.6%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	6.2%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	5.9%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	6.5%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.9%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
	2.7%	(.f64 (fmod.f64 (exp.f64 x) (.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x))) (-.f64 #s(literal 1 binary64) x))
	2.7%	(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	6.2%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	6.1%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	4.1%	(.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	23.9%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))
✓	23.9%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1 063 to 701 computations (34.1% saved)

simplify778.0ms (6%)

Memory

9.9MiB live, 649.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	(*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x)
✓	cost-diff	(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))

Rules

29 736×	`lower-fma.f32`
29 716×	`lower-fma.f64`
3 640×	`lower-+.f32`
3 638×	`lower-+.f64`
3 262×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	252
0	77	252
1	146	252
2	305	252
3	706	252
4	1319	252
5	1887	252
6	2713	252
7	3684	252
8	4867	252
9	5761	252
10	6175	252
11	6202	252
12	6249	252
13	6301	252
14	6702	252
15	6765	252
16	6801	252
17	6824	252
18	6842	252
19	6848	252
20	6848	252
0	8002	252

Stop Event

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

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(exp.f64 x)
x
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x)
(sqrt.f64 #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
#s(literal -1/4 binary64)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
(sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)

Outputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(exp.f64 x)
x
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 1/24 binary64)))
(sqrt.f64 #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
#s(literal -1/4 binary64)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
(sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

localize361.0ms (2.8%)

Memory

-19.6MiB live, 499.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	29.5%	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	29.5%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	29.5%	(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x)
✓	accuracy	100.0%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
✓	accuracy	100.0%	(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))

Samples

126.0ms	112×	1	valid
94.0ms	65×	2	valid
22.0ms	55×	0	invalid
14.0ms	8×	3	valid
7.0ms	3×	5	exit
6.0ms	13×	0	valid

Compiler

Compiled 290 to 50 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-fmod: 92.0ms (39.8% of total)

ival-mult: 35.0ms (15.1% of total)

adjust: 26.0ms (11.2% of total)

ival-add: 22.0ms (9.5% of total)

ival-exp: 18.0ms (7.8% of total)

const: 13.0ms (5.6% of total)

ival-sqrt: 13.0ms (5.6% of total)

ival-div: 8.0ms (3.5% of total)

ival-sub: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series12.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

18 → 204

Calls

Call 1

Inputs
#<alt (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))>
#<alt (exp.f64 x)>
#<alt (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x)>
#<alt (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))>
#<alt (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))>
#<alt (fmod.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))>

Outputs
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (/ -1/4 (sqrt 1/24))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (* x (sqrt 1/24))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* -1 (* x (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))>
#<alt (* x (+ (* -1 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))>
#<alt (* x (+ (* -1 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))>
#<alt (* x (+ (* -1 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))>
#<alt (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))>
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) 1)))>
#<alt (* (pow x 3) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x)))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (+ (* 1/2 (/ (fmod (exp x) 1) x)) (/ (fmod (exp x) 1) (pow x 3))))))>
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) 1)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) 1) x)) (* 1/6 (fmod (exp x) 1)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1)))))>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))>
#<alt (+ (* x (- (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (* -1 (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))>
#<alt (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)>
#<alt (/ (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)>
#<alt (/ (- (+ (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x)>
#<alt (/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 3))) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x))) x)>
#<alt (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)>
#<alt (* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/128 (pow x 2)) 1/32)) 1/4)))>
#<alt (* x (sqrt -1/2))>
#<alt (* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2))))))>
#<alt (* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3)))))>
#<alt (* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3))))))>
#<alt (* -1 (* x (sqrt -1/2)))>
#<alt (* -1 (* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3)))))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt (+ (* x (* x -1/2)) 1))
1.0ms	x	@	inf	(* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (- 1 x))
1.0ms	x	@	-inf	(* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (- 1 x))
1.0ms	x	@	inf	(/ (fmod (exp x) (sqrt (+ (* x (* x -1/2)) 1))) (+ 1 x))
0.0ms	x	@	0	(* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (- 1 x))

rewrite390.0ms (3%)

Memory

9.5MiB live, 587.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 742×	`lower-fma.f32`
5 722×	`lower-fma.f64`
3 802×	`lower-*.f32`
3 790×	`lower-*.f64`
3 492×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	178
0	77	178
1	291	178
2	2257	178
0	8629	178

Stop Event

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

Counts

18 → 303

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(exp.f64 x)
(fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))

Outputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(+.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (/.f64 #s(literal 3/2 binary64) (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) x (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/24 binary64)))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -3/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -3/2 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 3/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64))))))
(/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/2 binary64)) (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/2 binary64))) (neg.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(/.f64 (-.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 3/2 binary64))) (.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 3/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))))))
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(pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(exp.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/12 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))

simplify429.0ms (3.3%)

