Metrics for Hyperbolic sine

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.7s (16%)

Memory

13.0MiB live, 2 252.7MiB allocated

Samples

629.0ms	1 257×	2	valid
424.0ms	2 552×	1	valid
267.0ms	4 250×	0	valid
114.0ms	197×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-exp: 897.0ms (74.1% of total)

ival-div: 107.0ms (8.8% of total)

ival-sub: 78.0ms (6.4% of total)

ival-neg: 60.0ms (5% of total)

adjust: 55.0ms (4.5% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess41.0ms (0.4%)

Memory

-12.4MiB live, 69.6MiB 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

17.2MiB live, 337.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
132	-	1	(0.01512573066572711)	`(-.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	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	131	1

Confusion

	Predicted +	Predicted -
+	131	1
-	0	124

Precision

1.0

Recall

0.9924242424242424

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	1	0
-	0	0	124

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms	22×	3	valid
37.0ms	90×	2	valid
27.0ms	144×	1	valid
15.0ms	256×	0	valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-exp: 82.0ms (79.4% of total)

ival-div: 6.0ms (5.8% of total)

adjust: 6.0ms (5.8% of total)

ival-sub: 5.0ms (4.8% of total)

ival-neg: 4.0ms (3.9% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.2%)

Memory

3.6MiB live, 40.9MiB 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)

localize63.0ms (0.6%)

Memory

0.6MiB live, 155.6MiB 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	52.3%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

21.0ms	45×	2	valid
17.0ms	72×	1	valid
8.0ms	128×	0	valid
6.0ms	11×	3	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-exp: 31.0ms (77.4% of total)

ival-div: 3.0ms (7.5% of total)

adjust: 2.0ms (5% of total)

ival-neg: 2.0ms (5% of total)

ival-sub: 2.0ms (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

8.2MiB live, 8.2MiB 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
1.0ms	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

1.7MiB live, 272.3MiB 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))

simplify578.0ms (5.5%)

Memory

-2.4MiB live, 759.3MiB 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)

eval133.0ms (1.3%)

Memory: -31.7MiB live, 68.4MiB allocated
Compiler: Compiled 6 324 to 935 computations (85.2% saved)

prune68.0ms (0.6%)

Memory

13.3MiB live, 91.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	349	8	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	8	358

Accuracy

100.0%

Counts

358 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.7%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
	86.3%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
▶	93.3%	(/.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))
▶	52.2%	(/.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))))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
	93.3%	(.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)
▶	54.1%	x

Compiler

Compiled 180 to 106 computations (41.1% saved)

simplify186.0ms (1.8%)

Memory

-10.5MiB live, 189.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
✓	cost-diff	1408	(/.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))))
✓	cost-diff	13760	(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(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))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(/.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))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(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	0	(sinh.f64 x)

Rules

3 112×	`-lowering-.f32`
3 112×	`-lowering-.f64`
2 448×	`accelerator-lowering-fma.f32`
2 448×	`accelerator-lowering-fma.f64`
1 880×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	167
1	101	159
2	359	157
3	1078	157
4	5632	157
5	6036	157
6	7359	157
0	8125	141

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sinh x)
x
x
(+ (* (* 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) 1/2520) 1/60)) 1/3)) 2)) 2)
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)
(* x x)
(+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)
(+ (* (* x x) 1/2520) 1/60)
1/2520
1/60
1/3
2
(/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))
1
(/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))
(* 2 (cosh x))
2
(cosh x)
x
(* (* 2 (cosh x)) (sinh x))
(sinh x)

Outputs
(sinh x)
(sinh.f64 x)
x
x
(+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) 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) 1/2520) 1/60)) 1/3)) 2)) 2)
(.f64 x (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 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))
(* x x)
(*.f64 x x)
(+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(+ (* (* x x) 1/2520) 1/60)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
1/2520
#s(literal 1/2520 binary64)
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))
(sinh.f64 x)
1
#s(literal 1 binary64)
(/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))
(/.f64 #s(literal 1 binary64) (sinh.f64 x))
(* 2 (cosh x))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
2
#s(literal 2 binary64)
(cosh x)
(cosh.f64 x)
x
(* (* 2 (cosh x)) (sinh x))
(.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(sinh x)
(sinh.f64 x)

localize261.0ms (2.5%)

Memory

13.8MiB live, 169.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	99.9%	(/.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))))
✓	accuracy	98.8%	(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)))
✓	accuracy	100.0%	(/.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))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.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)))
✓	accuracy	100.0%	(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))
✓	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	100.0%	(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%	(sinh.f64 x)

Samples

149.0ms	137×	0	valid
76.0ms	118×	2	exit
2.0ms	1×	5	exit

Compiler

Compiled 165 to 31 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 138.0ms (67.4% of total)

const: 37.0ms (18.1% of total)

adjust: 10.0ms (4.9% of total)

ival-add: 9.0ms (4.4% of total)

ival-div: 5.0ms (2.4% of total)

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

ival-sinh: 2.0ms (1% of total)

exact: 0.0ms (0% of total)

