Metrics for Hyperbolic sine

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.9s (17.7%)

Memory

13.7MiB live, 1 980.0MiB allocated

Samples

655.0ms	1 294×	2	valid
571.0ms	2 402×	1	valid
215.0ms	4 325×	0	valid
154.0ms	235×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 1.0s (77.1% of total)

ival-div: 102.0ms (7.7% of total)

ival-sub: 82.0ms (6.2% of total)

ival-neg: 61.0ms (4.6% of total)

adjust: 42.0ms (3.2% 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

2.5MiB live, 81.1MiB allocated

Algorithm

2×	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	12	24
1	40	24
2	90	24
3	185	24
4	361	24
5	502	24
6	512	24
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)
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64) #s(literal 0 binary64))

Call 2

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

Outputs
(/ (- (exp x) (exp (neg x))) 2)
(* (- (exp (neg x)) (exp x)) -1/2)
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2)
(* (- (exp (neg x)) (exp x)) 1/2)
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2))
(* (- (exp (neg x)) (exp x)) -1/2)

Symmetry

(negabs x)

explain140.0ms (1.3%)

Memory

-29.4MiB live, 289.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	134	0

Confusion

	Predicted +	Predicted -
+	134	0
-	0	122

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	0	0	122

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	82×	2	valid
30.0ms	164×	1	valid
15.0ms	258×	0	valid
4.0ms	8×	3	valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-exp: 45.0ms (71.3% of total)

ival-div: 7.0ms (11.1% of total)

ival-neg: 4.0ms (6.3% of total)

ival-sub: 4.0ms (6.3% of total)

adjust: 3.0ms (4.8% 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify20.0ms (0.2%)

Memory

34.2MiB live, 34.2MiB 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	320	(/.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)
(fma.f64 (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
2
#s(literal 2 binary64)

localize57.0ms (0.5%)

Memory

-7.4MiB live, 107.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	51.8%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

17.0ms	82×	1	valid
15.0ms	41×	2	valid
13.0ms	129×	0	valid
2.0ms	4×	3	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 23.0ms (71% of total)

ival-div: 4.0ms (12.3% of total)

ival-sub: 2.0ms (6.2% of total)

adjust: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% 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

6.3MiB live, 6.3MiB 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)))

rewrite219.0ms (2%)

Memory

-7.3MiB live, 279.7MiB 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 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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 x #s(literal -2 binary64)))))) #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 x #s(literal -2 binary64)))))) #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 x #s(literal -2 binary64))) (*.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 x #s(literal -2 binary64)))) #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 x #s(literal -2 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (*.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 (-.f64 #s(literal 0 binary64) 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 x #s(literal -2 binary64))) #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 x #s(literal -2 binary64))) #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 x #s(literal -2 binary64))) #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 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #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 x #s(literal -2 binary64))))) (.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 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)))) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(/.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 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64))
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(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x))))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (-.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 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 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)))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.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 (-.f64 #s(literal 0 binary64) 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 x #s(literal -2 binary64))) #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 x #s(literal -2 binary64))))))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))) (+.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 x #s(literal -2 binary64)) #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 x #s(literal -2 binary64))))) #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 x #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(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) (-.f64 #s(literal 0 binary64) (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 x #s(literal -2 binary64)))))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.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 x #s(literal -2 binary64))))))))
(.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 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.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 x #s(literal -2 binary64)))))) (-.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 x #s(literal -2 binary64)))) #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 x #s(literal -2 binary64)))) #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 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(.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 x #s(literal -2 binary64)))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) 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 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))

simplify789.0ms (7.3%)

Memory

14.2MiB live, 728.3MiB 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 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.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)) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 x)) #s(literal -1/2 binary64) #s(literal 0 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 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval105.0ms (1%)

Memory: -11.8MiB live, 66.1MiB allocated
Compiler: Compiled 6 397 to 938 computations (85.3% saved)

prune57.0ms (0.5%)

Memory

10.5MiB live, 85.8MiB 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
	92.3%	(fma.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)) #s(literal 0 binary64))
	89.6%	(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
	84.0%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶	92.3%	(/.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))
▶	84.0%	(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
▶	89.6%	(/.f64 (.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))) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
▶	54.8%	x