Memory

-20.2MiB live, 429.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 298×	`lower-fma.f64`
11 298×	`lower-fma.f32`
4 486×	`lower-*.f64`
4 486×	`lower-*.f32`
3 480×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	3196
1	962	2935
2	2873	2786
3	7339	2784
0	8060	2540

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(/ -1/4 (sqrt 1/24))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(* x (sqrt 1/24))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* -1 (* x (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))
(* x (+ (* -1 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))
(* x (+ (* -1 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))
(* x (+ (* -1 (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))) (/ (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)))
(* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))))
(* -1 (* x (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))
(* -1 (* x (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))
(* -1 (* x (+ (* -1 (/ (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))) x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))
(* -1/6 (* (pow x 3) (fmod (exp x) 1)))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (* 1/2 (/ (fmod (exp x) 1) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) 1) (pow x 2))) (+ (* -1/6 (fmod (exp x) 1)) (+ (* 1/2 (/ (fmod (exp x) 1) x)) (/ (fmod (exp x) 1) (pow x 3))))))
(* -1/6 (* (pow x 3) (fmod (exp x) 1)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) 1) x)) (* 1/6 (fmod (exp x) 1)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))) x)) (* 1/6 (fmod (exp x) 1)))))
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))
(+ (* x (- (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))
(+ (* x (- (* x (- (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (* -1 (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))) (fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2))))))
(/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)
(/ (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)
(/ (- (+ (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x)
(/ (- (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 3))) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (+ (* -1 (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) (pow x 2))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x))) x)
(/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)
(* -1 (/ (+ (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))) x) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))) x)) (* -1 (fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2))))))) x))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (+ 1 (* -1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- 1 (* 1/2 (pow x 2)))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/128 (pow x 2)) 1/32)) 1/4)))
(* x (sqrt -1/2))
(* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2))))))
(* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3)))))
(* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3))))))
(* -1 (* x (sqrt -1/2)))
(* -1 (* x (+ (sqrt -1/2) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1/2)))))))
(* -1 (* x (- (+ (sqrt -1/2) (/ 1/2 (* (pow x 2) (sqrt -1/2)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1/2) 3))))))
(* -1 (* x (- (+ (sqrt -1/2) (+ (/ 1/2 (* (pow x 2) (sqrt -1/2))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1/2) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1/2) 3)))))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))

Outputs
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(/ -1/4 (sqrt 1/24))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (sqrt 1/24))
(.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))))
(* (pow x 2) (sqrt 1/24))
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(.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -3/2 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(* (pow x 2) (sqrt 1/24))
(.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -3/2 binary64) (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval91.0ms (0.7%)

Memory: 9.9MiB live, 86.2MiB allocated
Compiler: Compiled 17 092 to 1 515 computations (91.1% saved)

prune96.0ms (0.7%)

Memory

31.7MiB live, 109.5MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	525	12	537
Fresh	11	16	27
Picked	3	2	5
Done	1	4	5
Total	540	34	574

Accuracy

99.6%

Counts

574 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.4%	(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
	40.5%	(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
	16.6%	(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	25.1%	(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	40.2%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
	40.2%	(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -3/2 binary64)) (-.f64 (.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
	42.7%	(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
✓	23.6%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	5.9%	(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
	6.3%	(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
	39.7%	(.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
	6.0%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	2.9%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))) (-.f64 #s(literal 1 binary64) x))
	13.6%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	13.3%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	13.7%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	16.9%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	13.6%	(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	6.2%	(.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	26.2%	(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	4.6%	(.f64 (fmod.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
	6.6%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	6.2%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	6.5%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	6.9%	(.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
	6.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	6.4%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	6.6%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	7.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	4.1%	(.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	23.9%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))
✓	23.9%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1 577 to 566 computations (64.1% saved)

regimes55.0ms (0.4%)

Memory

-15.9MiB live, 23.0MiB allocated

Counts

66 → 3

Calls

Call 1

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

Outputs

(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))

(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))

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

Calls

2 calls:

17.0ms	x
14.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	3	`x`
62.1%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes16.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))

(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes75.0ms (0.6%)

Memory

-46.2MiB live, 8.4MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))

(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))

(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(.f64 (fmod.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))

Outputs

(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))

(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
62.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))

Calls

2 calls:

4.0ms	x
3.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
25.1%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
25.1%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
23.6%	1	`x`
23.6%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch76.0ms (0.6%)

Memory

21.2MiB live, 59.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.46063044460958186	231.71229711702273
59.0ms	-8.91265740047405e-309	1.2004440036224653e-306

Samples

35.0ms	112×	2	valid
11.0ms	101×	0	invalid

Compiler

Compiled 329 to 215 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-exp: 12.0ms (30.5% of total)

ival-fmod: 12.0ms (30.5% of total)

ival-cos: 6.0ms (15.2% of total)

adjust: 3.0ms (7.6% of total)

ival-sqrt: 3.0ms (7.6% of total)

ival-mult: 2.0ms (5.1% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

bsearch172.0ms (1.3%)