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

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

series126.0ms (1.2%)

Memory

-6.9MiB live, 30.2MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (sinh x)>
#<alt (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)>
#<alt (* x x)>
#<alt (* x (+ (* x (* x 1/120)) 1/6))>
#<alt (+ (* x (* x 1/120)) 1/6)>
#<alt (/ (* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)) 2)>
#<alt (* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))>
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)>
#<alt (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))>
#<alt (/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))>
#<alt (* 2 (cosh x))>
#<alt (cosh x)>
#<alt (* x 1/120)>
#<alt (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)>
#<alt (* (* 2 (cosh x)) (sinh 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) (/ 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 (* (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 (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 (* 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 (* 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 (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp 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 (* (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 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt (+ (exp x) (/ 1 (exp x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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 (* 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 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))
1.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(* 2 (cosh x))
1.0ms	x	@	inf	(* (* 2 (cosh x)) (sinh x))
1.0ms	x	@	inf	(sinh x)

rewrite873.0ms (8.3%)

Memory

9.6MiB live, 525.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 384×	`-lowering-.f32`
5 384×	`-lowering-.f64`
4 586×	`/-lowering-/.f32`
4 586×	`/-lowering-/.f64`
2 990×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	142
1	194	132
2	1520	132
0	8143	117

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 797

Calls

Call 1

Inputs
(sinh x)
(+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x)
(* x x)
(* x (+ (* x (* x 1/120)) 1/6))
(+ (* x (* x 1/120)) 1/6)
(/ (* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)) 2)
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)
(/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x)))
(/ 1 (/ (* 2 (cosh x)) (* (* 2 (cosh x)) (sinh x))))
(* 2 (cosh x))
(cosh x)
(* x 1/120)
(+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)
(* (* 2 (cosh x)) (sinh x))

Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (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 (/.f64 #s(literal 0 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))) (/.f64 (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (cosh.f64 x) #s(literal -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)))
(neg.f64 (*.f64 #s(literal -1 binary64) (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(/.f64 (cosh.f64 x) (/.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) #s(literal 4 binary64))))
(/.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 (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal -2 binary64))) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (neg.f64 (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal -2 binary64)))) (neg.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) (cosh.f64 x))) (neg.f64 (cosh.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 #s(literal 2 binary64) (cosh.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 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (sinh.f64 x)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (sinh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.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)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) #s(literal 4 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))))) (.f64 (cosh.f64 x) #s(literal -2 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))))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (sinh.f64 x)))) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
(*.f64 (cosh.f64 x) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sinh.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (neg.f64 (cosh.f64 x))))
(.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (.f64 (sinh.f64 x) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) (cosh.f64 x))) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64))) #s(literal 4 binary64)))
(.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(.f64 (/.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) (cosh.f64 x))
(.f64 (.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 x)))
(.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (cosh.f64 x))))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))) (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) (cosh.f64 x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (/.f64 (neg.f64 (sinh.f64 x)) (cosh.f64 x)))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(.f64 (/.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (/.f64 (.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sinh.f64 x) #s(literal -1 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (sinh.f64 x) #s(literal -2 binary64)) (/.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) (cosh.f64 x)))
(.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))) (/.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (cosh.f64 x))) (/.f64 (neg.f64 (.f64 (sinh.f64 x) (cosh.f64 x))) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (/.f64 (neg.f64 (sinh.f64 x)) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x))) (/.f64 (neg.f64 (sinh.f64 x)) #s(literal 2 binary64)))
(.f64 (/.f64 (neg.f64 (sinh.f64 x)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 (cosh.f64 x))))
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/60 binary64))) (.f64 x (.f64 x #s(literal 1/60 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
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(.f64 (neg.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x))))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) (exp.f64 (+.f64 x (neg.f64 x))))) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))
(.f64 (.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))

simplify361.0ms (3.4%)

Memory

25.5MiB live, 731.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 474×	`accelerator-lowering-fma.f32`
12 474×	`accelerator-lowering-fma.f64`
4 606×	`+-lowering-+.f64`
4 606×	`+-lowering-+.f32`
4 098×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1686
1	637	1662
2	1735	1650
3	4064	1646
0	8438	1558

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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 (* (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)))
(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)
(* 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)))))))
(* 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))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp 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 (* (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))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
(+ (exp x) (/ 1 (exp x)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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))))
(* 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)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/120 (pow x 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 1/120 (pow x 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x 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 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 (* 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 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (*.f64 x #s(literal 1/120 binary64)) #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 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.f64 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 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.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 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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 (.f64 x x) (.f64 x x)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 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 (.f64 x x) (fma.f64 x (*.f64 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)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(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))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -31/15120 binary64) #s(literal 7/360 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.f64 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))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 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))))
(* 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))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(* 1/2520 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 4/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 4/15 binary64)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 8/315 binary64) #s(literal 4/15 binary64)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))

eval198.0ms (1.9%)

Memory: -19.6MiB live, 429.1MiB allocated
Compiler: Compiled 31 255 to 3 126 computations (90% saved)

prune285.0ms (2.7%)

