Metrics for expfmod (used to be hard to sample)

analyze183.0ms (1.3%)

Memory

-0.6MiB live, 474.1MiB 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)

sample4.4s (30.9%)

Memory

60.9MiB live, 5 352.3MiB allocated

Samples

1.5s	1 740×	5	exit
1.1s	2 585×	2	valid
700.0ms	3 545×	1	valid
398.0ms	3 285×	0	invalid
262.0ms	2 126×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-cos: 1.2s (35% of total)

ival-fmod: 811.0ms (23.4% of total)

ival-exp: 713.0ms (20.6% of total)

ival-sqrt: 248.0ms (7.2% of total)

adjust: 242.0ms (7% of total)

ival-mult: 156.0ms (4.5% of total)

ival-neg: 65.0ms (1.9% of total)

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

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

Bogosity

preprocess24.0ms (0.2%)

Memory

-6.3MiB live, 29.8MiB allocated

Algorithm

2×	egg-herbie

Rules

32×	`sub-neg`
30×	`times-frac`
28×	`div-sub`
24×	`-lowering-.f32`
24×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain227.0ms (1.6%)

Memory

23.2MiB live, 300.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
188	-	188	(-2.10374652862782e-176)	`(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))`
0	-	0	-	`(sqrt.f64 (cos.f64 x))`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	244
-	0	12

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	244
-	0	0	12

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

86.0ms	162×	2	valid
61.0ms	198×	1	valid
17.0ms	112×	1	exit
4.0ms	40×	0	valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-cos: 35.0ms (24.5% of total)

ival-fmod: 32.0ms (22.4% of total)

ival-exp: 31.0ms (21.7% of total)

ival-sqrt: 25.0ms (17.5% of total)

adjust: 11.0ms (7.7% of total)

ival-mult: 5.0ms (3.5% of total)

ival-neg: 2.0ms (1.4% 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.7%	(*.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)

simplify5.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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×	`-lowering-.f32`
24×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	15	29
2	25	28
3	31	28
4	36	28
5	42	28
6	49	28
7	55	28
8	56	28
0	56	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize153.0ms (1.1%)

Memory

-4.1MiB live, 77.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	30.6%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Samples

99.0ms	99×	1	valid
33.0ms	81×	2	valid
7.0ms	56×	1	exit
2.0ms	20×	0	valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-fmod: 91.0ms (70.1% of total)

ival-exp: 16.0ms (12.3% of total)

ival-cos: 10.0ms (7.7% of total)

adjust: 4.0ms (3.1% of total)

ival-sqrt: 4.0ms (3.1% of total)

ival-mult: 3.0ms (2.3% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 60

Calls

Call 1

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

rewrite72.0ms (0.5%)

Memory

-10.1MiB live, 106.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

612×	`-lowering-.f32`
612×	`-lowering-.f64`
600×	`/-lowering-/.f32`
600×	`/-lowering-/.f64`
252×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	17	22
2	56	22
3	249	22
0	1987	22

Stop Event

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

Counts

5 → 64

Calls

Call 1

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

simplify403.0ms (2.8%)

Memory

-22.6MiB live, 344.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 324×	`accelerator-lowering-fma.f32`
13 324×	`accelerator-lowering-fma.f64`
3 658×	`-lowering-.f32`
3 658×	`-lowering-.f64`
2 382×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval12.0ms (0.1%)

Memory: 15.4MiB live, 15.4MiB allocated
Compiler: Compiled 1 539 to 260 computations (83.1% saved)

prune19.0ms (0.1%)

Memory

-1.1MiB live, 37.6MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	114	10	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	11	125

Accuracy

30.6%

Counts

125 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
	8.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	8.3%	(.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)))
▶	8.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶	8.1%	(.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)))
	8.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	8.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	7.8%	(*.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)))
✓	8.7%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	7.5%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	25.4%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 323 to 220 computations (31.9% saved)

simplify304.0ms (2.1%)

