Metrics for tanhf (example 3.4)

analyze129.0ms (1.6%)

Memory

2.8MiB live, 155.2MiB 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
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.8s (22.2%)

Memory

39.5MiB live, 1 671.8MiB allocated

Samples

656.0ms	2 192×	2	valid
447.0ms	4 296×	0	valid
223.0ms	575×	3	valid
131.0ms	1 190×	1	valid
3.0ms	3×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 730.0ms (60.4% of total)

ival-sin: 173.0ms (14.3% of total)

ival-div: 103.0ms (8.5% of total)

adjust: 102.0ms (8.4% of total)

ival-sub: 86.0ms (7.1% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess53.0ms (0.6%)

Memory

-27.4MiB live, 71.1MiB allocated

Algorithm

1×	egg-herbie

Rules

204×	`lower-fma.f64`
204×	`lower-fma.f32`
140×	`lower-*.f64`
140×	`lower-*.f32`
98×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))

Symmetry

(negabs x)

explain193.0ms (2.3%)

Memory

12.7MiB live, 170.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
71	3	(2.2738597854422367e+283)	1	(3.33352820250198e+224)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
70	0	-	6	(3.5414061089712737e-161)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	73	4
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`	u/n	64	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	64

Confusion

	Predicted +	Predicted -
+	135	1
-	2	118

Precision

0.9854014598540146

Recall

0.9926470588235294

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	1	0
-	2	3	115

Precision?

0.9645390070921985

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	146×	2	valid
36.0ms	254×	0	valid
11.0ms	34×	3	valid
8.0ms	78×	1	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-cos: 47.0ms (59% of total)

ival-sin: 14.0ms (17.6% of total)

adjust: 7.0ms (8.8% of total)

ival-div: 6.0ms (7.5% of total)

ival-sub: 5.0ms (6.3% of total)

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

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

exact: 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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify25.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	cost-diff	6848	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Rules

204×	`lower-fma.f64`
204×	`lower-fma.f32`
140×	`lower-*.f64`
140×	`lower-*.f32`
82×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)

localize88.0ms (1.1%)

Memory

-21.8MiB live, 52.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	76.9%	(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓	accuracy	75.4%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Samples

35.0ms	39×	1	valid
23.0ms	73×	2	valid
15.0ms	127×	0	valid
5.0ms	17×	3	valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 24.0ms (61.7% of total)

ival-sin: 6.0ms (15.4% of total)

adjust: 3.0ms (7.7% of total)

ival-div: 3.0ms (7.7% of total)

ival-sub: 3.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (sin.f64 x)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	-inf	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	0	(/ (- 1 (cos x)) (sin x))
0.0ms	x	@	0	(cos x)
0.0ms	x	@	0	(sin x)

rewrite296.0ms (3.6%)

Memory

33.8MiB live, 386.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 606×	`lower-*.f64`
4 606×	`lower-*.f32`
3 722×	`lower-/.f32`
3 720×	`lower-/.f64`
2 028×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	12
1	39	12
2	245	12
3	2355	11
0	8885	11

Stop Event

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

Counts

4 → 615

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(sin.f64 x)

Outputs
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (cos.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (sin.f64 x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))

simplify471.0ms (5.7%)

Memory

-6.6MiB live, 677.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 148×	`lower-fma.f64`
19 148×	`lower-fma.f32`
3 796×	`lower-*.f64`
3 796×	`lower-*.f32`
3 232×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	286
1	224	286
2	555	280
3	1656	280
4	3000	280
5	4243	280
6	4592	280
7	5323	280
8	6815	280
0	8390	256

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval106.0ms (1.3%)

Memory: -5.8MiB live, 148.6MiB allocated
Compiler: Compiled 14 403 to 1 633 computations (88.7% saved)

prune75.0ms (0.9%)

Memory

3.1MiB live, 162.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	658	4	662
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	658	5	663

Accuracy

100.0%

Counts

663 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
▶	51.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
▶	52.2%	(*.f64 #s(literal 1/2 binary64) x)
▶	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6464	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Rules

