Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample5.1s (47.7%)

Memory

-159.9MiB live, 5 637.4MiB allocated

Samples

2.2s	2 992×	2	valid
992.0ms	4 696×	1	valid
813.0ms	7 920×	0	exit
76.0ms	568×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-exp: 2.2s (67% of total)

ival-add: 384.0ms (11.6% of total)

ival-div: 268.0ms (8.1% of total)

adjust: 194.0ms (5.9% of total)

ival-sub: 163.0ms (4.9% of total)

ival-neg: 65.0ms (2% of total)

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

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

Bogosity

preprocess109.0ms (1%)

Memory

-22.4MiB live, 105.7MiB 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)

explain219.0ms (2%)

Memory

12.7MiB live, 487.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
247	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
7	-	-	`(/.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	247	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	7	0
↳	`(exp.f64 x)`	overflow	7
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	7
↳	`(exp.f64 x)`	overflow	7

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	1	1

Precision?

0.996078431372549

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms	186×	2	valid
56.0ms	294×	1	valid
2.0ms	32×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-exp: 78.0ms (68.1% of total)

adjust: 14.0ms (12.2% of total)

ival-add: 8.0ms (7% of total)

ival-div: 7.0ms (6.1% of total)

ival-sub: 5.0ms (4.4% of total)

ival-neg: 2.0ms (1.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(/.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)

simplify47.0ms (0.4%)

Memory

8.2MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize80.0ms (0.7%)

Memory

-19.9MiB live, 186.1MiB 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	97.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	10.5%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

39.0ms	93×	2	valid
29.0ms	147×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-exp: 39.0ms (70.7% of total)

adjust: 7.0ms (12.7% of total)

ival-div: 4.0ms (7.3% of total)

ival-sub: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

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

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

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

series3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

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))) (+ (exp x) (exp (neg x))))
0.0ms	x	@	0	(- (exp x) (exp (neg x)))
0.0ms	x	@	0	(exp x)

rewrite256.0ms (2.4%)

Memory

34.8MiB live, 298.6MiB 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 (-.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)
(exp.f64 (neg.f64 x))

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

simplify334.0ms (3.1%)

Memory

0.0MiB live, 440.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 776×	`lower-fma.f64`
13 776×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
2 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	339
1	220	338
2	490	332
3	1295	332
4	2170	332
5	3645	332
6	4343	332
7	5854	332
8	7984	332
0	8018	310

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))

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

eval68.0ms (0.6%)

Memory: -9.1MiB live, 105.4MiB allocated
Compiler: Compiled 13 594 to 1 346 computations (90.1% saved)

prune61.0ms (0.6%)

Memory

-7.8MiB live, 112.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	587	3	590
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	588	3	591

Accuracy

100.0%

Counts

591 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
▶	96.4%	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
▶	100.0%	(tanh.f64 x)

Compiler

Compiled 26 to 14 computations (46.2% saved)

simplify344.0ms (3.2%)

Memory

-15.5MiB live, 428.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

14 122×	`lower-fma.f32`
14 116×	`lower-fma.f64`
3 646×	`lower-*.f32`
3 640×	`lower-*.f64`
1 636×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	54
0	20	54
1	61	54
2	154	52
3	242	52
4	320	52
5	422	52
6	726	52
7	1172	52
8	2021	52
9	5105	52
0	8125	50

Stop Event

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

Calls

Call 1

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

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

localize44.0ms (0.4%)

Memory

-6.4MiB live, 76.6MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

30.0ms

256×

valid

Compiler

Compiled 61 to 15 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 9.0ms (42.1% of total)

const: 6.0ms (28.1% of total)

ival-add: 5.0ms (23.4% of total)

ival-tanh: 1.0ms (4.7% of total)

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

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

series10.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (tanh.f64 x)>
#<alt (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)>
#<alt (.f64 #s(literal -1/3 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)>
#<alt (.f64 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 x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt -1/3>
#<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

21 calls:

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

rewrite482.0ms (4.5%)

Memory

6.9MiB live, 552.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 296×	`lower-fma.f32`
9 290×	`lower-fma.f64`
5 114×	`lower-*.f32`
5 108×	`lower-*.f64`
2 916×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	20	45
1	98	43
2	691	43
3	7144	43
0	8063	41