Compiler

Compiled 196 to 122 computations (37.8% saved)

simplify601.0ms (5.5%)

Memory

-25.3MiB live, 581.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	cost-diff	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))
✓	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	768	(/.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	-64	(.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)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
✓	cost-diff	704	(/.f64 (.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))) #s(literal 2 binary64))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
✓	cost-diff	768	(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(sinh.f64 x)

Rules

16 414×	`accelerator-lowering-fma.f32`
16 414×	`accelerator-lowering-fma.f64`
6 270×	`-lowering-.f32`
6 270×	`-lowering-.f64`
1 922×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	196
1	93	196
2	246	196
3	516	196
4	884	196
5	1292	190
6	1905	184
7	2428	184
8	3393	184
9	4450	184
10	6938	184
0	8289	161

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(sinh x)
(sinh.f64 x)
x
x
(/ (* x (+ (* (* x x) 1/3) 2)) 2)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ (* (* x x) 1/3) 2))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) 1/3) 2)
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(/ (* x (+ (* x (* x (+ (* (* x x) 1/60) 1/3))) 2)) 2)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ (* x (* x (+ (* (* x x) 1/60) 1/3))) 2))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
x
(+ (* x (* x (+ (* (* x x) 1/60) 1/3))) 2)
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(* x (+ (* (* x x) 1/60) 1/3))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(+ (* (* x x) 1/60) 1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(/ (* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)) 2)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(+ (* (* x x) 1/2520) 1/60)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #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)

localize90.0ms (0.8%)

Memory

18.9MiB live, 131.5MiB allocated

Localize:

Found 13 expressions of interest:

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

Samples

55.0ms

256×

valid

Compiler

Compiled 175 to 28 computations (84% saved)

Precisions

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

ival-mult: 17.0ms (43.6% of total)

const: 9.0ms (23.1% of total)

ival-add: 6.0ms (15.4% of total)

ival-div: 5.0ms (12.8% of total)

ival-sinh: 2.0ms (5.1% 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

-8.6MiB live, 30.0MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 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 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 (* 1/60 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 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 (* 1/60 (pow x 2))))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<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 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 1/60>
#<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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* 1/60 (pow x 3))>
#<alt (* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 3))>
#<alt (* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/60 (* 1/3 (/ 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)))))))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)) 2)
1.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(+ (* x (* x (+ (* (* x x) 1/60) 1/3))) 2)
1.0ms	x	@	inf	(sinh x)
1.0ms	x	@	inf	(/ (* x (+ (* (* x x) 1/3) 2)) 2)

rewrite392.0ms (3.6%)

Memory

-7.0MiB live, 801.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 566×	`/-lowering-/.f32`
4 566×	`/-lowering-/.f64`
4 562×	`-lowering-.f32`
4 562×	`-lowering-.f64`
3 876×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	176
1	187	176
2	1447	176
0	8130	153

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 554

Calls

Call 1

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

Outputs
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))))
(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 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (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) (sinh.f64 x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 x (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 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 #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8 binary64)) x) (.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8 binary64)) x) (.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64)) x) (.f64 (fma.f64 x (.f64 x #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 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8 binary64))) x) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2/3 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -4 binary64))) x) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -2 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) x #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 2/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))))
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(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.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))) (.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)))) #s(literal -4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.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))) #s(literal -2 binary64))))

simplify406.0ms (3.7%)

Memory

16.8MiB live, 730.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 380×	`accelerator-lowering-fma.f32`
15 380×	`accelerator-lowering-fma.f64`
4 348×	`-lowering-.f32`
4 348×	`-lowering-.f64`
3 074×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	1684
1	524	1648
2	1436	1638
3	4073	1624
0	8214	1512