Memory

-33.4MiB live, 385.7MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 204	18	1 222
Fresh	0	3	3
Picked	3	2	5
Done	0	0	0
Total	1 207	23	1 230

Accuracy

100.0%

Counts

1 230 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
	57.5%	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
	91.7%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
▶	91.7%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
	91.2%	(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) x)
	86.3%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
	91.2%	(fma.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x)
	91.7%	(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
▶	86.3%	(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
	93.3%	(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	93.3%	(/.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	65.6%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (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))
	93.3%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
▶	92.8%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	93.3%	(/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	93.3%	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
	93.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
	93.3%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	93.3%	(.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)
✓	54.1%	x

Compiler

Compiled 811 to 459 computations (43.4% saved)

simplify392.0ms (3.7%)

Memory

14.4MiB live, 521.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) x)
✓	cost-diff	768	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sinh.f64 x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))

Rules

13 420×	`accelerator-lowering-fma.f32`
13 420×	`accelerator-lowering-fma.f64`
4 486×	`-lowering-.f32`
4 486×	`-lowering-.f64`
2 096×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	269
1	127	269
2	434	245
3	899	237
4	1423	235
5	2663	233
6	4054	233
7	4922	233
8	6559	233
0	8372	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 1 (sinh x)))
1
(/ 1 (sinh x))
(sinh x)
x
(+ (* x (* x (* x 1/6))) x)
x
(* x (* x 1/6))
(* 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)
1/120
1/6
(/ (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)) 2)
(* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2))
x
(+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)
(* x x)
(* (* x x) (* (* x x) 1/2520))
(* (* x x) 1/2520)
1/2520
2
(/ (* 1 x) (* (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) 2))
(* 1 x)
1
x
(* (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) 2)
(/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2))
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)
(* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
(+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)
(* x x)
(+ (* x (* x 1/2520)) 1/60)
(* x 1/2520)
1/2520
1/60
1/3
2

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

localize184.0ms (1.7%)

Memory

36.0MiB live, 392.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/2520 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (sinh.f64 x))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))

Samples

82.0ms	118×	2	exit
49.0ms	137×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 258 to 41 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 38.0ms (37% of total)

const: 19.0ms (18.5% of total)

ival-div: 15.0ms (14.6% of total)

adjust: 15.0ms (14.6% of total)

ival-add: 13.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

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

series18.0ms (0.2%)

Memory

-11.0MiB live, 28.5MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (sinh x)))>
#<alt (/ 1 (sinh x))>
#<alt (sinh x)>
#<alt (+ (* x (* x (* x 1/6))) x)>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x)>
#<alt (* x x)>
#<alt (* x (+ (* (* x x) 1/120) 1/6))>
#<alt (+ (* (* x x) 1/120) 1/6)>
#<alt (/ (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)) 2)>
#<alt (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2))>
#<alt (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)>
#<alt (/ (* 1 x) (* (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) 2))>
#<alt (* 1 x)>
#<alt (* (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) 2)>
#<alt (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2))>
#<alt (* (* x x) (* (* x x) 1/2520))>
#<alt (* (* x x) 1/2520)>
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))>
#<alt (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)>

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 (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp 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 (* (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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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 (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 (* 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 (* 1/5040 (pow x 6))))>
#<alt (* x (+ 1 (* 1/5040 (pow x 6))))>
#<alt (* x (+ 1 (* 1/5040 (pow x 6))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2520 (pow x 6))))>
#<alt (* x (+ 2 (* 1/2520 (pow x 6))))>
#<alt (* x (+ 2 (* 1/2520 (pow x 6))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt 2>
#<alt (+ 2 (* 1/2520 (pow x 6)))>
#<alt (+ 2 (* 1/2520 (pow x 6)))>
#<alt (+ 2 (* 1/2520 (pow x 6)))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))>
#<alt (/ 5040 (pow x 6))>
#<alt (/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 5040 (pow x 6))>
#<alt (/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))>
#<alt (/ 2520 (pow x 6))>
#<alt (/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 2520 (pow x 6))>
#<alt (/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)) 2)
1.0ms	x	@	inf	(/ (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)) 2)
0.0ms	x	@	inf	(/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2))
0.0ms	x	@	0	(* (* x x) (* (* x x) 1/2520))
0.0ms	x	@	inf	(* x (* x 1/6))

rewrite397.0ms (3.8%)

Memory

34.9MiB live, 688.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 750×	`-lowering-.f32`
5 750×	`-lowering-.f64`
4 790×	`accelerator-lowering-fma.f32`
4 790×	`accelerator-lowering-fma.f64`
3 988×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	218
1	255	198
2	1843	186
0	8307	165

