Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample4.1s (36.4%)

Memory

70.5MiB live, 4 880.5MiB allocated

Samples

1.6s	2 949×	2	valid
952.0ms	4 728×	1	valid
688.0ms	7 763×	0	exit
143.0ms	579×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.7s (65% of total)

ival-div: 286.0ms (11% of total)

ival-add: 202.0ms (7.7% of total)

adjust: 180.0ms (6.9% of total)

ival-sub: 161.0ms (6.2% of total)

ival-neg: 65.0ms (2.5% of total)

ival-true: 12.0ms (0.5% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

preprocess99.0ms (0.9%)

Memory

-23.8MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Rules

528×	`lower-fma.f64`
528×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
320×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	32	27
2	80	26
3	199	26
4	468	26
5	1130	26
6	1547	26
7	1585	26
8	1604	26
9	1623	26
10	1657	26
11	1669	26
0	7	13
0	13	13
1	25	13
2	42	13
3	67	13
4	122	13
5	276	13
6	462	13
7	682	13
8	905	13
9	1058	13
10	1186	13
11	1233	13
0	1233	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs

(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Symmetry

(negabs x)

explain225.0ms (2%)

Memory

-16.7MiB live, 429.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
247	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
4	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	1	(277.4359475696144)	-	`(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	247	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	4	0
↳	`(exp.f64 x)`	overflow	4
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(exp.f64 x)`	overflow	4
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	251	0
-	1	4

Precision

0.996031746031746

Recall

1.0

Confusion?

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

Precision?

0.9920948616600791

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms	176×	2	valid
55.0ms	306×	1	valid
3.0ms	30×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-exp: 75.0ms (67.5% of total)

adjust: 10.0ms (9% of total)

ival-sub: 10.0ms (9% of total)

ival-div: 7.0ms (6.3% of total)

ival-add: 5.0ms (4.5% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.3%	(/.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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize81.0ms (0.7%)

Memory

-11.4MiB live, 145.3MiB 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	98.5%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	10.9%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

40.0ms	88×	2	valid
26.0ms	153×	1	valid
3.0ms	15×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-exp: 39.0ms (71.8% of total)

adjust: 5.0ms (9.2% of total)

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

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

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

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

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

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

series3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>

Outputs
#<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 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>
#<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)))>
#<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)>

Calls

12 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)))
0.0ms	x	@	0	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
0.0ms	x	@	-inf	(- (exp x) (exp (neg x)))

rewrite323.0ms (2.9%)

Memory

9.4MiB live, 405.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 904×	`lower-*.f64`
3 904×	`lower-*.f32`
3 826×	`lower-/.f32`
3 824×	`lower-/.f64`
2 870×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	13	12
1	55	12
2	424	12
3	7080	12
0	8062	12

Stop Event

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

Counts

4 → 630

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)

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

simplify403.0ms (3.6%)

Memory

-16.9MiB live, 580.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 986×	`lower-fma.f64`
13 986×	`lower-fma.f32`
3 852×	`lower-*.f64`
3 852×	`lower-*.f32`
2 738×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	374
1	232	374
2	554	364
3	1540	364
4	2394	364
5	3646	364
6	4040	364
7	5254	364
0	8038	341

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* 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)))
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
(+ 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)))
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)

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

eval127.0ms (1.1%)

Memory: 32.9MiB live, 185.4MiB allocated
Compiler: Compiled 17 038 to 1 654 computations (90.3% saved)

prune87.0ms (0.8%)

Memory

-37.4MiB live, 210.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	691	4	695
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	692	4	696

Accuracy

100.0%

Counts

696 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
▶	96.9%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
▶	96.5%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
▶	100.0%	(tanh.f64 x)

Compiler

Compiled 45 to 24 computations (46.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize82.0ms (0.7%)

Memory

5.2MiB live, 237.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.5%	(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(tanh.f64 x)