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 (* 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))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 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 (* 1/60 (pow x 2))))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
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)))))))
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))))))
1/60
(+ 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)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 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)))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 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) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
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 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 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 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #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)))
(* 1/3 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 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 1/6 binary64) (.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 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (.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 (.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)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(fma.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))) #s(literal 0 binary64))
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 x (.f64 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 (* 1/60 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(* 1/60 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))))
(* 1/60 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 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 (* 1/60 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #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))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 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 x (*.f64 x #s(literal 1/60 binary64)) #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 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* 1/60 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64)))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/60 (pow x 5))
(.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64)))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 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)))
(* 1/5040 (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)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(fma.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))))) #s(literal 0 binary64))
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 x (.f64 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 x (.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))) #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 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 (+.f64 #s(literal 1/2520 binary64) (/.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 (+.f64 #s(literal 1/2520 binary64) (/.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 (+.f64 #s(literal 1/2520 binary64) (/.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))
1/3
#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 (.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 x (.f64 (.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)))
1/60
#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 (.f64 x 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 (.f64 x 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))
(* 1/3 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 (* 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 (* 1/60 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* 1/60 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* 1/60 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 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 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 x (.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))) #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 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 1/60 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 x (.f64 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)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(fma.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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 0 binary64))

eval177.0ms (1.6%)

Memory: 24.8MiB live, 253.7MiB allocated
Compiler: Compiled 28 056 to 2 640 computations (90.6% saved)

prune124.0ms (1.1%)

Memory

-40.8MiB live, 223.0MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	788	18	806
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	793	21	814

Accuracy

100.0%

Counts

814 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
	92.3%	(/.f64 (fma.f64 (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)) (.f64 x (.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
▶	92.3%	(/.f64 (fma.f64 (.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))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	60.7%	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
	92.3%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	92.3%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	72.7%	(/.f64 (.f64 x (fma.f64 (.f64 x 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))) #s(literal 2 binary64))
	72.7%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x 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))) #s(literal 2 binary64))
	92.1%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
▶	92.3%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	92.0%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	39.9%	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))
▶	92.3%	(.f64 (fma.f64 x (.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))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	89.6%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
	92.3%	(.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)))
	89.6%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	84.0%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	34.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
	39.9%	(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	100.0%	(sinh.f64 x)
✓	54.8%	x

Compiler

Compiled 795 to 433 computations (45.5% saved)

simplify257.0ms (2.4%)

Memory

9.7MiB live, 558.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
✓	cost-diff	384	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	768	(fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	cost-diff	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))
✓	cost-diff	0	(fma.f64 x (.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))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (.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))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	-64	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 x (.f64 x x))
✓	cost-diff	-64	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	cost-diff	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))
✓	cost-diff	384	(fma.f64 (.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))) (.f64 x x) (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (fma.f64 (.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))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))

Rules

7 096×	`accelerator-lowering-fma.f32`
7 096×	`accelerator-lowering-fma.f64`
4 446×	`-lowering-.f32`
4 446×	`-lowering-.f64`
3 220×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	345
1	141	341
2	346	335
3	1052	335
4	2442	335
5	3044	335
6	6564	329
7	7644	329
0	8195	289

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)
1/2520
1/60
1/3
(* x 2)
2
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(+ (* x (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)) 0)
x
(+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)
(* x (+ (* x (* x 1/120)) 1/6))
(+ (* x (* x 1/120)) 1/6)
(* x 1/120)
1/120
1/6
1
0
(* (+ (* 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)
1/2520
1/60
1/3
2
(* x 1/2)
1/2
(/ (* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)) 2)
(* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2))
x
(+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)
(* x x)
(+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))
(* (* x 1/2520) (* x x))
(* x 1/2520)
1/2520
(+ (* (* x x) 1/60) 1/3)
1/60
1/3
2

Outputs
(/ (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) (* x x)) (* x 2)) 2)
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) (* x x)) (* x 2))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (* x x) 1/2520) 1/60)
(fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 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)
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(* 1/6 (* x (* x x)))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)) 0)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* x (+ (* x (* x 1/120)) 1/6))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(+ (* x (* x 1/120)) 1/6)
(fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(* x 1/120)
(fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64))
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(* (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2) (* x 1/2))
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))) 2)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
x
(* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (* x x) 1/2520) 1/60)
(fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 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)
(* x 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(/ (* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)) 2)
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 1/60 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(* (* x 1/2520) (* x x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x 1/2520)
(fma.f64 x #s(literal 1/2520 binary64) #s(literal 0 binary64))
1/2520
#s(literal 1/2520 binary64)
(+ (* (* x x) 1/60) 1/3)
(fma.f64 x (fma.f64 x #s(literal 1/60 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)

localize158.0ms (1.5%)