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 654

Calls

Call 1

Inputs
(/ 1 (/ 1 (sinh x)))
(/ 1 (sinh x))
(sinh x)
(+ (* x (* x (* x 1/6))) x)
(* x (* x 1/6))
(* x 1/6)
(+ (* (* x x) (* x (+ (* (* x x) 1/120) 1/6))) x)
(* x x)
(* x (+ (* (* x x) 1/120) 1/6))
(+ (* (* x x) 1/120) 1/6)
(/ (* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)) 2)
(* x (+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2))
(+ (* (* x x) (* (* x x) (* (* x x) 1/2520))) 2)
(/ (* 1 x) (* (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) 2))
(* 1 x)
(* (/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)) 2)
(/ 1 (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2))
(* (* x x) (* (* x x) 1/2520))
(* (* x x) 1/2520)
(* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
(+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)

Outputs
(exp.f64 (log.f64 (sinh.f64 x)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(/.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) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.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 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (sinh.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (sinh.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(exp.f64 (log.f64 (sinh.f64 x)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(/.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) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.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 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64)) (-.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64)) (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal 1 binary64) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64)) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (.f64 x (*.f64 x x))))))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))) #s(literal 1/27 binary64)) (-.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 6 binary64)) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (+.f64 #s(literal 1/81 binary64) (.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal 1/9 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/60 binary64)) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))

simplify544.0ms (5.2%)

Memory

-57.4MiB live, 690.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 044×	`accelerator-lowering-fma.f32`
13 044×	`accelerator-lowering-fma.f64`
4 044×	`-lowering-.f32`
4 044×	`-lowering-.f64`
3 284×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	2006
1	571	1964
2	1412	1939
3	3671	1930
4	7456	1930
0	8145	1818

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp 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 (* (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))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (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)))
(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)
(* 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 (* 1/5040 (pow x 6))))
(* x (+ 1 (* 1/5040 (pow x 6))))
(* x (+ 1 (* 1/5040 (pow x 6))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* 2 x)
(* x (+ 2 (* 1/2520 (pow x 6))))
(* x (+ 2 (* 1/2520 (pow x 6))))
(* x (+ 2 (* 1/2520 (pow x 6))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
2
(+ 2 (* 1/2520 (pow x 6)))
(+ 2 (* 1/2520 (pow x 6)))
(+ 2 (* 1/2520 (pow x 6)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (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)))))))
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(/ 5040 (pow x 6))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
(/ 5040 (pow x 6))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
1/2
(+ 1/2 (* -1/12 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))
(/ 2520 (pow x 6))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(/ 2520 (pow x 6))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.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))) 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))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.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))) 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 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 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))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/120 (pow x 5))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/120 (pow x 5))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x 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))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x 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))))
(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))
(* 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 (* 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 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (*.f64 x #s(literal 1/120 binary64)) #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 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/5040 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* x (+ 1 (* 1/5040 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* x (+ 1 (* 1/5040 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 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 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 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 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2520 (pow x 6))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* x (+ 2 (* 1/2520 (pow x 6))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* x (+ 2 (* 1/2520 (pow x 6))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 1/2520 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(+ 2 (* 1/2520 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(+ 2 (* 1/2520 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 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 x (.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))) 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 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.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))))
(* -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))))))
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ 5040 (pow x 6))
(/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (.f64 x x))) (/.f64 #s(literal 4656960 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 4656960 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (.f64 x x))) (/.f64 #s(literal -43182720 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(/ 5040 (pow x 6))
(/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (* 211680 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (.f64 x x))) (/.f64 #s(literal 4656960 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 5040 (/ 4656960 (pow x 4))) (+ (* 211680 (/ 1 (pow x 2))) (* 43182720 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 4656960 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (.f64 x x))) (/.f64 #s(literal -43182720 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 7/720 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -31/30240 binary64) #s(literal 7/720 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64))
(/ 2520 (pow x 6))
(/.f64 #s(literal 2520 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (.f64 x x))) (/.f64 #s(literal 2328480 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (.f64 x x))) (/.f64 #s(literal 2328480 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -21591360 binary64) (pow.f64 x #s(literal 12 binary64))))
(/ 2520 (pow x 6))
(/.f64 #s(literal 2520 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (.f64 x x))) (/.f64 #s(literal 2328480 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 21591360 (/ 1 (pow x 6))))) (pow x 6))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (.f64 x x))) (/.f64 #s(literal 2328480 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -21591360 binary64) (pow.f64 x #s(literal 12 binary64))))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 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)))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 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)))
(* 1/2520 (pow x 5))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/2520 (pow x 5))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) x) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(* 1/2520 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/60 binary64)))

eval226.0ms (2.1%)

Memory: 8.7MiB live, 208.8MiB allocated
Compiler: Compiled 32 669 to 2 624 computations (92% saved)

prune331.0ms (3.1%)

Memory

0.9MiB live, 201.6MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	990	16	1 006
Fresh	7	9	16
Picked	3	2	5
Done	0	2	2
Total	1 000	29	1 029

Accuracy

100.0%

Counts

1 029 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
	57.5%	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
	91.7%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)
	86.3%	(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 x) #s(literal 1/120 binary64))) x)
	91.2%	(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) x)
	86.3%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
	86.3%	(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
	91.7%	(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) x)
	93.3%	(fma.f64 x (.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))) x)
✓	86.3%	(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
	92.8%	(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
▶	93.3%	(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	92.8%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/2520 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	93.2%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
	92.8%	(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
	65.6%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (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))
	92.8%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
	93.3%	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
	93.3%	(/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
▶	92.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
	92.8%	(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
▶	93.3%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
▶	37.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	42.9%	(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	100.0%	(sinh.f64 x)
✓	54.1%	x