38×	`lower-*.f32`
30×	`lower-*.f64`
24×	`lower-fma.f32`
22×	`lower-fma.f64`
10×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
0	20	37
1	33	37
2	40	37
3	44	37
0	44	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal -1/2 binary64)

Outputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)

localize46.0ms (0.6%)

Memory

-15.6MiB live, 61.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 43 to 15 computations (65.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (31.7% of total)

ival-tan: 5.0ms (22.7% of total)

ival-pow: 5.0ms (22.7% of total)

const: 3.0ms (13.6% of total)

ival-add: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))>
#<alt (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x 1/2)
0.0ms	x	@	inf	(tan (* x 1/2))
0.0ms	x	@	-inf	(tan (* x 1/2))
0.0ms	x	@	inf	(+ (* x (* x 1/24)) 1/2)
0.0ms	x	@	-inf	(* x 1/2)

rewrite372.0ms (4.5%)

Memory

-14.1MiB live, 404.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 312×	`lower-fma.f32`
7 310×	`lower-fma.f64`
5 270×	`lower-/.f64`
5 270×	`lower-/.f32`
4 738×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	20	28
1	58	28
2	241	28
3	1712	28
0	8298	28

Stop Event

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

Counts

7 → 386

Calls

Call 1

Inputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64) #s(literal 1/16 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64) #s(literal 1/16 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))) (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 x (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 x #s(literal 1/24 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/24 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (/.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x (.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))
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(.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) #s(literal -1/64 binary64)))) (/.f64 x (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/2304 binary64) #s(literal 1/16 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/16 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1/2641807540224 binary64) #s(literal 1/512 binary64)))) (/.f64 x (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/110592 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/191102976 binary64)) #s(literal -1/64 binary64)))) (/.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))))
#s(literal 1 binary64)

simplify321.0ms (3.9%)

Memory

-9.9MiB live, 341.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 568×	`lower-*.f64`
5 568×	`lower-*.f32`
4 508×	`lower-fma.f64`
4 508×	`lower-fma.f32`
2 702×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	396
1	105	396
2	265	396
3	616	396
4	1175	396
5	2732	396
6	3472	396
7	4051	396
8	4395	396
9	4847	396
10	5415	396
11	6115	396
12	6437	396
13	6637	396
14	6765	396
15	6899	396
16	7038	396
17	7963	396
0	8035	372

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))

eval78.0ms (0.9%)

Memory: 5.5MiB live, 78.9MiB allocated
Compiler: Compiled 17 716 to 1 294 computations (92.7% saved)

prune66.0ms (0.8%)

Memory

-5.8MiB live, 88.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	456	2	458
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	457	6	463

Accuracy

100.0%

Counts

463 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
▶	51.3%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	51.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	52.2%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
▶	7.9%	#s(literal 1 binary64)

Compiler

Compiled 67 to 41 computations (38.8% saved)

simplify243.0ms (3%)

Memory

25.5MiB live, 373.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))

Rules

7 726×	`lower-fma.f32`
7 718×	`lower-fma.f64`
5 058×	`lower-*.f32`
5 046×	`lower-*.f64`
2 900×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	165
0	37	162
1	85	150
2	225	140
3	820	140
4	2378	140
5	6011	140
0	8182	134

Stop Event

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

Calls

Call 1

Inputs
#s(literal 1 binary64)
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
x
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(*.f64 x x)
#s(literal 1/576 binary64)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
#s(literal 1 binary64)
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
x
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(*.f64 x x)
#s(literal 1/576 binary64)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))
(fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize75.0ms (0.9%)

Memory

5.4MiB live, 119.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	91.2%	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	accuracy	62.1%	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 182 to 26 computations (85.7% saved)

Precisions

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

ival-mult: 12.0ms (40.5% of total)

ival-div: 6.0ms (20.2% of total)

const: 6.0ms (20.2% of total)

ival-add: 4.0ms (13.5% of total)

exact: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

series6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))>
#<alt (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/576 binary64))>