Memory

-16.3MiB live, 386.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/2520 binary64)) (*.f64 x x))
✓	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	99.9%	(.f64 (fma.f64 x (.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))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	accuracy	99.8%	(.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)))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(fma.f64 (.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))) (.f64 x x) (*.f64 x #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	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	accuracy	99.8%	(.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)))

Samples

92.0ms

256×

valid

Compiler

Compiled 332 to 46 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 32.0ms (43.9% of total)

const: 19.0ms (26.1% of total)

ival-add: 17.0ms (23.3% of total)

ival-div: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

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

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

series11.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB 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) 1/2520) 1/60)) 1/3)>
#<alt (+ (* (* x x) 1/2520) 1/60)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (* x (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)) 0)>
#<alt (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)>
#<alt (+ (* x (* x 1/120)) 1/6)>
#<alt (* x (+ (* x (* x 1/120)) 1/6))>
#<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 (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))>
#<alt (/ (* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)) 2)>
#<alt (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)>
#<alt (+ (* (* x x) 1/60) 1/3)>
#<alt (* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))>
#<alt (* x 1/120)>
#<alt (* (* x 1/2520) (* x x))>
#<alt (* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2))>

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>
#<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 1/60>
#<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 (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<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 (* 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 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 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 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 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 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 (* 1/120 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 (* 1/2520 (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 (* 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)))))))>

Calls

63 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* x (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)) 0)
0.0ms	x	@	0	(* 1/6 (* x (* x x)))
0.0ms	x	@	inf	(* 1/6 (* x (* x x)))
0.0ms	x	@	-inf	(* (* x 1/2520) (* x x))
0.0ms	x	@	-inf	(* 1/6 (* x (* x x)))

rewrite539.0ms (5%)

Memory

12.5MiB live, 1 160.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 772×	`accelerator-lowering-fma.f32`
5 772×	`accelerator-lowering-fma.f64`
4 158×	`-lowering-.f32`
4 158×	`-lowering-.f64`
4 120×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	269
1	281	265
2	2064	265
0	8289	230

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 955

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) 1/2520) 1/60)) 1/3)
(+ (* (* x x) 1/2520) 1/60)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* x (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)) 0)
(+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1)
(+ (* x (* x 1/120)) 1/6)
(* x (+ (* x (* x 1/120)) 1/6))
(* (+ (* 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 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))
(/ (* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)) 2)
(+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2)
(+ (* (* x x) 1/60) 1/3)
(* x (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3))
(* x 1/120)
(* (* x 1/2520) (* x x))
(* x (+ (* (* x x) (+ (* x (* (* x 1/2520) (* x x))) (+ (* (* x x) 1/60) 1/3))) 2))

Outputs
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (.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))))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.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))))) (.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 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)))) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (.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)))) (.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 x (*.f64 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 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 (/.f64 (.f64 (.f64 x x) (.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 (.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 (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)))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (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)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.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 (.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 #s(literal 2 binary64) (.f64 x (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))))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (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))))))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 (.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)))) (*.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 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))))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.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)))) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (.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)))) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (.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))) #s(literal -2 binary64)))
(/.f64 (.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))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.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)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 (.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)))) (.f64 (.f64 x 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))))) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 (.f64 x 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)))))))) (fma.f64 (.f64 (.f64 x 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)))) (.f64 (.f64 x x) (.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 (.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 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x (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)))) (.f64 (.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))) (.f64 x (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))))))
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simplify456.0ms (4.2%)

Memory

14.0MiB live, 874.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 350×	`accelerator-lowering-fma.f32`
13 350×	`accelerator-lowering-fma.f64`
4 264×	`-lowering-.f32`
4 264×	`-lowering-.f64`
2 706×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	2306
1	503	2282
2	1352	2263
3	3749	2238
0	8184	2097

