Metrics for Hyperbolic tangent

analyze0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample4.8s (38.4%)

Memory

29.1MiB live, 5 373.5MiB allocated

Samples

1.7s	2 574×	2	valid
1.1s	4 730×	1	valid
752.0ms	7 631×	0	exit
371.0ms	431×	3	valid
38.0ms	521×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-exp: 2.1s (69.8% of total)

ival-div: 263.0ms (8.6% of total)

adjust: 211.0ms (6.9% of total)

ival-neg: 156.0ms (5.1% of total)

ival-sub: 146.0ms (4.8% of total)

ival-add: 134.0ms (4.4% of total)

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

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

Bogosity

preprocess98.0ms (0.8%)

Memory

-25.0MiB live, 95.3MiB 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)

explain322.0ms (2.6%)

Memory

20.3MiB live, 373.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
248	-	-	`(-.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	248	0
`/.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 -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

158.0ms	166×	2	valid
50.0ms	290×	1	valid
12.0ms	22×	3	valid
4.0ms	34×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-exp: 126.0ms (65.9% of total)

ival-add: 34.0ms (17.8% of total)

adjust: 13.0ms (6.8% of total)

ival-div: 8.0ms (4.2% of total)

ival-sub: 5.0ms (2.6% of total)

ival-neg: 4.0ms (2.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.5%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify49.0ms (0.4%)

Memory

-2.0MiB live, 50.0MiB 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)))

localize108.0ms (0.9%)

Memory

16.2MiB live, 129.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	97.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	accuracy	10.8%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

34.0ms	83×	2	valid
29.0ms	145×	1	valid
7.0ms	11×	3	valid
1.0ms	17×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-exp: 42.0ms (71.1% of total)

adjust: 5.0ms (8.5% of total)

ival-div: 4.0ms (6.8% of total)

ival-add: 3.0ms (5.1% of total)

ival-sub: 3.0ms (5.1% of total)

ival-neg: 2.0ms (3.4% of total)

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

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

series24.0ms (0.2%)

Memory

-33.0MiB live, 11.6MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	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 (neg x))

rewrite289.0ms (2.3%)

Memory

17.0MiB live, 443.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	13	11
1	55	11
2	424	11
3	7080	11
0	8062	11

Stop Event

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

Counts

4 → 499

Calls

Call 1

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

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

simplify373.0ms (3%)

Memory

-3.9MiB live, 547.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

eval73.0ms (0.6%)

Memory: -11.7MiB live, 157.0MiB allocated
Compiler: Compiled 13 594 to 1 346 computations (90.1% saved)

prune94.0ms (0.8%)

Memory

-17.9MiB live, 137.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

591 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
▶	97.1%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
▶	97.0%	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
▶	100.0%	(tanh.f64 x)

Compiler

Compiled 45 to 25 computations (44.4% saved)

simplify321.0ms (2.6%)

Memory

-3.2MiB live, 519.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
✓	cost-diff	(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	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
✓	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	120
0	36	120
1	100	120
2	268	117
3	489	117
4	828	117
5	1233	117
6	1680	117
7	2258	117
8	3416	117
9	6145	117
0	8276	114

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (0.9%)

Memory

18.4MiB live, 93.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))
✓	accuracy	99.6%	(*.f64 x #s(literal -17/315 binary64))
✓	accuracy	99.5%	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
✓	accuracy	99.7%	(.f64 #s(literal -1/3 binary64) (.f64 x x))
✓	accuracy	100.0%	(tanh.f64 x)

Samples

85.0ms

256×

valid

Compiler

Compiled 136 to 25 computations (81.6% saved)

Precisions

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

ival-mult: 17.0ms (46.2% of total)

const: 11.0ms (29.9% of total)

ival-add: 6.0ms (16.3% of total)

ival-tanh: 2.0ms (5.4% of total)

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

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

series16.0ms (0.1%)

Memory

-19.7MiB live, 20.8MiB 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 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)>
#<alt (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))>
#<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 (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))>
#<alt (*.f64 x #s(literal -17/315 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))>

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

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* x (+ (* x (* x (+ (* x (* x -17/315)) 2/15))) -1/3))
2.0ms	x	@	-inf	(tanh x)
1.0ms	x	@	-inf	(+ (* x (* x (+ (* x (* x -17/315)) 2/15))) -1/3)
1.0ms	x	@	inf	(tanh x)
1.0ms	x	@	inf	(+ (* x (* -1/3 (* x x))) x)

rewrite393.0ms (3.2%)