Outputs
#<alt (* -1/144 (pow x 3))>
#<alt (* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* -1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* x (* (* x x) 1/576)) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
1.0ms	x	@	inf	(+ (* (/ (* x (* (* x x) 1/576)) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
1.0ms	x	@	0	(/ (* x (* (* x x) 1/576)) (+ (* (* x x) (* (* x x) 1/576)) -1/4))
1.0ms	x	@	0	(+ (* (/ (* x (* (* x x) 1/576)) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 1/4 (+ (* x (* x 1/24)) -1/2))))
0.0ms	x	@	-inf	(/ (* x (* (* x x) 1/576)) (+ (* (* x x) (* (* x x) 1/576)) -1/4))

rewrite440.0ms (5.4%)

Memory

-17.6MiB live, 693.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 804×	`lower-fma.f32`
10 796×	`lower-fma.f64`
4 260×	`lower-*.f32`
4 250×	`lower-*.f64`
4 082×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	67
0	34	66
1	139	55
2	1114	32
0	8797	31

Stop Event

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

Counts

4 → 585

Calls

Call 1

Inputs
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(/.f64 x (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x (*.f64 x #s(literal 1/576 binary64)))))
(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) x)
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 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 1/191102976 binary64)) #s(literal -1/64 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/2304 binary64)))))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) #s(literal -1/16 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 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 1/191102976 binary64)) #s(literal -1/64 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64)))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 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 1/191102976 binary64)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64)))))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) #s(literal -1/16 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)))))
(.f64 (/.f64 x (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 1/191102976 binary64)) #s(literal -1/64 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/2304 binary64)))))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) #s(literal -1/16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)))))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/64 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))))
(.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))))
(.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(.f64 (/.f64 (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 1/191102976 binary64)) #s(literal -1/64 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/331776 binary64))) #s(literal -1/16 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal 0 binary64))))
(pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (+.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)

simplify266.0ms (3.2%)

Memory

-4.6MiB live, 411.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 346×	`lower-fma.f64`
7 346×	`lower-fma.f32`
3 318×	`lower-*.f64`
3 318×	`lower-*.f32`
1 940×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	440
1	231	440
2	522	438
3	1165	438
4	2522	438
5	5112	438
0	8376	417

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -1/144 (pow x 3))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
-1/2
(- (* -1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))

Outputs
(* -1/144 (pow x 3))
(.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal -1/20736 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/144 binary64)))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2985984 binary64) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64)))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/429981696 binary64) #s(literal -1/2985984 binary64)) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (/.f64 #s(literal 20736 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 2985984 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (/.f64 #s(literal 20736 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (/.f64 #s(literal 20736 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 (+.f64 #s(literal 20736 binary64) (/.f64 #s(literal 2985984 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -144 binary64)) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* -1/24 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/288 binary64)) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/3456 binary64) #s(literal -1/288 binary64)) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 72 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 10368 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 72 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 10368 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 x x))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(* 1/576 (pow x 2))
(.f64 x (.f64 x #s(literal 1/576 binary64)))

eval106.0ms (1.3%)

Memory: 4.8MiB live, 118.2MiB allocated
Compiler: Compiled 38 401 to 2 096 computations (94.5% saved)

prune101.0ms (1.2%)

Memory

28.3MiB live, 142.9MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	648	3	651
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	649	8	657

Accuracy

100.0%

Counts

657 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
▶	1.2%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
▶	51.3%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
▶	51.8%	(.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	51.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
✓	52.2%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	7.9%	#s(literal 1 binary64)

Compiler

Compiled 130 to 75 computations (42.3% saved)

simplify349.0ms (4.2%)

Memory

-37.6MiB live, 366.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))
✓	cost-diff	320	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))

Rules

10 976×	`lower-fma.f32`
10 960×	`lower-fma.f64`
5 362×	`lower-*.f32`
5 338×	`lower-*.f64`
2 316×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	413
0	72	367
1	180	367
2	441	353
3	1713	351
4	5073	351
0	8021	337

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
x
(fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))
#s(literal -1/144 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
x
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
(fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
x
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(*.f64 x x)
#s(literal 1/576 binary64)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
#s(literal 6 binary64)

