Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample4.2s (37.5%)

Memory

-132.8MiB live, 5 060.8MiB allocated

Samples

1.4s	2 952×	2	valid
1.1s	7 918×	0	exit
862.0ms	4 728×	1	valid
133.0ms	576×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-exp: 1.6s (56.4% of total)

ival-div: 454.0ms (15.9% of total)

ival-sub: 229.0ms (8% of total)

adjust: 191.0ms (6.7% of total)

ival-neg: 190.0ms (6.7% of total)

ival-add: 162.0ms (5.7% of total)

ival-true: 12.0ms (0.4% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

preprocess116.0ms (1.1%)

Memory

-23.0MiB live, 61.6MiB 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)

explain218.0ms (2%)

Memory

8.3MiB live, 276.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
2	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	253	1
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	2
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	2
↳	`(exp.f64 x)`	overflow	2

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	1	0

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms	170×	2	valid
57.0ms	324×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-exp: 69.0ms (67.3% of total)

adjust: 10.0ms (9.8% of total)

ival-add: 8.0ms (7.8% of total)

ival-div: 7.0ms (6.8% of total)

ival-sub: 5.0ms (4.9% of total)

ival-neg: 2.0ms (2% 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(/.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)

simplify48.0ms (0.4%)

Memory

28.4MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	11648	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Rules

528×	`lower-fma.f64`
528×	`lower-fma.f32`
336×	`lower-*.f64`
336×	`lower-*.f32`
224×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	13	33
1	25	33
2	42	33
3	67	33
4	122	33
5	276	33
6	462	33
7	682	33
8	905	33
9	1058	33
10	1186	33
11	1233	33
0	1233	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize75.0ms (0.7%)

Memory

-5.4MiB live, 110.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	99.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	7.8%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

33.0ms	85×	2	valid
30.0ms	162×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-exp: 36.0ms (68.3% of total)

adjust: 7.0ms (13.3% of total)

ival-div: 4.0ms (7.6% of total)

ival-sub: 3.0ms (5.7% of total)

ival-add: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series3.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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 (exp.f64 x)>
#<alt (exp.f64 (neg.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 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

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)))

rewrite275.0ms (2.5%)

Memory

-4.2MiB live, 315.7MiB 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	24
0	13	11
1	55	11
2	424	11
3	7080	11
0	8062	11

Stop Event

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

Counts

4 → 499

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

simplify351.0ms (3.2%)

Memory

19.0MiB live, 451.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 662×	`lower-fma.f64`
14 662×	`lower-fma.f32`
3 632×	`lower-*.f64`
3 632×	`lower-*.f32`
3 070×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	339
1	220	338
2	491	332
3	1300	332
4	2176	332
5	3649	332
6	4346	332
7	5827	332
8	7955	332
0	8255	310

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))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))

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

eval69.0ms (0.6%)

Memory: 2.5MiB live, 119.7MiB allocated
Compiler: Compiled 13 594 to 1 345 computations (90.1% saved)

prune64.0ms (0.6%)

Memory

-9.5MiB live, 148.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	586	4	590
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	587	4	591

Accuracy

100.0%

Counts

591 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	99.2%	(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)
▶	99.1%	(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)

simplify347.0ms (3.1%)

Memory

0.1MiB live, 477.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

11 378×	`lower-fma.f32`
11 366×	`lower-fma.f64`
3 626×	`lower-*.f32`
3 618×	`lower-*.f64`
1 706×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	106
0	32	97
1	85	97
2	191	97
3	369	97
4	718	97
5	1132	97
6	1573	97
7	2151	97
8	3270	97
9	5958	97
0	8082	96

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (0.9%)

Memory

-16.8MiB live, 101.4MiB allocated

Localize:

Found 12 expressions of interest:

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

55.0ms

256×

valid

Compiler

Compiled 119 to 23 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 26.0ms (60.5% of total)

const: 9.0ms (21% of total)

ival-add: 6.0ms (14% of total)

ival-tanh: 1.0ms (2.3% of total)

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

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

series10.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

9 → 108

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

Calls

27 calls:

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

rewrite482.0ms (4.4%)

Memory

-7.7MiB live, 642.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 442×	`lower-fma.f32`
9 432×	`lower-fma.f64`
5 442×	`lower-*.f32`
5 434×	`lower-*.f64`
3 448×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	29	56
1	137	56
2	961	56
0	8294	55

Stop Event

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

Counts

9 → 354

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 (.f64 x x))
(.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(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))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 x x) #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)))))))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 x x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 #s(literal 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 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal -1 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 (exp.f64 (+.f64 x x)) #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))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x #s(literal 2 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) (exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (neg.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (fma.f64 (/.f64 (exp.f64 (neg.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 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 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.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 (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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (fma.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (/.f64 (exp.f64 (neg.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 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 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.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 (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 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.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) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (+.f64 x x))))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(tanh.f64 x)
(.f64 x (.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 x x) #s(literal -1/3 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/3 binary64)) x)
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 x (.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 x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 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 (.f64 (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 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 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 (.f64 x x) (.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))) #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x)))))
(.f64 (.f64 (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 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 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)))))))
(.f64 (.f64 (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 (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 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 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (.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))) #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) (neg.f64 x))))))
(.f64 (neg.f64 (.f64 (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 (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1 binary64))))))
(.f64 (.f64 (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 (.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) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))))))
(.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)

simplify304.0ms (2.7%)

Memory

-11.2MiB live, 435.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 898×	`lower-fma.f64`
7 898×	`lower-fma.f32`
3 078×	`lower-*.f64`
3 078×	`lower-*.f32`
1 604×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	816
1	191	786
2	509	786
3	1617	786
4	4492	786
5	7586	786
0	8051	737

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

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

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

eval78.0ms (0.7%)

Memory: 2.6MiB live, 196.8MiB allocated
Compiler: Compiled 15 895 to 1 243 computations (92.2% saved)

prune46.0ms (0.4%)

Memory

20.0MiB live, 138.4MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	547	4	551
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	547	8	555

Accuracy

100.0%

Counts

555 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.2%	(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)
▶	99.2%	(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
▶	99.2%	(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
▶	99.1%	(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
✓	99.1%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
▶	5.1%	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 107 to 58 computations (45.8% saved)

simplify261.0ms (2.4%)

Memory

-14.3MiB live, 397.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (.f64 x (.f64 x x)))
✓	cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
✓	cost-diff	0	(*.f64 x #s(literal 2/15 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 2/15 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 2/15 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))

Rules

7 976×	`lower-fma.f32`
7 964×	`lower-fma.f64`
4 202×	`lower-*.f32`
4 186×	`lower-*.f64`
1 976×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	170
0	42	155
1	89	152
2	193	145
3	436	143
4	1073	142
5	1710	142
6	2583	142
7	3752	142
8	5068	142
9	7006	142
0	8163	136

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (1.9%)

Memory

6.7MiB live, 164.2MiB allocated

Localize:

Found 15 expressions of interest:

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

Samples

158.0ms

256×

valid

Compiler

Compiled 184 to 29 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

const: 117.0ms (81.7% of total)

ival-mult: 18.0ms (12.6% of total)

ival-add: 6.0ms (4.2% of total)

ival-div: 2.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

12 → 144

Calls

Call 1

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

Outputs
#<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 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 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 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 (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt -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 (* 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))>
#<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 3>
#<alt (+ 3 (* -6/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))>
#<alt (/ 15/2 (pow x 2))>
#<alt (/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 15/2 (pow x 2))>
#<alt (/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))>

Calls

36 calls:

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

rewrite614.0ms (5.5%)

Memory

-11.9MiB live, 425.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 764×	`lower-fma.f32`
11 754×	`lower-fma.f64`
6 044×	`lower-*.f32`
6 028×	`lower-*.f64`
3 468×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	39	84
1	147	80
2	1000	78
0	8910	75

Stop Event

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

Counts

12 → 550

Calls

Call 1

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

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

simplify630.0ms (5.7%)

