Details

analyze355.0ms (7.1%)

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 (43.8%)

Results

1.1s	3950×	body	256	valid
571.0ms	1498×	body	512	valid
429.0ms	2808×	body	128	valid
123.0ms	845×	body	128	invalid

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

53.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	53.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	53.6b	(/.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 3 expressions with local error:

New	Error	Program
✓	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))
✓	28.4b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

series107.0ms (2.1%)

Counts

3 → 60

Calls

27 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
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

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
139×	`add-sqr-sqrt_binary64`
132×	`log1p-expm1-u_binary64`
132×	`expm1-log1p-u_binary64`
131×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	281	48
2	3626	48

Stop Event

1×	node limit

Counts

3 → 130

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

728×	`times-frac_binary64`
467×	`associate-/l*_binary64`
417×	`fma-def_binary64`
407×	`associate-/r*_binary64`
136×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1839
1	396	1816
2	1389	1730

Stop Event

1×	node limit

Counts

190 → 198

prune133.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	188	10	198
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	190	10	200

Error

0.2b

Counts

200 → 10

Alt Table

Status	Error	Program
	52.6b	(.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))
	0.8b	(.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 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
	53.7b	(.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))
	0.9b	(.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))
	2.0b	(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
	5.3b	(/.f64 (neg.f64 c) b)
	53.5b	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/2) b) (/.f64 1/2 a))
	52.9b	(.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))
	53.1b	(.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))
▶	0.6b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

Compiler

Compiled 5522 to 3457 computations (37.4% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 c (/.f64 (pow.f64 b 3) c))
✓	0.3b	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
✓	0.4b	(/.f64 (pow.f64 b 5) (*.f64 a (pow.f64 c 3)))
✓	1.0b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))

series230.0ms (4.6%)

Counts

4 → 96

Calls

30 calls:

14.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))	a	-inf
13.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))	a	0
13.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))	c	-inf
12.0ms	(/.f64 (pow.f64 b 5) (*.f64 a (pow.f64 c 3)))	a	0
12.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))	c	0

rewrite38.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`add-sqr-sqrt_binary64`
204×	`log1p-expm1-u_binary64`
204×	`expm1-log1p-u_binary64`
197×	`add-cbrt-cube_binary64`
195×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	449	49

Stop Event

1×	node limit

Counts

4 → 106

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-/l*_binary64`
482×	`associate-/r*_binary64`
426×	`associate-l_binary64`
360×	`associate-r_binary64`
210×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1284
1	59	1284
2	182	1284
3	833	1284

Stop Event

1×	node limit

Counts

202 → 110

prune211.0ms (4.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Error

0.2b

Counts

120 → 10

Alt Table

Status	Error	Program
	52.6b	(.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))
▶	0.8b	(.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 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
	53.7b	(.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))
	0.9b	(.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))
	2.0b	(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
	5.3b	(/.f64 (neg.f64 c) b)
	53.5b	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/2) b) (/.f64 1/2 a))
	52.9b	(.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))
	53.1b	(.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))
✓	0.6b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

Compiler

Compiled 5405 to 3542 computations (34.5% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
✓	0.3b	(.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 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
✓	0.4b	(/.f64 (pow.f64 a 3) (pow.f64 b 5))
✓	1.1b	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))

series254.0ms (5.1%)

Counts

4 → 108

Calls

33 calls:

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

rewrite41.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`log1p-expm1-u_binary64`
345×	`expm1-log1p-u_binary64`
335×	`add-cbrt-cube_binary64`
331×	`add-log-exp_binary64`
330×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	114
1	749	102

Stop Event

1×	node limit

Counts

4 → 56

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
511×	`unswap-sqr_binary64`
281×	`times-frac_binary64`
243×	`associate-/l*_binary64`
218×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	2511
1	150	2511
2	544	2467
3	3260	2359

Stop Event

1×	node limit

Counts

164 → 73

prune164.0ms (3.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	73	10	83

Error

0.2b

Counts

83 → 10

Alt Table

Status	Error	Program
	53.7b	(.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))
▶	0.9b	(.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))
	1.2b	(cbrt.f64 (pow.f64 (.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a))) (neg.f64 (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 10)))) (/.f64 1/2 a)) 3))
	52.9b	(.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))
	1.9b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a))) (neg.f64 (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 10)))) (/.f64 1/2 a))) 3)
	2.0b	(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
	53.5b	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/2) b) (/.f64 1/2 a))
	52.6b	(.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))
	53.1b	(.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))
✓	0.6b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

Compiler

Compiled 3997 to 2544 computations (36.4% saved)

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series237.0ms (4.7%)

Counts

4 → 0

Calls

33 calls:

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

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

235×	`log1p-expm1-u_binary64`
235×	`expm1-log1p-u_binary64`
230×	`add-sqr-sqrt_binary64`
225×	`add-cbrt-cube_binary64`
224×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	46
1	541	46

Stop Event

1×	node limit

Counts

4 → 70

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

70 → 70

prune125.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	70	10	80

Error

0.2b

Counts

80 → 10

Alt Table

Status	Error	Program
	53.7b	(.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))
✓	0.9b	(.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))
	1.2b	(cbrt.f64 (pow.f64 (.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a))) (neg.f64 (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 10)))) (/.f64 1/2 a)) 3))
	52.9b	(.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))
	1.9b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (.f64 c a))) (neg.f64 (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7)) 10)))) (/.f64 1/2 a))) 3)
	2.0b	(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
	53.5b	(.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/2) b) (/.f64 1/2 a))
	52.6b	(.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))
	53.1b	(.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))
✓	0.6b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))

Compiler

Compiled 4257 to 2993 computations (29.7% saved)

regimes234.0ms (4.7%)

Accuracy

Total 1.3b remaining (86.1%)

Threshold costs 0b (0%)

Counts

43 → 1

Compiler

Compiled 6644 to 4618 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	27	57
1	32	57
2	37	57
3	39	57
4	40	57

Stop Event

1×

saturated

end254.0ms (5.1%)

Stop Event

1×

fuel

Compiler

Compiled 463 to 315 computations (32% saved)

Details

analyze355.0ms (7.1%)

sample2.2s (43.8%)

preprocess44.0ms (0.9%)

simplify29.0ms (0.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series107.0ms (2.1%)

rewrite68.0ms (1.4%)

simplify45.0ms (0.9%)

prune133.0ms (2.7%)

localize22.0ms (0.4%)

series230.0ms (4.6%)

rewrite38.0ms (0.8%)

simplify37.0ms (0.7%)

prune211.0ms (4.2%)

localize28.0ms (0.6%)

series254.0ms (5.1%)

rewrite41.0ms (0.8%)

simplify64.0ms (1.3%)

prune164.0ms (3.3%)

localize35.0ms (0.7%)

series237.0ms (4.7%)

rewrite34.0ms (0.7%)

simplify7.0ms (0.1%)

prune125.0ms (2.5%)

regimes234.0ms (4.7%)

simplify3.0ms (0.1%)

end254.0ms (5.1%)

Profiling