Details

analyze343.0ms (7.3%)

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)

sample1.4s (28.9%)

Results

1.2s	7978×	body	128	valid
112.0ms	824×	body	128	invalid
76.0ms	278×	body	256	valid

Compiler

Compiled 86 to 62 computations (27.9% saved)

preprocess45.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

801×	`fma-def_binary64`
685×	`div-sub_binary64`
295×	`fma-neg_binary64`
210×	`associate-/l*_binary64`
209×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	99	88
2	220	88
3	445	88
4	763	88
5	1256	88
6	2230	88
7	4450	88
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 20 to 14 computations (30% saved)

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary64`
619×	`times-frac_binary64`
367×	`fma-def_binary64`
242×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	72	22
3	163	22
4	267	22
5	436	22
6	747	22
7	1335	22
8	2689	22
9	4086	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

27.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	27.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b b (.f64 a (.f64 c -4)))
✓	0.1b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
✓	0.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	27.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

series119.0ms (2.5%)

Counts

4 → 96

Calls

36 calls:

10.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))	a	-inf
10.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))	a	inf
7.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))	c	-inf
7.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))	c	inf
6.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)	c	-inf

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
158×	`egg-rr`
139×	`add-sqr-sqrt_binary64`
132×	`log1p-expm1-u_binary64`
132×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	281	59
2	3626	59

Stop Event

1×	node limit

Counts

4 → 158

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
430×	`fma-def_binary64`
421×	`associate-/r*_binary64`
142×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	402	2164
2	1405	2078

Stop Event

1×	node limit

Counts

254 → 232

prune147.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	223	9	232
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	224	10	234

Error

0.7b

Counts

234 → 10

Alt Table

Status	Error	Program
	27.7b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1)) b) (/.f64 1/2 a))
	5.2b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (/.f64 1/2 a))
	28.4b	(.f64 (-.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2)))) b) (/.f64 1/2 a))
	5.3b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
▶	5.0b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	27.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	28.7b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	28.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	28.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))

Compiler

Compiled 6288 to 3940 computations (37.3% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series258.0ms (5.5%)

Counts

4 → 72

Calls

30 calls:

41.0ms	(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	-inf
12.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	a	inf
11.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	a	-inf
11.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	c	inf
11.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	a	0

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

185×	`add-sqr-sqrt_binary64`
184×	`log1p-expm1-u_binary64`
184×	`expm1-log1p-u_binary64`
177×	`add-cbrt-cube_binary64`
175×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	403	52

Stop Event

1×	node limit

Counts

4 → 142

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

817×	`associate-/l*_binary64`
434×	`associate-/r*_binary64`
412×	`associate-l_binary64`
368×	`associate-r_binary64`
217×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1152
1	53	1152
2	168	1152
3	813	1152
4	4966	1152

Stop Event

1×	node limit

Counts

214 → 144

prune219.0ms (4.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	144	10	154

Error

0.7b

Counts

154 → 10

Alt Table

Status	Error	Program
	27.7b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1)) b) (/.f64 1/2 a))
▶	5.2b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (/.f64 1/2 a))
	28.4b	(.f64 (-.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2)))) b) (/.f64 1/2 a))
	5.3b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
✓	5.0b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	27.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	28.7b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	28.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	28.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))

Compiler

Compiled 6834 to 4243 computations (37.9% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))
✓	0.3b	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
✓	0.4b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (/.f64 1/2 a))
✓	0.4b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))

series242.0ms (5.1%)

Counts

4 → 108

Calls

33 calls:

19.0ms	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (/.f64 1/2 a))	c	inf
14.0ms	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) (.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4))))) (/.f64 1/2 a))	b	inf
13.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	c	0
12.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	c	-inf
11.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	inf

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`log1p-expm1-u_binary64`
349×	`expm1-log1p-u_binary64`
340×	`add-cbrt-cube_binary64`
336×	`add-log-exp_binary64`
335×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	108
1	757	108

Stop Event

1×	node limit

Counts

4 → 63

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
472×	`unswap-sqr_binary64`
308×	`times-frac_binary64`
262×	`associate-/l*_binary64`
206×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	2511
1	148	2511
2	553	2467
3	3319	2359