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
(+ 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))))))
1/60
(+ 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)))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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)))))
(* 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)))))
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)))))))
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))))))
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)))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 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)))
(* 1/120 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)
(* 1/2520 (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))
(* 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)))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 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 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/5040 (pow x 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)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(fma.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))))) #s(literal 0 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 (.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 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)))
(* 1/2520 (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 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.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)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(fma.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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 0 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 x (.f64 x (fma.f64 x (.f64 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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(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))
(* 1/2520 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(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))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 x (*.f64 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 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 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 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
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#s(literal 2 binary64)
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(* (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))
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 (* 1/60 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #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))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 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 x (.f64 x (fma.f64 x (*.f64 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 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(* 1/2520 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/60 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x 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))))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/60 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x 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 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(fma.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))) #s(literal 0 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 binary64))))
(* 1/2520 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2520 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 (.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 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)))
(* 1/2520 (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 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.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)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(fma.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 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 0 binary64))

eval249.0ms (2.3%)

Memory: -4.6MiB live, 546.7MiB allocated
Compiler: Compiled 69 238 to 3 333 computations (95.2% saved)

prune202.0ms (1.9%)

Memory

-11.4MiB live, 367.9MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 534	21	1 555
Fresh	6	8	14
Picked	2	3	5
Done	0	2	2
Total	1 542	34	1 576

Accuracy

100.0%

Counts

1 576 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.6%	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x x)
▶	92.3%	(fma.f64 (.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)))) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
▶	89.6%	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
	89.6%	(fma.f64 x (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
	39.9%	(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
	92.0%	(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
▶	92.3%	(/.f64 (fma.f64 (.f64 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)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	92.3%	(/.f64 (fma.f64 (.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))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	72.8%	(/.f64 (fma.f64 (.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 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))
	60.7%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
	92.3%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	72.7%	(/.f64 (.f64 x (fma.f64 (.f64 x 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))) #s(literal 2 binary64))
	72.7%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x 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))) #s(literal 2 binary64))
	92.1%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
	92.0%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	39.9%	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))
	84.0%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	92.3%	(.f64 (fma.f64 x (fma.f64 (fma.f64 x (.f64 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)))
▶	92.0%	(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	92.3%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	92.3%	(.f64 (fma.f64 x (.f64 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)) (*.f64 x #s(literal 1/2 binary64)))
✓	92.3%	(.f64 (fma.f64 x (.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))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	72.7%	(.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 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)))
	92.0%	(.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)))
	34.7%	(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
▶	34.7%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
	39.9%	(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
	92.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	92.3%	(.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)))
	84.0%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	34.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
	39.9%	(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	100.0%	(sinh.f64 x)
✓	54.8%	x

Compiler

Compiled 1 235 to 697 computations (43.6% saved)

simplify323.0ms (3%)

Memory

19.8MiB live, 485.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(.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))))
✓	cost-diff	0	(fma.f64 (.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)))) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	640	(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2520 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2520 binary64)) #s(literal 2 binary64))
✓	cost-diff	320	(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x 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 x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 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))))
✓	cost-diff	320	(fma.f64 (.f64 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)))) (.f64 x x) (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	384	(/.f64 (fma.f64 (.f64 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)))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	640	(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)))

Rules

9 640×	`accelerator-lowering-fma.f32`
9 640×	`accelerator-lowering-fma.f64`
3 882×	`-lowering-.f32`
3 882×	`-lowering-.f64`
2 162×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	322
1	140	292
2	385	280
3	938	280
4	2009	276
5	4155	276
6	5435	274
7	6725	268
8	7520	268
9	7985	268
0	8004	241

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize174.0ms (1.6%)

Memory

-7.2MiB live, 238.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
✓	accuracy	99.9%	(.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))))
✓	accuracy	99.8%	(.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)))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/2520 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/60 binary64))
✓	accuracy	99.8%	(.f64 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))))

Samples

87.0ms

256×

valid

Compiler

Compiled 325 to 46 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 42.0ms (61.9% of total)

const: 15.0ms (22.1% of total)

ival-add: 9.0ms (13.3% of total)

ival-div: 2.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

-0.2MiB live, 37.0MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<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 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 (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (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 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 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>
#<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 (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* 1/2520 (pow x 5))>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<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 x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* (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))))))>
#<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))))))>
#<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 (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/60 x)>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<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)))))>