Memory

2.8MiB live, 356.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(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))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	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))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(fma.f64 x (*.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	(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

11 354×	`accelerator-lowering-fma.f32`
11 354×	`accelerator-lowering-fma.f64`
3 234×	`-lowering-.f32`
3 234×	`-lowering-.f64`
1 688×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	267
1	101	267
2	267	263
3	655	263
4	1572	263
5	2284	263
6	3280	263
7	4602	263
8	5485	263
9	7010	263
0	8003	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize428.0ms (3%)

Memory

38.1MiB live, 544.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64)))
✓	accuracy	31.4%	(fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(*.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)))
✓	accuracy	31.4%	(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	100.0%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓	accuracy	31.4%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	31.4%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (cos.f64 x))
✓	accuracy	100.0%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	accuracy	62.1%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))

Samples

157.0ms	99×	2	valid
88.0ms	56×	1	exit
54.0ms	30×	3	valid
54.0ms	63×	1	valid
4.0ms	2×	5	exit
3.0ms	6×	0	valid

Compiler

Compiled 244 to 42 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-fmod: 100.0ms (31.5% of total)

ival-mult: 67.0ms (21.1% of total)

adjust: 66.0ms (20.8% of total)

ival-cos: 25.0ms (7.9% of total)

ival-exp: 22.0ms (6.9% of total)

const: 15.0ms (4.7% of total)

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

ival-sqrt: 5.0ms (1.6% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series18.0ms (0.1%)

Memory

-25.1MiB live, 29.2MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* (fmod (exp x) 1) (exp (neg x)))
1.0ms	x	@	0	(* (fmod (exp x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -19/5760) -1/96))) -1/4)) 1)) (exp (neg x)))
1.0ms	x	@	inf	(* (fmod (exp x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -19/5760) -1/96))) -1/4)) 1)) (exp (neg x)))
1.0ms	x	@	inf	(* (fmod (exp x) (sqrt (cos x))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
0.0ms	x	@	-inf	(* (fmod (exp x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -19/5760) -1/96))) -1/4)) 1)) (exp (neg x)))

rewrite431.0ms (3%)

Memory

3.3MiB live, 473.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 096×	`-lowering-.f32`
5 096×	`-lowering-.f64`
4 352×	`/-lowering-/.f32`
4 352×	`/-lowering-/.f64`
4 330×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	189
1	191	185
2	1467	185
0	8114	165

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 364

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.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))) (exp.f64 x))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (*.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))) (neg.f64 (exp.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))))
(.f64 (.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (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)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.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)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (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))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.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)
(pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (.f64 #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))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(.f64 (.f64 #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 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 x #s(literal -1/4 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 (*.f64 x #s(literal -1/4 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal -1/4 binary64)) (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (*.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/4 binary64))))))
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(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) #s(literal 19/552960 binary64))))))
(.f64 (.f64 x (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) #s(literal 19/552960 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))
(+.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (neg.f64 (/.f64 #s(literal 1/9216 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (/.f64 #s(literal 1/9216 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(-.f64 (/.f64 #s(literal 1/9216 binary64) (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))) (/.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64))
(fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
(fma.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (neg.f64 (/.f64 #s(literal 1/9216 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))))
(fma.f64 (*.f64 x #s(literal -19/5760 binary64)) x #s(literal -1/96 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9216 binary64) (-.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 19/552960 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))) (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)) (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) #s(literal 19/552960 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)) (+.f64 #s(literal 1/9216 binary64) (-.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 19/552960 binary64)))))
(/.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9216 binary64)) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64))) (neg.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) #s(literal 19/552960 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64))) (neg.f64 (+.f64 #s(literal 1/9216 binary64) (-.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 19/552960 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9216 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(/.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) #s(literal 1/9216 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)))) #s(literal -1/692533995824480256 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (-.f64 #s(literal 1/782757789696 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 6859/169075682574336000 binary64)))) (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) #s(literal 19/552960 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) #s(literal -1/782757789696 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal 1/884736 binary64)) (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) #s(literal 19/552960 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64))) #s(literal -1/782757789696 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/84934656 binary64) (.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9216 binary64)))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/84934656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/9216 binary64)) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (.f64 x x) #s(literal 19/552960 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9216 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal -1/96 binary64) (.f64 (.f64 x x) #s(literal -19/5760 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9216 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (/.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (fma.f64 (/.f64 #s(literal 1/9216 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (/.f64 #s(literal 1/9216 binary64) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (.f64 (/.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))) (/.f64 #s(literal 1/9216 binary64) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (*.f64 x x) #s(literal 19/552960 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9216 binary64) (-.f64 (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 19/552960 binary64))))))
(.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -6859/191102976000 binary64)) #s(literal -1/884736 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/9216 binary64) (.f64 (*.f64 x x) #s(literal 19/552960 binary64)))))))
(.f64 (neg.f64 (fma.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/9216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal 1/96 binary64)))))
(.f64 (-.f64 #s(literal 1/9216 binary64) (.f64 #s(literal 361/33177600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/96 binary64) (.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))

