Details

analyze351.0ms (6.5%)

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)

sample1.7s (32.1%)

Results

801.0ms	2991×	body	256	valid
781.0ms	5264×	body	128	valid
126.0ms	914×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 86 to 62 computations (27.9% saved)

preprocess41.0ms (0.8%)

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 (0.5%)

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

42.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	42.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	42.8b	(/.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)

localize9.0ms (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))))
✓	0.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	36.9b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

series120.0ms (2.2%)

Counts

4 → 96

Calls

36 calls:

11.0ms	(.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
8.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))	c	inf
5.0ms	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))	c	inf

rewrite75.0ms (1.4%)

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

simplify48.0ms (0.9%)

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

prune140.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	224	8	232
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	224	10	234

Error

0.5b

Counts

234 → 10

Alt Table

Status	Error	Program
✓	42.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶	3.3b	(-.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))))
	42.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	43.2b	(.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))
	42.6b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
	3.5b	(.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))
	42.0b	(.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))
	42.3b	(.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 -1 b b)) (/.f64 1/2 a))
	42.6b	(.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))
	3.6b	(.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))

Compiler

Compiled 6288 to 3938 computations (37.4% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series241.0ms (4.5%)

Counts

4 → 72

Calls

30 calls:

13.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	a	-inf
12.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	a	inf
12.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	c	0
11.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	c	-inf
11.0ms	(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	0

rewrite37.0ms (0.7%)

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 (0.9%)

Algorithm

1×	egg-herbie

Rules

818×	`associate-/l*_binary64`
435×	`associate-/r*_binary64`
412×	`associate-l_binary64`
375×	`associate-r_binary64`
219×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1152
1	53	1152
2	168	1152
3	814	1152
4	4984	1152

Stop Event

1×	node limit

Counts

214 → 145

prune245.0ms (4.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	145	10	155

Error

0.5b

Counts

155 → 10

Alt Table

Status	Error	Program
	3.8b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b -7)))) 1) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	42.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	43.2b	(.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))
	42.6b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
▶	3.5b	(.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))
✓	42.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	42.0b	(.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))
	42.3b	(.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 -1 b b)) (/.f64 1/2 a))
	42.6b	(.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))
	3.6b	(.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))

Compiler

Compiled 6923 to 4301 computations (37.9% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series190.0ms (3.5%)

Counts

3 → 72

Calls

27 calls:

14.0ms	(.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4)))	a	inf
13.0ms	(.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4)))	a	0
13.0ms	(.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4)))	c	inf
13.0ms	(.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4)))	c	0
12.0ms	(.f64 (/.f64 10 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 4)))	c	-inf

rewrite44.0ms (0.8%)

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 → 43

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
370×	`unswap-sqr_binary64`
239×	`times-frac_binary64`
215×	`distribute-neg-frac_binary64`
209×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	2043
1	150	2043
2	514	1999
3	3018	1999

Stop Event

1×	node limit

Counts

115 → 59

prune167.0ms (3.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	90	14	104

Error

0.4b

Counts

104 → 14

Alt Table

Status	Error	Program
	38.8b	(-.f64 (exp.f64 (log1p.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 b -7)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a)))) 1)
✓	42.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	3.8b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b -7)))) 1) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	42.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	43.2b	(.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))
▶	3.3b	(-.f64 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))) -5 (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -2)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	42.3b	(.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 -1 b b)) (/.f64 1/2 a))
	4.4b	(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 b -7)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a))) 3)
	3.4b	(/.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 b -7)) (pow.f64 (*.f64 c a) 4)))) 1/2) a)
	42.0b	(.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))
	42.6b	(.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))
	42.6b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
	3.6b	(.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))
	3.8b	(cbrt.f64 (pow.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 b -7)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a)) 3))

Compiler

Compiled 5611 to 3638 computations (35.2% saved)

localize38.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series234.0ms (4.4%)

Counts

4 → 60

Calls

27 calls:

16.0ms	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))	b	0
16.0ms	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))	a	0
11.0ms	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))	a	-inf
11.0ms	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))	c	inf
11.0ms	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))	c	-inf

rewrite39.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

191×	`add-sqr-sqrt_binary64`
190×	`log1p-expm1-u_binary64`
190×	`expm1-log1p-u_binary64`
184×	`add-cbrt-cube_binary64`
182×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	421	46

Stop Event

1×	node limit

Counts

4 → 131

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	816
1	42	816
2	119	816
3	515	816
4	4067	816
5	4136	816
6	4281	816
7	4505	816
8	4738	816

Stop Event

1×	node limit

Counts

191 → 135

prune284.0ms (5.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	135	14	149

Error

0.4b

Counts

149 → 14

Alt Table

Status	Error	Program
	38.8b	(-.f64 (exp.f64 (log1p.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 b -7)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a)))) 1)
✓	42.7b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	3.8b	(-.f64 (.f64 -2 (/.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) (fma.f64 5 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b -7)))) 1) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	42.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	43.2b	(.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))
✓	3.3b	(-.f64 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7))) -5 (.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -2)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	42.3b	(.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 -1 b b)) (/.f64 1/2 a))
	4.4b	(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 b -7)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a))) 3)
	3.4b	(/.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 b -7)) (pow.f64 (*.f64 c a) 4)))) 1/2) a)
	42.0b	(.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))
	42.6b	(.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))
	42.6b	(.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 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
	3.6b	(.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))
	3.8b	(cbrt.f64 (pow.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 b -7)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a)) 3))

Compiler

Compiled 6327 to 3910 computations (38.2% saved)

regimes691.0ms (12.9%)

Accuracy

Total 2.6b remaining (87.1%)

Threshold costs 0b (0%)

Counts

105 → 1

Compiler

Compiled 17668 to 12274 computations (30.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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	28	57
1	33	57
2	38	57
3	40	57
4	41	57

Stop Event

1×

saturated

end380.0ms (7.1%)

Stop Event

1×

fuel

Compiler

Compiled 660 to 453 computations (31.4% saved)

Details

analyze351.0ms (6.5%)

sample1.7s (32.1%)

preprocess41.0ms (0.8%)

simplify29.0ms (0.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series120.0ms (2.2%)

rewrite75.0ms (1.4%)

simplify48.0ms (0.9%)

prune140.0ms (2.6%)

localize23.0ms (0.4%)

series241.0ms (4.5%)

rewrite37.0ms (0.7%)

simplify49.0ms (0.9%)

prune245.0ms (4.6%)

localize28.0ms (0.5%)

series190.0ms (3.5%)

rewrite44.0ms (0.8%)

simplify54.0ms (1%)

prune167.0ms (3.1%)

localize38.0ms (0.7%)

series234.0ms (4.4%)

rewrite39.0ms (0.7%)

simplify79.0ms (1.5%)

prune284.0ms (5.3%)

regimes691.0ms (12.9%)

simplify3.0ms (0.1%)

end380.0ms (7.1%)

Profiling