Compiler

Compiled 937 to 525 computations (44% saved)

simplify353.0ms (3.3%)

Memory

25.8MiB live, 581.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)))))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	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	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))

Rules

16 160×	`accelerator-lowering-fma.f32`
16 160×	`accelerator-lowering-fma.f64`
4 156×	`-lowering-.f32`
4 156×	`-lowering-.f64`
1 910×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	336
1	114	304
2	298	284
3	700	280
4	1603	274
5	3136	268
6	4776	268
7	5683	268
8	6015	268
9	6143	268
10	6161	268
11	7563	268
12	7827	268
0	8023	241

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (* x x)) (* x 2)) 2)
(+ (* (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (* x x)) (* x 2))
(* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
x
(+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)
(* x x)
(+ (* x (* x 1/2520)) 1/60)
(* x 1/2520)
1/2520
1/60
1/3
(* x 2)
2
(* x (* x (* x 1/6)))
x
(* x (* x 1/6))
(* x 1/6)
1/6
(+ (* (* x x) (* x (* (* x x) 1/120))) x)
(* x x)
x
(* x (* (* x x) 1/120))
(* (* x x) 1/120)
1/120
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2) (* x 1/2))
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)
x
(* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
(+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)
(* x x)
(+ (* x (* x 1/2520)) 1/60)
(* x 1/2520)
1/2520
1/60
1/3
2
(* x 1/2)
1/2
(/ 1 (/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2))))
1
(/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)))
2
(* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2))
x
(+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)
(* x x)
(* x (* x (* (* x x) 1/2520)))
(* x (* (* x x) 1/2520))
(* (* x x) 1/2520)
1/2520

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

localize139.0ms (1.3%)

Memory

-15.1MiB live, 345.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)))))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 1/2520 binary64))
✓	accuracy	100.0%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) 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	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))

Samples

81.0ms

256×

valid

Compiler

Compiled 311 to 41 computations (86.8% saved)

Precisions

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

ival-mult: 32.0ms (53.9% of total)

const: 14.0ms (23.6% of total)

ival-add: 8.0ms (13.5% of total)

ival-div: 5.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-9.9MiB live, 27.9MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (/ (+ (* (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (* x x)) (* x 2)) 2)>
#<alt (+ (* (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (* x x)) (* x 2))>
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))>
#<alt (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)>
#<alt (* x (* x (* x 1/6)))>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (+ (* (* x x) (* x (* (* x x) 1/120))) x)>
#<alt (* x x)>
#<alt (* x (* (* x x) 1/120))>
#<alt (* (* x x) 1/120)>
#<alt (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2) (* x 1/2))>
#<alt (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)>
#<alt (/ 1 (/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2))))>
#<alt (/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)))>
#<alt (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2))>
#<alt (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)>
#<alt (+ (* x (* x 1/2520)) 1/60)>
#<alt (* (* x x) 1/2520)>
#<alt (* x (* (* x x) 1/2520))>
#<alt (* x (* x (* (* x x) 1/2520)))>

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 (* 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 (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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 (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 (* 1/120 (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 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 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/5040 (pow x 6))))>
#<alt (* x (+ 1 (* 1/5040 (pow x 6))))>
#<alt (* x (+ 1 (* 1/5040 (pow x 6))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/5040 (pow x 6))) x)>
#<alt (/ (+ 1 (* (pow x 6) (- (* 1/25401600 (pow x 6)) 1/5040))) x)>
#<alt (/ (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1/25401600 (* -1/128024064000 (pow x 6)))) 1/5040))) x)>
#<alt (/ 5040 (pow x 7))>
#<alt (/ (- 5040 (* 25401600 (/ 1 (pow x 6)))) (pow x 7))>
#<alt (/ (- (+ 5040 (/ 128024064000 (pow x 12))) (* 25401600 (/ 1 (pow x 6)))) (pow x 7))>
#<alt (/ (- (+ 5040 (/ 128024064000 (pow x 12))) (+ (* 25401600 (/ 1 (pow x 6))) (* 645241282560000 (/ 1 (pow x 18))))) (pow x 7))>
#<alt (/ 5040 (pow x 7))>
#<alt (* -1 (/ (- (* 25401600 (/ 1 (pow x 6))) 5040) (pow x 7)))>
#<alt (* -1 (/ (- (* 25401600 (/ 1 (pow x 6))) (+ 5040 (/ 128024064000 (pow x 12)))) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 25401600 (/ 1 (pow x 6))) (* 645241282560000 (/ 1 (pow x 18)))) (+ 5040 (/ 128024064000 (pow x 12)))) (pow x 7)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2520 (pow x 6))))>
#<alt (* x (+ 2 (* 1/2520 (pow x 6))))>
#<alt (* x (+ 2 (* 1/2520 (pow x 6))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt 2>
#<alt (+ 2 (* 1/2520 (pow x 6)))>
#<alt (+ 2 (* 1/2520 (pow x 6)))>
#<alt (+ 2 (* 1/2520 (pow x 6)))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* 1/2520 (pow x 4))>

