Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample5.0s (35.2%)

Memory

74.4MiB live, 5 654.6MiB allocated

Samples

2.2s	3 078×	2	valid
1.2s	4 707×	1	valid
766.0ms	7 502×	0	exit
47.0ms	471×	0	valid

Precisions

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

ival-exp: 2.3s (66.7% of total)

ival-div: 380.0ms (11.2% of total)

ival-sub: 231.0ms (6.8% of total)

ival-add: 211.0ms (6.2% of total)

adjust: 199.0ms (5.9% of total)

ival-neg: 94.0ms (2.8% of total)

ival-true: 13.0ms (0.4% of total)

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

Bogosity

preprocess104.0ms (0.7%)

Memory

-9.1MiB live, 123.1MiB allocated

Algorithm

2×	egg-herbie

Rules

528×	`accelerator-lowering-fma.f32`
528×	`accelerator-lowering-fma.f64`
374×	`div-sub`
336×	`-lowering-.f32`
336×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	46	39
2	100	39
3	220	39
4	502	39
5	1164	39
6	1617	39
7	1655	39
8	1674	39
9	1693	39
10	1727	39
11	1739	39
0	7	13
1	19	13
2	36	13
3	61	13
4	116	13
5	271	13
6	457	13
7	678	13
8	898	13
9	1052	13
10	1180	13
11	1222	13
0	1222	13

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))

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

Call 2

Inputs

(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))

(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))

(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))))

Outputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))
(/ (- (exp (neg x)) (exp x)) (+ (exp x) (exp (neg x))))
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))

Symmetry

(negabs x)

explain264.0ms (1.8%)

Memory

15.2MiB live, 409.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
245	-	1	(0.0064623057264219155)	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
7	-	0	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	0	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	244	2
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	7	0
↳	`(exp.f64 x)`	overflow	7
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(exp.f64 x)`	overflow	7

Confusion

	Predicted +	Predicted -
+	251	1
-	0	4

Precision

1.0

Recall

0.996031746031746

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	1	0
-	0	1	3

Precision?

0.9960474308300395

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	296×	1	valid
74.0ms	184×	2	valid
3.0ms	32×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

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

ival-exp: 73.0ms (69.3% of total)

ival-div: 8.0ms (7.6% of total)

adjust: 8.0ms (7.6% of total)

ival-sub: 6.0ms (5.7% of total)

ival-add: 5.0ms (4.7% of total)

ival-neg: 4.0ms (3.8% of total)

ival-true: 1.0ms (0.9% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify49.0ms (0.3%)

Memory

-14.9MiB live, 63.1MiB 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	12544	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

528×	`accelerator-lowering-fma.f32`
528×	`accelerator-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`
224×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	19	33
2	36	33
3	61	33
4	116	33
5	271	33
6	457	33
7	678	33
8	898	33
9	1052	33
10	1180	33
11	1222	33
0	1222	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))

localize88.0ms (0.6%)

Memory

-23.1MiB live, 156.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	97.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	11.7%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

38.0ms	92×	2	valid
35.0ms	148×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-exp: 38.0ms (60.6% of total)

ival-neg: 11.0ms (17.6% of total)

ival-div: 4.0ms (6.4% of total)

adjust: 4.0ms (6.4% of total)

ival-add: 3.0ms (4.8% of total)

ival-sub: 3.0ms (4.8% of total)

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

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

series3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (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 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (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)))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms	x	@	inf	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(- (exp x) (exp (neg x)))
0.0ms	x	@	0	(+ (exp x) (exp (neg x)))

rewrite300.0ms (2.1%)

Memory

6.1MiB live, 512.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
3 826×	`/-lowering-/.f32`
3 826×	`/-lowering-/.f64`
2 870×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	49	15
2	418	15
3	7082	15
0	8064	15

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 644

Calls

Call 1

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

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

simplify358.0ms (2.5%)

Memory

34.0MiB live, 540.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 890×	`accelerator-lowering-fma.f32`
12 890×	`accelerator-lowering-fma.f64`
4 156×	`-lowering-.f32`
4 156×	`-lowering-.f64`
2 544×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	425
1	259	424
2	604	414
3	1659	414
4	2630	414
5	4160	414
6	4872	414
7	6500	414
0	8123	386

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (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))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (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))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (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)))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 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)))

eval97.0ms (0.7%)

Memory: 4.2MiB live, 195.6MiB allocated
Compiler: Compiled 18 132 to 1 783 computations (90.2% saved)

prune356.0ms (2.5%)

Memory

-187.2MiB live, 228.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	741	7	748
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	742	7	749

Accuracy

100.0%

Counts

749 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f64 (sinh.f64 x) (cosh.f64 x))
	97.2%	(/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))
▶	96.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
▶	96.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
▶	96.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶	100.0%	(tanh.f64 x)
▶	96.0%	x

Compiler

Compiled 142 to 96 computations (32.4% saved)

simplify555.0ms (3.9%)

Memory

-14.7MiB live, 596.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal -1/3 binary64) (.f64 x x))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	cost-diff	(tanh.f64 x)

