Metrics for expfmod (used to be hard to sample)

analyze198.0ms (1.5%)

Memory

-7.8MiB live, 339.9MiB 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 (36.9%)

Memory

-67.8MiB live, 4 395.3MiB allocated

Samples

1.4s	1 610×	5	exit
1.1s	2 551×	2	valid
773.0ms	3 616×	1	valid
368.0ms	3 209×	0	invalid
273.0ms	2 089×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-cos: 1.2s (34.6% of total)

ival-fmod: 876.0ms (25.4% of total)

ival-exp: 624.0ms (18.1% of total)

adjust: 281.0ms (8.2% of total)

ival-sqrt: 255.0ms (7.4% of total)

ival-mult: 147.0ms (4.3% of total)

ival-neg: 54.0ms (1.6% of total)

ival-true: 12.0ms (0.3% of total)

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

Bogosity

preprocess18.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB 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)))

explain297.0ms (2.3%)

Memory

-23.3MiB live, 212.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
195	-	195	(-1.5260592135952211e-102)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
1	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	252
-	0	3

Precision

1.0

Recall

0.003952569169960474

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	252
-	0	0	3

Precision?

1.0

Recall?

0.003952569169960474

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

135.0ms	150×	2	valid
50.0ms	224×	1	valid
15.0ms	114×	1	exit
3.0ms	24×	0	valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

adjust: 83.0ms (46.1% of total)

ival-exp: 29.0ms (16.1% of total)

ival-fmod: 26.0ms (14.4% of total)

ival-cos: 22.0ms (12.2% of total)

ival-sqrt: 12.0ms (6.7% of total)

ival-mult: 5.0ms (2.8% of total)

ival-neg: 2.0ms (1.1% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(*.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

8.4MiB live, 8.4MiB 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)

localize84.0ms (0.7%)

Memory

21.1MiB live, 95.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	99.6%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	28.1%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

39.0ms	75×	2	valid
24.0ms	112×	1	valid
8.0ms	57×	1	exit
1.0ms	12×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-exp: 22.0ms (36.4% of total)

ival-fmod: 16.0ms (26.5% of total)

ival-cos: 10.0ms (16.5% of total)

adjust: 5.0ms (8.3% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-mult: 3.0ms (5% of total)

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

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

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

series3.0ms (0%)

Memory

6.1MiB live, 6.1MiB 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))

rewrite78.0ms (0.6%)

Memory

-21.2MiB live, 107.9MiB 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)))

simplify383.0ms (3%)

Memory

28.6MiB live, 451.8MiB 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)

eval13.0ms (0.1%)

Memory: -3.1MiB live, 36.3MiB allocated
Compiler: Compiled 1 539 to 260 computations (83.1% saved)

prune15.0ms (0.1%)

Memory

5.0MiB live, 44.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	7	125

Accuracy

27.7%

Counts

125 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.8%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
	5.4%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	5.4%	(.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)))
▶	5.4%	(.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)))
▶	5.2%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	25.8%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	5.4%	(.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))))

Compiler

Compiled 172 to 116 computations (32.6% saved)

simplify26.0ms (0.2%)

Memory

-12.2MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(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)))
✓	cost-diff	(.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)))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(.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	(cos.f64 x)
✓	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	(exp.f64 (neg.f64 x))
✓	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)) (exp.f64 (neg.f64 x)))
✓	cost-diff	(cos.f64 x)
✓	cost-diff	(sqrt.f64 (cos.f64 x))
✓	cost-diff	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
✓	cost-diff	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Rules

184×	`lower-fma.f32`
178×	`lower-fma.f64`
136×	`lower-*.f32`
124×	`lower-*.f64`
100×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	165
0	45	165
1	73	165
2	124	161
3	160	161
4	170	161
5	179	161
6	228	161
7	294	161
8	302	161
0	302	161

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

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

localize440.0ms (3.4%)

Memory

1.5MiB live, 431.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓	accuracy	99.6%	(.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)))
✓	accuracy	28.1%	(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)))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(.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	28.1%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	28.1%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	28.1%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	62.9%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Samples