simplify372.0ms (2.6%)

Memory

11.0MiB live, 455.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 590×	`accelerator-lowering-fma.f32`
11 590×	`accelerator-lowering-fma.f64`
5 754×	`-lowering-.f32`
5 754×	`-lowering-.f64`
3 092×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	2609
1	780	2394
2	2386	2273
3	5284	2265
0	8364	2086

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

eval94.0ms (0.7%)

Memory: -1.0MiB live, 150.0MiB allocated
Compiler: Compiled 20 605 to 1 770 computations (91.4% saved)

prune86.0ms (0.6%)

Memory

16.0MiB live, 174.3MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	723	18	741
Fresh	1	4	5
Picked	3	2	5
Done	0	1	1
Total	727	25	752

Accuracy

31.4%

Counts

752 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.6%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
	4.2%	(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
	8.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	7.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	8.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) x) x (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.8%	(.f64 (fmod.f64 (exp.f64 x) (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))) (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)))
▶	8.3%	(.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)))
✓	8.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	7.8%	(.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)))
	7.7%	(.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)))
	7.7%	(.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)))
▶	7.4%	(.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))
	1.7%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -19/5760 binary64) (/.f64 (+.f64 #s(literal -1/96 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))) (exp.f64 (neg.f64 x)))
	3.1%	(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))) (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)))
	8.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶	7.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	8.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	8.7%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
	7.2%	(*.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)))
	7.1%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	7.5%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	4.0%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
▶	25.1%	(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 824 to 538 computations (34.7% saved)

simplify928.0ms (6.4%)

Memory

-148.4MiB live, 680.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	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))) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	cost-diff	(neg.f64 x)
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))

Rules

24 824×	`accelerator-lowering-fma.f32`
24 824×	`accelerator-lowering-fma.f64`
3 200×	`-lowering-.f32`
3 200×	`-lowering-.f64`
2 912×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	261
1	107	261
2	270	259
3	572	259
4	1191	259
5	1797	259
6	2804	259
7	4154	259
8	4984	259
9	5764	259
10	6017	259
11	6023	259
12	6039	259
13	6102	259
14	6501	259
15	6838	259
16	6900	259
17	6907	259
18	6907	259
19	7851	259
0	8263	231

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (fmod 1 1) (exp (neg x)))
(fmod 1 1)
1
(exp (neg x))
(neg x)
x
(fmod (exp x) 1)
(exp x)
x
1
(* (fmod (exp x) (+ (* x (* x -1/4)) 1)) (- 1 x))
(fmod (exp x) (+ (* x (* x -1/4)) 1))
(exp x)
x
(+ (* x (* x -1/4)) 1)
(* x -1/4)
-1/4
1
(- 1 x)
(* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
(fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)))
(exp x)
x
(sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))
(+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)
(* x x)
(+ (* x (* x 1/24)) -1/2)
(* x 1/24)
1/24
-1/2
1
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x -1/6) 1/2)
-1/6
1/2
-1
(* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x)))
(fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1))
(exp x)
x
(+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)
(* x x)
(+ (* (* x x) -1/96) -1/4)
-1/96
-1/4
1
(exp (neg x))
(neg x)

