Details

analyze352.0ms (7.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample2.2s (44.8%)

Results

1.0s	3924×	body	256	valid
551.0ms	1489×	body	512	valid
424.0ms	2843×	body	128	valid
126.0ms	876×	body	128	invalid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
367×	`fma-def_binary64`
351×	`times-frac_binary64`
266×	`associate-/l*_binary64`
254×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	264	22
5	433	22
6	744	22
7	1341	22
8	2769	22
9	4702	22

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

50.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	50.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.2b	(.f64 (.f64 3 a) c)
✓	28.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

series95.0ms (1.9%)

Counts

4 → 100

Calls

4 calls:

49.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
31.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
11.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
4.0ms	(.f64 (.f64 3 a) c)

rewrite69.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`
150×	`add-sqr-sqrt_binary64`
146×	`egg-rr`
145×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	302	56
2	4451	56

Stop Event

1×	node limit

Counts

4 → 146

Calls

4 calls:

66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
66.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
66.0ms	(.f64 (.f64 3 a) c)
66.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
459×	`associate-/l*_binary64`
393×	`associate-/r*_binary64`
333×	`fma-def_binary64`
174×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1940
1	372	1868
2	1313	1839

Stop Event

1×	node limit

Counts

246 → 202

prune123.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	196	6	202
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	196	8	204

Error

0.2b

Counts

204 → 8

Alt Table

Status	Error	Program
	2.8b	(/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) -27/16))) (.f64 3 a))
	50.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
	2.3b	(/.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 3 a))
	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2))))) (.f64 3 a))
	50.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
✓	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	2.0b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
	3.6b	(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))

Compiler

Compiled 5496 to 3431 computations (37.6% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
✓	0.3b	(/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))
✓	0.4b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
✓	0.4b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

series250.0ms (5.1%)

Counts

4 → 108

Calls

4 calls:

82.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
74.0ms	(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
62.0ms	(/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))
32.0ms	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

rewrite35.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

220×	`add-sqr-sqrt_binary64`
218×	`log1p-expm1-u_binary64`
218×	`expm1-log1p-u_binary64`
212×	`add-cbrt-cube_binary64`
209×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	486	55

Stop Event

1×	node limit

Counts

4 → 104

Calls

4 calls:

33.0ms	(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
33.0ms	(/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))
33.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
33.0ms	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

734×	`associate-/r*_binary64`
724×	`associate-l_binary64`
335×	`associate-/l/_binary64`
311×	`associate-/r/_binary64`
280×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	1620
1	67	1620
2	223	1620
3	1173	1620

Stop Event

1×	node limit

Counts

212 → 109

prune187.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Error

0.2b

Counts

117 → 8

Alt Table

Status	Error	Program
	2.8b	(/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) -27/16))) (.f64 3 a))
	50.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
▶	2.3b	(/.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 3 a))
	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2))))) (.f64 3 a))
	50.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
✓	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	2.0b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
	3.6b	(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))

Compiler

Compiled 5538 to 3451 computations (37.7% saved)

localize31.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
✓	0.4b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
✓	0.4b	(/.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 3 a))
✓	0.4b	(*.f64 (pow.f64 c 3) (pow.f64 a 3))

series237.0ms (4.8%)

Counts

4 → 36

Calls

4 calls:

83.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
77.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
59.0ms	(/.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 3 a))
17.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`log1p-expm1-u_binary64`
422×	`expm1-log1p-u_binary64`
395×	`add-log-exp_binary64`
387×	`pow1_binary64`
133×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	99
1	932	99

Stop Event

1×	node limit

Counts

4 → 65

Calls

4 calls:

42.0ms	(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))
42.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
42.0ms	(/.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 3 a))
42.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

953×	`fma-neg_binary64`
390×	`distribute-rgt-neg-in_binary64`
285×	`unswap-sqr_binary64`
262×	`distribute-neg-frac_binary64`
227×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	1446
1	152	1446
2	521	1392
3	2938	1392

