Metrics for Hyperbolic sine

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 9 computations (10% saved)

sample2.2s (20.7%)

Memory

40.2MiB live, 1 603.7MiB allocated

Samples

753.0ms	2 412×	1	valid
494.0ms	1 281×	2	valid
424.0ms	4 368×	0	valid
91.0ms	195×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-exp: 917.0ms (67.3% of total)

ival-sub: 242.0ms (17.8% of total)

ival-div: 91.0ms (6.7% of total)

adjust: 56.0ms (4.1% of total)

ival-neg: 44.0ms (3.2% of total)

exact: 5.0ms (0.4% of total)

ival-true: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess44.0ms (0.4%)

Memory

6.5MiB live, 87.9MiB allocated

Algorithm

1×	egg-herbie

Rules

276×	`accelerator-lowering-fma.f32`
276×	`accelerator-lowering-fma.f64`
180×	`-lowering-.f32`
180×	`-lowering-.f64`
88×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
1	18	8
2	35	8
3	62	8
4	104	8
5	163	8
6	222	8
7	341	8
8	403	8
9	412	8
0	412	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) (exp (neg x))) 2)

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

Symmetry

(negabs x)

explain183.0ms (1.7%)

Memory

-44.9MiB live, 314.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
116	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	0	-	-	`(exp.f64 x)`
0	2	(695.4970400742973)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	116	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	116	0
-	2	138

Precision

0.9830508474576272

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	0
-	2	1	137

Precision?

0.9747899159663865

Recall?

1.0

Freqs

test

number	freq
0	138
1	118

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	148×	1	valid
21.0ms	62×	2	valid
20.0ms	292×	0	valid
5.0ms	10×	3	valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-exp: 36.0ms (61.1% of total)

ival-neg: 9.0ms (15.3% of total)

ival-div: 6.0ms (10.2% of total)

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

adjust: 3.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify20.0ms (0.2%)

Memory

16.9MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	384	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Rules

276×	`accelerator-lowering-fma.f32`
276×	`accelerator-lowering-fma.f64`
180×	`-lowering-.f32`
180×	`-lowering-.f64`
88×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	18	23
2	35	23
3	62	23
4	104	23
5	163	23
6	222	23
7	341	23
8	403	23
9	412	23
0	412	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) (exp (neg x))) 2)
(- (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg x)
2

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

localize48.0ms (0.5%)

Memory

0.3MiB live, 118.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	58.5%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

14.0ms	74×	1	valid
11.0ms	31×	2	valid
9.0ms	146×	0	valid
4.0ms	5×	3	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-exp: 20.0ms (70.7% of total)

ival-div: 3.0ms (10.6% of total)

ival-sub: 2.0ms (7.1% of total)

adjust: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (- (exp x) (exp (neg x))) 2)>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (neg x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 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)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	0	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(- (exp x) (exp (neg x)))

rewrite149.0ms (1.4%)

Memory

-1.6MiB live, 229.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 606×	`/-lowering-/.f32`
1 606×	`/-lowering-/.f64`
1 600×	`-lowering-.f32`
1 600×	`-lowering-.f64`
1 038×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	42	13
2	289	13
0	3069	13

Stop Event

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

Counts

5 → 297

Calls

Call 1

Inputs
(/ (- (exp x) (exp (neg x))) 2)
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(neg x)

Outputs
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 4 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
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(/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (cosh.f64 x)))
(/.f64 (.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 (sinh.f64 x)))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(.f64 #s(literal 4 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (neg.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 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify485.0ms (4.6%)

Memory

25.9MiB live, 724.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 510×	`accelerator-lowering-fma.f32`
18 510×	`accelerator-lowering-fma.f64`
4 440×	`-lowering-.f32`
4 440×	`-lowering-.f64`
2 418×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
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)

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.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 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval86.0ms (0.8%)

Memory: -19.5MiB live, 94.8MiB allocated
Compiler: Compiled 6 324 to 935 computations (85.2% saved)

prune67.0ms (0.6%)

Memory

-4.3MiB live, 95.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	351	6	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	6	358

Accuracy

100.0%

Counts

358 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
▶	85.6%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
	94.6%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
▶	94.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	100.0%	(sinh.f64 x)
▶	48.4%	x

