Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.8s (46.4%)

Memory

53.8MiB live, 5 216.5MiB allocated

Samples

1.5s	2 516×	2	valid
1.2s	4 769×	1	valid
646.0ms	7 606×	0	exit
255.0ms	407×	3	valid
147.0ms	564×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-exp: 1.9s (65.4% of total)

ival-div: 281.0ms (9.9% of total)

adjust: 249.0ms (8.8% of total)

ival-sub: 176.0ms (6.2% of total)

ival-add: 140.0ms (4.9% of total)

ival-neg: 115.0ms (4.1% of total)

ival-true: 13.0ms (0.5% of total)

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

Bogosity

preprocess102.0ms (1%)

Memory

-20.5MiB live, 140.3MiB 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)

explain224.0ms (2.2%)

Memory

1.1MiB live, 476.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
247	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
6	-	-	`(/.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	1
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	6	0
↳	`(exp.f64 x)`	overflow	6
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	6
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	6
↳	`(exp.f64 x)`	overflow	6

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms	162×	2	valid
62.0ms	304×	1	valid
11.0ms	18×	3	valid
2.0ms	28×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-exp: 87.0ms (70.1% of total)

adjust: 13.0ms (10.5% of total)

ival-div: 9.0ms (7.2% of total)

ival-sub: 6.0ms (4.8% of total)

ival-add: 5.0ms (4% of total)

ival-neg: 4.0ms (3.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify50.0ms (0.5%)

Memory

12.0MiB live, 87.9MiB 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)))

localize88.0ms (0.9%)

Memory

6.6MiB live, 206.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	accuracy	97.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	10.3%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

39.0ms	81×	2	valid
26.0ms	152×	1	valid
6.0ms	9×	3	valid
1.0ms	14×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-exp: 44.0ms (72.6% of total)

adjust: 6.0ms (9.9% of total)

ival-div: 4.0ms (6.6% of total)

ival-sub: 3.0ms (5% of total)

ival-add: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

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

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

series3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

5 → 60

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))>
#<alt (+.f64 (exp.f64 x) (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))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>

Calls

15 calls:

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

rewrite281.0ms (2.7%)

Memory

-6.0MiB live, 560.1MiB 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	30
0	13	15
1	55	15
2	424	15
3	7080	15
0	8062	15

Stop Event

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

Counts

5 → 644

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

simplify315.0ms (3.1%)

Memory

-16.5MiB live, 425.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 890×	`lower-fma.f64`
12 890×	`lower-fma.f32`
4 156×	`lower-*.f64`
4 156×	`lower-*.f32`
2 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))

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

eval89.0ms (0.9%)

Memory: 5.0MiB live, 197.0MiB allocated
Compiler: Compiled 17 810 to 1 744 computations (90.2% saved)

prune76.0ms (0.7%)

Memory

21.9MiB live, 143.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	743	4	747
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	744	4	748

Accuracy

100.0%

Counts

748 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
▶	97.3%	(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	96.8%	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
▶	100.0%	(tanh.f64 x)

Compiler

Compiled 45 to 26 computations (42.2% saved)

simplify300.0ms (2.9%)

Memory

-26.4MiB live, 330.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

11 378×	`lower-fma.f32`
11 366×	`lower-fma.f64`
3 626×	`lower-*.f32`
3 614×	`lower-*.f64`
1 706×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	112
0	36	104
1	90	103
2	192	103
3	371	103
4	732	103
5	1150	103
6	1593	103
7	2171	103
8	3309	103
9	6021	103
0	8151	102

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

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

localize75.0ms (0.7%)

Memory

15.9MiB live, 93.6MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

48.0ms

256×

valid

Compiler

Compiled 114 to 25 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 17.0ms (47% of total)

const: 9.0ms (24.9% of total)

ival-add: 6.0ms (16.6% of total)

ival-tanh: 4.0ms (11% of total)