Rules

11 660×	`accelerator-lowering-fma.f32`
11 660×	`accelerator-lowering-fma.f64`
3 644×	`-lowering-.f32`
3 644×	`-lowering-.f64`
1 706×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	217
1	102	217
2	250	211
3	625	211
4	1089	211
5	1531	211
6	1802	211
7	2356	211
8	3506	211
9	6192	211
0	8323	188

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(tanh x)
x
x
(* x (+ 1 (* -1/3 (* x x))))
x
(+ 1 (* -1/3 (* x x)))
1
(* -1/3 (* x x))
-1/3
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))
x
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
1
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(* x x)
(+ -1/3 (* x (* x 2/15)))
-1/3
(* x (* x 2/15))
(* x 2/15)
2/15
(* x (+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
x
(+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
1
(* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))
-1/3
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(* x (+ 2/15 (* x (* x -17/315))))
(+ 2/15 (* x (* x -17/315)))
2/15
(* x (* x -17/315))
(* x -17/315)
-17/315

Outputs
(tanh x)
(tanh.f64 x)
x
x
(* x (+ 1 (* -1/3 (* x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
(+ 1 (* -1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
1
#s(literal 1 binary64)
(* -1/3 (* x x))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/3 (* x (* x 2/15)))
(+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64))))
-1/3
#s(literal -1/3 binary64)
(* x (* x 2/15))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* x 2/15)
(*.f64 x #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(* x (+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))
x
(+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))
1
#s(literal 1 binary64)
(* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
(+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))
(+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))
-1/3
#s(literal -1/3 binary64)
(* x (* x (+ 2/15 (* x (* x -17/315)))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(* x (+ 2/15 (* x (* x -17/315))))
(.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(+ 2/15 (* x (* x -17/315)))
(+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))
2/15
#s(literal 2/15 binary64)
(* x (* x -17/315))
(.f64 x (.f64 x #s(literal -17/315 binary64)))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)

localize142.0ms (1%)

Memory

11.8MiB live, 89.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))
✓	accuracy	99.6%	(*.f64 x #s(literal -17/315 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓	accuracy	99.8%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 2/15 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal -1/3 binary64) (.f64 x x))
✓	accuracy	100.0%	(tanh.f64 x)

Samples

56.0ms

256×

valid

Compiler

Compiled 219 to 28 computations (87.2% saved)

Precisions

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

ival-mult: 19.0ms (47.2% of total)

const: 13.0ms (32.3% of total)

ival-add: 6.0ms (14.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.2%)

Memory

-10.8MiB live, 26.5MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (tanh x)>
#<alt (* x (+ 1 (* -1/3 (* x x))))>
#<alt (+ 1 (* -1/3 (* x x)))>
#<alt (* -1/3 (* x x))>
#<alt (* x x)>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))>
#<alt (* (* x x) (+ -1/3 (* x (* x 2/15))))>
#<alt (* x (+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))>
#<alt (+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))>
#<alt (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))>
#<alt (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))>
#<alt (* x (* x 2/15))>
#<alt (* x 2/15)>
#<alt (* x -17/315)>
#<alt (* x (* x (+ 2/15 (* x (* x -17/315)))))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (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 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 5))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(tanh x)
1.0ms	x	@	-inf	(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))
1.0ms	x	@	-inf	(tanh x)
1.0ms	x	@	inf	(* x (+ 1 (* -1/3 (* x x))))
0.0ms	x	@	0	(* x (+ 1 (* -1/3 (* x x))))

rewrite552.0ms (3.9%)

Memory

17.6MiB live, 805.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 312×	`-lowering-.f32`
4 312×	`-lowering-.f64`
4 310×	`/-lowering-/.f32`
4 310×	`/-lowering-/.f64`
4 262×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	159
1	174	159
2	1414	153
0	8164	135

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 542

Calls

Call 1

Inputs
(tanh x)
(* x (+ 1 (* -1/3 (* x x))))
(+ 1 (* -1/3 (* x x)))
(* -1/3 (* x x))
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(* x (+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))))
(+ 1 (* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))))
(* x (* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315))))))))
(* x (+ -1/3 (* x (* x (+ 2/15 (* x (* x -17/315)))))))
(* x (* x 2/15))
(* x 2/15)
(* x -17/315)
(* x (* x (+ 2/15 (* x (* x -17/315)))))

Outputs
(+.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(-.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (expm1.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64)))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))))
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(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/225 binary64) (.f64 #s(literal 289/99225 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))

simplify480.0ms (3.4%)

Memory

32.5MiB live, 673.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 764×	`accelerator-lowering-fma.f32`
11 764×	`accelerator-lowering-fma.f64`
3 610×	`-lowering-.f32`
3 610×	`-lowering-.f64`
2 090×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1632
1	263	1596
2	736	1596
3	2294	1588
4	6977	1588
0	8139	1502