Compiler

Compiled 136 to 78 computations (42.6% saved)

simplify878.0ms (8.3%)

Memory

8.8MiB live, 914.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
✓	cost-diff	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	(sinh.f64 x)

Rules

35 552×	`accelerator-lowering-fma.f32`
35 552×	`accelerator-lowering-fma.f64`
3 744×	`+-lowering-+.f64`
3 744×	`+-lowering-+.f32`
2 884×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
1	85	141
2	221	135
3	570	135
4	1068	135
5	1580	135
6	1680	135
7	1948	135
8	2642	135
9	3389	135
10	4034	135
11	5295	135
12	5974	135
13	7024	135
14	7100	135
15	7127	135
16	7192	135
17	7204	135
18	7208	135
19	7208	135
20	7208	135
0	8656	120

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sinh x)
x
x
(+ (* (* x x) (* x 1/6)) x)
(* x x)
x
(* x 1/6)
1/6
(+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)
(* x x)
x
(* x (+ (* x (* x 1/120)) 1/6))
(+ (* x (* x 1/120)) 1/6)
(* x 1/120)
1/120
1/6
(* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))
x
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)
(* x x)
(+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)
(* x (+ (* x (* x 1/5040)) 1/120))
(+ (* x (* x 1/5040)) 1/120)
(* x 1/5040)
1/5040
1/120
1/6
1

Outputs
(sinh x)
(sinh.f64 x)
x
x
(+ (* (* x x) (* x 1/6)) x)
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x x)
(*.f64 x x)
x
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(* x x)
(*.f64 x x)
x
(* x (+ (* x (* x 1/120)) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+ (* x (* x 1/120)) 1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
(* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
x
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
(+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* x (+ (* x (* x 1/5040)) 1/120))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(+ (* x (* x 1/5040)) 1/120)
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* x 1/5040)
(*.f64 x #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)

localize83.0ms (0.8%)

Memory

-7.0MiB live, 148.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(sinh.f64 x)

Samples

51.0ms

256×

valid

Compiler

Compiled 128 to 27 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 20.0ms (52.4% of total)

const: 9.0ms (23.6% of total)

ival-add: 8.0ms (21% of total)

ival-sinh: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (sinh x)>
#<alt (+ (* (* x x) (* x 1/6)) x)>
#<alt (* x x)>
#<alt (* x 1/6)>
#<alt (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)>
#<alt (* x (+ (* x (* x 1/120)) 1/6))>
#<alt (+ (* x (* x 1/120)) 1/6)>
#<alt (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)>
#<alt (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)>
#<alt (* x 1/120)>
#<alt (* x (+ (* x (* x 1/5040)) 1/120))>
#<alt (+ (* x (* x 1/5040)) 1/120)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))
1.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(sinh x)
0.0ms	x	@	-inf	(+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)
0.0ms	x	@	inf	(+ (* (* x x) (* x 1/6)) x)

rewrite482.0ms (4.5%)

Memory

-9.7MiB live, 641.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 908×	`accelerator-lowering-fma.f32`
8 908×	`accelerator-lowering-fma.f64`
5 224×	`-lowering-.f32`
5 224×	`-lowering-.f64`
3 986×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	120
1	158	114
2	1251	114
0	8249	99

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 427

Calls

Call 1

Inputs
(sinh x)
(+ (* (* x x) (* x 1/6)) x)
(* x x)
(* x 1/6)
(+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)
(* x (+ (* x (* x 1/120)) 1/6))
(+ (* x (* x 1/120)) 1/6)
(* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)
(+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)
(* x 1/120)
(* x (+ (* x (* x 1/5040)) 1/120))
(+ (* x (* x 1/5040)) 1/120)

Outputs
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)
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(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (.f64 (.f64 x x) #s(literal 1/604800 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/16390160963076096000000 binary64)) #s(literal 1/5159780352000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/16390160963076096000000 binary64) (-.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/221225582592000000 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/365783040000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))

simplify408.0ms (3.8%)