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

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

series13.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

13 → 156

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 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))>
#<alt (*.f64 x #s(literal 2/15 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (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)) (.f64 x (.f64 x x)) x)>
#<alt (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))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))>
#<alt (*.f64 x #s(literal -17/315 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>
#<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 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (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 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* 2/15 x)>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt 2/15>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>
#<alt (* -17/315 x)>

Calls

39 calls:

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

rewrite346.0ms (3.4%)

Memory

-12.8MiB live, 468.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 944×	`lower-fma.f32`
6 932×	`lower-fma.f64`
5 080×	`lower-*.f32`
5 068×	`lower-*.f64`
3 988×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
0	36	85
1	159	84
2	1119	84
0	8225	83

Stop Event

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

Counts

13 → 369

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 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal 2/15 binary64))
(.f64 x (.f64 x x))
(fma.f64 (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)) (.f64 x (.f64 x x)) 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))
(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
(*.f64 x #s(literal -17/315 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 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (fma.f64 x #s(literal -2 binary64) (.f64 x #s(literal -2 binary64)))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (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 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (fma.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))) (+.f64 (/.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))))) (.f64 (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(tanh.f64 x)
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
(+.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/3 binary64))) x)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) (neg.f64 x)))))
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64))))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64))) (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))) (.f64 (/.f64 #s(literal 4/225 binary64) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64))) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) (/.f64 #s(literal 4/225 binary64) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64)) (.f64 (*.f64 x x) #s(literal 34/4725 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -4913/31255875 binary64)) #s(literal 8/3375 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64)) #s(literal 4/225 binary64)) (.f64 (*.f64 x x) #s(literal 34/4725 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64)) #s(literal -4/225 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal -2/15 binary64)))))
(.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 289/99225 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(*.f64 x #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) x)

simplify309.0ms (3%)

Memory

8.6MiB live, 356.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 044×	`lower-fma.f64`
8 044×	`lower-fma.f32`
3 434×	`lower-*.f64`
3 434×	`lower-*.f32`
1 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1120
1	246	1084
2	694	1084
3	2252	1084
4	6307	1084
0	8316	1020

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

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

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

eval123.0ms (1.2%)

Memory: 7.6MiB live, 160.6MiB allocated
Compiler: Compiled 19 539 to 1 431 computations (92.7% saved)

prune82.0ms (0.8%)

Memory

-36.8MiB live, 118.4MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	569	8	577
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	571	10	581

Accuracy

100.0%

Counts

581 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
▶	97.3%	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
	96.8%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
	96.5%	(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
▶	96.8%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
	96.8%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
▶	97.3%	(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
▶	96.8%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
▶	4.9%	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 194 to 109 computations (43.8% saved)

simplify16.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

316×	`lower-fma.f32`
306×	`lower-fma.f64`
232×	`lower-*.f32`
212×	`lower-*.f64`
124×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	139
0	40	130
1	82	128
2	124	128
3	203	128
4	231	128
5	298	128
6	298	128
0	298	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (0.8%)

Memory

-26.7MiB live, 167.5MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

55.0ms

256×

valid

Compiler

Compiled 141 to 26 computations (81.6% saved)

Precisions

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

ival-mult: 23.0ms (55.4% of total)

ival-add: 11.0ms (26.5% of total)

const: 6.0ms (14.5% of total)

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

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

series5.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) 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 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)>
#<alt (.f64 x (.f64 x #s(literal -1/3 binary64)))>
#<alt (*.f64 x #s(literal -1/3 binary64))>
#<alt (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)>
#<alt (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64))))>
#<alt (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)>
#<alt (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))>
#<alt (*.f64 x #s(literal 2/15 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) (- (* 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 (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 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 (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt 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>
#<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 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
0.0ms	x	@	-inf	(* -1/3 (* x (* x x)))
0.0ms	x	@	inf	(* -1/3 (* x (* x x)))
0.0ms	x	@	0	(* x -1/3)
0.0ms	x	@	inf	(* x (* x (+ (* x (* x 2/15)) -1/3)))
0.0ms	x	@	-inf	(* x -1/3)

rewrite561.0ms (5.5%)