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

localize404.0ms (2.8%)

Memory

-17.3MiB live, 411.6MiB allocated

Localize:

Found 18 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	100.0%	(.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	31.0%	(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%	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	31.0%	(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/4 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	31.0%	(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	31.0%	(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%	(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))

Samples

169.0ms	79×	2	valid
100.0ms	96×	1	valid
24.0ms	1×	5	exit
24.0ms	56×	1	exit
8.0ms	20×	0	valid
8.0ms	4×	3	valid

Compiler

Compiled 235 to 44 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-fmod: 142.0ms (47.6% of total)

ival-mult: 49.0ms (16.4% of total)

ival-exp: 45.0ms (15.1% of total)

adjust: 27.0ms (9.1% of total)

ival-add: 14.0ms (4.7% of total)

const: 11.0ms (3.7% of total)

ival-sqrt: 4.0ms (1.3% of total)

ival-sub: 3.0ms (1% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series13.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

17 → 192

Calls

Call 1

Inputs
#<alt (* (fmod 1 1) (exp (neg x)))>
#<alt (fmod 1 1)>
#<alt (exp (neg x))>
#<alt (neg x)>
#<alt (fmod (exp x) 1)>
#<alt (exp x)>
#<alt (* (fmod (exp x) (+ (* x (* x -1/4)) 1)) (- 1 x))>
#<alt (fmod (exp x) (+ (* x (* x -1/4)) 1))>
#<alt (+ (* x (* x -1/4)) 1)>
#<alt (* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))>
#<alt (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)))>
#<alt (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))>
#<alt (* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x)))>
#<alt (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1))>
#<alt (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)>
#<alt (* x -1/4)>
#<alt (* x 1/24)>

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

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)
1.0ms	x	@	inf	(* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
1.0ms	x	@	inf	(sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))
1.0ms	x	@	inf	(* (fmod (exp x) (+ (* x (* x -1/4)) 1)) (- 1 x))
0.0ms	x	@	inf	(* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x)))

rewrite592.0ms (4.1%)

Memory

15.4MiB live, 454.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 578×	`-lowering-.f32`
5 578×	`-lowering-.f64`
4 498×	`accelerator-lowering-fma.f32`
4 498×	`accelerator-lowering-fma.f64`
4 350×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	169
1	215	167
2	1716	167
0	8563	149

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 202

Calls

Call 1

Inputs
(* (fmod 1 1) (exp (neg x)))
(fmod 1 1)
(exp (neg x))
(neg x)
(fmod (exp x) 1)
(exp x)
(* (fmod (exp x) (+ (* x (* x -1/4)) 1)) (- 1 x))
(fmod (exp x) (+ (* x (* x -1/4)) 1))
(+ (* x (* x -1/4)) 1)
(* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
(fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)))
(sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))
(* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x)))
(fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1))
(+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)
(* x -1/4)
(* x 1/24)

Outputs
(/.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 (*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))) (neg.f64 (exp.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))
(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))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (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 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (.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 #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 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (.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) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.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) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.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) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (.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) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 x))) (.f64 (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))))))
(.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(.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))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 x #s(literal -1/4 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 (*.f64 x #s(literal -1/4 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 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))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 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))) (fma.f64 (/.f64 #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))) (/.f64 #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))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 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))) (/.f64 #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)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))))) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #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))))
(*.f64 x #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

simplify420.0ms (2.9%)

Memory

-35.4MiB live, 729.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 004×	`accelerator-lowering-fma.f32`
19 004×	`accelerator-lowering-fma.f64`
5 026×	`-lowering-.f32`
5 026×	`-lowering-.f64`
3 156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	2585
1	637	2285
2	1898	2124
3	5838	2088
0	8402	1901