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (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)
(pow x 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 5))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 5))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 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 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
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x
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1
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(* 2/15 x)
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(* 2/15 x)
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(* 2/15 x)
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(* 2/15 x)
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(* 2/15 x)
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(* -17/315 x)
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(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
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(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
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(* -17/315 x)
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(* -17/315 (pow x 4))
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eval99.0ms (0.7%)

Memory: -27.2MiB live, 210.8MiB allocated
Compiler: Compiled 26 882 to 2 147 computations (92% saved)

prune106.0ms (0.7%)

Memory

-4.3MiB live, 155.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	750	4	754
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	753	8	761

Accuracy

100.0%

Counts

761 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))))
▶	97.2%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	96.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x)))
▶	96.8%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) x)
▶	96.2%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
✓	96.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓	100.0%	(tanh.f64 x)
✓	96.0%	x

Compiler

Compiled 341 to 142 computations (58.4% saved)

simplify474.0ms (3.3%)

Memory

18.6MiB live, 647.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x)))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x)
✓	cost-diff	128	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) x)
✓	cost-diff	0	(*.f64 x #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
✓	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(/.f64 (sinh.f64 x) (cosh.f64 x))

Rules

11 122×	`accelerator-lowering-fma.f32`
11 122×	`accelerator-lowering-fma.f64`
4 284×	`-lowering-.f32`
4 284×	`-lowering-.f64`
1 918×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	800
1	109	770
2	478	746
3	2442	738
4	6433	738
0	8294	644

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (sinh x) (cosh x))
(sinh x)
x
(cosh x)
(+ (* x (* x (* x -1/3))) x)
(* x (* x (* x -1/3)))
x
(* x (* x -1/3))
(* x -1/3)
-1/3
(+ (* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))) x)
(* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(* x x)
x
(* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))
-1/3
(* (* x x) (+ 2/15 (* x (* x -17/315))))
(+ 2/15 (* x (* x -17/315)))
2/15
(* x (* x -17/315))
(* x -17/315)
-17/315
(/ (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x) (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))))
(* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)
(- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
1
(* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(* (* x x) (* x x))
(* x x)
x
(* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))
-1/3
(* (* x x) (+ 2/15 (* x (* x -17/315))))
(+ 2/15 (* x (* x -17/315)))
2/15
(* x (* x -17/315))
(* x -17/315)
-17/315
(- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(/ 1 (/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)))
1
(/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x))
(- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
x
(* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))
-1/3
(* (* x x) (+ 2/15 (* x (* x -17/315))))
(* x x)
(+ 2/15 (* x (* x -17/315)))
2/15
(* x (* x -17/315))
(* x -17/315)
-17/315
(* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)
(- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(* (* x x) (* x x))
(* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))

Outputs
(/ (sinh x) (cosh x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh x)
(sinh.f64 x)
x
(cosh x)
(cosh.f64 x)
(+ (* x (* x (* x -1/3))) x)
(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* x (* x (* x -1/3)))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
x
(* x (* x -1/3))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(+ (* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* x x)
(*.f64 x x)
x
(* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* x (* x -17/315))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(+ 2/15 (* x (* x -17/315)))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* x (* x -17/315))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(/ (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x) (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))))
(* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))))))
(- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
1
#s(literal 1 binary64)
(* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* x (* x -17/315))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(+ 2/15 (* x (* x -17/315)))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* x (* x -17/315))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))
(* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(/ 1 (/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))))) (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))))
1
#s(literal 1 binary64)
(/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))))))
(- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))
x
(* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* x (* x -17/315))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* x x)
(*.f64 x x)
(+ 2/15 (* x (* x -17/315)))
(+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* x (* x -17/315))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* x -17/315)
(*.f64 x #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64)))))))))))
(- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
(* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))

localize206.0ms (1.4%)

Memory

-25.2MiB live, 435.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x)))
✓	accuracy	99.6%	(*.f64 x #s(literal -17/315 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))
✓	accuracy	99.6%	(*.f64 x #s(literal -17/315 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal -17/315 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	97.3%	(/.f64 (sinh.f64 x) (cosh.f64 x))

Samples

81.0ms

256×

valid

Compiler

Compiled 804 to 33 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 24.0ms (41.6% of total)

const: 15.0ms (26% of total)

ival-div: 6.0ms (10.4% of total)

ival-add: 5.0ms (8.7% of total)

ival-cosh: 3.0ms (5.2% of total)

ival-sub: 2.0ms (3.5% of total)