Stop Event

1×	node limit

Counts

101 → 78

prune132.0ms (2.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	76	10	86

Error

0.2b

Counts

86 → 10

Alt Table

Status	Error	Program
	2.8b	(/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) -27/16))) (.f64 3 a))
	2.5b	(fma.f64 -1/2 (/.f64 c b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) -3/8 (.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) -9/16)))
	50.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	2.3b	(/.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 3 a))
	3.1b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) (fma.f64 405/128 (.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7)) (.f64 27/16 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (.f64 3 a))) 3)
	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2))))) (.f64 3 a))
	50.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
✓	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	2.0b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
▶	2.4b	(.f64 (neg.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) (fma.f64 405/128 (.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7)) (.f64 27/16 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (/.f64 1 (*.f64 3 a)))

Compiler

Compiled 4536 to 3112 computations (31.4% saved)

localize31.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7))
✓	0.5b	(pow.f64 (*.f64 c a) 2)
✓	0.7b	(pow.f64 (*.f64 c a) 3)
✓	0.9b	(pow.f64 (*.f64 c a) 4)

series115.0ms (2.4%)

Counts

4 → 108

Calls

4 calls:

84.0ms	(.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7))
14.0ms	(pow.f64 (*.f64 c a) 4)
10.0ms	(pow.f64 (*.f64 c a) 3)
6.0ms	(pow.f64 (*.f64 c a) 2)

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
201×	`log-pow_binary64`
134×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	306	34
2	3212	34

Stop Event

1×	node limit

Counts

4 → 107

Calls

4 calls:

45.0ms	(.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7))
45.0ms	(pow.f64 (*.f64 c a) 2)
45.0ms	(pow.f64 (*.f64 c a) 3)
45.0ms	(pow.f64 (*.f64 c a) 4)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

889×	`times-frac_binary64`
515×	`associate-/l*_binary64`
329×	`unswap-sqr_binary64`
261×	`associate-/r*_binary64`
139×	`*-commutative_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	1296
1	50	1296
2	143	1296
3	663	1296
4	4486	1044
5	4646	1044
6	4783	972
7	4958	972

Stop Event

1×	node limit

Counts

215 → 113

prune173.0ms (3.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	113	10	123

Error

0.2b

Counts

123 → 10

Alt Table

Status	Error	Program
	2.8b	(/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))) -9/8 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) -27/16))) (.f64 3 a))
	2.5b	(fma.f64 -1/2 (/.f64 c b) (fma.f64 (/.f64 a (/.f64 (pow.f64 b 3) (.f64 c c))) -3/8 (.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)) -9/16)))
	50.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3)))) b) (/.f64 1/3 a))
✓	2.3b	(/.f64 (neg.f64 (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (*.f64 3 a))
	3.1b	(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) (fma.f64 405/128 (.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7)) (.f64 27/16 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (.f64 3 a))) 3)
	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 2))))) (.f64 3 a))
	50.2b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
✓	50.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	2.0b	(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) -9/16 (fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c c)))))) (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) -135/128))
✓	2.4b	(.f64 (neg.f64 (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)) (fma.f64 405/128 (.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b -7)) (.f64 27/16 (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b -5))))))) (/.f64 1 (*.f64 3 a)))

Compiler

Compiled 6263 to 3904 computations (37.7% saved)

regimes246.0ms (5%)

Accuracy

Total 1.3b remaining (87%)

Threshold costs 0b (0%)

Counts

34 → 1

Compiler

Compiled 6386 to 4556 computations (28.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	61
1	34	61

Stop Event

1×

saturated

end264.0ms (5.4%)

Compiler: Compiled 467 to 329 computations (29.6% saved)

Details

analyze352.0ms (7.2%)

sample2.2s (44.8%)

simplify30.0ms (0.6%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

series95.0ms (1.9%)

rewrite69.0ms (1.4%)

simplify40.0ms (0.8%)

prune123.0ms (2.5%)

localize25.0ms (0.5%)

series250.0ms (5.1%)

rewrite35.0ms (0.7%)

simplify39.0ms (0.8%)

prune187.0ms (3.8%)

localize31.0ms (0.6%)

series237.0ms (4.8%)

rewrite44.0ms (0.9%)

simplify43.0ms (0.9%)

prune132.0ms (2.7%)

localize31.0ms (0.6%)

series115.0ms (2.4%)

rewrite47.0ms (1%)

simplify73.0ms (1.5%)

prune173.0ms (3.5%)

regimes246.0ms (5%)

simplify2.0ms (0%)

end264.0ms (5.4%)

Profiling