Memory

32.9MiB live, 665.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 818×	`lower-fma.f32`
8 806×	`lower-fma.f64`
5 308×	`lower-*.f32`
5 296×	`lower-*.f64`
4 134×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	104
0	36	104
1	171	101
2	1278	101
0	8555	98

Stop Event

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

Counts

13 → 434

Calls

Call 1

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

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

simplify402.0ms (3.2%)

Memory

-18.8MiB live, 698.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 134×	`lower-fma.f64`
17 134×	`lower-fma.f32`
4 004×	`lower-*.f64`
4 004×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1284
1	280	1248
2	817	1248
3	2707	1248
4	7597	1248
0	8105	1170

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

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

eval104.0ms (0.8%)

Memory: 18.3MiB live, 211.9MiB allocated
Compiler: Compiled 22 452 to 1 792 computations (92% saved)

prune73.0ms (0.6%)

Memory

-15.1MiB live, 142.2MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	631	9	640
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	633	11	644

Accuracy

100.0%

Counts

644 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
	97.3%	(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x x)
▶	97.0%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
	97.3%	(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x) (-.f64 (fma.f64 (.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)))) x)
▶	97.3%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))) x)
✓	97.1%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
▶	97.3%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
	97.0%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
	97.0%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
▶	5.0%	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 318 to 165 computations (48.1% saved)

simplify65.0ms (0.5%)

Memory

-2.0MiB live, 99.0MiB 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 (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
✓	cost-diff	0	(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) 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	(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
✓	cost-diff	128	(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))

Rules

1 200×	`lower-fma.f32`
1 188×	`lower-fma.f64`
1 106×	`lower-*.f32`
1 090×	`lower-*.f64`
636×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	197
0	49	178
1	111	174
2	264	168
3	617	168
4	1183	168
5	1263	168
6	1286	168
7	1300	168
8	1300	168
9	1300	168
10	1300	168
11	1339	168
12	1339	168
0	1339	162

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize130.0ms (1%)

Memory

-11.0MiB live, 185.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 4/225 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 2/15 binary64))
✓	accuracy	99.4%	(.f64 x (+.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))

Samples

81.0ms

256×

valid

Compiler

Compiled 212 to 33 computations (84.4% saved)

Precisions

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

const: 30.0ms (46.9% of total)

ival-mult: 23.0ms (35.9% of total)

ival-add: 9.0ms (14.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (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 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -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 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 (* -1/9 (pow x 3))>
#<alt (* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))>
#<alt (* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))>
#<alt (* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))>
#<alt (* 4/225 (pow x 7))>
#<alt (* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 4/225 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))>
#<alt (* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))>
#<alt (* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))>
#<alt (* 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 (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt (* 4/225 (pow x 2))>
#<alt 3>
#<alt (+ 3 (* -6/5 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))>
#<alt (/ 15/2 (pow x 2))>
#<alt (/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 15/2 (pow x 2))>
#<alt (/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))>

Calls

48 calls:

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

rewrite466.0ms (3.8%)

Memory

22.6MiB live, 649.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 568×	`lower-fma.f32`
10 556×	`lower-fma.f64`
4 950×	`lower-*.f32`
4 934×	`lower-*.f64`
3 052×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	143
0	49	116
1	216	113
2	1387	113
0	8349	109

Stop Event

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

Counts

16 → 936

Calls

Call 1

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

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

simplify357.0ms (2.9%)

Memory

-33.4MiB live, 371.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 166×	`lower-fma.f64`
7 166×	`lower-fma.f32`
3 100×	`lower-*.f64`
3 100×	`lower-*.f32`
1 650×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1402
1	247	1366
2	662	1366
3	2005	1366
4	5008	1366
0	8225	1297

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 188

Calls

Call 1

Inputs
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(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 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -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)))))
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))))))
(* -1/9 (pow x 3))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(* 4/225 (pow x 7))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(* 4/225 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(* 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)
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
(* 4/225 (pow x 2))
3
(+ 3 (* -6/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))
(/ 15/2 (pow x 2))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/ 15/2 (pow x 2))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))