Memory

6.0MiB live, 561.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 848×	`accelerator-lowering-fma.f32`
12 848×	`accelerator-lowering-fma.f64`
3 232×	`-lowering-.f32`
3 232×	`-lowering-.f64`
1 960×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1200
1	316	1156
2	845	1154
3	2288	1154
4	5222	1154
0	8513	1049

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))

eval244.0ms (2.3%)

Memory: -19.3MiB live, 229.5MiB allocated
Compiler: Compiled 22 043 to 1 748 computations (92.1% saved)

prune75.0ms (0.7%)

Memory

2.5MiB live, 201.8MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	601	22	623
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	604	25	629

Accuracy

100.0%

Counts

629 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.6%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
	52.6%	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
	85.6%	(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
▶	94.6%	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
	91.2%	(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
	85.6%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
	91.2%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
	90.8%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
✓	85.6%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
▶	90.8%	(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
	48.4%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
	94.6%	(.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	94.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	91.2%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	94.6%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
	51.5%	(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))))
	51.7%	(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
▶	51.4%	(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
	48.2%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
▶	42.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	48.4%	x

Compiler

Compiled 774 to 414 computations (46.5% saved)

simplify47.0ms (0.4%)

Memory

14.1MiB live, 133.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)

Rules

1 752×	`accelerator-lowering-fma.f32`
1 752×	`accelerator-lowering-fma.f64`
614×	`-lowering-.f32`
614×	`-lowering-.f64`
400×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	239
1	111	235
2	317	223
3	605	221
4	881	219
5	983	219
6	983	219
7	983	219
0	983	198

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) x) x)
(* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))
x
(* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))
(+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)
(* x x)
(+ (* (* x x) 1/5040) 1/120)
1/5040
1/120
1/6
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(+ (* (* x x) (* 1/120 (* x (* x x)))) x)
(* x x)
x
(* 1/120 (* x (* x x)))
1/120
(* x (* x x))
(* x (* (* x x) (* x (* 1/5040 (* x (* x x))))))
x
(* (* x x) (* x (* 1/5040 (* x (* x x)))))
(* x x)
(* x (* 1/5040 (* x (* x x))))
(* 1/5040 (* x (* x x)))
1/5040
(* x (* x x))
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
x
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(* x x)
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(* x (+ (* (* x x) 1/5040) 1/120))
(+ (* (* x x) 1/5040) 1/120)
(* (* x x) 1/5040)
1/5040
1/120
1/6
1

Outputs
(+ (* (* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) x) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
x
(* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
(+ (* (* x x) 1/5040) 1/120)
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
1/5040
#s(literal 1/5040 binary64)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
(* 1/6 (* x (* x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* (* x x) (* 1/120 (* x (* x x)))) x)
(fma.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* x x)
(*.f64 x x)
x
(* 1/120 (* x (* x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))
1/120
#s(literal 1/120 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x (* (* x x) (* x (* 1/5040 (* x (* x x))))))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (.f64 x (*.f64 x x))))
x
(* (* x x) (* x (* 1/5040 (* x (* x x)))))
(.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* x x)
(*.f64 x x)
(* x (* 1/5040 (* x (* x x))))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (* x (* x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
x
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* x (+ (* (* x x) 1/5040) 1/120))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(+ (* (* x x) 1/5040) 1/120)
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* (* x x) 1/5040)
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)

localize113.0ms (1.1%)

Memory

18.2MiB live, 244.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))

Samples

57.0ms

256×

valid

Compiler

Compiled 249 to 31 computations (87.6% saved)

Precisions

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

ival-mult: 25.0ms (61.5% of total)

const: 8.0ms (19.7% of total)

ival-add: 6.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.4%)

Memory

-13.9MiB live, 24.6MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (+ (* (* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) x) x)>
#<alt (* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))>
#<alt (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))>
#<alt (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (* (* x x) (* 1/120 (* x (* x x)))) x)>
#<alt (* 1/120 (* x (* x x)))>
#<alt (* x (* (* x x) (* x (* 1/5040 (* x (* x x))))))>
#<alt (* (* x x) (* x (* 1/5040 (* x (* x x)))))>
#<alt (* x (* 1/5040 (* x (* x x))))>
#<alt (+ (* (* x x) 1/5040) 1/120)>
#<alt (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)>
#<alt (+ (* (* x x) 1/5040) 1/120)>
#<alt (* 1/5040 (* x (* x x)))>
#<alt (* (* x x) 1/5040)>
#<alt (* x (+ (* (* x x) 1/5040) 1/120))>
#<alt (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/120 (pow x 4))))>
#<alt (* x (+ 1 (* 1/120 (pow x 4))))>
#<alt (* x (+ 1 (* 1/120 (pow x 4))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>

