Details

analyze349.0ms (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)

sample1.4s (28.5%)

Results

1.2s	7928×	body	128	valid
124.0ms	878×	body	128	invalid
83.0ms	328×	body	256	valid

Compiler

Compiled 86 to 62 computations (27.9% saved)

preprocess44.0ms (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)

simplify29.0ms (0.6%)

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

27.7b

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))
	27.8b	(/.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)

localize12.0ms (0.3%)

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))
✓	27.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

series124.0ms (2.6%)

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
9.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))	a	-inf
8.0ms	(.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
7.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)	c	inf

rewrite71.0ms (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

simplify49.0ms (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

prune148.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	222	10	232
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	222	12	234

Error

0.9b

Counts

234 → 12

Alt Table

Status	Error	Program
	5.9b	(.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))
	28.7b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
	29.0b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) 3)) b) (/.f64 1/2 a))
▶	5.7b	(-.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))))
	6.0b	(.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))
✓	27.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a))
	27.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.2b	(.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))
	28.9b	(.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))
	28.6b	(.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 6366 to 3992 computations (37.3% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series182.0ms (3.8%)

Counts

4 → 60

Calls

27 calls:

12.0ms	(/.f64 (pow.f64 a 3) (pow.f64 b 7))	a	-inf
11.0ms	(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	inf
11.0ms	(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	c	inf
11.0ms	(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	c	-inf
10.0ms	(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	-inf

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

190×	`add-sqr-sqrt_binary64`
185×	`log1p-expm1-u_binary64`
185×	`expm1-log1p-u_binary64`
182×	`add-cbrt-cube_binary64`
179×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	404	46

Stop Event

1×	node limit

Counts

4 → 135

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

688×	`times-frac_binary64`
482×	`associate-/l*_binary64`
272×	`sqr-pow_binary64`
261×	`associate-/r*_binary64`
247×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	816
1	42	816
2	119	816
3	517	816
4	4070	816
5	4139	816
6	4284	816
7	4508	816
8	4741	816

Stop Event

1×	node limit

Counts

195 → 139

prune222.0ms (4.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	136	15	151

Error

0.8b

Counts

151 → 15

Alt Table

Status	Error	Program
▶	5.9b	(.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))
	28.7b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
	29.0b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) 3)) b) (/.f64 1/2 a))
✓	5.7b	(-.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))))
	23.0b	(-.f64 (.f64 -2 (log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))))) (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))))
	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))
	11.6b	(-.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 (exp.f64 (log1p.f64 (.f64 (*.f64 c c) (pow.f64 b -3)))) 1) a (/.f64 c b))))
	28.6b	(.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))
	6.0b	(.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))
✓	27.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a))
	7.4b	(-.f64 (.f64 -2 (-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)))) 1)) (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))))
	27.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.2b	(.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))
	28.9b	(.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))

Compiler

Compiled 6973 to 4369 computations (37.3% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series191.0ms (4%)

Counts

3 → 72

Calls

27 calls:

15.0ms	(.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	0
13.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	-inf
13.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	c	inf
12.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	c	-inf
12.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	0

rewrite42.0ms (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	95
1	757	95

Stop Event

1×	node limit

Counts

3 → 48

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
426×	`unswap-sqr_binary64`
255×	`times-frac_binary64`
215×	`associate-/l*_binary64`
215×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1935
1	143	1935
2	515	1891
3	3074	1783

Stop Event

1×	node limit

Counts

120 → 64

prune172.0ms (3.6%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	11	12
Picked	0	1	1
Done	0	2	2
Total	95	16	111

Error

0.8b

Counts

111 → 16

Alt Table

Status	Error	Program
✓	5.9b	(.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))
	28.7b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
	6.7b	(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 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7)))) (/.f64 1/2 a))) 3)
	29.0b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) 3)) b) (/.f64 1/2 a))
✓	5.7b	(-.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))))
	11.6b	(-.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 (exp.f64 (log1p.f64 (.f64 (*.f64 c c) (pow.f64 b -3)))) 1) a (/.f64 c b))))
	28.6b	(.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))
	6.0b	(.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))
✓	27.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a))
	7.4b	(-.f64 (.f64 -2 (-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)))) 1)) (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))))
▶	5.8b	(/.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 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7)))) 1/2) a)
	27.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.2b	(.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))
	28.9b	(.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))