ival-sinh: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ (sinh x) (cosh x))>
#<alt (sinh x)>
#<alt (cosh x)>
#<alt (+ (* x (* x (* x -1/3))) x)>
#<alt (* x (* x (* x -1/3)))>
#<alt (* x (* x -1/3))>
#<alt (* x -1/3)>
#<alt (+ (* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))) x)>
#<alt (* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))>
#<alt (* x x)>
#<alt (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))>
#<alt (/ (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x) (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))))>
#<alt (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)>
#<alt (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))>
#<alt (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))>
#<alt (/ 1 (/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)))>
#<alt (/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x))>
#<alt (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))>
#<alt (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))>
#<alt (* x -17/315)>
#<alt (* (* x x) (+ 2/15 (* x (* x -17/315))))>
#<alt (* (* x x) (* x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 5))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/9 (pow x 4))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9))))>
#<alt (* -289/99225 (pow x 13))>
#<alt (* (pow x 13) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))>
#<alt (* (pow x 13) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* (pow x 13) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* -289/99225 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- 289/99225 (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9)))>
#<alt (* -289/99225 (pow x 12))>
#<alt (* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))>
#<alt (* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* -289/99225 (pow x 12))>
#<alt (* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))>
#<alt (* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* -4/45 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))>
#<alt (* 289/99225 (pow x 12))>
#<alt (* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))>
#<alt (* 289/99225 (pow x 12))>
#<alt (* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)>
#<alt (/ -315/17 (pow x 7))>
#<alt (* -1 (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 7)))>
#<alt (/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 7))>
#<alt (/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (+ (* 13230/289 (/ 1 (pow x 2))) (* 4782645/83521 (/ 1 (pow x 6)))))) (pow x 7))>
#<alt (/ -315/17 (pow x 7))>
#<alt (* -1 (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 7)))>
#<alt (* -1 (/ (- (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (/ 6615/4913 (pow x 4))) (pow x 7)))>
#<alt (* -1 (/ (- (+ 315/17 (+ (* 13230/289 (/ 1 (pow x 2))) (* 4782645/83521 (/ 1 (pow x 6))))) (/ 6615/4913 (pow x 4))) (pow x 7)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 17/315 (pow x 2)) 2/15)))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<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)>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x) (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))))
2.0ms	x	@	-inf	(/ (sinh x) (cosh x))
1.0ms	x	@	inf	(/ (sinh x) (cosh x))
0.0ms	x	@	-inf	(/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x))
0.0ms	x	@	inf	(+ (* x (* x (* x -1/3))) x)

rewrite647.0ms (4.5%)

Memory

18.4MiB live, 1 203.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 868×	`accelerator-lowering-fma.f32`
5 868×	`accelerator-lowering-fma.f64`
4 426×	`-lowering-.f32`
4 426×	`-lowering-.f64`
4 324×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	350
1	207	264
2	1822	264
0	8219	236

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 904

Calls

Call 1

Inputs
(/ (sinh x) (cosh x))
(sinh x)
(cosh x)
(+ (* x (* x (* x -1/3))) x)
(* x (* x (* x -1/3)))
(* x (* x -1/3))
(* x -1/3)
(+ (* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))) x)
(* (* x x) (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(* x x)
(* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))
(/ (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x) (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))))
(* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)
(- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(/ 1 (/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x)))
(/ (- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) (* (- 1 (* (* (* x x) (* x x)) (* (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))) (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))) x))
(- 1 (* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315))))))))
(* x (* x (+ -1/3 (* (* x x) (+ 2/15 (* x (* x -17/315)))))))
(* x -17/315)
(* (* x x) (+ 2/15 (* x (* x -17/315))))
(* (* x x) (* x x))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (cosh.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) (/.f64 (sinh.f64 x) (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (sinh.f64 x) (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))) #s(literal -2 binary64))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)) #s(literal 1/2 binary64))
(.f64 (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(.f64 (pow.f64 (/.f64 (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 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 2 binary64))))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.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 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(cosh.f64 x)
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(+.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (-.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x x) x)
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (.f64 x (-.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (.f64 x x)) (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x))) x))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (.f64 x (-.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/27 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/9 binary64))) (-.f64 x (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)))))
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(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -17/315 binary64)) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) x) x (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -17/315 binary64))) x (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (+.f64 (.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 289/99225 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))) (.f64 (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)))) (*.f64 x x))))
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(/.f64 (+.f64 (.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))))) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 289/99225 binary64)))) (-.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)))) (.f64 x x)) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 289/99225 binary64))) (.f64 x x)) (-.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)))))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 289/99225 binary64))))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 289/99225 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))) x)
(.f64 (+.f64 (.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 289/99225 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 8/3375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -17/315 binary64))) #s(literal -2/15 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 289/99225 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)

simplify496.0ms (3.5%)

Memory

-10.9MiB live, 804.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 806×	`accelerator-lowering-fma.f32`
11 806×	`accelerator-lowering-fma.f64`
4 852×	`-lowering-.f32`
4 852×	`-lowering-.f64`
2 768×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	2542
1	683	2494
2	1870	2486
3	5768	2486
0	8164	2389