Samples

46.0ms

256×

valid

Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 16.0ms (45.7% of total)

const: 9.0ms (25.7% of total)

ival-add: 8.0ms (22.8% of total)

ival-tanh: 2.0ms (5.7% of total)

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

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

series12.0ms (0.1%)

Memory

38.0MiB live, 38.0MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (tanh.f64 x)>
#<alt (.f64 (.f64 x x) #s(literal -1/3 binary64))>
#<alt (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)>
#<alt (*.f64 x x)>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))>
#<alt (*.f64 x #s(literal 2/15 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))>
#<alt (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))>
#<alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 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 (* -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 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 (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 (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<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 -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 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) (- (* 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt 2/15>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<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))))))>

Calls

36 calls:

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

rewrite453.0ms (4%)

Memory

-22.7MiB live, 733.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 950×	`lower-fma.f32`
8 938×	`lower-fma.f64`
5 310×	`lower-*.f32`
5 300×	`lower-*.f64`
4 212×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	88
0	34	82
1	164	82
2	1210	82
0	8559	80

Stop Event

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

Counts

12 → 383

Calls

Call 1

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

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

simplify262.0ms (2.3%)

Memory

10.3MiB live, 419.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 852×	`lower-fma.f64`
7 852×	`lower-fma.f32`
3 030×	`lower-*.f64`
3 030×	`lower-*.f32`
1 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1084
1	241	1048
2	690	1048
3	2221	1048
4	6041	1048
0	8200	984

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 140

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))))
(* -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))
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)))))
(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 (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* 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)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 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) (- (* 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))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
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))))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* -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)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -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))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -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)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) 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)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* 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 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (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 -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.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 -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.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 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -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 -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.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 -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(* -17/315 (pow x 4))
(.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.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))))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.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))))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* -17/315 (pow x 4))
(.f64 #s(literal -17/315 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.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))))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(fma.f64 (.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))))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(+ 2/15 (* -17/315 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(* -17/315 (pow x 2))
(.f64 (.f64 x x) #s(literal -17/315 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(* -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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (-.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* -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 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))

eval94.0ms (0.8%)

Memory: 8.1MiB live, 163.0MiB allocated
Compiler: Compiled 20 123 to 1 466 computations (92.7% saved)

prune82.0ms (0.7%)

Memory

-11.1MiB live, 147.2MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	582	13	595
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	582	17	599

Accuracy

100.0%

Counts

599 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.6%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
	96.9%	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
	96.9%	(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
	96.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
▶	96.9%	(fma.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 2/15 binary64)))) x)
✓	96.9%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
	96.9%	(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) x)
	96.9%	(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) x)
▶	96.9%	(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) x)
	96.9%	(fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))))) x)
▶	96.9%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
	96.5%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
▶	96.5%	(fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x)
✓	96.5%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
	96.5%	(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) x)
▶	4.8%	(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 603 to 306 computations (49.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize155.0ms (1.4%)

Memory

0.2MiB live, 316.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 4/225 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 1/9 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	58.0%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 2/15 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) x)
✓	accuracy	99.5%	(.f64 x (/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 2/15 binary64)))
✓	accuracy	99.5%	(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))

Samples

83.0ms

256×

valid

Compiler

Compiled 355 to 41 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 34.0ms (53.4% of total)

const: 16.0ms (25.1% of total)

ival-add: 8.0ms (12.6% of total)

ival-div: 3.0ms (4.7% of total)

ival-sub: 2.0ms (3.1% of total)

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

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

series9.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))>
#<alt (.f64 x (.f64 x #s(literal 2/15 binary64)))>
#<alt (*.f64 x #s(literal 2/15 binary64))>
#<alt (+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))>
#<alt (*.f64 x #s(literal -1/3 binary64))>
#<alt (.f64 x (.f64 x #s(literal -1/3 binary64)))>
#<alt (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))>
#<alt (.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x)>
#<alt (*.f64 x x)>
#<alt (.f64 x (/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))>
#<alt (.f64 (.f64 x (*.f64 x x)) x)>
#<alt (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 2/15 binary64))))>
#<alt (.f64 (.f64 x x) #s(literal 1/9 binary64))>
#<alt (.f64 (.f64 x x) #s(literal 4/225 binary64))>