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)))
0.0ms	x	@	inf	(+ (* (* x x) (* x (* (* x x) 1/120))) x)
0.0ms	x	@	0	(/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)))
0.0ms	x	@	-inf	(/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)))
0.0ms	x	@	-inf	(* x (* (* x x) 1/2520))

rewrite422.0ms (4%)

Memory

27.2MiB live, 660.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 906×	`accelerator-lowering-fma.f32`
4 906×	`accelerator-lowering-fma.f64`
4 860×	`-lowering-.f32`
4 860×	`-lowering-.f64`
4 222×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	261
1	212	229
2	1504	207
0	8164	185

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 702

Calls

Call 1

Inputs
(/ (+ (* (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (* x x)) (* x 2)) 2)
(+ (* (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)) (* x x)) (* x 2))
(* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))
(+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3)
(* x (* x (* x 1/6)))
(* x (* x 1/6))
(* x 1/6)
(+ (* (* x x) (* x (* (* x x) 1/120))) x)
(* x x)
(* x (* (* x x) 1/120))
(* (* x x) 1/120)
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2) (* x 1/2))
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/2520)) 1/60)) 1/3))) 2)
(/ 1 (/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2))))
(/ 2 (* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)))
(* x (+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2))
(+ (* (* x x) (* x (* x (* (* x x) 1/2520)))) 2)
(+ (* x (* x 1/2520)) 1/60)
(* (* x x) 1/2520)
(* x (* (* x x) 1/2520))
(* x (* x (* (* x x) 1/2520)))

Outputs
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 (/.f64 (.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)))) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(neg.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 -1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64))) #s(literal 1/10077696000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) (-.f64 #s(literal 1/46656000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/3456649728000000 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (.f64 x x) #s(literal 1/151200 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) #s(literal -1/46656000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal -1/216000 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (.f64 x x) #s(literal 1/151200 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) #s(literal -1/46656000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (+.f64 #s(literal 1/12960000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) #s(literal -1/12960000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (.f64 x x) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)))) (neg.f64 (-.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x #s(literal 1/2520 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) (.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (*.f64 x x) #s(literal 1/151200 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64)) (.f64 (.f64 x x) #s(literal 1/151200 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (*.f64 x x) #s(literal 1/151200 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))
(.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/60 binary64) (.f64 x (*.f64 x #s(literal 1/2520 binary64))))))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/2520 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/2520 binary64)))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x #s(literal 1/2520 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 1/2520 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2520 binary64))))
(.f64 #s(literal 1/2520 binary64) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 x (.f64 x #s(literal 1/2520 binary64))) (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))) x)
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64))

simplify359.0ms (3.4%)

Memory

-9.2MiB live, 552.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 002×	`accelerator-lowering-fma.f32`
14 002×	`accelerator-lowering-fma.f64`
4 612×	`-lowering-.f32`
4 612×	`-lowering-.f64`
3 270×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	2034
1	606	2022
2	1527	1991
3	3958	1986
0	8192	1917