Calls

60 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(* x (* (* x x) (* x (* 1/5040 (* x (* x x))))))
0.0ms	x	@	inf	(+ (* (* x x) (* 1/120 (* x (* x x)))) x)
0.0ms	x	@	0	(* (* x x) (* x (* 1/5040 (* x (* x x)))))
0.0ms	x	@	-inf	(* x (* (* x x) (* x (* 1/5040 (* x (* x x))))))
0.0ms	x	@	inf	(* x (* (* x x) (* x (* 1/5040 (* x (* x x))))))

rewrite749.0ms (7.1%)

Memory

2.5MiB live, 818.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 626×	`accelerator-lowering-fma.f32`
7 626×	`accelerator-lowering-fma.f64`
5 508×	`-lowering-.f32`
5 508×	`-lowering-.f64`
3 922×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	206
1	186	202
2	1237	188
0	8227	167

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 700

Calls

Call 1

Inputs
(+ (* (* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))) x) x)
(* x (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)))
(* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6))
(+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* (* x x) (* 1/120 (* x (* x x)))) x)
(* 1/120 (* x (* x x)))
(* x (* (* x x) (* x (* 1/5040 (* x (* x x))))))
(* (* x x) (* x (* 1/5040 (* x (* x x)))))
(* x (* 1/5040 (* x (* x x))))
(+ (* (* x x) 1/5040) 1/120)
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(+ (* (* x x) 1/5040) 1/120)
(* 1/5040 (* x (* x x)))
(* (* x x) 1/5040)
(* x (+ (* (* x x) 1/5040) 1/120))
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)

Outputs
(+.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 x)))))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (neg.f64 x)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 9 binary64)) #s(literal 1/10077696 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 6 binary64)) (-.f64 #s(literal 1/46656 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (-.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (neg.f64 x) #s(literal 1/6 binary64))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))

simplify296.0ms (2.8%)

Memory

-6.4MiB live, 584.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 738×	`accelerator-lowering-fma.f32`
10 738×	`accelerator-lowering-fma.f64`
3 142×	`-lowering-.f32`
3 142×	`-lowering-.f64`
1 784×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1818
1	299	1806
2	766	1776
3	2026	1776
4	5071	1776
5	7908	1776
0	8071	1658

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/120 (pow x 4))))
(* x (+ 1 (* 1/120 (pow x 4))))
(* x (+ 1 (* 1/120 (pow x 4))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 5))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 5))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
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(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))

eval147.0ms (1.4%)

Memory: 27.4MiB live, 298.0MiB allocated
Compiler: Compiled 41 707 to 2 569 computations (93.8% saved)

prune136.0ms (1.3%)

Memory

-8.3MiB live, 226.5MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 129	15	1 144
Fresh	6	11	17
Picked	2	3	5
Done	1	2	3
Total	1 138	31	1 169

Accuracy

100.0%

Counts

1 169 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.6%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
	52.8%	(fma.f64 (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x x)
▶	90.8%	(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
▶	94.6%	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
	94.4%	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)
	91.2%	(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
▶	94.6%	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x x)
	85.6%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
	85.6%	(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
	91.2%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
✓	90.8%	(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
	48.4%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
	42.8%	(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
	51.4%	(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
	51.4%	(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
▶	42.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	94.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	91.2%	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	94.6%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
▶	51.4%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
	51.7%	(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
	51.4%	(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
	51.4%	(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
	51.5%	(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
	48.2%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	42.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	48.4%	x

Compiler

Compiled 922 to 482 computations (47.7% saved)

simplify47.0ms (0.4%)

Memory

-0.2MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/5040 binary64))
✓	cost-diff	0	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x x)
✓	cost-diff	640	(fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))