Outputs
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<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 -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (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 (* -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 (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 (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 1/9 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x x) (* (* x x) 4/225)))) (- (* x -1/3) (* (* x (* x x)) 2/15)))
1.0ms	x	@	inf	(* x (/ (+ (* 4/225 (* (* x (* x x)) x)) -1/9) (+ (* x (* x 2/15)) 1/3)))
1.0ms	x	@	0	(/ (- (* (* x x) 1/9) (* (* x x) (* (* x x) (* (* x x) 4/225)))) (- (* x -1/3) (* (* x (* x x)) 2/15)))
1.0ms	x	@	0	(* x (/ (+ (* 4/225 (* (* x (* x x)) x)) -1/9) (+ (* x (* x 2/15)) 1/3)))
0.0ms	x	@	inf	(+ (* (* x x) (* 2/15 (* x (* x x)))) x)

rewrite390.0ms (3.5%)

Memory

-17.2MiB live, 785.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 196×	`lower-fma.f32`
12 190×	`lower-fma.f64`
4 490×	`lower-*.f32`
4 460×	`lower-*.f64`
3 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	133
0	57	93
1	215	88
2	1579	86
0	8404	81

Stop Event

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

Counts

16 → 609

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(*.f64 x #s(literal 2/15 binary64))
(+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/3 binary64))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x)
(*.f64 x x)
(.f64 x (/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(.f64 (.f64 x (*.f64 x x)) x)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 2/15 binary64))))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(.f64 (.f64 x x) #s(literal 4/225 binary64))

Outputs
(+.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x #s(literal -1/3 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -2/15 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))))))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))))))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16/50625 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))))))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/81 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16/50625 binary64)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)) (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1/81 binary64) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))))) (fma.f64 #s(literal 1/81 binary64) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16/50625 binary64))) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/81 binary64) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16/50625 binary64))) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))))))
(-.f64 (/.f64 (.f64 #s(literal 1/81 binary64) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16/50625 binary64))) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))) (fma.f64 x (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x)) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(fma.f64 x (neg.f64 (.f64 (.f64 x x) #s(literal -2/15 binary64))) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 #s(literal 2/15 binary64) (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 x #s(literal 2/15 binary64)) (neg.f64 (neg.f64 (.f64 x x))) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) x (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) x (.f64 x (.f64 #s(literal 2/15 binary64) (*.f64 x x))))
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(.f64 (.f64 (fma.f64 x (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/45 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4/225 binary64))))))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4/225 binary64)) #s(literal 1/9 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))))) (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4/225 binary64))))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 8/3375 binary64) #s(literal -1/27 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 2/45 binary64))))))
(.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4/225 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/27 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -8/3375 binary64)))) (fma.f64 x (.f64 x #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 8/3375 binary64) #s(literal 1/27 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/729 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4/225 binary64))))))))))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -4/225 binary64)) #s(literal 1/9 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4/225 binary64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/3 binary64))))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(.f64 (.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(.f64 #s(literal 1/9 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/9 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 2/15 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(.f64 (.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(.f64 (.f64 x x) #s(literal 4/225 binary64))
(.f64 #s(literal 4/225 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 4/225 binary64)) x)

simplify284.0ms (2.5%)

Memory

2.9MiB live, 203.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 464×	`lower-*.f64`
4 464×	`lower-*.f32`
3 188×	`lower-fma.f64`
3 188×	`lower-fma.f32`
1 910×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	988
1	91	988
2	202	970
3	565	970
4	1449	970
5	3295	970
6	4131	970
7	5667	970
8	7722	970
0	8553	925