Stop Event

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

Counts

7 → 418

Calls

Call 1

Inputs
(tanh.f64 x)
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(.f64 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
(+.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 1/2 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)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (.f64 x #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))) (expm1.f64 (+.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(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 (sinh.f64 x) (cosh.f64 x))
(/.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 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (.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 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x #s(literal 2 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 (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 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (*.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 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (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 (.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 (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) (+.f64 #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))))) (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 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)))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (expm1.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 x #s(literal -2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #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)) (exp.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (fma.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(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 1/2 binary64) (cosh.f64 x)))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (tanh.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))))
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(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.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 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x 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 x (.f64 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 x (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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)))
(.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) (-.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/45 binary64) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (.f64 x 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 x (.f64 (.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 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64)) (.f64 x (.f64 x #s(literal -2/45 binary64)))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) #s(literal -1/9 binary64)) (.f64 x (.f64 x #s(literal -2/45 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 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 x (.f64 x (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 x (*.f64 x #s(literal -2/45 binary64)) #s(literal 1/9 binary64))))

simplify251.0ms (2.3%)

Memory

15.3MiB live, 425.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 300×	`lower-fma.f64`
8 300×	`lower-fma.f32`
2 642×	`lower--.f64`
2 642×	`lower--.f32`
2 480×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	646
1	160	616
2	437	616
3	1402	616
4	3697	616
5	6416	616
0	8104	578

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 81

Calls

Call 1

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

eval109.0ms (1%)

Memory: -15.6MiB live, 174.1MiB allocated
Compiler: Compiled 18 013 to 1 277 computations (92.9% saved)

prune119.0ms (1.1%)

Memory

0.8MiB live, 199.5MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	523	12	535
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	523	15	538

Accuracy

100.0%

Counts

538 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
	96.8%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x x)
	96.8%	(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x (fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x))
▶	96.8%	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
▶	96.8%	(fma.f64 (.f64 x x) (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x)
	96.8%	(fma.f64 (.f64 x x) (/.f64 (.f64 x (fma.f64 x (.f64 (.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))) x)
	96.8%	(fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (/.f64 x (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)))) x)
✓	96.8%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
▶	96.8%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
	96.4%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
	96.4%	(fma.f64 x (.f64 (.f64 x #s(literal -1/3 binary64)) x) x)
✓	96.4%	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
▶	96.4%	(+.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
▶	5.0%	(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 444 to 232 computations (47.7% saved)

simplify16.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x)
✓	cost-diff	320	(fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓	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 x (.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/3 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))

Rules

316×	`lower-fma.f32`
308×	`lower-fma.f64`
232×	`lower-*.f32`
218×	`lower-*.f64`
120×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	154
0	36	140
1	78	134
2	152	134
3	203	134
4	221	134
5	221	134
6	285	134
7	285	134
0	285	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize220.0ms (2%)

Memory

17.8MiB live, 131.5MiB allocated

Localize:

Found 19 expressions of interest:

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

Samples

45.0ms

256×

valid

Compiler

Compiled 166 to 22 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 17.0ms (55.9% of total)

ival-add: 7.0ms (23% of total)

const: 6.0ms (19.7% of total)

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

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

series28.0ms (0.3%)

Memory

-42.8MiB live, 45.0MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(* (* x x) 2/15)
2.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	-inf	(* x (* (* x x) 2/15))
0.0ms	x	@	-inf	(* x (* -1/3 (* x x)))
0.0ms	x	@	inf	(+ (* x -1/3) (* x (* (* x x) 2/15)))

rewrite557.0ms (5.2%)

Memory

13.9MiB live, 944.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

16 114×	`lower-fma.f32`
16 106×	`lower-fma.f64`
6 816×	`lower-*.f32`
6 802×	`lower-*.f64`
3 298×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	112
0	36	98
1	152	94
2	912	94
0	8516	93