Rules

1 752×	`accelerator-lowering-fma.f32`
1 752×	`accelerator-lowering-fma.f64`
614×	`-lowering-.f32`
614×	`-lowering-.f64`
316×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	260
1	122	230
2	308	226
3	504	226
4	713	226
5	918	226
6	930	226
7	930	226
8	930	226
0	930	205

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))) x) x)
(* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))))
x
(* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))
(+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))
(* 1/5040 (* x (* x x)))
1/5040
(* x (* x x))
(* x x)
(+ (* x (* x 1/120)) 1/6)
(* x 1/120)
1/120
1/6
(* (* x x) (* x 1/6))
(* x x)
x
(* x 1/6)
1/6
(+ (* (* x (* (* x x) 1/120)) (* x x)) x)
(* x (* (* x x) 1/120))
x
(* (* x x) 1/120)
(* x x)
1/120
(* x (* (* (* x x) (* (* x x) (* x x))) 1/5040))
x
(* (* (* x x) (* (* x x) (* x x))) 1/5040)
(* (* x x) (* (* x x) (* x x)))
(* x x)
(* (* x x) (* x x))
1/5040
(+ (* (* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) x) x)
(* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)))
x
(* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))
(+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)
(* x x)
(+ (* (* x 1/5040) x) 1/120)
(* x 1/5040)
1/5040
1/120
1/6

Outputs
(+ (* (* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))) x) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
x
(* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/5040 (* x (* x x)))
(.f64 x (.f64 #s(literal 1/5040 binary64) (*.f64 x x)))
1/5040
#s(literal 1/5040 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ (* x (* x 1/120)) 1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
(* (* x x) (* x 1/6))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
x
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ (* (* x (* (* x x) 1/120)) (* x x)) x)
(fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))) x)
(* x (* (* x x) 1/120))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))
x
(* (* x x) 1/120)
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* x x)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
(* x (* (* (* x x) (* (* x x) (* x x))) 1/5040))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
x
(* (* (* x x) (* (* x x) (* x x))) 1/5040)
(.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))))
(* (* x x) (* (* x x) (* x x)))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* x x)
(*.f64 x x)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
1/5040
#s(literal 1/5040 binary64)
(+ (* (* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) x) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
x
(* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
(+ (* (* x 1/5040) x) 1/120)
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(* x 1/5040)
(*.f64 x #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)

localize115.0ms (1.1%)

Memory

-10.0MiB live, 148.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/5040 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))

Samples

68.0ms

256×

valid

Compiler

Compiled 271 to 37 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 33.0ms (67.5% of total)

const: 9.0ms (18.4% of total)

ival-add: 7.0ms (14.3% of total)

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

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

series6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))>
#<alt (+ (* (* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))) x) x)>
#<alt (* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))))>
#<alt (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))>
#<alt (* (* x x) (* x 1/6))>
#<alt (* x x)>
#<alt (* x 1/6)>
#<alt (+ (* (* x (* (* x x) 1/120)) (* x x)) x)>
#<alt (* x (* (* x x) 1/120))>
#<alt (* (* x x) 1/120)>
#<alt (* x (* (* (* x x) (* (* x x) (* x x))) 1/5040))>
#<alt (* (* (* x x) (* (* x x) (* x x))) 1/5040)>
#<alt (* (* x x) (* (* x x) (* x x)))>
#<alt (+ (* (* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) x) x)>
#<alt (* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)))>
#<alt (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))>
#<alt (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)>
#<alt (* x 1/120)>
#<alt (* 1/5040 (* x (* x x)))>
#<alt (+ (* x (* x 1/120)) 1/6)>
#<alt (* (* x x) (* x x))>
#<alt (+ (* (* x 1/5040) x) 1/120)>

Outputs
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/120 (pow x 4))))>
#<alt (* x (+ 1 (* 1/120 (pow x 4))))>
#<alt (* x (+ 1 (* 1/120 (pow x 4))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* 1/5040 (pow x 6))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>

Calls

66 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (* x x) 1/120)
0.0ms	x	@	inf	(+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))
0.0ms	x	@	inf	(* (* x x) (* (* x x) (* x x)))
0.0ms	x	@	inf	(+ (* (* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))) x) x)
0.0ms	x	@	-inf	(+ (* (* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))) x) x)

rewrite417.0ms (3.9%)