156.0ms	132×	2	valid
44.0ms	65×	1	valid
21.0ms	57×	1	exit
1.0ms	2×	0	valid

Compiler

Compiled 177 to 28 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-fmod: 90.0ms (48.3% of total)

ival-cos: 25.0ms (13.4% of total)

adjust: 20.0ms (10.7% of total)

ival-mult: 19.0ms (10.2% of total)

ival-exp: 16.0ms (8.6% of total)

ival-add: 6.0ms (3.2% of total)

ival-sqrt: 5.0ms (2.7% of total)

const: 4.0ms (2.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-23.9MiB live, 17.8MiB allocated

Counts

15 → 180

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

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x)))
1.0ms	x	@	0	(+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)
1.0ms	x	@	inf	(* (fmod (exp x) 1) (exp (neg x)))
1.0ms	x	@	inf	(* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x)))
0.0ms	x	@	-inf	(* (fmod (exp x) (+ (* x (* x -1/4)) 1)) (exp (neg x)))

rewrite340.0ms (2.6%)

Memory

15.1MiB live, 460.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 054×	`lower-fma.f32`
8 048×	`lower-fma.f64`
4 646×	`lower-*.f32`
4 634×	`lower-*.f64`
2 342×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	113
0	45	113
1	114	109
2	629	109
3	5999	109
0	8079	109

Stop Event

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

Counts

15 → 297

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))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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) (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)))
(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)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 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)))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 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 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 (exp.f64 x) #s(literal 1 binary64))
(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))
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simplify495.0ms (3.8%)

Memory

3.2MiB live, 520.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 130×	`lower-fma.f64`
16 130×	`lower-fma.f32`
5 352×	`lower-*.f64`
5 352×	`lower-*.f32`
2 458×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1773
1	440	1628
2	1090	1563
3	2669	1524
4	5059	1524
0	8482	1386

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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) (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) (+ 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) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (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) (- (* -1/96 (pow x 2)) 1/4)))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))

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

eval79.0ms (0.6%)

Memory: 2.8MiB live, 153.2MiB allocated
Compiler: Compiled 15 603 to 1 363 computations (91.3% saved)

prune67.0ms (0.5%)

Memory

-5.9MiB live, 156.2MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	658	13	671
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	663	15	678

Accuracy

28.6%

Counts

678 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.3%	(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
▶	4.8%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	4.3%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
▶	5.2%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	5.5%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/96 binary64))) x (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.4%	(.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))) (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)))
✓	5.4%	(.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)))
	5.4%	(.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)))
▶	5.4%	(.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 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	5.2%	(.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))
	2.4%	(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
▶	5.3%	(*.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)))
	5.2%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	25.7%	(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	5.4%	(.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))))

Compiler

Compiled 405 to 268 computations (33.8% saved)

simplify239.0ms (1.9%)

Memory

6.1MiB live, 121.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 000×	`lower-fma.f32`
2 994×	`lower-fma.f64`
1 384×	`lower-*.f32`
1 376×	`lower-*.f64`
566×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	126
0	36	126
1	70	126
2	148	125
3	370	125
4	667	125
5	844	125
6	1324	125
7	2052	125
8	2541	125
9	2803	125
10	2987	125
11	3199	125
12	3425	125
13	3511	125
14	3664	125
15	3845	125
16	3849	125
17	3851	125
18	3858	125
19	3859	125
20	3859	125
21	3867	125
0	3867	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize124.0ms (1%)

Memory

-16.9MiB live, 189.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	97.7%	(fmod.f64 (exp.f64 x) #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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	97.8%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 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 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	97.7%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	97.7%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	99.6%	(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))

Samples

80.0ms	244×	1	exit
3.0ms	12×	0	valid

Compiler

Compiled 141 to 24 computations (83% saved)

Precisions

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

ival-fmod: 19.0ms (32.4% of total)

ival-mult: 17.0ms (29% of total)

adjust: 10.0ms (17% of total)

ival-add: 5.0ms (8.5% of total)