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* x (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 5))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 5))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* -1/9 (pow x 4))))
(* x (+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9))))
(* x (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9))))
(* -289/99225 (pow x 13))
(* (pow x 13) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))
(* (pow x 13) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* (pow x 13) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* -289/99225 (pow x 13))
(* -1 (* (pow x 13) (- 289/99225 (* 68/4725 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))))))
1
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* 4/45 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (+ 4/45 (* -254/4725 (pow x 2)))) 1/9)))
(* -289/99225 (pow x 12))
(* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))
(* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* (pow x 12) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* -289/99225 (pow x 12))
(* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) 289/99225))
(* (pow x 12) (- (* 68/4725 (/ 1 (pow x 2))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* (pow x 12) (- (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6)))) (+ 289/99225 (/ 254/4725 (pow x 4)))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* -4/45 (pow x 2))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/ -315/17 (pow x 7))
(* -1 (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 7)))
(/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 7))
(/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (+ (* 13230/289 (/ 1 (pow x 2))) (* 4782645/83521 (/ 1 (pow x 6)))))) (pow x 7))
(/ -315/17 (pow x 7))
(* -1 (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 7)))
(* -1 (/ (- (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (/ 6615/4913 (pow x 4))) (pow x 7)))
(* -1 (/ (- (+ 315/17 (+ (* 13230/289 (/ 1 (pow x 2))) (* 4782645/83521 (/ 1 (pow x 6))))) (/ 6615/4913 (pow x 4))) (pow x 7)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 17/315 (pow x 2)) 2/15)))))
(* 17/315 (pow x 6))
(* (pow x 6) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2)))))
(* 17/315 (pow x 6))
(* (pow x 6) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* -17/315 x)
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(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)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
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(* -17/315 (pow x 7))
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(/ -315/17 (pow x 7))
(/.f64 #s(literal -315/17 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 7)))
(/.f64 (+.f64 #s(literal -315/17 binary64) (/.f64 #s(literal -13230/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (* 13230/289 (/ 1 (pow x 2))))) (pow x 7))
(/.f64 (+.f64 (/.f64 #s(literal 6615/4913 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -315/17 binary64) (/.f64 #s(literal -13230/289 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (/ 6615/4913 (pow x 4)) (+ 315/17 (+ (* 13230/289 (/ 1 (pow x 2))) (* 4782645/83521 (/ 1 (pow x 6)))))) (pow x 7))
(/.f64 (+.f64 #s(literal -315/17 binary64) (+.f64 (/.f64 #s(literal -4782645/83521 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 6615/4913 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -13230/289 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(/ -315/17 (pow x 7))
(/.f64 #s(literal -315/17 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (pow x 7)))
(/.f64 (+.f64 #s(literal -315/17 binary64) (/.f64 #s(literal -13230/289 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ 315/17 (* 13230/289 (/ 1 (pow x 2)))) (/ 6615/4913 (pow x 4))) (pow x 7)))
(/.f64 (+.f64 (/.f64 #s(literal 6615/4913 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -315/17 binary64) (/.f64 #s(literal -13230/289 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (+ 315/17 (+ (* 13230/289 (/ 1 (pow x 2))) (* 4782645/83521 (/ 1 (pow x 6))))) (/ 6615/4913 (pow x 4))) (pow x 7)))
(/.f64 (+.f64 #s(literal -315/17 binary64) (+.f64 (/.f64 #s(literal -4782645/83521 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 6615/4913 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -13230/289 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(+ 1 (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 17/315 (pow x 2)) 2/15)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -2/15 binary64) (.f64 (.f64 x x) #s(literal 17/315 binary64)))))))
(* 17/315 (pow x 6))
(.f64 #s(literal 17/315 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2)))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -2/15 binary64)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* 17/315 (pow x 6))
(.f64 #s(literal 17/315 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x)))))
(* (pow x 6) (- (+ 17/315 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 2/15 (/ 1 (pow x 2)))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -2/15 binary64)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* -1/3 (pow x 2))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))))
(* -17/315 (pow x 6))
(.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* -17/315 (pow x 6))
(.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* -17/315 x)
(*.f64 x #s(literal -17/315 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (.f64 x x) #s(literal -17/315 binary64))))
(* -17/315 (pow x 4))
(.f64 x (.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -17/315 (pow x 4))
(.f64 x (.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval475.0ms (3.3%)

Memory: 0.7MiB live, 927.0MiB allocated
Compiler: Compiled 180 083 to 5 202 computations (97.1% saved)

prune217.0ms (1.5%)

Memory

27.7MiB live, 510.0MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	2 257	3	2 260
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	2 259	9	2 268

Accuracy

100.0%

Counts

2 268 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	96.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) x))
▶	96.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x))
▶	96.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
✓	96.8%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) x)
✓	96.2%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
✓	96.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
✓	100.0%	(tanh.f64 x)
✓	96.0%	x

Compiler

Compiled 113 to 71 computations (37.2% saved)

simplify504.0ms (3.5%)

Memory

-11.0MiB live, 656.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)

Rules

11 152×	`accelerator-lowering-fma.f32`
11 152×	`accelerator-lowering-fma.f64`
5 176×	`-lowering-.f32`
5 176×	`-lowering-.f64`
2 308×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	240
1	72	240
2	178	234
3	323	234
4	535	234
5	573	234
6	600	234
7	621	234
8	721	234
9	1171	228
10	1636	228
11	2039	228
12	2696	228
13	3010	228
14	3550	228
15	4307	228
16	4813	228
17	5194	228
18	5629	228
19	6176	228
20	6618	228
21	7437	228
22	7591	228
23	7710	228
24	7830	228
0	8184	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ 1 (* (* x x) 1/3)) x))
1
(/ (+ 1 (* (* x x) 1/3)) x)
(+ 1 (* (* x x) 1/3))
(* (* x x) 1/3)
(* x x)
x
1/3
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x))
1
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x)
(+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45))))
(* (* x x) (+ 1/3 (* (* x x) -1/45)))
(* x x)
x
(+ 1/3 (* (* x x) -1/45))
1/3
(* (* x x) -1/45)
-1/45
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x))
1
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x)
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945)))))))
(* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))
(* x x)
x
(+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945)))))
1/3
(* (* x x) (+ -1/45 (* x (* x 2/945))))
(+ -1/45 (* x (* x 2/945)))
-1/45
(* x (* x 2/945))
(* x 2/945)
2/945