Memory

2.4MiB live, 351.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 162×	`lower-fma.f64`
8 162×	`lower-fma.f32`
2 906×	`lower-*.f64`
2 906×	`lower-*.f32`
1 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	966
1	238	952
2	579	934
3	1571	934
4	3665	934
5	6766	934
0	8084	883

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

Inputs
(* -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 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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)
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))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
-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))))))
(* 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))
(* -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)))
3
(+ 3 (* -6/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))
(/ 15/2 (pow x 2))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/ 15/2 (pow x 2))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))

Outputs
(* -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 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 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))
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)
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x 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 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) 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 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* 2/15 (pow x 5))
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
(* 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)))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 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 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 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 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x (.f64 x x))))))
3
#s(literal 3 binary64)
(+ 3 (* -6/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -6/5 binary64) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 12/25 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -24/125 binary64)) #s(literal 12/25 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(/ 15/2 (pow x 2))
(/.f64 #s(literal 15/2 binary64) (*.f64 x x))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1875/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 15/2 (pow x 2))
(/.f64 #s(literal 15/2 binary64) (*.f64 x x))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1875/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))

eval385.0ms (3.5%)

Memory: 9.0MiB live, 250.8MiB allocated
Compiler: Compiled 29 797 to 1 829 computations (93.9% saved)

prune86.0ms (0.8%)

Memory

10.6MiB live, 208.7MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	849	5	854
Fresh	0	0	0
Picked	3	1	4
Done	0	4	4
Total	852	10	862

Accuracy

100.0%

Counts

862 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.2%	(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)
▶	99.3%	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
✓	99.1%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
▶	5.1%	(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
▶	5.1%	(.f64 (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))
▶	5.2%	(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
▶	5.8%	(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	5.1%	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 171 to 99 computations (42.1% saved)

simplify237.0ms (2.1%)

Memory

-5.1MiB live, 151.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
✓	cost-diff	0	(*.f64 #s(literal -1/3 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)

Rules

2 192×	`lower-fma.f32`
2 186×	`lower-fma.f64`
1 472×	`lower-*.f32`
1 448×	`lower-*.f64`
1 070×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	154
0	41	138
1	85	127
2	191	125
3	317	125
4	415	125
5	520	125
6	653	125
7	786	125
8	1376	125
9	1832	125
10	2629	125
11	3447	125
12	3756	125
13	3760	125
14	3761	125
15	3761	125
16	3888	125
17	3924	125
18	3924	125
19	3924	125
20	3926	125
0	3926	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (0.8%)

Memory

3.4MiB live, 212.8MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

59.0ms

256×

valid

Compiler

Compiled 163 to 27 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 25.0ms (57.6% of total)

const: 13.0ms (30% of total)

ival-add: 3.0ms (6.9% of total)

ival-div: 2.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-20.6MiB live, 18.2MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#<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 (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<alt (* -1/9 (pow x 3))>
#<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 (* -4/75 (pow x 2)))) 1/3))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4))))>
#<alt (* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))))))>
#<alt 3>
#<alt (+ 3 (* -6/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))>
#<alt (/ 15/2 (pow x 2))>
#<alt (/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 15/2 (pow x 2))>
#<alt (/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (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 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 (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 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (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 (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 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 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 2/15 (* 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)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<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)))))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* (* (* x (* x x)) -1/9) (/ -1 (+ (* (* x x) -2/15) -1/3))) x)
0.0ms	x	@	-inf	(* x (* 2/15 (* x (* x (* x x)))))
0.0ms	x	@	inf	(* (* x (* x x)) -1/9)
0.0ms	x	@	-inf	(* (* x (* x x)) -1/9)
0.0ms	x	@	0	(* -1/3 x)

rewrite324.0ms (2.9%)

Memory

7.8MiB live, 644.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 372×	`lower-fma.f32`
9 366×	`lower-fma.f64`
5 904×	`lower-*.f32`
5 880×	`lower-*.f64`
2 642×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	41	103
1	129	92
2	755	90
0	8044	89