Outputs
(.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 x (fma.f64 x (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))
x
(fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(fma.f64 x (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal -1/144 binary64) (*.f64 x x)))
#s(literal -1/144 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(.f64 x (fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1/576 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))
x
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1/576 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64))))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/576 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(*.f64 x #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
(fma.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1/576 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -6 binary64) x))
x
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(fma.f64 x (/.f64 (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1/576 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/576 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/576 binary64))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(*.f64 x x)
#s(literal 1/576 binary64)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
#s(literal 6 binary64)

localize151.0ms (1.8%)

Memory

20.4MiB live, 249.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f64 #s(literal 6 binary64) (*.f64 x x))
✓	accuracy	91.2%	(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
✓	accuracy	74.1%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
✓	accuracy	62.1%	(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓	accuracy	91.2%	(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
✓	accuracy	62.1%	(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))

Samples

77.0ms

256×

valid

Compiler

Compiled 450 to 46 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 27.0ms (47% of total)

const: 11.0ms (19.2% of total)

ival-div: 8.0ms (13.9% of total)

ival-add: 8.0ms (13.9% of total)

ival-neg: 2.0ms (3.5% of total)

exact: 1.0ms (1.7% of total)

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

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

series8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))>
#<alt (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))>
#<alt (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))>
#<alt (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))>
#<alt (.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))>
#<alt (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))>
#<alt (/.f64 #s(literal 6 binary64) (*.f64 x x))>

Outputs
#<alt -1/2>
#<alt (- (* -1/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (pow x 3))>
#<alt (* -1/144 (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 (* -1/144 (pow x 3))>
#<alt (* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (* -1/144 (pow x 3))>
#<alt (* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))>
#<alt (* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)>
#<alt (/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))>
#<alt (/ -6 x)>
#<alt (/ (- (* -1/288 (pow x 6)) 6) x)>
#<alt (/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) x)>
#<alt (/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) x)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* 72 (/ 1 (pow x 4)))) (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (/ (- (* -1/288 (pow x 6)) 6) (pow x 2))>
#<alt (/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) (pow x 2))>
#<alt (/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ 6 (* x x))
0.0ms	x	@	0	(* x (+ (* (/ (* x (* (* x x) 1/576)) (+ (* (* x x) (* (* x x) 1/576)) -1/4)) (* x (+ (* x (* x 1/24)) 1/2))) (neg (/ 6 (* x x)))))
0.0ms	x	@	0	(* -1/144 (* x (* x x)))
0.0ms	x	@	inf	(* -1/144 (* x (* x x)))
0.0ms	x	@	-inf	(* -1/144 (* x (* x x)))

rewrite505.0ms (6.1%)

Memory

10.5MiB live, 599.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 864×	`lower-/.f32`
4 856×	`lower-/.f64`
4 660×	`lower-*.f32`
4 640×	`lower-*.f64`
3 760×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	175
0	63	149
1	268	141
2	1621	141
0	8538	133

Stop Event

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

Counts

11 → 735

Calls

Call 1

Inputs
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 #s(literal 6 binary64) (*.f64 x x))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64)) (.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(.f64 x (.f64 (*.f64 x x) #s(literal -1/144 binary64)))
(.f64 #s(literal -1/144 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/144 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/144 binary64))
(.f64 (.f64 x #s(literal -1/144 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal -1/144 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x #s(literal -1/144 binary64)) x) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (*.f64 x #s(literal 1/576 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))))
(.f64 (.f64 x x) (/.f64 (.f64 x #s(literal 1/576 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/576 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))))
(.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (/.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 (.f64 x x) (*.f64 x #s(literal 1/576 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/576 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) x)
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/191102976 binary64) #s(literal -1/64 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/331776 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/2304 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/331776 binary64) #s(literal -1/16 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal 1/4 binary64)))
(+.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(fma.f64 x (.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
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(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
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(fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/576 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
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(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)))
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(/.f64 #s(literal 6 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -6 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -6 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))))
(/.f64 (/.f64 #s(literal 6 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 6 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 6 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
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(.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x))

simplify431.0ms (5.2%)

Memory

2.1MiB live, 530.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 128×	`lower-fma.f64`
12 128×	`lower-fma.f32`
4 304×	`lower-*.f64`
4 304×	`lower-*.f32`
3 794×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	1212
1	444	1212
2	1213	1173
3	3377	1166
4	7734	1166
0	8376	1110