Outputs
(/ 1 (/ (+ 1 (* (* x x) 1/3)) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
1
#s(literal 1 binary64)
(/ (+ 1 (* (* x x) 1/3)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(+ 1 (* (* x x) 1/3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(* (* x x) 1/3)
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x x)
(*.f64 x x)
x
1/3
#s(literal 1/3 binary64)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64)))))
1
#s(literal 1 binary64)
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))
(* (* x x) (+ 1/3 (* (* x x) -1/45)))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64)))
(* x x)
(*.f64 x x)
x
(+ 1/3 (* (* x x) -1/45))
(+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (* x x) -1/45)
(.f64 x (.f64 x #s(literal -1/45 binary64)))
-1/45
#s(literal -1/45 binary64)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))) #s(literal 1/3 binary64)))))
1
#s(literal 1 binary64)
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (*.f64 x x) #s(literal 2/945 binary64)))) #s(literal 1/3 binary64))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) #s(literal 1/3 binary64))))
(* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) #s(literal 1/3 binary64)))
(* x x)
(*.f64 x x)
x
(+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945)))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ -1/45 (* x (* x 2/945))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64))))
(+ -1/45 (* x (* x 2/945)))
(+.f64 #s(literal -1/45 binary64) (.f64 (.f64 x x) #s(literal 2/945 binary64)))
-1/45
#s(literal -1/45 binary64)
(* x (* x 2/945))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* x 2/945)
(*.f64 x #s(literal 2/945 binary64))
2/945
#s(literal 2/945 binary64)

localize99.0ms (0.7%)

Memory

31.0MiB live, 222.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 2/945 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))
✓	accuracy	99.3%	(*.f64 x #s(literal 2/945 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/45 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/3 binary64))

Samples

53.0ms

256×

valid

Compiler

Compiled 242 to 27 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 11.0ms (29.3% of total)

ival-div: 9.0ms (24% of total)

const: 9.0ms (24% of total)

ival-add: 7.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-11.2MiB live, 28.1MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ (+ 1 (* (* x x) 1/3)) x)>
#<alt (/ 1 (/ (+ 1 (* (* x x) 1/3)) x))>
#<alt (+ 1 (* (* x x) 1/3))>
#<alt (* (* x x) 1/3)>
#<alt (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x)>
#<alt (/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) -1/45)))>
#<alt (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x)>
#<alt (/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945)))))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))>
#<alt (* x x)>
#<alt (* (* x x) -1/45)>
#<alt (+ 1/3 (* (* x x) -1/45))>
#<alt (* x 2/945)>
#<alt (* x (* x 2/945))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* x (+ 1/3 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (* -1/45 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* -1/45 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))>
#<alt (/ -45 (pow x 3))>
#<alt (* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))>
#<alt (/ -45 (pow x 3))>
#<alt (* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* -1/45 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ 945/2 (pow x 5))>
#<alt (/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (- (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (/ 178605/8 (pow x 4))) (pow x 5))>
#<alt (/ (+ 945/2 (+ (* -1 (/ (+ 178605/8 (* 19825155/16 (/ 1 (pow x 2)))) (pow x 4))) (* 19845/4 (/ 1 (pow x 2))))) (pow x 5))>
#<alt (/ 945/2 (pow x 5))>
#<alt (/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (* -1 (/ (- (/ 178605/8 (pow x 4)) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 19825155/16 (/ 1 (pow x 6))) (/ 178605/8 (pow x 4))) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 6))>
#<alt (* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt (* -1/45 (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/45 (pow x 2)))>
#<alt (+ 1/3 (* -1/45 (pow x 2)))>
#<alt (+ 1/3 (* -1/45 (pow x 2)))>
#<alt (* -1/45 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* -1/45 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>
#<alt (* 2/945 (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x)
0.0ms	x	@	inf	(* (* x x) (+ 1/3 (* (* x x) -1/45)))
0.0ms	x	@	0	(/ (+ 1 (* (* x x) 1/3)) x)
0.0ms	x	@	inf	(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x)
0.0ms	x	@	inf	(* (* x x) -1/45)

rewrite455.0ms (3.2%)

Memory

-37.2MiB live, 861.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 106×	`-lowering-.f32`
5 106×	`-lowering-.f64`
4 642×	`/-lowering-/.f32`
4 642×	`/-lowering-/.f64`
3 846×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	191
1	182	185
2	1520	185
0	8314	163