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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)))))))
(* 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))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (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))))
(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)
(* 1/120 (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))
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)))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/5040 (pow x 6))))
(* x (+ 1 (* 1/5040 (pow x 6))))
(* x (+ 1 (* 1/5040 (pow x 6))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(/ 1 x)
(/ (+ 1 (* -1/5040 (pow x 6))) x)
(/ (+ 1 (* (pow x 6) (- (* 1/25401600 (pow x 6)) 1/5040))) x)
(/ (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1/25401600 (* -1/128024064000 (pow x 6)))) 1/5040))) x)
(/ 5040 (pow x 7))
(/ (- 5040 (* 25401600 (/ 1 (pow x 6)))) (pow x 7))
(/ (- (+ 5040 (/ 128024064000 (pow x 12))) (* 25401600 (/ 1 (pow x 6)))) (pow x 7))
(/ (- (+ 5040 (/ 128024064000 (pow x 12))) (+ (* 25401600 (/ 1 (pow x 6))) (* 645241282560000 (/ 1 (pow x 18))))) (pow x 7))
(/ 5040 (pow x 7))
(* -1 (/ (- (* 25401600 (/ 1 (pow x 6))) 5040) (pow x 7)))
(* -1 (/ (- (* 25401600 (/ 1 (pow x 6))) (+ 5040 (/ 128024064000 (pow x 12)))) (pow x 7)))
(* -1 (/ (- (+ (* 25401600 (/ 1 (pow x 6))) (* 645241282560000 (/ 1 (pow x 18)))) (+ 5040 (/ 128024064000 (pow x 12)))) (pow x 7)))
(* 2 x)
(* x (+ 2 (* 1/2520 (pow x 6))))
(* x (+ 2 (* 1/2520 (pow x 6))))
(* x (+ 2 (* 1/2520 (pow x 6))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
2
(+ 2 (* 1/2520 (pow x 6)))
(+ 2 (* 1/2520 (pow x 6)))
(+ 2 (* 1/2520 (pow x 6)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))
(* 1/2520 (pow x 4))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x 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 (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)) (.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 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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))))))
(* 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 (.f64 x x) (fma.f64 x (*.f64 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)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 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)))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 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)))
(* 1/2520 (pow x 5))
(.f64 (.f64 x x) (.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x))))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* 1/2520 (pow x 5))
(.f64 (.f64 x x) (.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x))))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 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))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/120 (pow x 4))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))) x)
(* x (+ 1 (* 1/120 (pow x 4))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))) x)
(* x (+ 1 (* 1/120 (pow x 4))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 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))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 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))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 5) (+ 1/120 (/ 1 (pow x 4))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.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)
(* 1/120 (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 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x 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 (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)) (.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 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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))))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(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))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/5040 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* x (+ 1 (* 1/5040 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) x)
(* x (+ 1 (* 1/5040 (pow x 6))))
(fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 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 (pow x 6))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/5040 (/ 1 (pow x 6))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/5040 (pow x 6))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 6) (- (* 1/25401600 (pow x 6)) 1/5040))) x)
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64) #s(literal 1 binary64))) x)
(/ (+ 1 (* (pow x 6) (- (* (pow x 6) (+ 1/25401600 (* -1/128024064000 (pow x 6)))) 1/5040))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/25401600 binary64)) (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) x)
(/ 5040 (pow x 7))
(/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- 5040 (* 25401600 (/ 1 (pow x 6)))) (pow x 7))
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -25401600 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 5040 (/ 128024064000 (pow x 12))) (* 25401600 (/ 1 (pow x 6)))) (pow x 7))
(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 128024064000 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal -25401600 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 5040 (/ 128024064000 (pow x 12))) (+ (* 25401600 (/ 1 (pow x 6))) (* 645241282560000 (/ 1 (pow x 18))))) (pow x 7))
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -25401600 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 128024064000 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 645241282560000 binary64) (pow.f64 x #s(literal 18 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/ 5040 (pow x 7))
(/.f64 #s(literal 5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 25401600 (/ 1 (pow x 6))) 5040) (pow x 7)))
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -25401600 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 25401600 (/ 1 (pow x 6))) (+ 5040 (/ 128024064000 (pow x 12)))) (pow x 7)))
(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 128024064000 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal -25401600 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ (* 25401600 (/ 1 (pow x 6))) (* 645241282560000 (/ 1 (pow x 18)))) (+ 5040 (/ 128024064000 (pow x 12)))) (pow x 7)))
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -25401600 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 128024064000 binary64) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 645241282560000 binary64) (pow.f64 x #s(literal 18 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2520 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* 1/2520 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (+ 2 (* 1/2520 (pow x 6))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64) (*.f64 x #s(literal 2 binary64)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 1/2520 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(+ 2 (* 1/2520 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(+ 2 (* 1/2520 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
(* (pow x 6) (+ 1/2520 (* 2 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) #s(literal 2 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 3))
(.f64 #s(literal 1/2520 binary64) (.f64 x (*.f64 x x)))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))))

eval247.0ms (2.3%)

Memory: 2.7MiB live, 317.8MiB allocated
Compiler: Compiled 52 237 to 3 005 computations (94.2% saved)

prune142.0ms (1.3%)

Memory

20.7MiB live, 300.0MiB allocated

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	1 221	18	1 239
Fresh	7	13	20
Picked	2	3	5
Done	0	4	4
Total	1 230	38	1 268

Accuracy

100.0%

Counts

1 268 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
	57.5%	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
	91.2%	(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal 1/120 binary64) x)
	91.2%	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) x x)
✓	91.2%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))) x)
	86.3%	(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
	91.7%	(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) x)
	91.2%	(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x x)) x)
	93.3%	(fma.f64 x (.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))) x)
✓	86.3%	(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
	92.8%	(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	93.3%	(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	93.3%	(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	92.8%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/2520 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	31.1%	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (*.f64 x x)) (neg.f64 x)))
	92.8%	(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
	65.6%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (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))
	92.8%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
	92.8%	(/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))) #s(literal 2 binary64))))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
✓	92.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
	93.3%	(.f64 (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)) (*.f64 x #s(literal 1/2 binary64)))
	92.8%	(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	93.3%	(.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x (.f64 x x)) (.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
	65.6%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	65.6%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
	66.0%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x #s(literal 1/2520 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
	66.0%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x #s(literal 1/2520 binary64)))) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
	65.6%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	93.0%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
	92.8%	(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	37.9%	(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
	37.9%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
	37.9%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
	42.9%	(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	100.0%	(sinh.f64 x)
✓	54.1%	x

Compiler

Compiled 1 826 to 638 computations (65.1% saved)

regimes46.0ms (0.4%)