Memory

-23.2MiB live, 565.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 080×	`accelerator-lowering-fma.f32`
5 080×	`accelerator-lowering-fma.f64`
5 048×	`-lowering-.f32`
5 048×	`-lowering-.f64`
4 270×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	228
1	205	198
2	1511	194
0	8204	173

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 855

Calls

Call 1

Inputs
(+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))
(+ (* (* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))) x) x)
(* x (* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6))))
(* x (+ (* (* 1/5040 (* x (* x x))) x) (+ (* x (* x 1/120)) 1/6)))
(* (* x x) (* x 1/6))
(* x x)
(* x 1/6)
(+ (* (* x (* (* x x) 1/120)) (* x x)) x)
(* x (* (* x x) 1/120))
(* (* x x) 1/120)
(* x (* (* (* x x) (* (* x x) (* x x))) 1/5040))
(* (* (* x x) (* (* x x) (* x x))) 1/5040)
(* (* x x) (* (* x x) (* x x)))
(+ (* (* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))) x) x)
(* x (* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)))
(* x (+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6))
(+ (* (* x x) (+ (* (* x 1/5040) x) 1/120)) 1/6)
(* x 1/120)
(* 1/5040 (* x (* x x)))
(+ (* x (* x 1/120)) 1/6)
(* (* x x) (* x x))
(+ (* (* x 1/5040) x) 1/120)

Outputs
(+.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(+.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))))) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(+.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))))) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))))
(fma.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/5040 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
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(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) x) x #s(literal 1/120 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 x (.f64 (*.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 x (.f64 (.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 x (.f64 (.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 x (.f64 (*.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 x (.f64 (.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64))) #s(literal 1/5159780352000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) (-.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 x (.f64 (.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 x (.f64 (*.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/128024064000 binary64)) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)))) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #s(literal -1/207360000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 x (.f64 (*.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 x (.f64 (.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 x (.f64 (*.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 x (.f64 (.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (*.f64 x x)))))

simplify299.0ms (2.8%)

Memory

15.6MiB live, 483.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 358×	`accelerator-lowering-fma.f32`
11 358×	`accelerator-lowering-fma.f64`
3 644×	`-lowering-.f32`
3 644×	`-lowering-.f64`
1 528×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1904
1	285	1892
2	731	1870
3	1940	1870
4	4185	1870
5	6527	1870
0	8152	1749

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* 1/120 (pow x 4))))
(* x (+ 1 (* 1/120 (pow x 4))))
(* x (+ 1 (* 1/120 (pow x 4))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 7))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(* 1/5040 (pow x 6))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))

Outputs
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))) #s(literal 1/5040 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
x
(* x (+ 1 (* 1/120 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* 1/120 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* 1/120 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* 1/120 (pow x 5))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* 1/120 (pow x 5))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 x (.f64 x x)) x)
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(pow x 6)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))) #s(literal 1/5040 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* 1/5040 (pow x 6))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* 1/5040 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))

eval171.0ms (1.6%)

Memory: 18.9MiB live, 335.8MiB allocated
Compiler: Compiled 50 138 to 2 477 computations (95.1% saved)

prune190.0ms (1.8%)

Memory

-17.7MiB live, 183.3MiB allocated

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	1 248	4	1 252
Fresh	1	20	21
Picked	0	5	5
Done	1	4	5
Total	1 250	33	1 283

Accuracy

100.0%

Counts

1 283 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.6%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
	52.8%	(fma.f64 (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x x)
✓	90.8%	(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
✓	94.6%	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
	91.2%	(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
✓	94.6%	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x x)
	90.8%	(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
	94.0%	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
	85.6%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
	85.6%	(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
	91.2%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
	94.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)))
	48.4%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
	42.8%	(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
	51.4%	(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
	51.4%	(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
✓	42.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	94.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
	94.6%	(.f64 x (fma.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	91.2%	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	94.6%	(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
✓	51.4%	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
	51.7%	(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
	51.4%	(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
	51.4%	(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
	51.5%	(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
	48.2%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	42.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
	48.2%	(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	100.0%	(sinh.f64 x)
✓	48.4%	x