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (+ (* x (* (* x (* x (* x (* x x)))) 1/2520)) 2) (* x 1/2))
2.0ms	x	@	0	(* x 1/6)
1.0ms	x	@	inf	(* (+ (* x (* (* x (* x (* x (* x x)))) 1/2520)) 2) (* x 1/2))
1.0ms	x	@	0	(* (+ (* x (* (* x (* x (* x (* x x)))) 1/2520)) 2) (* x 1/2))
0.0ms	x	@	0	(* (* x (* x (* x (* x x)))) 1/2520)

rewrite459.0ms (4.2%)

Memory

15.1MiB live, 775.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 884×	`accelerator-lowering-fma.f32`
6 884×	`accelerator-lowering-fma.f64`
4 352×	`-lowering-.f32`
4 352×	`-lowering-.f64`
3 754×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	261
1	262	223
2	2108	219
0	8203	194

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 705

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/60 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(+.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (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))) (/.f64 #s(literal 1/9 binary64) (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))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64))) (-.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (-.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))
(fma.f64 x (.f64 x #s(literal 1/60 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (*.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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/60 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2520 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(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))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/60 binary64) (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x #s(literal 1/60 binary64)) x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64)) (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) x #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/180 binary64)))) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal -1/3 binary64))) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64))) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216000 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/60 binary64)) (.f64 x #s(literal 1/60 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 (.f64 x #s(literal 1/60 binary64)) (.f64 x #s(literal 1/60 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x #s(literal 1/60 binary64))))
(/.f64 (.f64 x (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 x (.f64 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 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) x) (-.f64 (fma.f64 (.f64 x (.f64 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 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216000 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/60 binary64)) (.f64 x #s(literal 1/60 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 (.f64 x #s(literal 1/60 binary64)) (.f64 x #s(literal 1/60 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x #s(literal 1/60 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 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 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 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 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/216000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64))))) (fma.f64 (.f64 x #s(literal 1/60 binary64)) (.f64 x #s(literal 1/60 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 (.f64 x #s(literal 1/60 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(+.f64 #s(literal 1/60 binary64) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 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 x (.f64 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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (.f64 (*.f64 x x) #s(literal 1/151200 binary64)))))
(/.f64 #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (.f64 (.f64 x x) #s(literal 1/151200 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))))
(/.f64 #s(literal 1 binary64) (/.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) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 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 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (.f64 (*.f64 x x) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x x) #s(literal 1/2520 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) #s(literal 1/3600 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 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 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)))) (neg.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (fma.f64 x (.f64 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 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (fma.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64)) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 x (*.f64 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 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 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 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))

simplify483.0ms (4.4%)

Memory

-20.0MiB live, 696.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 974×	`accelerator-lowering-fma.f32`
12 974×	`accelerator-lowering-fma.f64`
4 214×	`-lowering-.f32`
4 214×	`-lowering-.f64`
2 604×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	2038
1	508	2020
2	1342	1987
3	3621	1968
0	8035	1854

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
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))))))
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)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* 1/6 (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 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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
(+ 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)))))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(* 1/2520 (pow x 5))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
x
x
x
x
x
x
x
x
x
x
x
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))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 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))))))
(* 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))))))
(* 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)))
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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)))))

Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(* 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 x (*.f64 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 #s(literal 1/60 binary64) (.f64 x x) (.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)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 1/60 binary64) (.f64 x x) (.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)))))))
(* 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 x (*.f64 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 #s(literal 1/60 binary64) (.f64 x x) (.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)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 1/60 binary64) (.f64 x x) (.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)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 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 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 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)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(fma.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 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 0 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #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 #s(literal 1/60 binary64) (*.f64 x x) #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 x (.f64 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 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (+.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.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (+.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.f64 x #s(literal 7 binary64)) (*.f64 x #s(literal 2 binary64)))
(* 1/2520 (pow x 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(fma.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 x (.f64 x (*.f64 x x)))))) #s(literal 0 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #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 x (*.f64 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 x (*.f64 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 x) #s(literal 1/2520 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x x)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x x))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/60 binary64) (.f64 x (.f64 x x))))
(* 1/2520 (pow x 5))
(.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(fma.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))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(fma.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))) #s(literal 0 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 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/120 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x 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 1/6 binary64) (.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 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (.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 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x))) #s(literal 0 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/6
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(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))

eval252.0ms (2.3%)