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

Inputs
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* 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)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (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)
(* -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 (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))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* 2/15 (pow x 4))))
(* x (+ 1 (* 2/15 (pow x 4))))
(* x (+ 1 (* 2/15 (pow x 4))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 1/9 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))

Outputs
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
x
(* x (+ 1 (* 2/15 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* x (+ 1 (* 2/15 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* x (+ 1 (* 2/15 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* 2/15 (pow x 5))
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* 2/15 (pow x 5))
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))

eval303.0ms (2.7%)

Memory: -12.5MiB live, 155.6MiB allocated
Compiler: Compiled 40 548 to 1 438 computations (96.5% saved)

prune215.0ms (1.9%)

Memory

14.0MiB live, 92.9MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1 040	8	1 048
Fresh	2	6	8
Picked	1	4	5
Done	0	4	4
Total	1 043	22	1 065

Accuracy

100.0%

Counts

1 065 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.6%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
▶	96.9%	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
	96.9%	(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
	96.5%	(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x)))) x x)
▶	96.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
▶	96.5%	(fma.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x x) x)
✓	96.9%	(fma.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 2/15 binary64)))) x)
	96.9%	(fma.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64)))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 2/15 binary64)))) x)
✓	96.9%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
	96.9%	(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) x)
	96.9%	(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) x)
✓	96.9%	(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) x)
▶	96.9%	(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)
✓	96.9%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
✓	96.5%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
	96.5%	(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) x)
	4.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
	4.8%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
▶	4.8%	(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
✓	4.8%	(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
	5.9%	(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 640 to 325 computations (49.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize350.0ms (3.1%)

Memory

-22.1MiB live, 100.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x x) x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 2/15 binary64) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 #s(literal 2/15 binary64) (.f64 x x))
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 2/15 binary64) (.f64 x x))
✓	accuracy	99.5%	(.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))

Samples

235.0ms

256×

valid

Compiler

Compiled 207 to 35 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

const: 93.0ms (72.3% of total)

ival-mult: 26.0ms (20.2% of total)

ival-add: 6.0ms (4.7% of total)

ival-div: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))>
#<alt (.f64 #s(literal 2/15 binary64) (.f64 x x))>
#<alt (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))>
#<alt (fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)>
#<alt (.f64 (.f64 x x) #s(literal -1/3 binary64))>
#<alt (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal -1/3 binary64))>
#<alt (.f64 x (.f64 x #s(literal -1/3 binary64)))>
#<alt (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)>
#<alt (.f64 x (.f64 #s(literal 2/15 binary64) (*.f64 x x)))>
#<alt (fma.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x x) x)>
#<alt (.f64 (.f64 x (*.f64 x x)) x)>
#<alt (*.f64 x #s(literal 2/15 binary64))>
#<alt (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)))>
#<alt (.f64 x (.f64 x x))>

Outputs
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<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 -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 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) (- (* 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 (* -1/3 (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 (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 (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 (* -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 (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 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 (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* x (+ 1 (* 2/15 (pow x 4))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 (* -1/9 (pow x 3))>
#<alt (* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))>
#<alt (* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))>
#<alt (* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))>
#<alt (* 4/225 (pow x 7))>
#<alt (* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 4/225 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))>
#<alt (* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))>
#<alt (* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* (* x (* x x)) (+ (* 4/225 (* (* x (* x x)) x)) -1/9))
0.0ms	x	@	-inf	(* (* x (* x x)) (+ (* 4/225 (* (* x (* x x)) x)) -1/9))
0.0ms	x	@	0	(* (* x (* x x)) (+ (* 4/225 (* (* x (* x x)) x)) -1/9))
0.0ms	x	@	-inf	(* x (- (* 2/15 (* x x)) 1/3))
0.0ms	x	@	0	(* x (- (* 2/15 (* x x)) 1/3))

rewrite793.0ms (7.1%)