Stop Event

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

Counts

15 → 487

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(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)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(neg.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(.f64 x (neg.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(.f64 x (.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/9 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(.f64 #s(literal -1/9 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal -1/9 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))))
(.f64 #s(literal -1/9 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)))
(.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/9 binary64)) x)
(.f64 (.f64 (.f64 x x) #s(literal -1/9 binary64)) (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))
(.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/9 binary64)))
(.f64 (.f64 x #s(literal -1/9 binary64)) (*.f64 x x))
(.f64 (.f64 x #s(literal -1/9 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 x (*.f64 x x))) #s(literal 1/9 binary64))
(.f64 (.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal -1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x #s(literal -1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1/9 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/9 binary64))) x)
(.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/9 binary64))) (.f64 x x))
(+.f64 x (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (+.f64 x (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))))
(fma.f64 x (/.f64 (.f64 (.f64 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 x x) (.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (/.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (neg.f64 x)))))
(fma.f64 #s(literal -1/9 binary64) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
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(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64)))) (.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/19683 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -8/91125 binary64))))))
(/.f64 (fma.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)) (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 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/50625 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 4/2025 binary64) #s(literal 1/81 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x 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 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 #s(literal -1/27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64)))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (.f64 (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))) (fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64)))) (.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -8/91125 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/729 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/50625 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 4/2025 binary64) #s(literal 1/81 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/50625 binary64) #s(literal -1/81 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal 1/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64)) (fma.f64 #s(literal 64/11390625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 16/50625 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (.f64 (.f64 x x) #s(literal -2/45 binary64))))
(.f64 (/.f64 (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)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal 1/27 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)))

simplify254.0ms (2.3%)

Memory

14.0MiB live, 570.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 828×	`lower-fma.f64`
8 828×	`lower-fma.f32`
3 056×	`lower-*.f64`
3 056×	`lower-*.f32`
1 868×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1100
1	256	1094
2	663	1094
3	2093	1082
4	5574	1082
0	8197	1043

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

Calls

Call 1

Inputs
(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)
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
(* -1/9 (pow x 3))
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 (* -4/75 (pow x 2)))) 1/3))))
(* 1/6 x)
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4))))
(* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4))))
(* 1/6 x)
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))))))
3
(+ 3 (* -6/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))
(/ 15/2 (pow x 2))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/ 15/2 (pow x 2))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (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 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 (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 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 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)
(pow x 4)
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 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 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- 2/15 (* 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 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
-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)))))

Outputs
(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))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x 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 (* -4/75 (pow x 2)))) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -4/75 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(* x (- (+ 1/6 (* 25/12 (/ 1 (pow x 2)))) (/ 125/24 (pow x 4))))
(+.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x)) (/.f64 #s(literal -125/24 binary64) (.f64 x (.f64 x x))))
(* x (- (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))) (/ 125/24 (pow x 4))))
(fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 25/12 binary64) x) (/.f64 #s(literal -125/24 binary64) (.f64 x (.f64 x x)))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (* 25/12 (/ 1 (pow x 2)))))))
(+.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x)) (/.f64 #s(literal -125/24 binary64) (.f64 x (.f64 x x))))
(* -1 (* x (- (/ 125/24 (pow x 4)) (+ 1/6 (+ (* 25/12 (/ 1 (pow x 2))) (* 625/48 (/ 1 (pow x 6))))))))
(fma.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 625/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 25/12 binary64) x) (/.f64 #s(literal -125/24 binary64) (.f64 x (.f64 x x)))))
3
#s(literal 3 binary64)
(+ 3 (* -6/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -6/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 12/25 binary64)) #s(literal -6/5 binary64))) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -24/125 binary64)) #s(literal 12/25 binary64)) #s(literal -6/5 binary64))) #s(literal 3 binary64))
(/ 15/2 (pow x 2))
(/.f64 #s(literal 15/2 binary64) (*.f64 x x))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (+.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -75/4 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (+.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -75/4 binary64) (.f64 x x)))) (/.f64 #s(literal -1875/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(/ 15/2 (pow x 2))
(/.f64 #s(literal 15/2 binary64) (*.f64 x x))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (+.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -75/4 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (+.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -75/4 binary64) (.f64 x x)))) (/.f64 #s(literal -1875/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.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 (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 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 4))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.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))
(- (* 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))

eval143.0ms (1.3%)