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval59.0ms (0.4%)

Memory: 6.6MiB live, 78.2MiB allocated
Compiler: Compiled 12 807 to 967 computations (92.4% saved)

prune66.0ms (0.5%)

Memory

28.6MiB live, 151.8MiB allocated

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	472	17	489
Fresh	7	10	17
Picked	3	2	5
Done	0	3	3
Total	482	32	514

Accuracy

50.0%

Counts

514 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.1%	(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))
▶	28.1%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
▶	25.1%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	8.3%	(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
	8.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶	7.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	7.4%	(/.f64 (.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) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
	7.5%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
▶	7.8%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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)))
	19.5%	(.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))
	7.7%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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)))
	7.5%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	8.3%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) x) x (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.8%	(.f64 (fmod.f64 (exp.f64 x) (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))) (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)))
	7.8%	(.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)))
✓	8.3%	(.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)))
✓	8.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	7.7%	(.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)))
	7.7%	(.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)))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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)))
	7.8%	(.f64 (fmod.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	24.2%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 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)))
▶	2.7%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 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)))
	2.7%	(.f64 (fmod.f64 (exp.f64 x) (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))) (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)))
	8.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	7.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	8.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	8.7%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	7.5%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	4.0%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 1 282 to 772 computations (39.8% saved)

simplify445.0ms (3.1%)

Memory

3.6MiB live, 561.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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	(.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64))))
✓	cost-diff	0	(.f64 (fmod.f64 (exp.f64 x) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 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 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(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	(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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	(fmod.f64 #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))

Rules

16 342×	`accelerator-lowering-fma.f32`
16 342×	`accelerator-lowering-fma.f64`
4 258×	`-lowering-.f32`
4 258×	`-lowering-.f64`
1 934×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	279
1	107	279
2	287	279
3	784	279
4	1684	279
5	2253	279
6	3139	279
7	4480	279
8	5723	279
9	6726	279
10	7322	279
11	7332	279
12	7337	279
13	7541	279
14	7993	279
0	8001	240

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(fmod (+ 1 x) 1)
(+ 1 x)
1
x
(fmod 1 1)
1
(* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
(fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)))
(+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)
x
(+ (* x (+ (* x 1/6) 1/2)) 1)
(+ (* x 1/6) 1/2)
1/6
1/2
1
(sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))
(+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)
(* x x)
(+ (* x (* x 1/24)) -1/2)
(* x 1/24)
1/24
-1/2
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x -1/6) 1/2)
-1/6
-1
(* (fmod (exp x) (* (* x x) (sqrt 1/24))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
(fmod (exp x) (* (* x x) (sqrt 1/24)))
(exp x)
x
(* (* x x) (sqrt 1/24))
(* x x)
(sqrt 1/24)
1/24
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x -1/6) 1/2)
-1/6
1/2
-1
1
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
x
1

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

localize411.0ms (2.9%)

Memory

-22.6MiB live, 491.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓	accuracy	31.0%	(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (fmod.f64 (exp.f64 x) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))
✓	accuracy	33.4%	(fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/24 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	31.0%	(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	31.0%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Samples

120.0ms	85×	2	valid
98.0ms	109×	1	valid
24.0ms	56×	1	exit
2.0ms	5×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 242 to 41 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-fmod: 73.0ms (35.3% of total)

ival-mult: 31.0ms (15% of total)

ival-exp: 27.0ms (13.1% of total)

adjust: 26.0ms (12.6% of total)

ival-add: 19.0ms (9.2% of total)

const: 18.0ms (8.7% of total)

ival-sqrt: 8.0ms (3.9% of total)

ival-div: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series11.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