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

ival-div: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

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

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

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

series7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

14 → 156

Calls

Call 1

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

Outputs
#<alt (fmod 1 1)>
#<alt (+ (* -1 (* x (fmod 1 1))) (fmod 1 1))>
#<alt (+ (* x (+ (* -1 (fmod 1 1)) (* 1/2 (* x (fmod 1 1))))) (fmod 1 1))>
#<alt (+ (* x (+ (* -1 (fmod 1 1)) (* x (+ (* -1/6 (* x (fmod 1 1))) (* 1/2 (fmod 1 1)))))) (fmod 1 1))>
#<alt (* (exp (neg x)) (fmod 1 1))>
#<alt (* (exp (neg x)) (fmod 1 1))>
#<alt (* (exp (neg x)) (fmod 1 1))>
#<alt (* (exp (neg x)) (fmod 1 1))>
#<alt (* (exp (* -1 x)) (fmod 1 1))>
#<alt (* (exp (* -1 x)) (fmod 1 1))>
#<alt (* (exp (* -1 x)) (fmod 1 1))>
#<alt (* (exp (* -1 x)) (fmod 1 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 (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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 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 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 (+ (* -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)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) 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))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (exp x) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (+ (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (+ (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (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) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<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)>

Calls

39 calls:

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

rewrite338.0ms (2.6%)

Memory

-4.8MiB live, 622.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 502×	`lower-fma.f32`
8 496×	`lower-fma.f64`
4 278×	`lower-*.f32`
4 270×	`lower-*.f64`
2 564×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	36	86
1	111	85
2	721	85
3	7025	85
0	8045	85

Stop Event

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

Counts

14 → 566

Calls

Call 1

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

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

simplify515.0ms (4%)

Memory

6.0MiB live, 538.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 184×	`lower-fma.f64`
19 184×	`lower-fma.f32`
3 684×	`lower--.f64`
3 684×	`lower--.f32`
2 850×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1360
1	444	1272
2	1179	1142
3	3760	1135
0	8109	1029

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval192.0ms (1.5%)

Memory: 21.7MiB live, 169.8MiB allocated
Compiler: Compiled 28 026 to 1 908 computations (93.2% saved)

prune177.0ms (1.4%)

Memory

-28.6MiB live, 171.2MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 032	10	1 042
Fresh	5	4	9
Picked	5	0	5
Done	0	1	1
Total	1 042	15	1 057

Accuracy

28.6%

Counts

1 057 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.4%	(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))
	26.3%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
▶	25.7%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	27.4%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 x))
	5.6%	(.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)) (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)))
	15.0%	(*.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)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	17.1%	(.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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	17.8%	(*.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 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	16.9%	(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	5.5%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/96 binary64))) x (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.4%	(.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))) (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)))
✓	5.4%	(.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)))
▶	5.4%	(.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)))
	2.4%	(.f64 (fmod.f64 (exp.f64 x) (.f64 x (*.f64 x #s(literal -1/4 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	5.4%	(.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))))

Compiler

Compiled 489 to 302 computations (38.2% saved)

simplify966.0ms (7.5%)

Memory

12.0MiB live, 532.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

22 636×	`lower-fma.f32`
22 620×	`lower-fma.f64`
3 408×	`lower-*.f32`
3 400×	`lower-*.f64`
2 504×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	199
0	51	199
1	112	199
2	249	199
3	662	199
4	1302	199
5	1718	199
6	2511	199
7	4522	199
8	5340	199
9	5936	199
10	6525	199
11	6594	199
12	6768	199
13	7249	199
14	7535	199
15	7696	199
16	7879	199
17	7997	199
18	8000	199
19	8000	199
20	8000	199
0	8629	199

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (1.4%)

Memory

12.2MiB live, 208.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #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	97.8%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(.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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/4 binary64))
✓	accuracy	97.7%	(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)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	97.7%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	97.7%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Samples

108.0ms	244×	1	exit
4.0ms	12×	0	valid

Compiler

Compiled 233 to 34 computations (85.4% saved)