Outputs
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 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 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(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 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal -1/3 binary64))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 2/15 binary64)))
(* -1/9 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/9 binary64))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))
(* (pow x 3) (- (* 4/225 (pow x 4)) 1/9))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4/225 binary64) #s(literal -1/9 binary64)))
(* 4/225 (pow x 7))
(*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 4/225 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 4/225 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 7) (- 4/225 (* 1/9 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 4/225 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 4/225 (pow x 7))
(*.f64 #s(literal 4/225 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 4/225 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 4/225 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* (pow x 7) (- (* 1/9 (/ 1 (pow x 4))) 4/225)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 4/225 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 (pow x 2))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 2/15 x)
(*.f64 #s(literal 2/15 binary64) x)
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
(* 4/225 (pow x 2))
(.f64 x (.f64 x #s(literal 4/225 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -6/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -6/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 12/25 (pow x 2)) 6/5)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 12/25 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 12/25 (* -24/125 (pow x 2)))) 6/5)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -24/125 binary64) #s(literal 12/25 binary64)) #s(literal -6/5 binary64)) #s(literal 3 binary64))
(/ 15/2 (pow x 2))
(/.f64 #s(literal 15/2 binary64) (*.f64 x x))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1875/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 75/4 binary64) (.f64 x x)) #s(literal -15/2 binary64)))) (*.f64 x x))
(/ 15/2 (pow x 2))
(/.f64 #s(literal 15/2 binary64) (*.f64 x x))
(/ (- 15/2 (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (* 75/4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal -75/4 binary64) (.f64 x x))) (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 15/2 (/ 375/8 (pow x 4))) (+ (* 75/4 (/ 1 (pow x 2))) (* 1875/16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 375/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1875/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 75/4 binary64) (.f64 x x)) #s(literal -15/2 binary64)))) (*.f64 x x))

eval315.0ms (2.5%)

Memory: 52.5MiB live, 351.9MiB allocated
Compiler: Compiled 44 989 to 1 888 computations (95.8% saved)

prune178.0ms (1.4%)

Memory

3.0MiB live, 240.1MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 307	3	1 310
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	1 309	12	1 321

Accuracy

100.0%

Counts

1 321 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
	97.3%	(fma.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x x)
✓	97.0%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
✓	97.3%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))) x)
✓	97.1%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
✓	97.3%	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
▶	97.0%	(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
▶	97.0%	(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
▶	5.0%	(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) x) x)
▶	5.0%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
✓	5.0%	(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 208 to 119 computations (42.8% saved)

simplify39.0ms (0.3%)

Memory

-4.8MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

348×	`lower-*.f32`
330×	`lower-*.f64`
212×	`associate-r`
182×	`associate-l`
152×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	128
0	36	113
1	70	112
2	131	111
3	237	109
4	343	109
5	373	109
6	376	109
0	376	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize158.0ms (1.3%)

Memory

-18.8MiB live, 121.2MiB allocated

Localize:

Found 17 expressions of interest:

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

Samples

130.0ms

256×

valid

Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions

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

ival-mult: 44.0ms (69.8% of total)

const: 11.0ms (17.4% of total)

ival-add: 5.0ms (7.9% of total)

ival-div: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.3%)

Memory

-27.2MiB live, 9.4MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (* x (* x x)) -1/9)
0.0ms	x	@	inf	(+ (* (* x x) (* x (* (* x x) 2/15))) x)
0.0ms	x	@	inf	(* (* x (* x x)) -1/9)
0.0ms	x	@	-inf	(* (* x (* x x)) -1/9)
0.0ms	x	@	0	(* x -1/3)

rewrite759.0ms (6.1%)

Memory

1.8MiB live, 685.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 164×	`lower-fma.f32`
13 156×	`lower-fma.f64`
7 032×	`lower-*.f32`
7 014×	`lower-*.f64`
2 972×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	36	78
1	125	78
2	784	75
0	8312	72

Stop Event

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

Counts

13 → 352

Calls

Call 1

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

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

simplify352.0ms (2.8%)

Memory

6.3MiB live, 358.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 476×	`lower-fma.f64`
8 476×	`lower-fma.f32`
2 936×	`lower-*.f64`
2 936×	`lower-*.f32`
1 720×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	946
1	262	922
2	684	904
3	2169	892
4	5674	892
0	8269	856

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

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

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

eval138.0ms (1.1%)

Memory: 18.7MiB live, 139.9MiB allocated
Compiler: Compiled 17 067 to 1 068 computations (93.7% saved)

prune125.0ms (1%)

Memory

10.5MiB live, 123.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	618	5	623
Fresh	1	0	1
Picked	5	0	5
Done	3	3	6
Total	627	8	635

Accuracy

100.0%

Counts

635 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(fma.f64 (/.f64 (.f64 #s(literal -1/9 binary64) x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) x)
	97.5%	(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (.f64 x (*.f64 x x)) x)
	19.1%	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
✓	97.0%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64) x)
✓	97.3%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #s(literal -1/3 binary64))) x)
	4.2%	(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
	16.5%	(*.f64 x #s(literal 1/6 binary64))
✓	100.0%	(tanh.f64 x)