16 → 180

Calls

Call 1

Inputs
#<alt (fmod (+ 1 x) 1)>
#<alt (+ 1 x)>
#<alt (fmod 1 1)>
#<alt (* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))>
#<alt (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)))>
#<alt (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)>
#<alt (+ (* x (+ (* x 1/6) 1/2)) 1)>
#<alt (* (fmod (exp x) (* (* x x) (sqrt 1/24))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))>
#<alt (fmod (exp x) (* (* x x) (sqrt 1/24)))>
#<alt (exp x)>
#<alt (* (* x x) (sqrt 1/24))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (fmod (exp x) 1)>
#<alt (* x 1/24)>
#<alt (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))>
#<alt (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)>

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

Calls

45 calls:

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

rewrite495.0ms (3.4%)

Memory

2.9MiB live, 630.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 812×	`accelerator-lowering-fma.f32`
4 812×	`accelerator-lowering-fma.f64`
4 034×	`/-lowering-/.f32`
4 034×	`/-lowering-/.f64`
3 368×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	184
1	218	184
2	1829	184
0	8385	158

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 344

Calls

Call 1

Inputs
(fmod (+ 1 x) 1)
(+ 1 x)
(fmod 1 1)
(* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
(fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1)))
(+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)
(+ (* x (+ (* x 1/6) 1/2)) 1)
(* (fmod (exp x) (* (* x x) (sqrt 1/24))) (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1))
(fmod (exp x) (* (* x x) (sqrt 1/24)))
(exp x)
(* (* x x) (sqrt 1/24))
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(* x 1/24)
(sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)

Outputs
(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))
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simplify687.0ms (4.8%)

Memory

-17.5MiB live, 751.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 372×	`accelerator-lowering-fma.f32`
17 372×	`accelerator-lowering-fma.f64`
5 390×	`-lowering-.f32`
5 390×	`-lowering-.f64`
4 196×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	2915
1	912	2639
2	3090	2419
0	8234	2195

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval119.0ms (0.8%)

Memory: -0.2MiB live, 166.8MiB allocated
Compiler: Compiled 26 006 to 1 579 computations (93.9% saved)

prune101.0ms (0.7%)

Memory

11.4MiB live, 248.6MiB allocated

Pruning

40 alts after pruning (31 fresh and 9 done)

	Pruned	Kept	Total
New	618	15	633
Fresh	6	16	22
Picked	1	4	5
Done	0	5	5
Total	625	40	665

Accuracy

80.0%

Counts

665 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.1%	(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))
	18.3%	(fmod.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	28.1%	(fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
	18.3%	(fmod.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
	55.7%	(fmod.f64 x #s(literal 1 binary64))
✓	25.1%	(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	28.9%	(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 x))
	8.3%	(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
	8.7%	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓	7.6%	(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
	7.8%	(.f64 (fmod.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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)))
	7.8%	(.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 (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)))
	7.8%	(.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)))
	7.5%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	24.3%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))))) (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)))
	2.8%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))) (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)))
✓	7.8%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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)))
	7.8%	(.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 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)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))
	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 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	19.5%	(.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))
	34.3%	(.f64 (fmod.f64 (fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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)))
	7.5%	(.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
	4.5%	(.f64 (fmod.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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)))
	8.3%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/96 binary64)) x) x (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.8%	(.f64 (fmod.f64 (exp.f64 x) (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))) (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)))
	7.8%	(.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)))
✓	8.3%	(.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)))
✓	8.4%	(.f64 (fmod.f64 (exp.f64 x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
	7.7%	(.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)))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 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)))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))) (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)))
	8.1%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓	7.8%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
	8.3%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
	7.7%	(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	8.7%	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	7.5%	(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
	3.1%	(.f64 (fmod.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 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)))
	4.0%	(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 2 124 to 771 computations (63.7% saved)

regimes38.0ms (0.3%)

Memory

-7.8MiB live, 71.3MiB allocated

Counts

61 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

19.0ms	x
16.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
77.9%	2	`x`
60.7%	3	`(*.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)

regimes28.0ms (0.2%)