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 783

Calls

Call 1

Inputs
(/ (+ 1 (* (* x x) 1/3)) x)
(/ 1 (/ (+ 1 (* (* x x) 1/3)) x))
(+ 1 (* (* x x) 1/3))
(* (* x x) 1/3)
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45)))) x))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) -1/45))))
(* (* x x) (+ 1/3 (* (* x x) -1/45)))
(/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x)
(/ 1 (/ (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))) x))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945)))))))
(* (* x x) (+ 1/3 (* (* x x) (+ -1/45 (* x (* x 2/945))))))
(* x x)
(* (* x x) -1/45)
(+ 1/3 (* (* x x) -1/45))
(* x 2/945)
(* x (* x 2/945))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) x) (/.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x))))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
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(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(.f64 (.f64 x x) #s(literal -1/45 binary64))
(.f64 #s(literal -1/45 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/45 binary64)) x)
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x #s(literal -1/45 binary64)) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/135 binary64) (.f64 x x)))) (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/135 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/135 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/19683 binary64) (.f64 (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (.f64 (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 #s(literal -1/2460375 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/81 binary64) (+.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))) (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) (/.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/135 binary64) (*.f64 x x))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64))))))
(.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (.f64 #s(literal -1/91125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64)))))))
(.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))))
(.f64 (-.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (*.f64 x #s(literal -1/45 binary64))) #s(literal 1/3 binary64))))
(*.f64 x #s(literal 2/945 binary64))
(*.f64 #s(literal 2/945 binary64) x)
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 2/945 binary64)) x)

simplify480.0ms (3.4%)

Memory

3.4MiB live, 721.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 402×	`accelerator-lowering-fma.f32`
11 402×	`accelerator-lowering-fma.f64`
4 042×	`+-lowering-+.f64`
4 042×	`+-lowering-+.f32`
3 828×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1814
1	574	1792
2	1637	1778
3	5215	1728
0	8450	1643

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
(* x (+ 1/3 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(/ 3 x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/ 3 x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(* -1/45 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* -1/45 (pow x 3))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))
(/ -45 (pow x 3))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))
(/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))
(/ -45 (pow x 3))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1/45 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(/ 1 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(* 2/945 (pow x 5))
(* (pow x 5) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* 1/45 (/ 1 (pow x 2))) (+ 2/945 (/ 1/3 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (* 1/45 (/ 1 (pow x 2)))) 2/945)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ 945/2 (pow x 5))
(/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (/ 178605/8 (pow x 4))) (pow x 5))
(/ (+ 945/2 (+ (* -1 (/ (+ 178605/8 (* 19825155/16 (/ 1 (pow x 2)))) (pow x 4))) (* 19845/4 (/ 1 (pow x 2))))) (pow x 5))
(/ 945/2 (pow x 5))
(/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))
(* -1 (/ (- (/ 178605/8 (pow x 4)) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))
(* -1 (/ (- (+ (* 19825155/16 (/ 1 (pow x 6))) (/ 178605/8 (pow x 4))) (+ 945/2 (* 19845/4 (/ 1 (pow x 2))))) (pow x 5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (+ (/ 1/3 (pow x 4)) (/ 1 (pow x 6)))) (* 1/45 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 6))
(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/945 (/ 1/3 (pow x 4))) (* 1/45 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
(* -1/45 (pow x 2))
1/3
(+ 1/3 (* -1/45 (pow x 2)))
(+ 1/3 (* -1/45 (pow x 2)))
(+ 1/3 (* -1/45 (pow x 2)))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* -1/45 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))
(* 2/945 (pow x 2))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 1/9 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -1/27 binary64)))))))))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (- 3 (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal -27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal -81 binary64) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)))) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) x))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal -27 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -9 binary64) (.f64 x x))) (/.f64 #s(literal -81 binary64) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))) x)
(* -1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 3) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/45 binary64))))
(* -1 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal -1/45 binary64)))))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(.f64 x (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/3 binary64)))) x)))
(* -1 (* (pow x 3) (+ 1/45 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))))))
(.f64 x (-.f64 (.f64 x (.f64 x #s(literal -1/45 binary64))) (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/3 binary64)))) x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -7/135 (pow x 2)))) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 (*.f64 x x) #s(literal -7/135 binary64))))))))
(/ -45 (pow x 3))
(/.f64 #s(literal -45 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 675 (* 12150 (/ 1 (pow x 2)))) (pow x 2))) 45) (pow x 3))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 (+.f64 #s(literal -675 binary64) (/.f64 #s(literal -12150 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 12150 (* 212625 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -12150 binary64) (/.f64 #s(literal 212625 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ -45 (pow x 3))
(/.f64 #s(literal -45 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 45 (* 675 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 12150 (pow x 4)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -45 binary64) (-.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) (/.f64 #s(literal 12150 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(* -1 (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 212625 (/ 1 (pow x 6))) (/ 12150 (pow x 4))))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal -45 binary64) (/.f64 #s(literal -675 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -12150 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -212625 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) x)))) (.f64 x (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64)))))))
(* -1/45 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/45 binary64)))))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* -1/45 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/45 binary64)))))
(* (pow x 4) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/45))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
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(* 2/945 (pow x 5))
(.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
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(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))))
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x
(* x (+ 1 (* -1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64))))))))
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(/ 945/2 (pow x 5))
(/.f64 #s(literal 945/2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 945/2 (* 19845/4 (/ 1 (pow x 2)))) (pow x 5))
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1
#s(literal 1 binary64)
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(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45)))))
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(* 2/945 (pow x 6))
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(* (pow x 6) (- 2/945 (* 1/45 (/ 1 (pow x 2)))))
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(* 2/945 (pow x 6))
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(.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) x) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/45 (pow x 2))
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(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
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(.f64 x (.f64 x #s(literal -1/45 binary64)))
(* -1/45 (pow x 2))
(.f64 x (.f64 x #s(literal -1/45 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/45 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(+ 1/3 (* -1/45 (pow x 2)))
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(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
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(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
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(* (pow x 2) (- (* 1/3 (/ 1 (pow x 2))) 1/45))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
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(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))
(* 2/945 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/945 binary64))