Memory

-4.1MiB live, 74.1MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x 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 x (.f64 x #s(literal 1/120 binary64)))) 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 x (.f64 x #s(literal 1/120 binary64))))) x x)
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal 1/120 binary64) x)
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x 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)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 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 x (.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))) x)
(fma.f64 (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)) (.f64 x (.f64 x x)) x)
(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (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)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x (.f64 x x)) (.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(/.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 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/2520 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))) #s(literal 2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 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 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x #s(literal 1/2520 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x #s(literal 1/2520 binary64)))) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (*.f64 x x)) (neg.f64 x)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.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))))

Outputs
(sinh.f64 x)

Calls

3 calls:

15.0ms	x
14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
12.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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)

regimes41.0ms (0.4%)

Memory

-10.5MiB live, 66.7MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x 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 x (.f64 x #s(literal 1/120 binary64)))) 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 x (.f64 x #s(literal 1/120 binary64))))) x x)
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) #s(literal 1/120 binary64) x)
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x 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)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 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 x (.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))) x)
(fma.f64 (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)) (.f64 x (.f64 x x)) x)
(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (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)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x #s(literal 1/2520 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x (.f64 x x)) (.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(/.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 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/2520 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))) #s(literal 2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 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 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x #s(literal 1/2520 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x #s(literal 1/2520 binary64)))) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64))))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))) x)
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (*.f64 x x)) (neg.f64 x)))

Outputs
(fma.f64 x (.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))) x)

Calls

3 calls:

15.0ms	x
12.0ms	(-.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
93.3%	1	`x`
93.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
93.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory

-11.7MiB live, 26.8MiB allocated

Counts

22 → 1

Calls

Call 1

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

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:

7.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
93.3%	1	`x`
93.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
93.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) 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
91.7%	1	`x`
91.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory

-33.2MiB live, 22.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
4.0ms	(/.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
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)

regimes9.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	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
91.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.5%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

-24.7MiB live, 14.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
86.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
86.3%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

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
86.1%	2	`x`
86.1%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
86.1%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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
54.1%	1	`x`
54.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
54.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch13.0ms (0.1%)

Memory

-23.0MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.1610124858064176	9.452729735279597

Samples

6.0ms

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 (47.6% of total)

ival-sub: 1.0ms (23.8% of total)

ival-div: 1.0ms (23.8% 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

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3234181936890559	12742.902502520154

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify9.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-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	40	112
1	63	112
2	68	112
3	71	112
4	72	112

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(fma.f64 x (.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))) 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 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x x)) x)
(if (<=.f64 x #s(literal 5 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x

Outputs
(sinh.f64 x)
(fma.f64 x (.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))) 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 x (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/120 binary64)))) x)
(if (<=.f64 x #s(literal 5 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 5 binary64)) (fma.f64 x (.f64 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 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) x (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x

soundness1.3s (12.1%)

Memory

20.1MiB live, 688.8MiB allocated

Rules

18 510×	`accelerator-lowering-fma.f32`
18 510×	`accelerator-lowering-fma.f64`
13 044×	`accelerator-lowering-fma.f32`
13 044×	`accelerator-lowering-fma.f64`
12 474×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	195	2006
1	571	1964
2	1412	1939
3	3671	1930
4	7456	1930
0	8145	1818
0	29	142
1	194	132
2	1520	132
0	8143	117
0	7	17
1	42	13
2	289	13
0	3069	13
0	204	1686
1	637	1662
2	1735	1650
3	4064	1646
0	8438	1558
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	39	261
1	212	229
2	1504	207
0	8164	185

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

Compiler

Compiled 313 to 154 computations (50.8% saved)

preprocess111.0ms (1.1%)

Memory: 24.0MiB live, 135.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 262 to 106 computations (59.5% 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	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

analyze0.0ms (0%)

sample1.7s (16%)

preprocess41.0ms (0.4%)

explain183.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.2%)

localize63.0ms (0.6%)

series3.0ms (0%)

rewrite149.0ms (1.4%)

simplify578.0ms (5.5%)

eval133.0ms (1.3%)

prune68.0ms (0.6%)

simplify186.0ms (1.8%)

localize261.0ms (2.5%)

series126.0ms (1.2%)

rewrite873.0ms (8.3%)

simplify361.0ms (3.4%)

eval198.0ms (1.9%)

prune285.0ms (2.7%)

simplify392.0ms (3.7%)

localize184.0ms (1.7%)

series18.0ms (0.2%)

rewrite397.0ms (3.8%)

simplify544.0ms (5.2%)

eval226.0ms (2.1%)

prune331.0ms (3.1%)

simplify353.0ms (3.3%)

localize139.0ms (1.3%)

series13.0ms (0.1%)

rewrite422.0ms (4%)

simplify359.0ms (3.4%)

eval247.0ms (2.3%)

prune142.0ms (1.3%)

regimes46.0ms (0.4%)

regimes41.0ms (0.4%)

regimes18.0ms (0.2%)

regimes16.0ms (0.2%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.3s (12.1%)

preprocess111.0ms (1.1%)

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