Memory

-5.4MiB live, 430.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 012×	`lower-fma.f32`
13 004×	`lower-fma.f64`
6 274×	`lower-*.f32`
6 250×	`lower-*.f64`
3 604×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	44	104
1	152	95
2	965	95
0	8431	89

Stop Event

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

Counts

16 → 568

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x x)
(*.f64 x #s(literal -1/3 binary64))
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
(.f64 x (.f64 #s(literal 2/15 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) x)
(*.f64 x #s(literal 2/15 binary64))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)))
(.f64 x (.f64 x x))

Outputs
(+.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))))
(+.f64 (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1/3 binary64)))
(fma.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64))) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 x #s(literal -1/3 binary64) (.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x))))
(fma.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) x (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) x (.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 2/15 binary64) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 x #s(literal -1/3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x (fma.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 (fma.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64)) x)))
(/.f64 (.f64 x (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) (-.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x) (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x) (-.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64)) x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/225 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/225 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/3375 binary64)) (pow.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (-.f64 (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64))) (.f64 (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -1/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x))) (.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x #s(literal -1/3 binary64)))) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/225 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/225 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4/225 binary64) #s(literal 1/9 binary64)) x) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(.f64 (.f64 x (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))
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(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 16/50625 binary64)) #s(literal -1/81 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1/729 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 16/50625 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -4/2025 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify414.0ms (3.7%)

Memory

9.6MiB live, 443.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 298×	`lower-fma.f64`
7 298×	`lower-fma.f32`
3 382×	`lower-*.f64`
3 382×	`lower-*.f32`
1 006×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1086
1	180	1062
2	478	1044
3	1408	1044
4	3458	1028
5	5399	1028
6	7817	1028
0	8087	980

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

Calls

Call 1

Inputs
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* 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))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 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) (- (* 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))))))
(* -1/3 (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 (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))
(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)
(* -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 (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))
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)))))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
x
(* x (+ 1 (* 2/15 (pow x 4))))
(* x (+ 1 (* 2/15 (pow x 4))))
(* x (+ 1 (* 2/15 (pow x 4))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* 2/15 (pow x 5))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(* (pow x 5) (+ 2/15 (/ 1 (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)
(pow x 4)
(* 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)
(* -1/9 (pow x 3))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(* 4/225 (pow x 7))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(* 4/225 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* 2/15 (pow x 5))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (*.f64 x x))) x)
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (*.f64 x x))) x)
(* 2/15 (pow x 5))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (*.f64 x x))) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 (.f64 x x) (*.f64 x x))) x)
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* -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))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* -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)))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
x
(* x (+ 1 (* 2/15 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* x (+ 1 (* 2/15 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* x (+ 1 (* 2/15 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* 2/15 (pow x 5))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* 2/15 (pow x 5))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(* (pow x 5) (+ 2/15 (/ 1 (pow x 4))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64)))) x)
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* -1/9 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))))
(* 4/225 (pow x 7))
(*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 4/225 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 4/225 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 4/225 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* 4/225 (pow x 7))
(*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 4/225 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 4/225 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 4/225 binary64) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval341.0ms (3%)

Memory: -1.2MiB live, 314.9MiB allocated
Compiler: Compiled 31 029 to 1 791 computations (94.2% saved)

prune282.0ms (2.5%)

Memory

-2.6MiB live, 239.9MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	897	4	901
Fresh	4	5	9
Picked	1	4	5
Done	2	6	8
Total	904	19	923

Accuracy

100.0%

Counts

923 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.6%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
	96.9%	(fma.f64 (fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))))
	96.9%	(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
	97.1%	(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
	96.5%	(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x)))) x x)
✓	96.5%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
✓	96.5%	(fma.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x x) x)
✓	96.9%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
✓	96.9%	(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)
✓	96.9%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
✓	96.5%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
	96.5%	(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) x)
	96.9%	(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
	4.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
	4.8%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
	5.9%	(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
✓	4.8%	(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
✓	4.8%	(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 719 to 248 computations (65.5% saved)

regimes30.0ms (0.3%)

