Details

analyze381.0ms (7.4%)

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)

sample2.3s (44.5%)

Results

1.1s	3923×	body	256	valid
614.0ms	1543×	body	512	valid
424.0ms	2790×	body	128	valid
126.0ms	871×	body	128	invalid

Compiler

Compiled 86 to 62 computations (27.9% saved)

preprocess48.0ms (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)

simplify32.0ms (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

51.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	51.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	51.1b	(/.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)))
✓	0.0b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	26.7b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

series128.0ms (2.5%)

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
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

rewrite80.0ms (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

simplify50.0ms (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 (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	225	7	232
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	226	8	234

Error

0.2b

Counts

234 → 8

Alt Table

Status	Error	Program
	50.7b	(.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 -1 b b)) (/.f64 1/2 a))
	1.8b	(.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))
	50.7b	(.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))
▶	1.6b	(-.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 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
✓	51.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	50.1b	(.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))
	51.5b	(.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))
	2.0b	(.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))

Compiler

Compiled 6168 to 3858 computations (37.5% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series189.0ms (3.7%)

Counts

4 → 60

Calls

27 calls:

16.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))	c	-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))	a	-inf
11.0ms	(*.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))	a	0

rewrite36.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

190×	`add-sqr-sqrt_binary64`
189×	`log1p-expm1-u_binary64`
189×	`expm1-log1p-u_binary64`
183×	`add-cbrt-cube_binary64`
180×	`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 → 135

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac_binary64`
596×	`associate-/l*_binary64`
332×	`associate-l_binary64`
310×	`associate-/r*_binary64`
261×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	816
1	42	816
2	125	816
3	578	816
4	4990	816

Stop Event

1×	node limit

Counts

195 → 138

prune218.0ms (4.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Error

0.2b

Counts

146 → 8

Alt Table

Status	Error	Program
	50.7b	(.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 -1 b b)) (/.f64 1/2 a))
▶	1.8b	(.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))
	50.7b	(.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))
✓	1.6b	(-.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 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
✓	51.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	50.1b	(.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))
	51.5b	(.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))
	2.0b	(.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))

Compiler

Compiled 6435 to 3970 computations (38.3% 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 c 4) (pow.f64 a 4))
✓	0.4b	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
✓	0.4b	(/.f64 (pow.f64 b 3) (*.f64 c a))

series220.0ms (4.3%)

Counts

4 → 72

Calls

33 calls:

42.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	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)))	c	-inf
11.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	a	-inf
10.0ms	(/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))	c	0

rewrite43.0ms (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	102
1	757	102

Stop Event

1×	node limit

Counts

4 → 62

simplify54.0ms (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	3070	1783

Stop Event

1×	node limit

Counts

134 → 78

prune121.0ms (2.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	77	9	86

Error

0.2b

Counts

86 → 9

Alt Table

Status	Error	Program
✓	51.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	2.2b	(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 (.f64 c a) 4)) (pow.f64 b 7)))) (/.f64 1/2 a)) 3))
	50.7b	(.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 -1 b b)) (/.f64 1/2 a))
✓	1.8b	(.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))
	50.7b	(.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))
✓	1.6b	(-.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 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	50.1b	(.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))
	51.5b	(.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))
▶	2.0b	(.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))

Compiler

Compiled 4232 to 2738 computations (35.3% saved)

localize34.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series233.0ms (4.5%)

Counts

3 → 36

Calls

27 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`log1p-expm1-u_binary64`
405×	`expm1-log1p-u_binary64`
378×	`add-log-exp_binary64`
370×	`pow1_binary64`
133×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	92
1	892	92

Stop Event

1×	node limit

Counts

3 → 48

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
338×	`distribute-lft-neg-in_binary64`
337×	`distribute-rgt-neg-in_binary64`
285×	`unswap-sqr_binary64`
215×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	1359
1	138	1359
2	465	1315
3	2657	1315

Stop Event

1×	node limit

Counts

84 → 62

prune114.0ms (2.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	76	9	85

Error

0.2b

Counts

85 → 9

Alt Table

Status	Error	Program
✓	51.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	2.2b	(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 (.f64 c a) 4)) (pow.f64 b 7)))) (/.f64 1/2 a)) 3))
	50.7b	(.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 -1 b b)) (/.f64 1/2 a))
✓	1.8b	(.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))
	50.7b	(.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))
✓	1.6b	(-.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 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	50.1b	(.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))
	51.5b	(.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))
✓	2.0b	(.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))

Compiler

Compiled 4021 to 2768 computations (31.2% saved)

regimes289.0ms (5.6%)

Accuracy

Total 1.2b remaining (86.1%)

Threshold costs 0b (0%)

Counts

51 → 1

Compiler

Compiled 7920 to 5514 computations (30.4% 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

end253.0ms (4.9%)

Stop Event

1×

fuel

Compiler

Compiled 449 to 310 computations (31% saved)

Details

analyze381.0ms (7.4%)

sample2.3s (44.5%)

preprocess48.0ms (0.9%)

simplify32.0ms (0.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series128.0ms (2.5%)

rewrite80.0ms (1.5%)

simplify50.0ms (1%)

prune147.0ms (2.8%)

localize26.0ms (0.5%)

series189.0ms (3.7%)

rewrite36.0ms (0.7%)

simplify44.0ms (0.9%)

prune218.0ms (4.2%)

localize28.0ms (0.5%)

series220.0ms (4.3%)

rewrite43.0ms (0.8%)

simplify54.0ms (1.1%)

prune121.0ms (2.3%)

localize34.0ms (0.7%)

series233.0ms (4.5%)

rewrite39.0ms (0.8%)

simplify41.0ms (0.8%)

prune114.0ms (2.2%)

regimes289.0ms (5.6%)

simplify3.0ms (0.1%)

end253.0ms (4.9%)

Profiling