Compiler

Compiled 362 to 133 computations (63.3% saved)

regimes40.0ms (0.3%)

Memory

-18.8MiB live, 25.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) x) 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 x)) #s(literal -1/3 binary64) x)
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #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 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (.f64 #s(literal -1/9 binary64) x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x) (-.f64 (fma.f64 (.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)))) x)
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

34.0ms	x
5.0ms	(/.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)

regimes11.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) x) 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 x)) #s(literal -1/3 binary64) x)
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #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 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
(fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 (.f64 #s(literal -1/9 binary64) x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (*.f64 x x) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) x) (-.f64 (fma.f64 (.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)))) x)

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

regimes97.0ms (0.8%)

Memory

-18.3MiB live, 20.6MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) x) 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 x)) #s(literal -1/3 binary64) x)
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x #s(literal 2/15 binary64)) x #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 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 15/2 binary64) (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)

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

Calls

2 calls:

91.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	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)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1/6 binary64))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(.f64 (.f64 (*.f64 x #s(literal -1/3 binary64)) x) 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 x)) #s(literal -1/3 binary64) x)
(fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 25/12 binary64) x))
(fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) #s(literal 2/15 binary64))) x)

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

Calls

2 calls:

3.0ms	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
97.0%	1	`x`
97.0%	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)

regimes4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -7.4b remaining (-13.8%)

Threshold costs -7.4b (-13.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 1/6 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
16.5%	1	`x`
16.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 16 to 8 computations (50% saved)

simplify95.0ms (0.8%)

Memory

-30.8MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	24	41

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (10.3%)

Memory

9.9MiB live, 809.3MiB allocated

Rules

13 776×	`lower-fma.f64`
13 776×	`lower-fma.f32`
13 164×	`lower-fma.f32`
13 156×	`lower-fma.f64`
8 818×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1402
1	247	1366
2	662	1366
3	2005	1366
4	5008	1366
0	8225	1297
0	77	339
1	220	338
2	490	332
3	1295	332
4	2170	332
5	3645	332
6	4343	332
7	5854	332
8	7984	332
0	8018	310
0	105	946
1	262	922
2	684	904
3	2169	892
4	5674	892
0	8269	856
0	20	94
0	36	78
1	125	78
2	784	75
0	8312	72
0	7	24
0	13	11
1	55	11
2	424	11
3	7080	11
0	8062	11
0	17	104
0	36	104
1	171	101
2	1278	101
0	8555	98

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

Compiler

Compiled 153 to 83 computations (45.8% saved)

preprocess136.0ms (1.1%)

Memory: 20.6MiB live, 101.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 124 to 60 computations (51.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	128
0	36	113
1	70	112
2	131	111
3	237	109
4	343	109
5	373	109
6	376	109
0	376	106

Iter	Nodes	Cost
0	20	128
0	36	113
1	70	112
2	131	111
3	237	109
4	343	109
5	373	109
6	376	109
0	376	106

analyze0.0ms (0%)

sample4.8s (38.4%)

preprocess98.0ms (0.8%)

explain322.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify49.0ms (0.4%)

localize108.0ms (0.9%)

series24.0ms (0.2%)

rewrite289.0ms (2.3%)

simplify373.0ms (3%)

eval73.0ms (0.6%)

prune94.0ms (0.8%)

simplify321.0ms (2.6%)

localize110.0ms (0.9%)

series16.0ms (0.1%)

rewrite393.0ms (3.2%)

simplify402.0ms (3.2%)

eval104.0ms (0.8%)

prune73.0ms (0.6%)

simplify65.0ms (0.5%)

localize130.0ms (1%)

series8.0ms (0.1%)

rewrite466.0ms (3.8%)

simplify357.0ms (2.9%)

eval315.0ms (2.5%)

prune178.0ms (1.4%)

simplify39.0ms (0.3%)

localize158.0ms (1.3%)

series34.0ms (0.3%)

rewrite759.0ms (6.1%)

simplify352.0ms (2.8%)

eval138.0ms (1.1%)

prune125.0ms (1%)

regimes40.0ms (0.3%)

regimes11.0ms (0.1%)

regimes97.0ms (0.8%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

simplify95.0ms (0.8%)

soundness1.3s (10.3%)

preprocess136.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	128
0	36	113
1	70	112
2	131	111
3	237	109
4	343	109
5	373	109
6	376	109
0	376	106