Compiler

Compiled 1 244 to 449 computations (63.9% saved)

regimes38.0ms (0.4%)

Memory

8.6MiB live, 46.3MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x x)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)))
(fma.f64 (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

14.0ms	x
11.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes36.0ms (0.3%)

Memory

19.6MiB live, 56.6MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) x x)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)))
(fma.f64 (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)

Outputs
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)

Calls

3 calls:

12.0ms	x
12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
94.6%	1	`x`
94.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.3%)

Memory

6.6MiB live, 44.5MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))

Calls

3 calls:

9.0ms	x
9.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
94.6%	1	`x`
94.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes30.0ms (0.3%)

Memory

-23.3MiB live, 39.9MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)

Outputs
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
9.0ms	x
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
94.4%	1	`x`
94.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Memory

11.2MiB live, 48.8MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))

Outputs
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)

Calls

3 calls:

9.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.0%	1	`x`
94.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.2%)

Memory

-31.1MiB live, 47.0MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))))

Outputs

(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)

(*.f64 x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))))

Calls

3 calls:

9.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
94.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
94.5%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.2%)

Memory

1.1MiB live, 44.9MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) x))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)))))
(.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))

Outputs

(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)

(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))

Calls

3 calls:

10.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.5%	2	`x`
94.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
94.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)

Outputs
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)

Calls

3 calls:

6.0ms	x
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.2%	1	`x`
91.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.1%)

Memory

-7.2MiB live, 30.9MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))

Calls

3 calls:

6.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.2%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Memory

-19.1MiB live, 19.6MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 x x) x)

Outputs
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)

Calls

3 calls:

5.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
90.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
90.8%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
90.8%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))

Outputs
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.1%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.1%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.1%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Memory

-12.3MiB live, 26.0MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))

Outputs
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))

Calls

3 calls:

4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.1%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.1%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.1%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)

Outputs
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
85.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
85.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
85.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)

Outputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
85.2%	2	`x`
85.2%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
85.2%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
48.4%	1	`x`
48.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
48.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch13.0ms (0.1%)

Memory

-21.8MiB live, 21.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0678835944892004	24.90910392388634

Samples

6.0ms

112×

valid

Compiler

Compiled 243 to 144 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (50.5% of total)

ival-div: 1.0ms (25.2% of total)

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

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

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5654806681023925	65748580859.56072

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch11.0ms (0.1%)

Memory

13.1MiB live, 13.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0678835944892004	24.90910392388634

Samples

6.0ms

112×

valid

Compiler

Compiled 180 to 109 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (49.5% of total)

ival-div: 1.0ms (24.7% of total)

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

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

exact: 0.0ms (0% of total)

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

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

bsearch12.0ms (0.1%)

Memory

-27.5MiB live, 10.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0678835944892004	24.90910392388634

Samples

8.0ms

112×

valid

Compiler

Compiled 173 to 109 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (49.4% of total)

ival-sub: 1.0ms (24.7% of total)

ival-div: 1.0ms (24.7% of total)

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

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5654806681023925	65748580859.56072

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify11.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	252
1	107	252
2	112	252
3	115	252
4	116	252

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))
(if (<=.f64 x #s(literal 5 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5 binary64)) x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
x

Outputs
(sinh.f64 x)
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal 1/5040 binary64)) x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)))) x x)
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x x)
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x (*.f64 x x))))))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5 binary64)) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(if (<=.f64 x #s(literal 5 binary64)) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5 binary64)) x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
x

soundness2.0s (18.5%)

Memory

-4.5MiB live, 1 264.1MiB allocated

Rules

18 510×	`accelerator-lowering-fma.f32`
18 510×	`accelerator-lowering-fma.f64`
12 848×	`accelerator-lowering-fma.f32`
12 848×	`accelerator-lowering-fma.f64`
11 358×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	1200
1	316	1156
2	845	1154
3	2288	1154
4	5222	1154
0	8513	1049
0	29	206
1	186	202
2	1237	188
0	8227	167
0	7	17
1	42	13
2	289	13
0	3069	13
0	87	1904
1	285	1892
2	731	1870
3	1940	1870
4	4185	1870
5	6527	1870
0	8152	1749
0	89	1818
1	299	1806
2	766	1776
3	2026	1776
4	5071	1776
5	7908	1776
0	8071	1658
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294
0	25	120
1	158	114
2	1251	114
0	8249	99