Memory

33.9MiB live, 811.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 964×	`lower-fma.f32`
9 954×	`lower-fma.f64`
5 392×	`lower-*.f32`
5 372×	`lower-*.f64`
2 518×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	40	107
1	157	105
2	648	105
3	6563	105
0	8163	101

Stop Event

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

Counts

16 → 896

Calls

Call 1

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

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

simplify229.0ms (2.2%)

Memory

-10.6MiB live, 441.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 672×	`lower-fma.f64`
6 672×	`lower-fma.f32`
2 852×	`lower-*.f64`
2 852×	`lower-*.f32`
1 140×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	1258
1	129	1210
2	355	1210
3	1166	1210
4	3264	1210
5	5162	1210
6	7333	1210
0	8040	1137

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 188

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

eval198.0ms (1.9%)

Memory: 6.6MiB live, 351.6MiB allocated
Compiler: Compiled 37 192 to 1 743 computations (95.3% saved)

prune145.0ms (1.4%)

Memory

9.9MiB live, 256.6MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 150	9	1 159
Fresh	0	3	3
Picked	0	5	5
Done	0	2	2
Total	1 150	19	1 169

Accuracy

100.0%

Counts

1 169 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
	97.3%	(fma.f64 (/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 x (.f64 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))) x x)
✓	97.3%	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (*.f64 x x)) x x)
	96.5%	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) x x)
	96.8%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
▶	96.5%	(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
✓	96.8%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
▶	96.8%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
	97.3%	(fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) x (.f64 x #s(literal -1/3 binary64)))) x)
▶	97.3%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal -1/3 binary64)))) x)
	97.3%	(fma.f64 x (.f64 x (/.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))) (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)
✓	97.3%	(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
	97.3%	(/.f64 (.f64 (fma.f64 x (.f64 (.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)))) #s(literal -1 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
✓	96.8%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/3 binary64)))) x)
▶	97.3%	(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
	4.9%	(.f64 (.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
▶	4.9%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
✓	4.9%	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 485 to 256 computations (47.2% saved)

simplify16.0ms (0.2%)

Memory

-17.1MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

316×	`lower-fma.f32`
304×	`lower-fma.f64`
232×	`lower-*.f32`
216×	`lower-*.f64`
118×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	150
0	36	139
1	81	137
2	157	134
3	190	132
4	267	132
5	267	132
0	267	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (0.8%)

Memory

12.0MiB live, 167.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x #s(literal 2/15 binary64)) (*.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal -1/3 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 x #s(literal 2/15 binary64))) (.f64 x (.f64 x x)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 2/15 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
✓	accuracy	99.4%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	99.9%	(*.f64 x #s(literal 2/15 binary64))

Samples

48.0ms

256×

valid

Compiler

Compiled 152 to 24 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 18.0ms (57.3% of total)

const: 7.0ms (22.3% of total)

ival-add: 6.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

14 → 168

Calls

Call 1

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

Calls

42 calls:

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

rewrite374.0ms (3.6%)

Memory

-23.7MiB live, 625.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 374×	`lower-fma.f32`
8 362×	`lower-fma.f64`
5 494×	`lower-*.f32`
5 478×	`lower-*.f64`
3 998×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	36	102
1	151	100
2	1144	97
0	8188	93

Stop Event

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

Counts

14 → 499

Calls

Call 1

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

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

simplify250.0ms (2.4%)

Memory

26.4MiB live, 296.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 942×	`lower-fma.f64`
6 942×	`lower-fma.f32`
2 966×	`lower-*.f64`
2 966×	`lower-*.f32`
1 134×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1128
1	146	1098
2	394	1080
3	1236	1048
4	3339	1048
5	5448	1048
0	8121	970