eval140.0ms (1%)

Memory: 20.5MiB live, 327.5MiB allocated
Compiler: Compiled 39 543 to 3 236 computations (91.8% saved)

prune113.0ms (0.8%)

Memory

18.9MiB live, 266.7MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 050	9	1 059
Fresh	0	0	0
Picked	2	1	3
Done	2	4	6
Total	1 054	14	1 068

Accuracy

100.0%

Counts

1 068 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(/.f64 (sinh.f64 x) (cosh.f64 x))
	97.1%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))))
	96.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))))
	96.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
	4.2%	(/.f64 #s(literal 3 binary64) x)
	96.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))) (.f64 x x)))) x))
✓	96.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) x))
	4.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x))
	96.3%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
	19.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x (.f64 x (*.f64 x x)))))))
	4.2%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	96.8%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) x)
✓	100.0%	(tanh.f64 x)
✓	96.0%	x

Compiler

Compiled 611 to 248 computations (59.4% saved)

regimes17.0ms (0.1%)

Memory

-28.8MiB live, 48.4MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))) (.f64 x x)))) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x)))
(tanh.f64 x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

7.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes7.0ms (0%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))) (.f64 x x)))) x))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x #s(literal -17/315 binary64))))))))) x)))

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/45 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/45 binary64))))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) x)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

-35.3MiB live, 5.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x))

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) x))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)

Outputs
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total -58.7b remaining (-2273.8%)

Threshold costs -58.7b (-2273.8%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(/.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
18×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	75
1	66	75

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tanh.f64 x)
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x

Outputs
(tanh.f64 x)
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/45 binary64) (.f64 x (.f64 x #s(literal 2/945 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
x

soundness1.1s (8%)

Memory

5.5MiB live, 860.2MiB allocated

Rules

12 890×	`accelerator-lowering-fma.f32`
12 890×	`accelerator-lowering-fma.f64`
11 806×	`accelerator-lowering-fma.f32`
11 806×	`accelerator-lowering-fma.f64`
11 402×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1814
1	574	1792
2	1637	1778
3	5215	1728
0	8450	1643
0	26	159
1	174	159
2	1414	153
0	8164	135
0	90	425
1	259	424
2	604	414
3	1659	414
4	2630	414
5	4160	414
6	4872	414
7	6500	414
0	8123	386
0	7	15
1	49	15
2	418	15
3	7082	15
0	8064	15
0	25	191
1	182	185
2	1520	185
0	8314	163
0	256	2542
1	683	2494
2	1870	2486
3	5768	2486
0	8164	2389

Stop Event

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

Compiler

Compiled 191 to 118 computations (38.2% saved)

preprocess129.0ms (0.9%)

Memory: -25.8MiB live, 204.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 204 to 106 computations (48% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample5.0s (35.2%)

preprocess104.0ms (0.7%)

explain264.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.3%)

localize88.0ms (0.6%)

series3.0ms (0%)

rewrite300.0ms (2.1%)

simplify358.0ms (2.5%)

eval97.0ms (0.7%)

prune356.0ms (2.5%)

simplify555.0ms (3.9%)

localize142.0ms (1%)

series35.0ms (0.2%)

rewrite552.0ms (3.9%)

simplify480.0ms (3.4%)

eval99.0ms (0.7%)

prune106.0ms (0.7%)

simplify474.0ms (3.3%)

localize206.0ms (1.4%)

series17.0ms (0.1%)

rewrite647.0ms (4.5%)

simplify496.0ms (3.5%)

eval475.0ms (3.3%)

prune217.0ms (1.5%)

simplify504.0ms (3.5%)

localize99.0ms (0.7%)

series11.0ms (0.1%)

rewrite455.0ms (3.2%)

simplify480.0ms (3.4%)

eval140.0ms (1%)

prune113.0ms (0.8%)

regimes17.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (8%)

preprocess129.0ms (0.9%)

end0.0ms (0%)

Profiling