Memory

-4.2MiB live, 34.5MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
77.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
58.2%	2	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
59.1%	2	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes6.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
59.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

(*.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))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
59.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
58.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
58.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Memory

-34.8MiB live, 4.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
2.0ms	x

Results

Accuracy	Segments	Branch
55.7%	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`
55.7%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
25.1%	1	`x`
25.1%	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)

bsearch55.0ms (0.4%)

Memory

12.0MiB live, 49.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-8.290811900173788e-162	-6.0247385332353e-171

Samples

47.0ms

144×

valid

Compiler

Compiled 338 to 228 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-exp: 16.0ms (38.1% of total)

ival-mult: 13.0ms (31% of total)

ival-fmod: 6.0ms (14.3% of total)

adjust: 2.0ms (4.8% of total)

ival-cos: 2.0ms (4.8% of total)

ival-sqrt: 2.0ms (4.8% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

bsearch52.0ms (0.4%)

Memory

-7.1MiB live, 66.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-8.290811900173788e-162	-6.0247385332353e-171

Samples

38.0ms

144×

valid

Compiler

Compiled 410 to 264 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-exp: 15.0ms (44.8% of total)

ival-fmod: 10.0ms (29.9% of total)

adjust: 2.0ms (6% of total)

ival-cos: 2.0ms (6% of total)

ival-sqrt: 2.0ms (6% of total)

ival-mult: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

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

bsearch106.0ms (0.7%)

Memory

34.6MiB live, 111.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
102.0ms	-6.925682853426705e-304	5.20457756213366e-308

Samples

97.0ms

144×

valid

Compiler

Compiled 356 to 228 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-sqrt: 47.0ms (51.8% of total)

ival-exp: 22.0ms (24.2% of total)

ival-fmod: 12.0ms (13.2% of total)

adjust: 4.0ms (4.4% of total)

ival-cos: 3.0ms (3.3% of total)

ival-mult: 2.0ms (2.2% of total)

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

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

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

bsearch72.0ms (0.5%)

Memory

-39.2MiB live, 136.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	-6.925682853426705e-304	5.20457756213366e-308

Samples

61.0ms

144×

valid

Compiler

Compiled 284 to 183 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-exp: 28.0ms (50.4% of total)

ival-fmod: 13.0ms (23.4% of total)

adjust: 4.0ms (7.2% of total)

ival-cos: 4.0ms (7.2% of total)

ival-sqrt: 3.0ms (5.4% of total)

ival-mult: 2.0ms (3.6% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

bsearch122.0ms (0.8%)

Memory

7.1MiB live, 124.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
119.0ms	-6.925682853426705e-304	5.20457756213366e-308

Samples

113.0ms

144×

valid

Compiler

Compiled 239 to 156 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-fmod: 47.0ms (45% of total)

ival-exp: 45.0ms (43% of total)

adjust: 4.0ms (3.8% of total)

ival-cos: 3.0ms (2.9% of total)

ival-sqrt: 3.0ms (2.9% of total)

ival-mult: 2.0ms (1.9% of total)

ival-neg: 1.0ms (1% of total)

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

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

bsearch70.0ms (0.5%)

Memory

16.4MiB live, 133.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	-6.925682853426705e-304	5.20457756213366e-308

Samples

58.0ms

144×

valid

Compiler

Compiled 203 to 138 computations (32% saved)

Precisions

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

ival-exp: 26.0ms (49.6% of total)

ival-fmod: 13.0ms (24.8% of total)

adjust: 4.0ms (7.6% of total)

ival-sqrt: 4.0ms (7.6% of total)

ival-cos: 3.0ms (5.7% of total)

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

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

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

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

bsearch74.0ms (0.5%)

Memory

-2.6MiB live, 145.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
70.0ms	-6.925682853426705e-304	5.20457756213366e-308

Samples

65.0ms

144×

valid

Compiler

Compiled 158 to 111 computations (29.7% saved)