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
-1/2
(- (* -1/24 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (pow x 3))
(* -1/144 (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)
(* -1/144 (pow x 3))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(* -1/144 (pow x 3))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/ 1 x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
(/ -6 x)
(/ (- (* -1/288 (pow x 6)) 6) x)
(/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) x)
(/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) x)
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* 72 (/ 1 (pow x 4)))) (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
(/ -6 (pow x 2))
(/ (- (* -1/288 (pow x 6)) 6) (pow x 2))
(/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) (pow x 2))
(/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) (pow x 2))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -1/24 (pow x 2)) 1/2)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -1/288 (pow x 2)) 1/24)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/288 binary64)) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/3456 (pow x 2)) 1/288)) 1/24)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/3456 binary64)) #s(literal -1/288 binary64)) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 72 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 10368 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 72 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 864 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 10368 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/20736 binary64) #s(literal -1/144 binary64)))))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2985984 binary64) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64))))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/429981696 binary64) #s(literal -1/2985984 binary64)) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 20736 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 2985984 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 20736 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (/.f64 #s(literal 20736 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal -20736 binary64) (/.f64 #s(literal -2985984 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/288 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3456 binary64) #s(literal 1/288 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -864 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x)))) (.f64 x x))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -864 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (.f64 x x)))) (.f64 x x))
(* -1/144 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/144 binary64))))
(* (pow x 3) (- (* -1/20736 (pow x 4)) 1/144))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/20736 binary64) #s(literal -1/144 binary64)))))
(* (pow x 3) (- (* (pow x 4) (- (* -1/2985984 (pow x 4)) 1/20736)) 1/144))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/2985984 binary64) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64))))
(* (pow x 3) (- (* (pow x 4) (- (* (pow x 4) (- (* -1/429981696 (pow x 4)) 1/2985984)) 1/20736)) 1/144))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/429981696 binary64) #s(literal -1/2985984 binary64)) #s(literal -1/20736 binary64)) #s(literal -1/144 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (/ 20736 (pow x 8)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 20736 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) x)
(/ (+ 1 (+ (* 144 (/ 1 (pow x 4))) (+ (* 2985984 (/ 1 (pow x 12))) (/ 20736 (pow x 8))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 2985984 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 20736 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 144 (/ 1 (pow x 4)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -144 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 144 (* 20736 (/ 1 (pow x 4)))) (pow x 4))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (/.f64 #s(literal 20736 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 20736 (* 2985984 (/ 1 (pow x 4)))) (pow x 8))) (+ 1 (* 144 (/ 1 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 144 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal -20736 binary64) (/.f64 #s(literal -2985984 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) x)
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(/ (- (* -1/288 (pow x 6)) 6) x)
(/.f64 (fma.f64 #s(literal -1/288 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) x)
(/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) x)
(/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/3456 binary64)) #s(literal -1/288 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) x)
(/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/41472 binary64) #s(literal -1/3456 binary64)) #s(literal -1/288 binary64)) #s(literal -6 binary64)) x)
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(.f64 x (fma.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(.f64 x (fma.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 864 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (* 72 (/ 1 (pow x 4)))) (pow x 2))) 1/24)))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -72 binary64) (.f64 x (.f64 x (*.f64 x x))))) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (fma.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(/ (- (* -1/288 (pow x 6)) 6) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/288 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (*.f64 x x))
(/ (- (* (pow x 6) (- (* -1/3456 (pow x 2)) 1/288)) 6) (pow x 2))
(/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal -1/3456 binary64)) #s(literal -1/288 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (.f64 x x))
(/ (- (* (pow x 6) (- (* (pow x 2) (- (* -1/41472 (pow x 2)) 1/3456)) 1/288)) 6) (pow x 2))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/41472 binary64) #s(literal -1/3456 binary64)) #s(literal -1/288 binary64)) #s(literal -6 binary64)) (*.f64 x x))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 864 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 72 (pow x 6)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 864 (/ 1 (pow x 8))) (/ 72 (pow x 6))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 864 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1/2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))

eval140.0ms (1.7%)