Memory

-5.3MiB live, 69.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.46063044460958186	231.71229711702273
155.0ms	-8.91265740047405e-309	1.2004440036224653e-306

Samples

150.0ms	112×	2	valid
11.0ms	101×	0	invalid

Compiler

Compiled 329 to 215 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-fmod: 83.0ms (53.8% of total)

ival-mult: 46.0ms (29.8% of total)

ival-exp: 12.0ms (7.8% of total)

ival-cos: 6.0ms (3.9% of total)

adjust: 3.0ms (1.9% of total)

ival-sqrt: 3.0ms (1.9% of total)

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

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

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

bsearch119.0ms (0.9%)

Memory

10.6MiB live, 93.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-failed
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.46063044460958186	231.71229711702273
101.0ms	-8.91265740047405e-309	1.2004440036224653e-306

Samples

96.0ms	112×	2	valid
11.0ms	101×	0	invalid

Compiler

Compiled 329 to 215 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-fmod: 14.0ms (34.4% of total)

ival-exp: 12.0ms (29.5% of total)

ival-cos: 6.0ms (14.7% of total)

adjust: 3.0ms (7.4% of total)

ival-sqrt: 3.0ms (7.4% of total)

ival-mult: 2.0ms (4.9% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

bsearch29.0ms (0.2%)

Memory

-8.8MiB live, 64.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
27.0ms	231.71229711702273	66168592332487.086

Samples

14.0ms	101×	0	invalid
8.0ms	64×	0	valid

Compiler

Compiled 90 to 68 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-exp: 7.0ms (37.3% of total)

ival-cos: 7.0ms (37.3% of total)

ival-fmod: 2.0ms (10.7% of total)

ival-mult: 1.0ms (5.3% of total)

ival-sqrt: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

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

simplify15.0ms (0.1%)

Memory

-19.5MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	195
1	62	195
2	65	195
3	66	195

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 400 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 (fmod.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 400 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 400 binary64)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness1.2s (9.2%)

Memory

18.1MiB live, 892.1MiB allocated

Rules

15 524×	`lower-fma.f64`
15 524×	`lower-fma.f32`
14 224×	`lower-fma.f64`
14 224×	`lower-fma.f32`
13 324×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	2134
1	598	1931
2	1638	1845
3	4773	1818
0	8117	1685
0	207	2618
1	547	2260
2	1369	2203
3	4000	2125
0	8273	1984
0	76	401
1	181	380
2	412	368
3	1045	358
4	1890	358
5	3512	358
6	4863	358
7	6196	358
8	7695	358
0	8062	336
0	332	3196
1	962	2935
2	2873	2786
3	7339	2784
0	8060	2540

Stop Event

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

Compiler

Compiled 698 to 392 computations (43.8% saved)

preprocess179.0ms (1.4%)

Memory: -13.5MiB live, 186.1MiB allocated
Compiler: Compiled 414 to 108 computations (73.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	29	21
2	68	21
3	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	27	191
0	52	191
1	80	191
2	141	187
3	189	187
4	200	187
5	206	187
6	262	187
7	333	187
8	347	187
9	351	187
10	352	187
0	352	187

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	27	191
0	52	191
1	80	191
2	141	187
3	189	187
4	200	187
5	206	187
6	262	187
7	333	187
8	347	187
9	351	187
10	352	187
0	352	187

analyze177.0ms (1.4%)

sample4.8s (37.1%)

preprocess21.0ms (0.2%)

explain179.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize77.0ms (0.6%)

series3.0ms (0%)

rewrite90.0ms (0.7%)

simplify310.0ms (2.4%)

eval12.0ms (0.1%)

prune42.0ms (0.3%)

simplify18.0ms (0.1%)

localize554.0ms (4.3%)

series13.0ms (0.1%)

rewrite460.0ms (3.6%)

simplify377.0ms (2.9%)

eval70.0ms (0.5%)

prune88.0ms (0.7%)

simplify155.0ms (1.2%)

localize349.0ms (2.7%)

series13.0ms (0.1%)

rewrite433.0ms (3.4%)

simplify409.0ms (3.2%)

eval63.0ms (0.5%)

prune79.0ms (0.6%)

simplify778.0ms (6%)

localize361.0ms (2.8%)

series12.0ms (0.1%)

rewrite390.0ms (3%)

simplify429.0ms (3.3%)

eval91.0ms (0.7%)

prune96.0ms (0.7%)

regimes55.0ms (0.4%)

regimes16.0ms (0.1%)

regimes75.0ms (0.6%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

bsearch76.0ms (0.6%)

bsearch172.0ms (1.3%)

bsearch119.0ms (0.9%)

bsearch29.0ms (0.2%)

simplify15.0ms (0.1%)

soundness1.2s (9.2%)

preprocess179.0ms (1.4%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	27	191
0	52	191
1	80	191
2	141	187
3	189	187
4	200	187
5	206	187
6	262	187
7	333	187
8	347	187
9	351	187
10	352	187
0	352	187