Precisions

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

ival-exp: 24.0ms (40.7% of total)

ival-fmod: 19.0ms (32.2% of total)

ival-sqrt: 7.0ms (11.9% of total)

adjust: 4.0ms (6.8% of total)

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

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

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

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

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

bsearch69.0ms (0.5%)

Memory

1.7MiB live, 180.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	-6.925682853426705e-304	5.20457756213366e-308

Samples

61.0ms

144×

valid

Compiler

Compiled 122 to 93 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-exp: 22.0ms (40% of total)

ival-fmod: 12.0ms (21.8% of total)

adjust: 9.0ms (16.4% of total)

ival-cos: 3.0ms (5.5% of total)

ival-sqrt: 3.0ms (5.5% of total)

ival-mult: 3.0ms (5.5% of total)

ival-neg: 2.0ms (3.6% of total)

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

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

simplify15.0ms (0.1%)

Memory

-4.3MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	228
1	88	228
2	98	228
3	111	228
4	124	228
5	130	228
6	133	228
7	134	228

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))))) (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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(if (<=.f64 x #s(literal -785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.f64 (fmod.f64 (exp.f64 x) (.f64 (.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64)))))))) (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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -785125626436223/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.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)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.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)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (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 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.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)) (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))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fmod.f64 x #s(literal 1 binary64)))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness1.5s (10.6%)

Memory

9.8MiB live, 997.1MiB allocated

Rules

19 004×	`accelerator-lowering-fma.f32`
19 004×	`accelerator-lowering-fma.f64`
17 372×	`accelerator-lowering-fma.f32`
17 372×	`accelerator-lowering-fma.f64`
13 324×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	2915
1	912	2639
2	3090	2419
0	8234	2195
0	267	2609
1	780	2394
2	2386	2273
3	5284	2265
0	8364	2086
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	224	2585
1	637	2285
2	1898	2124
3	5838	2088
0	8402	1901

Stop Event

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

Compiler

Compiled 903 to 524 computations (42% saved)

preprocess84.0ms (0.6%)

Memory: -4.5MiB live, 147.4MiB allocated
Compiler: Compiled 480 to 148 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	9

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	9

analyze183.0ms (1.3%)

sample4.4s (30.9%)

preprocess24.0ms (0.2%)

explain227.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize153.0ms (1.1%)

series3.0ms (0%)

rewrite72.0ms (0.5%)

simplify403.0ms (2.8%)

eval12.0ms (0.1%)

prune19.0ms (0.1%)

simplify304.0ms (2.1%)

localize428.0ms (3%)

series18.0ms (0.1%)

rewrite431.0ms (3%)

simplify372.0ms (2.6%)

eval94.0ms (0.7%)

prune86.0ms (0.6%)

simplify928.0ms (6.4%)

localize404.0ms (2.8%)

series13.0ms (0.1%)

rewrite592.0ms (4.1%)

simplify420.0ms (2.9%)

eval59.0ms (0.4%)

prune66.0ms (0.5%)

simplify445.0ms (3.1%)

localize411.0ms (2.9%)

series11.0ms (0.1%)

rewrite495.0ms (3.4%)

simplify687.0ms (4.8%)

eval119.0ms (0.8%)

prune101.0ms (0.7%)

regimes38.0ms (0.3%)

regimes28.0ms (0.2%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

bsearch55.0ms (0.4%)

bsearch52.0ms (0.4%)

bsearch106.0ms (0.7%)

bsearch72.0ms (0.5%)

bsearch122.0ms (0.8%)

bsearch70.0ms (0.5%)

bsearch74.0ms (0.5%)

bsearch69.0ms (0.5%)

simplify15.0ms (0.1%)

soundness1.5s (10.6%)

preprocess84.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	35	31
2	78	30
3	138	30
4	187	30
5	207	30
6	224	30
7	243	30
8	254	30
9	256	30
0	8	10
1	15	10
2	25	9
3	31	9
4	36	9
5	42	9
6	49	9
7	55	9
8	56	9
0	56	9