Precisions

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

ival-fmod: 37.0ms (41.8% of total)

adjust: 18.0ms (20.4% of total)

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

ival-add: 11.0ms (12.4% of total)

const: 4.0ms (4.5% of total)

ival-div: 2.0ms (2.3% of total)

ival-exp: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series14.0ms (0.1%)

Memory

-19.6MiB live, 18.8MiB allocated

Counts

18 → 204

Calls

Call 1

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

Outputs
#<alt (fmod (+ 1 x) 1)>
#<alt (+ (* -1 (* x (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1)))) (+ (* -1/2 (fmod (+ 1 x) 1)) (* 1/6 (fmod (+ 1 x) 1)))))) (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))>
#<alt (/ (fmod (+ 1 x) 1) (exp x))>
#<alt (/ (fmod (+ 1 x) 1) (exp x))>
#<alt (/ (fmod (+ 1 x) 1) (exp x))>
#<alt (/ (fmod (+ 1 x) 1) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) 1) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) 1) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) 1) (exp x))>
#<alt (/ (fmod (- 1 (* -1 x)) 1) (exp x))>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (+ 1 x) 1)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt (fmod (- 1 (* -1 x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 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 (fmod (+ 1 x) 1)>
#<alt (+ (* -1 (* x (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (* x (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (* x (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))>
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 x) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 x) 1) x)) (* 1/2 (fmod (+ 1 x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 x) 1) x)) (+ (* 1/2 (fmod (+ 1 x) 1)) (/ (fmod (+ 1 x) 1) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 x) 1) x)) (+ (* 1/2 (fmod (+ 1 x) 1)) (/ (fmod (+ 1 x) 1) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (- 1 (* -1 x)) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (- 1 (* -1 x)) 1) x)) (* 1/2 (fmod (- 1 (* -1 x)) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (- 1 (* -1 x)) 1) x)) (fmod (- 1 (* -1 x)) 1)) x)) (* 1/2 (fmod (- 1 (* -1 x)) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (- 1 (* -1 x)) 1) x)) (fmod (- 1 (* -1 x)) 1)) x)) (* 1/2 (fmod (- 1 (* -1 x)) 1))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))))))>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 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 (* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* (pow x 3) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))))>
#<alt (* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))))))>
#<alt (* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (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 -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<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 1/2>
#<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)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (fmod (+ (* x (+ (* x 1/2) 1)) 1) (+ (* x (* x -1/4)) 1)) (+ (* x (+ (* x 1/2) -1)) 1))
1.0ms	x	@	0	(/ (fmod (+ 1 x) 1) (exp x))
0.0ms	x	@	inf	(* (fmod (+ (* x (+ (* x 1/2) 1)) 1) (+ (* x (* x -1/4)) 1)) (+ (* x (+ (* x 1/2) -1)) 1))
0.0ms	x	@	-inf	(* (fmod (+ (* x (+ (* x 1/2) 1)) 1) (+ (* x (* x -1/4)) 1)) (+ (* x (+ (* x 1/2) -1)) 1))
0.0ms	x	@	-inf	(/ (fmod (+ 1 x) 1) (exp x))

rewrite377.0ms (2.9%)

Memory

-1.0MiB live, 838.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 378×	`lower-fma.f32`
8 362×	`lower-fma.f64`
3 862×	`lower-/.f32`
3 860×	`lower-/.f64`
3 850×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	51	141
1	213	141
2	1671	141
0	8693	141

Stop Event

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

Counts

18 → 571

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(neg.f64 (*.f64 (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #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 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(+.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (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) x) #s(literal 1 binary64)) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) 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 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.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 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (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 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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 (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.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)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.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))) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (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)) (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.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)))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) (-.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (fma.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.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))))) #s(literal 1 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #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 #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 (/.f64 (.f64 (.f64 x x) (*.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #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 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 #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 #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 (/.f64 (.f64 (.f64 x x) (*.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)))) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (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 #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 (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 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.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))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.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 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))))
(.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #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 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.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)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.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))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))))
(.f64 (neg.f64 (fma.f64 (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)) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.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 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))

simplify459.0ms (3.6%)