Compiler

Compiled 5717 to 3737 computations (34.6% saved)

localize30.0ms (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 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7))
✓	0.3b	(/.f64 (*.f64 c a) (pow.f64 b 3))
✓	0.9b	(pow.f64 (*.f64 c a) 4)

series251.0ms (5.2%)

Counts

4 → 96

Calls

33 calls:

17.0ms	(pow.f64 (*.f64 c a) 4)	a	-inf
14.0ms	(/.f64 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7))	c	inf
14.0ms	(/.f64 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7))	a	inf
13.0ms	(/.f64 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7))	a	0
13.0ms	(/.f64 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7))	a	-inf

rewrite69.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`log1p-udef_binary64`
167×	`add-sqr-sqrt_binary64`
163×	`log1p-expm1-u_binary64`
163×	`expm1-log1p-u_binary64`
159×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	356	46
2	4596	46

Stop Event

1×	node limit

Counts

4 → 136

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-l_binary64`
622×	`associate-/r*_binary64`
243×	`associate-/r/_binary64`
237×	`associate-/l/_binary64`
231×	`associate-*l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	20	1500
1	51	1500
2	167	1500
3	971	1500
4	4633	1320
5	4756	1320
6	4921	1212

Stop Event

1×	node limit

Counts

232 → 140

prune269.0ms (5.6%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	12	12
Picked	0	1	1
Done	1	2	3
Total	138	18	156

Error

0.8b

Counts

156 → 18

Alt Table

Status	Error	Program
	12.8b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (exp.f64 (.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b -3)))))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 (.f64 10 (pow.f64 (*.f64 c a) 4)) (pow.f64 b 7)))) 1/2) a)
	28.7b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
	11.1b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (log.f64 (+.f64 1 (expm1.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 (.f64 10 (pow.f64 (*.f64 c a) 4)) (pow.f64 b 7)))) 1/2) a)
	7.4b	(-.f64 (.f64 -2 (-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3)))) 1)) (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))))
	6.7b	(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 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7)))) (/.f64 1/2 a))) 3)
	29.0b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) 3)) b) (/.f64 1/2 a))
✓	5.7b	(-.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))))
	11.0b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 c a) (pow.f64 b -3)))) 1) (.f64 c a)))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (/.f64 (.f64 10 (pow.f64 (*.f64 c a) 4)) (pow.f64 b 7)))) 1/2) a)
✓	5.8b	(/.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 (.f64 10 (pow.f64 (.f64 c a) 4)) (pow.f64 b 7)))) 1/2) a)
	11.6b	(-.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 (exp.f64 (log1p.f64 (.f64 (*.f64 c c) (pow.f64 b -3)))) 1) a (/.f64 c b))))
	28.6b	(.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))
	6.0b	(.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))
✓	27.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	27.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a))
	27.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	28.2b	(.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))
	28.9b	(.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))

Compiler

Compiled 7804 to 4829 computations (38.1% saved)

regimes419.0ms (8.7%)

Accuracy

Total 4.5b remaining (84.8%)

Threshold costs 0b (0%)

Counts

60 → 2

Compiler

Compiled 9072 to 6294 computations (30.6% saved)

bsearch10.0ms (0.2%)

Algorithm

1×	binary-search

Calls

1 calls:

6.0ms

Steps

Iters	Point		Range
0.19270581419355462	∈ [	0.18888183356990315	,	0.20417775606450908	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	85
1	49	85
2	57	85
3	61	85
4	63	85

Stop Event

1×

saturated

end457.0ms (9.5%)

Stop Event

1×

fuel

Compiler

Compiled 834 to 574 computations (31.2% saved)

Details

analyze349.0ms (7.2%)

sample1.4s (28.5%)

preprocess44.0ms (0.9%)

simplify29.0ms (0.6%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

series124.0ms (2.6%)

rewrite71.0ms (1.5%)

simplify49.0ms (1%)

prune148.0ms (3.1%)

localize25.0ms (0.5%)

series182.0ms (3.8%)

rewrite37.0ms (0.8%)

simplify76.0ms (1.6%)

prune222.0ms (4.6%)

localize28.0ms (0.6%)

series191.0ms (4%)

rewrite42.0ms (0.9%)

simplify52.0ms (1.1%)

prune172.0ms (3.6%)

localize30.0ms (0.6%)

series251.0ms (5.2%)

rewrite69.0ms (1.4%)

simplify75.0ms (1.6%)

prune269.0ms (5.6%)

regimes419.0ms (8.7%)

bsearch10.0ms (0.2%)

simplify3.0ms (0.1%)

end457.0ms (9.5%)

Profiling