Memory

-2.6MiB live, 36.3MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) x)
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
(fma.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x)))) x x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))))) x)
(fma.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 2/15 binary64)))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) x)
(fma.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64)))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 2/15 binary64)))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) x)
(tanh.f64 x)
(/.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:

22.0ms	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)

regimes15.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) x)
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x)
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
(fma.f64 (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x))) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x x)))) x x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/15 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))))) x)
(fma.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 2/15 binary64)))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 #s(literal 4/225 binary64) (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) x)
(fma.f64 (.f64 x x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64)))))) (-.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 2/15 binary64)))) x)
(fma.f64 (.f64 x x) (.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (.f64 (*.f64 x x) #s(literal -2/45 binary64)))))) x)

Outputs
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)

Calls

2 calls:

8.0ms	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
97.1%	1	`x`
97.1%	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)

regimes51.0ms (0.5%)

Memory

-14.5MiB live, 23.5MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	x

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	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)

regimes8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	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)

regimes20.0ms (0.2%)

Memory

-22.5MiB live, 18.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	x

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	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)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
4.8%	1	`x`
4.8%	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)

simplify6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	36	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tanh.f64 x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))

Outputs
(tanh.f64 x)
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))

soundness1.1s (9.7%)

Memory

-14.2MiB live, 825.2MiB allocated

Rules

13 986×	`lower-fma.f64`
13 986×	`lower-fma.f32`
13 012×	`lower-fma.f32`
13 004×	`lower-fma.f64`
12 196×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	44	104
1	152	95
2	965	95
0	8431	89
0	31	133
0	57	93
1	215	88
2	1579	86
0	8404	81
0	79	374
1	232	374
2	554	364
3	1540	364
4	2394	364
5	3646	364
6	4040	364
7	5254	364
0	8038	341
0	94	1084
1	241	1048
2	690	1048
3	2221	1048
4	6041	1048
0	8200	984
0	7	27
0	13	12
1	55	12
2	424	12
3	7080	12
0	8062	12
0	71	1086
1	180	1062
2	478	1044
3	1408	1044
4	3458	1028
5	5399	1028
6	7817	1028
0	8087	980
0	16	88
0	34	82
1	164	82
2	1210	82
0	8559	80

Stop Event

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

Compiler

Compiled 195 to 100 computations (48.7% saved)

preprocess42.0ms (0.4%)

Memory: 14.7MiB live, 92.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 162 to 70 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample4.1s (36.4%)

preprocess99.0ms (0.9%)

explain225.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize81.0ms (0.7%)

series3.0ms (0%)

rewrite323.0ms (2.9%)

simplify403.0ms (3.6%)

eval127.0ms (1.1%)

prune87.0ms (0.8%)

simplify0.0ms (0%)

localize82.0ms (0.7%)

series12.0ms (0.1%)

rewrite453.0ms (4%)

simplify262.0ms (2.3%)

eval94.0ms (0.8%)

prune82.0ms (0.7%)

simplify0.0ms (0%)

localize155.0ms (1.4%)

series9.0ms (0.1%)

rewrite390.0ms (3.5%)

simplify284.0ms (2.5%)

eval303.0ms (2.7%)

prune215.0ms (1.9%)

simplify0.0ms (0%)

localize350.0ms (3.1%)

series4.0ms (0%)

rewrite793.0ms (7.1%)

simplify414.0ms (3.7%)

eval341.0ms (3%)

prune282.0ms (2.5%)

regimes30.0ms (0.3%)

regimes15.0ms (0.1%)

regimes51.0ms (0.5%)

regimes8.0ms (0.1%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness1.1s (9.7%)

preprocess42.0ms (0.4%)

end0.0ms (0%)

Profiling