Memory: 35.0MiB live, 182.3MiB allocated
Compiler: Compiled 43 436 to 2 668 computations (93.9% saved)

prune206.0ms (1.9%)

Memory

-4.3MiB live, 206.7MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 100	11	1 111
Fresh	6	18	24
Picked	3	2	5
Done	1	4	5
Total	1 110	35	1 145

Accuracy

100.0%

Counts

1 145 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.6%	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x x)
	92.3%	(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.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))) (.f64 x #s(literal 1 binary64)))
	72.8%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) 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)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
	92.3%	(fma.f64 (.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)))) (*.f64 x #s(literal 1/2 binary64)) x)
✓	89.6%	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
	89.4%	(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
	89.6%	(fma.f64 x (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
	39.9%	(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
	92.1%	(/.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
	72.8%	(/.f64 (fma.f64 (.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 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))
	60.7%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
	92.3%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
	72.7%	(/.f64 (.f64 x (fma.f64 (.f64 x 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))) #s(literal 2 binary64))
	72.7%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x 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))) #s(literal 2 binary64))
	92.1%	(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
	39.9%	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))
	92.0%	(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	92.0%	(.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))))) x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	84.0%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	92.0%	(.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	92.3%	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
✓	92.3%	(.f64 (fma.f64 x (.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))) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
	72.7%	(.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 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)))
	92.0%	(.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)))
	92.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
	34.7%	(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
	39.9%	(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
✓	34.7%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
	39.9%	(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
	92.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	92.3%	(.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)))
	84.0%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	34.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	54.8%	x

Compiler

Compiled 1 737 to 604 computations (65.2% saved)

regimes50.0ms (0.5%)

Memory

-21.6MiB live, 56.7MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))
(.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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.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))) #s(literal 2 binary64))
(fma.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)) #s(literal 0 binary64))
(.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 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))))) x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 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) (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)))
(fma.f64 (.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)))) (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 x (fma.f64 (fma.f64 x (.f64 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 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.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))) (.f64 x #s(literal 1 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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 x (.f64 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)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))) x (fma.f64 x (.f64 x #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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.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)))) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.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))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (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)) (.f64 x (.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 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 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 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)))) (.f64 x x) (*.f64 x #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 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 (.f64 x (fma.f64 (.f64 x 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))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) 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)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.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 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 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x 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))) #s(literal 2 binary64))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

18.0ms	x
16.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
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(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
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(fma.f64 x (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))
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(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
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(.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 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))))) x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 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) (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)))
(fma.f64 (.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)))) (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
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(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.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))) (.f64 x #s(literal 1 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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 x (.f64 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)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))) x (fma.f64 x (.f64 x #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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.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)))) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.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))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (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)) (.f64 x (.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 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 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
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(/.f64 (.f64 x (fma.f64 (.f64 x 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))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) 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)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.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 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 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 x 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))) #s(literal 2 binary64))

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
95.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Memory

-14.3MiB live, 24.1MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))
(.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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
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(/.f64 (.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))) #s(literal 2 binary64))
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(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
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(.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))))) x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
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(fma.f64 (.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)))) (*.f64 x #s(literal 1/2 binary64)) x)
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
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(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.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))) (.f64 x #s(literal 1 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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (fma.f64 x (.f64 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)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/2520 binary64)))) x (fma.f64 x (.f64 x #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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/3 binary64))) (.f64 x x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.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)))) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.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))) (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (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)) (.f64 x (.f64 x x)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x #s(literal 1/2520 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 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 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 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)))) (.f64 x x) (*.f64 x #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 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 (.f64 x (fma.f64 (.f64 x 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))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) 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)) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
92.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))
(.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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.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))) #s(literal 2 binary64))
(fma.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)) #s(literal 0 binary64))
(.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 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x (.f64 x (.f64 x x))))) x #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 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) (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)))