Memory: 18.8MiB live, 209.1MiB allocated
Compiler: Compiled 20 491 to 1 508 computations (92.6% saved)

prune74.0ms (0.7%)

Memory

-10.7MiB live, 187.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	791	3	794
Fresh	0	0	0
Picked	5	0	5
Done	1	4	5
Total	797	7	804

Accuracy

100.0%

Counts

804 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.2%	(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)
	99.3%	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64))) x)
	24.8%	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
✓	99.1%	(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
	16.6%	(*.f64 x #s(literal 1/6 binary64))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 325 to 120 computations (63.1% saved)

regimes11.0ms (0.1%)

Memory

-13.1MiB live, 25.5MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
(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)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 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:

7.0ms	x
4.0ms	(/.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)

regimes9.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
(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)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -8/3375 binary64))) #s(literal -1/27 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 2/45 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64))) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	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)

regimes10.0ms (0.1%)

Memory

-23.9MiB live, 16.6MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
(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)

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

Calls

2 calls:

6.0ms	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
99.2%	1	`x`
99.2%	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)

regimes6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(.f64 x (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)

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

Calls

2 calls:

3.0ms	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
99.1%	1	`x`
99.1%	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)

regimes4.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Accuracy

Total -7.4b remaining (-13.8%)

Threshold costs -7.4b (-13.8%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/3 binary64) x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)

Outputs
(*.f64 x #s(literal 1/6 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
16.6%	1	`x`
16.6%	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)

simplify8.0ms (0.1%)

Memory

-22.9MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	43
1	27	43

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tanh.f64 x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))

Outputs
(tanh.f64 x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))

soundness866.0ms (7.8%)

Memory

24.3MiB live, 674.5MiB allocated

Rules

14 662×	`lower-fma.f64`
14 662×	`lower-fma.f32`
9 442×	`lower-fma.f32`
9 432×	`lower-fma.f64`
8 828×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	29	56
1	137	56
2	961	56
0	8294	55
0	77	339
1	220	338
2	491	332
3	1300	332
4	2176	332
5	3649	332
6	4346	332
7	5827	332
8	7955	332
0	8255	310
0	97	966
1	238	952
2	579	934
3	1571	934
4	3665	934
5	6766	934
0	8084	883
0	103	1100
1	256	1094
2	663	1094
3	2093	1082
4	5574	1082
0	8197	1043
0	7	24
0	13	11
1	55	11
2	424	11
3	7080	11
0	8062	11

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

Compiler

Compiled 167 to 87 computations (47.9% saved)

preprocess85.0ms (0.8%)

Memory: -32.1MiB live, 127.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 128 to 64 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample4.2s (37.5%)

preprocess116.0ms (1.1%)

explain218.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify48.0ms (0.4%)

localize75.0ms (0.7%)

series3.0ms (0%)

rewrite275.0ms (2.5%)

simplify351.0ms (3.2%)

eval69.0ms (0.6%)

prune64.0ms (0.6%)

simplify347.0ms (3.1%)

localize104.0ms (0.9%)

series10.0ms (0.1%)

rewrite482.0ms (4.4%)

simplify304.0ms (2.7%)

eval78.0ms (0.7%)

prune46.0ms (0.4%)

simplify261.0ms (2.4%)

localize207.0ms (1.9%)

series7.0ms (0.1%)

rewrite614.0ms (5.5%)

simplify630.0ms (5.7%)

eval385.0ms (3.5%)

prune86.0ms (0.8%)

simplify237.0ms (2.1%)

localize94.0ms (0.8%)

series8.0ms (0.1%)

rewrite324.0ms (2.9%)

simplify254.0ms (2.3%)

eval143.0ms (1.3%)

prune74.0ms (0.7%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness866.0ms (7.8%)

preprocess85.0ms (0.8%)

end0.0ms (0%)

Profiling