Memory

21.4MiB live, 654.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 194×	`lower-fma.f64`
12 194×	`lower-fma.f32`
3 710×	`lower-*.f64`
3 710×	`lower-*.f32`
2 412×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	2405
1	728	2264
2	2114	1995
3	7348	1992
0	8314	1756

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

Inputs
(fmod (+ 1 x) 1)
(+ (* -1 (* x (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1)))) (+ (* -1/2 (fmod (+ 1 x) 1)) (* 1/6 (fmod (+ 1 x) 1)))))) (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(/ (fmod (+ 1 x) 1) (exp x))
(/ (fmod (+ 1 x) 1) (exp x))
(/ (fmod (+ 1 x) 1) (exp x))
(/ (fmod (+ 1 x) 1) (exp x))
(/ (fmod (- 1 (* -1 x)) 1) (exp x))
(/ (fmod (- 1 (* -1 x)) 1) (exp x))
(/ (fmod (- 1 (* -1 x)) 1) (exp x))
(/ (fmod (- 1 (* -1 x)) 1) (exp x))
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (+ 1 x) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
(fmod (- 1 (* -1 x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 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)
(fmod (+ 1 x) 1)
(+ (* -1 (* x (fmod (+ 1 x) 1))) (fmod (+ 1 x) 1))
(+ (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (* x (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))
(+ (* x (+ (* -1 (fmod (+ 1 x) 1)) (* 1/2 (* x (fmod (+ 1 x) 1))))) (fmod (+ 1 x) 1))
(* 1/2 (* (pow x 2) (fmod (+ 1 x) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 x) 1) x)) (* 1/2 (fmod (+ 1 x) 1))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 x) 1) x)) (+ (* 1/2 (fmod (+ 1 x) 1)) (/ (fmod (+ 1 x) 1) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 x) 1) x)) (+ (* 1/2 (fmod (+ 1 x) 1)) (/ (fmod (+ 1 x) 1) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (- 1 (* -1 x)) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (- 1 (* -1 x)) 1) x)) (* 1/2 (fmod (- 1 (* -1 x)) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (- 1 (* -1 x)) 1) x)) (fmod (- 1 (* -1 x)) 1)) x)) (* 1/2 (fmod (- 1 (* -1 x)) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (- 1 (* -1 x)) 1) x)) (fmod (- 1 (* -1 x)) 1)) x)) (* 1/2 (fmod (- 1 (* -1 x)) 1))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2)))) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2)))))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) (+ 1 (* -1/4 (pow x 2))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) (- 1 (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) (- 1 (* 1/4 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 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)))))
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) (+ (* 1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) (pow x 3))))))
(* -1/6 (* (pow x 3) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (fmod (exp x) (- 1 (* 1/4 (pow x 2))))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (- 1 (* 1/4 (pow x 2)))) x)) (fmod (exp x) (- 1 (* 1/4 (pow x 2))))) x)) (* 1/2 (fmod (exp x) (- 1 (* 1/4 (pow x 2)))))) x)) (* 1/6 (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))
-1
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/2 x)
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -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)
1/2
(+ 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)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))

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

eval248.0ms (1.9%)

Memory: 14.6MiB live, 316.6MiB allocated
Compiler: Compiled 33 521 to 2 561 computations (92.4% saved)

prune129.0ms (1%)

Memory

-5.8MiB live, 288.4MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 061	7	1 068
Fresh	3	6	9
Picked	2	3	5
Done	0	1	1
Total	1 066	17	1 083

Accuracy

64.5%

Counts

1 083 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.4%	(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))
	26.3%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	25.7%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	26.8%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
	5.6%	(.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)) (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)))
	5.6%	(.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)) (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)))
	17.1%	(.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))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
✓	17.1%	(.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))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	17.0%	(.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))
	17.8%	(*.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 #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	51.9%	(.f64 (fmod.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) 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)))
	26.6%	(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
	17.0%	(.f64 (fmod.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (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)))
	5.5%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/96 binary64))) x (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	5.4%	(.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))) (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)))
✓	5.4%	(.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)))
✓	5.4%	(.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)))