Stop Event

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

Counts

14 → 727

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 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 #s(literal 1/9 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (.f64 (.f64 x 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))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
(neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (neg.f64 (+.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))))))
(neg.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) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 (.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 (.f64 x x) #s(literal 4/225 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 2/45 binary64)))))
(neg.f64 (/.f64 (neg.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) #s(literal 2/15 binary64) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 x (.f64 (.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 (.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 x (.f64 (.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 (*.f64 x x) #s(literal 4/225 binary64)) #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)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64)))) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -4/225 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) (neg.f64 (+.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 (neg.f64 (fma.f64 x (.f64 (.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) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64))))))
(/.f64 (neg.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) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -4/225 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 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 1/9 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 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -4/225 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 (.f64 x 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 (.f64 x 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 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 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64))) (fma.f64 (.f64 x 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))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 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 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) #s(literal 1 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)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x 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) (+.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 #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 (.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) (+.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))))) (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)))) (+.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 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/2025 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 (.f64 x 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 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.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 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #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 #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 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 (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 1/9 binary64) (.f64 #s(literal -4/225 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal -2/15 binary64)))))
(+.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64)))) x))
(+.f64 (fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x) (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))) (fma.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))) x))
(+.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))))
(+.f64 (fma.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/9 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) x)) (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64)))) x)) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))))))
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(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))))
(/.f64 (.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))))) (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (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)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))))) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (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)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))) (fma.f64 x (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.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 x (.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))))
(/.f64 (.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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)))) x)) (.f64 x (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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)))) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)) #s(literal -1 binary64))
(.f64 x (+.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x 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 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) 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 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))))
(.f64 (.f64 (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) 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 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)))))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))))))
(.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (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 (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x))
(.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) 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 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x 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 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))))))))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x))))
(.f64 (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x 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 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 x (.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 2/15 binary64)))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 2/15 binary64))
(.f64 (.f64 x #s(literal 2/15 binary64)) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/15 binary64)))
(.f64 (.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.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)

simplify238.0ms (2.2%)

Memory

-10.1MiB live, 352.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 468×	`lower-fma.f64`
5 468×	`lower-fma.f32`
2 862×	`lower-*.f64`
2 862×	`lower-*.f32`
1 128×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1160
1	123	1124
2	347	1124
3	1138	1124
4	3067	1124
5	4826	1124
6	6975	1124
0	8029	1064

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

eval130.0ms (1.2%)

Memory: 18.0MiB live, 279.9MiB allocated
Compiler: Compiled 33 601 to 1 226 computations (96.4% saved)

prune111.0ms (1%)

Memory

-7.5MiB live, 152.3MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 060	9	1 069
Fresh	4	3	7
Picked	1	4	5
Done	0	3	3
Total	1 065	19	1 084

Accuracy

100.0%

Counts

1 084 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(fma.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
▶	96.8%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x x)
✓	96.8%	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
	96.8%	(fma.f64 (.f64 x (.f64 x x)) (/.f64 (fma.f64 x (.f64 (.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 (*.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64))))) x)
	96.8%	(fma.f64 (.f64 x (.f64 x x)) (/.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -4/225 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal -2/15 binary64)))) x)
	96.4%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
✓	96.8%	(fma.f64 (.f64 x x) (fma.f64 x #s(literal -1/3 binary64) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64)))) x)
✓	96.8%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
▶	96.8%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x #s(literal 2/15 binary64)) x) #s(literal -1/3 binary64))) x)
	96.4%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
▶	96.4%	(fma.f64 (.f64 x x) (.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x x))) x)
✓	96.4%	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
✓	96.4%	(+.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
▶	5.0%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
	5.0%	(.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
▶	5.0%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
	96.8%	(.f64 x (+.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
✓	5.0%	(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 454 to 248 computations (45.4% saved)

simplify15.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

316×	`lower-fma.f32`
308×	`lower-fma.f64`
232×	`lower-*.f32`
212×	`lower-*.f64`
122×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	148
0	39	131
1	91	131
2	155	131
3	199	130
4	221	128
5	290	128
6	290	128
0	290	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (0.8%)

Memory

-38.2MiB live, 174.5MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

56.0ms

256×

valid

Compiler

Compiled 157 to 25 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 24.0ms (58.5% of total)

const: 9.0ms (21.9% of total)

ival-add: 8.0ms (19.5% of total)

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

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

series18.0ms (0.2%)

Memory

6.8MiB live, 46.1MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite493.0ms (4.6%)

Memory

10.1MiB live, 681.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 642×	`lower-fma.f32`
11 634×	`lower-fma.f64`
5 716×	`lower-*.f32`
5 696×	`lower-*.f64`
2 494×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	119
0	39	104
1	153	104
2	673	101
3	6621	101
0	8334	98

Stop Event

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

Counts

16 → 802

Calls

Call 1

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

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

simplify275.0ms (2.5%)

Memory

22.7MiB live, 413.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 784×	`lower-fma.f64`
8 784×	`lower-fma.f32`
2 854×	`lower-*.f64`
2 854×	`lower-*.f32`
1 678×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1190
1	131	1162
2	321	1144
3	945	1144
4	2366	1144
5	4497	1144
6	6780	1144
0	8158	1060

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

Calls

Call 1

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

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

eval160.0ms (1.5%)