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

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
92.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes28.0ms (0.3%)

Memory

-29.1MiB live, 9.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/60 binary64))) #s(literal 2 binary64))

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
89.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(.f64 (.f64 x x) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(fma.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) #s(literal 0 binary64))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
83.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
54.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	2.2229006822297077e+61	1.470252346556875e+68

Samples

1.0ms

16×

valid

Compiler

Compiled 63 to 32 computations (49.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

ival-exp: 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)

bsearch56.0ms (0.5%)

Memory

-23.5MiB live, 17.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
54.0ms	0.02320930418624754	35433.78921774259

Samples

8.0ms

144×

valid

Compiler

Compiled 219 to 146 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (56.3% of total)

ival-sub: 1.0ms (18.8% of total)

ival-div: 1.0ms (18.8% of total)

ival-neg: 1.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.02320930418624754	35433.78921774259

Samples

8.0ms

144×

valid

Compiler

Compiled 120 to 83 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (56.1% of total)

ival-sub: 1.0ms (18.7% of total)

ival-div: 1.0ms (18.7% of total)

ival-neg: 1.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify55.0ms (0.5%)

Memory

-15.7MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	160
1	78	160

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(fma.f64 (.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)))) (*.f64 x #s(literal 1/2 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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2758454771764429/1125899906842624 binary64)) x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
x

Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(fma.f64 (.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)))) (*.f64 x #s(literal 1/2 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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))) x)
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2758454771764429/1125899906842624 binary64)) x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
x

soundness1.6s (14.6%)

Memory

7.0MiB live, 1 103.9MiB allocated

Rules

18 510×	`accelerator-lowering-fma.f32`
18 510×	`accelerator-lowering-fma.f64`
15 380×	`accelerator-lowering-fma.f32`
15 380×	`accelerator-lowering-fma.f64`
12 974×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	269
1	281	265
2	2064	265
0	8289	230
0	26	176
1	187	176
2	1447	176
0	8130	153
0	148	2038
1	508	2020
2	1342	1987
3	3621	1968
0	8035	1854
0	154	1684
1	524	1648
2	1436	1638
3	4073	1624
0	8214	1512
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	7	17
1	42	13
2	289	13
0	3069	13

Stop Event

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

Compiler

Compiled 429 to 218 computations (49.2% saved)

preprocess63.0ms (0.6%)

Memory: -17.1MiB live, 179.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 346 to 130 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	24
1	40	24
2	90	24
3	185	24
4	361	24
5	502	24
6	512	24
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	12	24
1	40	24
2	90	24
3	185	24
4	361	24
5	502	24
6	512	24
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%)

sample1.9s (17.7%)

preprocess41.0ms (0.4%)

explain140.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize57.0ms (0.5%)

series3.0ms (0%)

rewrite219.0ms (2%)

simplify789.0ms (7.3%)

eval105.0ms (1%)

prune57.0ms (0.5%)

simplify601.0ms (5.5%)

localize90.0ms (0.8%)

series13.0ms (0.1%)

rewrite392.0ms (3.6%)

simplify406.0ms (3.7%)

eval177.0ms (1.6%)

prune124.0ms (1.1%)

simplify257.0ms (2.4%)

localize158.0ms (1.5%)

series11.0ms (0.1%)

rewrite539.0ms (5%)

simplify456.0ms (4.2%)

eval249.0ms (2.3%)

prune202.0ms (1.9%)

simplify323.0ms (3%)

localize174.0ms (1.6%)

series16.0ms (0.1%)

rewrite459.0ms (4.2%)

simplify483.0ms (4.4%)

eval252.0ms (2.3%)

prune206.0ms (1.9%)

regimes50.0ms (0.5%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes10.0ms (0.1%)

regimes28.0ms (0.3%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch2.0ms (0%)

bsearch56.0ms (0.5%)

bsearch14.0ms (0.1%)

simplify55.0ms (0.5%)

soundness1.6s (14.6%)

preprocess63.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	24
1	40	24
2	90	24
3	185	24
4	361	24
5	502	24
6	512	24
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