Compiler

Compiled 832 to 279 computations (66.5% saved)

regimes24.0ms (0.2%)

Memory

9.1MiB live, 44.6MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

(*.f64 (fmod.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) 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) x) #s(literal 1 binary64)) (exp.f64 x))

Calls

2 calls:

13.0ms	x
9.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
62.4%	2	`x`
63.4%	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)

regimes6.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
62.8%	2	`(*.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)

regimes8.0ms (0.1%)

Memory

-20.7MiB live, 18.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
26.8%	1	`x`
26.8%	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)

regimes4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
26.6%	1	`x`
26.6%	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)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #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
26.3%	1	`x`
26.3%	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)

regimes5.0ms (0%)

Memory

-35.3MiB live, 7.6MiB 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:

4.0ms	x
1.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
25.7%	1	`x`
25.7%	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)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0019811838149555367	1.0

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0019811838149555367	1.0

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	111
1	43	111
2	46	111
3	47	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (fmod.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) 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) x) #s(literal 1 binary64)) (exp.f64 x)))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (fmod.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) 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) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (fmod.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) 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) x) #s(literal 1 binary64)) (exp.f64 x)))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (fmod.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) 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 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x)))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (fmod.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) 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) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) (.f64 (fmod.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) 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 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) #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))

soundness1.5s (11.8%)

Memory

27.1MiB live, 887.8MiB allocated

Rules

19 184×	`lower-fma.f64`
19 184×	`lower-fma.f32`
16 130×	`lower-fma.f64`
16 130×	`lower-fma.f32`
13 324×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	1360
1	444	1272
2	1179	1142
3	3760	1135
0	8109	1029
0	23	113
0	45	113
1	114	109
2	629	109
3	5999	109
0	8079	109
0	163	1773
1	440	1628
2	1090	1563
3	2669	1524
4	5059	1524
0	8482	1386
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	230	2405
1	728	2264
2	2114	1995
3	7348	1992
0	8314	1756

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

Compiler

Compiled 440 to 245 computations (44.3% saved)

preprocess46.0ms (0.4%)

Memory: 1.9MiB live, 122.2MiB allocated
Compiler: Compiled 246 to 78 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	23	165
0	45	165
1	73	165
2	124	161
3	160	161
4	170	161
5	179	161
6	228	161
7	294	161
8	302	161
0	302	161

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	23	165
0	45	165
1	73	165
2	124	161
3	160	161
4	170	161
5	179	161
6	228	161
7	294	161
8	302	161
0	302	161

analyze198.0ms (1.5%)

sample4.8s (36.9%)

preprocess18.0ms (0.1%)

explain297.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize84.0ms (0.7%)

series3.0ms (0%)

rewrite78.0ms (0.6%)

simplify383.0ms (3%)

eval13.0ms (0.1%)

prune15.0ms (0.1%)

simplify26.0ms (0.2%)

localize440.0ms (3.4%)

series13.0ms (0.1%)

rewrite340.0ms (2.6%)

simplify495.0ms (3.8%)

eval79.0ms (0.6%)

prune67.0ms (0.5%)

simplify239.0ms (1.9%)

localize124.0ms (1%)

series7.0ms (0.1%)

rewrite338.0ms (2.6%)

simplify515.0ms (4%)

eval192.0ms (1.5%)

prune177.0ms (1.4%)

simplify966.0ms (7.5%)

localize180.0ms (1.4%)

series14.0ms (0.1%)

rewrite377.0ms (2.9%)

simplify459.0ms (3.6%)

eval248.0ms (1.9%)

prune129.0ms (1%)

regimes24.0ms (0.2%)

regimes6.0ms (0%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.5s (11.8%)

preprocess46.0ms (0.4%)

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	23	165
0	45	165
1	73	165
2	124	161
3	160	161
4	170	161
5	179	161
6	228	161
7	294	161
8	302	161
0	302	161