Memory: -31.5MiB live, 343.3MiB allocated
Compiler: Compiled 37 412 to 1 645 computations (95.6% saved)

prune94.0ms (0.9%)

Memory

-2.6MiB live, 234.1MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 102	6	1 108
Fresh	4	3	7
Picked	2	3	5
Done	2	5	7
Total	1 110	17	1 127

Accuracy

100.0%

Counts

1 127 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) #s(literal -1/27 binary64))) x) (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))) x x)
	96.8%	(fma.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 (/.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 x x))) x x)
	96.8%	(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) x (.f64 x #s(literal -1/3 binary64)))) x x)
✓	96.8%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x x)
✓	96.8%	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) x)
	96.4%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
	96.8%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)))))) x)
✓	96.4%	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
✓	96.4%	(+.f64 (.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
	5.9%	(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 2/15 binary64) x))
✓	5.0%	(.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))
	5.0%	(.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
	5.3%	(.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64))))
✓	5.0%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
	96.8%	(.f64 x (+.f64 (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))))))
✓	5.0%	(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 768 to 251 computations (67.3% saved)

regimes20.0ms (0.2%)

Memory

-4.6MiB live, 35.1MiB allocated

Counts

31 → 1

Calls

Call 1

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

8.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

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

Compiler

Compiled 16 to 8 computations (50% saved)

regimes15.0ms (0.1%)

Memory

35.5MiB live, 35.5MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes9.0ms (0.1%)

Memory

-20.2MiB live, 17.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	x

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	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

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

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

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

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
5.0%	1	`x`
5.0%	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)

simplify6.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	14	30

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness578.0ms (5.4%)

Memory

-27.5MiB live, 423.0MiB allocated

Rules

13 776×	`lower-fma.f64`
13 776×	`lower-fma.f32`
8 300×	`lower-fma.f64`
8 300×	`lower-fma.f32`
3 904×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	339
1	220	338
2	490	332
3	1295	332
4	2170	332
5	3645	332
6	4343	332
7	5854	332
8	7984	332
0	8018	310
0	63	646
1	160	616
2	437	616
3	1402	616
4	3697	616
5	6416	616
0	8104	578
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

Compiler

Compiled 74 to 35 computations (52.7% saved)

preprocess37.0ms (0.3%)

Memory: 15.2MiB live, 92.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 108 to 48 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	17	154
0	36	140
1	78	134
2	152	134
3	203	134
4	221	134
5	221	134
6	285	134
7	285	134
0	285	133

Iter	Nodes	Cost
0	19	148
0	39	131
1	91	131
2	155	131
3	199	130
4	221	128
5	290	128
6	290	128
0	290	125

Iter	Nodes	Cost
0	17	154
0	36	140
1	78	134
2	152	134
3	203	134
4	221	134
5	221	134
6	285	134
7	285	134
0	285	133

Iter	Nodes	Cost
0	19	148
0	39	131
1	91	131
2	155	131
3	199	130
4	221	128
5	290	128
6	290	128
0	290	125

analyze0.0ms (0%)

sample5.1s (47.7%)

preprocess109.0ms (1%)

explain219.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify47.0ms (0.4%)

localize80.0ms (0.7%)

series3.0ms (0%)

rewrite256.0ms (2.4%)

simplify334.0ms (3.1%)

eval68.0ms (0.6%)

prune61.0ms (0.6%)

simplify344.0ms (3.2%)

localize44.0ms (0.4%)

series10.0ms (0.1%)

rewrite482.0ms (4.5%)

simplify251.0ms (2.3%)

eval109.0ms (1%)

prune119.0ms (1.1%)

simplify16.0ms (0.1%)

localize220.0ms (2%)

series28.0ms (0.3%)

rewrite557.0ms (5.2%)

simplify238.0ms (2.2%)

eval130.0ms (1.2%)

prune111.0ms (1%)

simplify15.0ms (0.1%)

localize86.0ms (0.8%)

series18.0ms (0.2%)

rewrite493.0ms (4.6%)

simplify275.0ms (2.5%)

eval160.0ms (1.5%)

prune94.0ms (0.9%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness578.0ms (5.4%)

preprocess37.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	154
0	36	140
1	78	134
2	152	134
3	203	134
4	221	134
5	221	134
6	285	134
7	285	134
0	285	133

Iter	Nodes	Cost
0	19	148
0	39	131
1	91	131
2	155	131
3	199	130
4	221	128
5	290	128
6	290	128
0	290	125