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

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

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

eval106.0ms (1%)

Memory: -35.5MiB live, 209.6MiB allocated
Compiler: Compiled 25 231 to 1 509 computations (94% saved)

prune59.0ms (0.6%)

Memory

30.2MiB live, 149.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	794	1	795
Fresh	7	0	7
Picked	4	1	5
Done	4	3	7
Total	809	5	814

Accuracy

100.0%

Counts

814 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.2%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
✓	96.8%	(fma.f64 (.f64 x (.f64 x #s(literal -1/3 binary64))) x x)
✓	97.3%	(.f64 (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
	96.6%	(*.f64 #s(literal 1 binary64) x)
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 349 to 115 computations (67% saved)

regimes13.0ms (0.1%)

Memory

-8.1MiB live, 31.4MiB allocated

Counts

23 → 1

Calls

Call 1

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

6.0ms	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)

regimes13.0ms (0.1%)

Memory

-4.8MiB live, 32.8MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.8%	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)

regimes5.0ms (0%)

Memory

-29.2MiB live, 9.1MiB allocated

Accuracy

Total -58.7b remaining (-2714.6%)

Threshold costs -58.7b (-2714.6%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	x

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

simplify6.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`*-lft-identity_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	20	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness804.0ms (7.8%)

Memory

-13.0MiB live, 628.6MiB allocated

Rules

12 890×	`lower-fma.f64`
12 890×	`lower-fma.f32`
9 964×	`lower-fma.f32`
9 954×	`lower-fma.f64`
8 044×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	425
1	259	424
2	604	414
3	1659	414
4	2630	414
5	4160	414
6	4872	414
7	6500	414
0	8123	386
0	57	1128
1	146	1098
2	394	1080
3	1236	1048
4	3339	1048
5	5448	1048
0	8121	970
0	94	1120
1	246	1084
2	694	1084
3	2252	1084
4	6307	1084
0	8316	1020
0	7	30
0	13	15
1	55	15
2	424	15
3	7080	15
0	8062	15
0	19	116
0	40	107
1	157	105
2	648	105
3	6563	105
0	8163	101

Stop Event

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

Compiler

Compiled 49 to 28 computations (42.9% saved)

preprocess58.0ms (0.6%)

Memory: 22.3MiB live, 141.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 102 to 54 computations (47.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	139
0	40	130
1	82	128
2	124	128
3	203	128
4	231	128
5	298	128
6	298	128
0	298	124

Iter	Nodes	Cost
0	19	139
0	40	130
1	82	128
2	124	128
3	203	128
4	231	128
5	298	128
6	298	128
0	298	124

analyze0.0ms (0%)

sample4.8s (46.4%)

preprocess102.0ms (1%)

explain224.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify50.0ms (0.5%)

localize88.0ms (0.9%)

series3.0ms (0%)

rewrite281.0ms (2.7%)

simplify315.0ms (3.1%)

eval89.0ms (0.9%)

prune76.0ms (0.7%)

simplify300.0ms (2.9%)

localize75.0ms (0.7%)

series13.0ms (0.1%)

rewrite346.0ms (3.4%)

simplify309.0ms (3%)

eval123.0ms (1.2%)

prune82.0ms (0.8%)

simplify16.0ms (0.2%)

localize87.0ms (0.8%)

series5.0ms (0%)

rewrite561.0ms (5.5%)

simplify229.0ms (2.2%)

eval198.0ms (1.9%)

prune145.0ms (1.4%)

simplify16.0ms (0.2%)

localize85.0ms (0.8%)

series6.0ms (0.1%)

rewrite374.0ms (3.6%)

simplify250.0ms (2.4%)

eval106.0ms (1%)

prune59.0ms (0.6%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

simplify6.0ms (0.1%)

soundness804.0ms (7.8%)

preprocess58.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	139
0	40	130
1	82	128
2	124	128
3	203	128
4	231	128
5	298	128
6	298	128
0	298	124