Stop Event

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

Compiler

Compiled 747 to 352 computations (52.9% saved)

preprocess80.0ms (0.8%)

Memory: 29.3MiB live, 226.3MiB allocated
Remove: (negabs x)
Compiler: Compiled 530 to 156 computations (70.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
1	18	8
2	35	8
3	62	8
4	104	8
5	163	8
6	222	8
7	341	8
8	403	8
9	412	8
0	412	8

Iter	Nodes	Cost
0	7	23
1	18	23
2	35	23
3	62	23
4	104	23
5	163	23
6	222	23
7	341	23
8	403	23
9	412	23
0	412	23

Iter	Nodes	Cost
0	29	239
1	111	235
2	317	223
3	605	221
4	881	219
5	983	219
6	983	219
7	983	219
0	983	198

Iter	Nodes	Cost
0	35	260
1	122	230
2	308	226
3	504	226
4	713	226
5	918	226
6	930	226
7	930	226
8	930	226
0	930	205

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
1	18	8
2	35	8
3	62	8
4	104	8
5	163	8
6	222	8
7	341	8
8	403	8
9	412	8
0	412	8

Iter	Nodes	Cost
0	7	23
1	18	23
2	35	23
3	62	23
4	104	23
5	163	23
6	222	23
7	341	23
8	403	23
9	412	23
0	412	23

Iter	Nodes	Cost
0	29	239
1	111	235
2	317	223
3	605	221
4	881	219
5	983	219
6	983	219
7	983	219
0	983	198

Iter	Nodes	Cost
0	35	260
1	122	230
2	308	226
3	504	226
4	713	226
5	918	226
6	930	226
7	930	226
8	930	226
0	930	205

analyze0.0ms (0%)

sample2.2s (20.7%)

preprocess44.0ms (0.4%)

explain183.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize48.0ms (0.5%)

series3.0ms (0%)

rewrite149.0ms (1.4%)

simplify485.0ms (4.6%)

eval86.0ms (0.8%)

prune67.0ms (0.6%)

simplify878.0ms (8.3%)

localize83.0ms (0.8%)

series11.0ms (0.1%)

rewrite482.0ms (4.5%)

simplify408.0ms (3.8%)

eval244.0ms (2.3%)

prune75.0ms (0.7%)

simplify47.0ms (0.4%)

localize113.0ms (1.1%)

series38.0ms (0.4%)

rewrite749.0ms (7.1%)

simplify296.0ms (2.8%)

eval147.0ms (1.4%)

prune136.0ms (1.3%)

simplify47.0ms (0.4%)

localize115.0ms (1.1%)

series6.0ms (0.1%)

rewrite417.0ms (3.9%)

simplify299.0ms (2.8%)

eval171.0ms (1.6%)

prune190.0ms (1.8%)

regimes38.0ms (0.4%)

regimes36.0ms (0.3%)

regimes27.0ms (0.3%)

regimes30.0ms (0.3%)

regimes25.0ms (0.2%)

regimes24.0ms (0.2%)

regimes24.0ms (0.2%)

regimes17.0ms (0.2%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness2.0s (18.5%)

preprocess80.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
1	18	8
2	35	8
3	62	8
4	104	8
5	163	8
6	222	8
7	341	8
8	403	8
9	412	8
0	412	8

Iter	Nodes	Cost
0	7	23
1	18	23
2	35	23
3	62	23
4	104	23
5	163	23
6	222	23
7	341	23
8	403	23
9	412	23
0	412	23

Iter	Nodes	Cost
0	29	239
1	111	235
2	317	223
3	605	221
4	881	219
5	983	219
6	983	219
7	983	219
0	983	198

Iter	Nodes	Cost
0	35	260
1	122	230
2	308	226
3	504	226
4	713	226
5	918	226
6	930	226
7	930	226
8	930	226
0	930	205