Stop Event

1×	node limit

Counts

171 → 81

prune157.0ms (3.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	79	12	91

Error

0.6b

Counts

91 → 12

Alt Table

Status	Error	Program
	8.3b	(log1p.f64 (expm1.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (pow.f64 (.f64 c a) 4) (*.f64 10 (pow.f64 b -7))))) (/.f64 1/2 a))))
	28.7b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	6.1b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (pow.f64 (.f64 c a) 4) (*.f64 10 (pow.f64 b -7))))) (/.f64 1/2 a))) 3)
	27.7b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1)) b) (/.f64 1/2 a))
▶	5.2b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (pow.f64 (.f64 c a) 4) (*.f64 10 (pow.f64 b -7))))) 1/2) a)
	28.4b	(.f64 (-.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2)))) b) (/.f64 1/2 a))
	5.3b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
✓	5.0b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	27.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	28.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	28.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))

Compiler

Compiled 4659 to 3024 computations (35.1% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (*.f64 c a))
✓	0.3b	(/.f64 (pow.f64 a 3) (pow.f64 b 5))
✓	0.4b	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
✓	0.9b	(pow.f64 (*.f64 c a) 4)

series190.0ms (4%)

Counts

4 → 96

Calls

30 calls:

12.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))	c	-inf
11.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))	a	inf
11.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))	a	-inf
11.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))	c	0
10.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))	c	inf

rewrite66.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

172×	`add-sqr-sqrt_binary64`
170×	`log1p-expm1-u_binary64`
170×	`expm1-log1p-u_binary64`
164×	`add-cbrt-cube_binary64`
161×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	377	43
2	4819	43

Stop Event

1×	node limit

Counts

4 → 107

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-/r*_binary64`
355×	`associate-/l/_binary64`
346×	`unswap-sqr_binary64`
319×	`associate-/r/_binary64`
258×	`sqr-pow_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	1392
1	59	1392
2	201	1392
3	1187	1392
4	4282	1212
5	4378	1212
6	4528	1104
7	4725	1104
8	4910	1104

Stop Event

1×	node limit

Counts

203 → 110

prune177.0ms (3.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	110	12	122

Error

0.6b

Counts

122 → 12

Alt Table

Status	Error	Program
	8.3b	(log1p.f64 (expm1.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (pow.f64 (.f64 c a) 4) (*.f64 10 (pow.f64 b -7))))) (/.f64 1/2 a))))
	28.7b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	6.1b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (pow.f64 (.f64 c a) 4) (*.f64 10 (pow.f64 b -7))))) (/.f64 1/2 a))) 3)
	27.7b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1)) b) (/.f64 1/2 a))
✓	5.2b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 (pow.f64 (.f64 c a) 4) (*.f64 10 (pow.f64 b -7))))) 1/2) a)
	28.4b	(.f64 (-.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2)))) b) (/.f64 1/2 a))
	5.3b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
✓	5.0b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	27.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	28.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	28.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))

Compiler

Compiled 5906 to 3658 computations (38.1% saved)

regimes565.0ms (12%)

Accuracy

Total 5.4b remaining (86.2%)

Threshold costs 0b (0%)

Counts

95 → 1

Compiler

Compiled 15048 to 10502 computations (30.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	57
1	31	57
2	36	57
3	38	57
4	39	57

Stop Event

1×

saturated

end295.0ms (6.3%)

Stop Event

1×

fuel

Compiler

Compiled 550 to 377 computations (31.5% saved)

Details

analyze343.0ms (7.3%)

sample1.4s (28.9%)

preprocess45.0ms (0.9%)

simplify31.0ms (0.7%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series119.0ms (2.5%)

rewrite72.0ms (1.5%)

simplify47.0ms (1%)

prune147.0ms (3.1%)

localize24.0ms (0.5%)

series258.0ms (5.5%)

rewrite39.0ms (0.8%)

simplify49.0ms (1%)

prune219.0ms (4.6%)

localize29.0ms (0.6%)

series242.0ms (5.1%)

rewrite43.0ms (0.9%)

simplify61.0ms (1.3%)

prune157.0ms (3.3%)

localize28.0ms (0.6%)

series190.0ms (4%)

rewrite66.0ms (1.4%)

simplify94.0ms (2%)

prune177.0ms (3.7%)

regimes565.0ms (12%)

simplify3.0ms (0.1%)

end295.0ms (6.3%)

Profiling