Memory: -16.5MiB live, 227.2MiB allocated
Compiler: Compiled 50 670 to 3 135 computations (93.8% saved)

prune114.0ms (1.4%)

Memory

-18.1MiB live, 181.7MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	907	2	909
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	909	8	917

Accuracy

100.0%

Counts

917 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
	2.7%	(/.f64 #s(literal -6 binary64) x)
✓	51.3%	(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
✓	51.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
	2.6%	(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
✓	52.2%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓	7.9%	#s(literal 1 binary64)

Compiler

Compiled 252 to 100 computations (60.3% saved)

regimes9.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -6 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))

Calls

2 calls:

4.0ms	x
4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -6 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))
(.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/576 binary64)))) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(.f64 x (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/576 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))

Outputs

(*.f64 x (fma.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))

#s(literal 1 binary64)

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
56.1%	2	`x`
56.5%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -6 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 x x)))

Outputs
(.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
56.0%	2	`x`
55.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
7.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
7.9%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.701858784087891e-6	0.010935225303916486

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch20.0ms (0.2%)

Memory

-23.1MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.540371155803509e-5	5.330065481504404

Samples

13.0ms

144×

valid

Compiler

Compiled 128 to 100 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 4.0ms (43.8% of total)

ival-sin: 4.0ms (43.8% of total)

ival-sub: 1.0ms (10.9% of total)

ival-div: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.540371155803509e-5	5.330065481504404

Compiler

Compiled 83 to 73 computations (12% saved)

simplify7.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	64
1	50	64
2	59	64
3	66	64
4	69	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) (.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) (.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 5902958103587057/590295810358705651712 binary64)) (.f64 x (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (neg.f64 #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.0s (12.5%)

Memory

-15.3MiB live, 517.6MiB allocated

Rules

19 148×	`lower-fma.f64`
19 148×	`lower-fma.f32`
7 346×	`lower-fma.f64`
7 346×	`lower-fma.f32`
7 312×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	20	28
1	58	28
2	241	28
3	1712	28
0	8298	28
0	79	286
1	224	286
2	555	280
3	1656	280
4	3000	280
5	4243	280
6	4592	280
7	5323	280
8	6815	280
0	8390	256
0	6	15
0	10	12
1	39	12
2	245	12
3	2355	11
0	8885	11
0	114	440
1	231	440
2	522	438
3	1165	438
4	2522	438
5	5112	438
0	8376	417

Stop Event

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

Compiler

Compiled 128 to 75 computations (41.4% saved)

preprocess50.0ms (0.6%)

Memory: -12.1MiB live, 100.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 166 to 90 computations (45.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14

analyze129.0ms (1.6%)

sample1.8s (22.2%)

preprocess53.0ms (0.6%)

explain193.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.3%)

localize88.0ms (1.1%)

series3.0ms (0%)

rewrite296.0ms (3.6%)

simplify471.0ms (5.7%)

eval106.0ms (1.3%)

prune75.0ms (0.9%)

simplify5.0ms (0.1%)

localize46.0ms (0.6%)

series5.0ms (0.1%)

rewrite372.0ms (4.5%)

simplify321.0ms (3.9%)

eval78.0ms (0.9%)

prune66.0ms (0.8%)

simplify243.0ms (3%)

localize75.0ms (0.9%)

series6.0ms (0.1%)

rewrite440.0ms (5.4%)

simplify266.0ms (3.2%)

eval106.0ms (1.3%)

prune101.0ms (1.2%)

simplify349.0ms (4.2%)

localize151.0ms (1.8%)

series8.0ms (0.1%)

rewrite505.0ms (6.1%)

simplify431.0ms (5.2%)

eval140.0ms (1.7%)

prune114.0ms (1.4%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (12.5%)

preprocess50.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Iter	Nodes	Cost
0	6	17
0	10	14
1	20	14
2	26	14
3	37	14
4	58	14
5	81	14
6	114	14
7	188	14
8	310	14
9	519	14
10	561	14
11	564	14
12	572	14
13	578	14
14	582	14
15	589	14
16	596	14
17	597	14
0	597	14