Details

analyze348.0ms (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)

sample2.2s (46.3%)

Results

1.0s	3858×	body	256	valid
592.0ms	1499×	body	512	valid
423.0ms	2899×	body	128	valid
124.0ms	839×	body	128	invalid

Compiler

Compiled 106 to 76 computations (28.3% 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

53.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	53.7b	(/.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)

localize48.0ms (1%)

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))))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	29.2b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

series125.0ms (2.6%)

Counts

4 → 96

Calls

4 calls:

53.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
34.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)
28.0ms	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
10.0ms	(fma.f64 b b (.f64 a (.f64 c -4)))

rewrite69.0ms (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

Calls

4 calls:

65.0ms	(fma.f64 b b (.f64 a (.f64 c -4)))
65.0ms	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
65.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
65.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

simplify45.0ms (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

prune139.0ms (2.9%)

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

0.1b

Counts

234 → 8

Alt Table

Status	Error	Program
	52.8b	(.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))
	1.1b	(.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))
	53.8b	(.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))
	1.2b	(.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))
	53.0b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
✓	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶	0.9b	(-.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))))

Compiler

Compiled 6164 to 3854 computations (37.5% 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 c c) (pow.f64 b 3))
✓	0.3b	(*.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))

series210.0ms (4.4%)

Counts

4 → 60

Calls

4 calls:

95.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))
41.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
38.0ms	(/.f64 (pow.f64 a 3) (pow.f64 b 7))
36.0ms	(/.f64 (pow.f64 b 5) (pow.f64 c 3))

rewrite34.0ms (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

Calls

4 calls:

32.0ms	(/.f64 (pow.f64 a 3) (pow.f64 b 7))
32.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
32.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 7)) (pow.f64 c 4))
32.0ms	(/.f64 (pow.f64 b 5) (pow.f64 c 3))

simplify41.0ms (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

prune231.0ms (4.8%)

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

0.1b

Counts

146 → 8

Alt Table

Status	Error	Program
	52.8b	(.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))
▶	1.1b	(.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))
	53.8b	(.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))
	1.2b	(.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))
	53.0b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
✓	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	0.9b	(-.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))))

Compiler

Compiled 6431 to 3976 computations (38.2% saved)

localize28.0ms (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 c 4) (pow.f64 a 4))
	0.4b	(/.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))

series164.0ms (3.4%)

Counts

3 → 72

Calls

3 calls:

67.0ms

(*.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))

66.0ms

(/.f64 (*.f64 c a) (/.f64 (pow.f64 b 3) (*.f64 c a)))

31.0ms

(*.f64 (pow.f64 c 4) (pow.f64 a 4))

rewrite37.0ms (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	92
1	757	92

Stop Event

1×	node limit

Counts

3 → 45

Calls

3 calls:

35.0ms

(/.f64 (*.f64 c a) (/.f64 (pow.f64 b 3) (*.f64 c a)))

35.0ms

(*.f64 (pow.f64 c 4) (pow.f64 a 4))

35.0ms

(*.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))

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
340×	`distribute-rgt-neg-in_binary64`
323×	`unswap-sqr_binary64`
248×	`times-frac_binary64`
215×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1935
1	143	1935
2	503	1891
3	2903	1891

Stop Event

1×	node limit

Counts

117 → 61

prune155.0ms (3.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	94	10	104

Error

0.1b

Counts

104 → 10

Alt Table

Status	Error	Program
✓	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	2.3b	(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)
	53.0b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	1.5b	(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))
✓	0.9b	(-.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))))
	5.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 c a) (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))
▶	1.1b	(.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)) (pow.f64 (.f64 c a) 4)))) (/.f64 1/2 a))
	52.8b	(.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))
	53.8b	(.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 5345 to 3444 computations (35.6% saved)

localize26.0ms (0.5%)

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)))
	0.4b	(/.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)) (pow.f64 (.f64 c a) 4)))) (/.f64 1/2 a))
✓	0.9b	(pow.f64 (*.f64 c a) 4)

series75.0ms (1.6%)

Counts

2 → 60

Calls

2 calls:

59.0ms

(*.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)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a))

15.0ms

(pow.f64 (*.f64 c a) 4)

rewrite32.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

330×	`log1p-expm1-u_binary64`
330×	`expm1-log1p-u_binary64`
324×	`add-cbrt-cube_binary64`
319×	`add-log-exp_binary64`
318×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	76
1	714	76

Stop Event

1×	node limit

Counts

2 → 29

Calls

2 calls:

31.0ms

(*.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)) (pow.f64 (*.f64 c a) 4)))) (/.f64 1/2 a))

31.0ms

(pow.f64 (*.f64 c a) 4)

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
347×	`unswap-sqr_binary64`
338×	`distribute-rgt-neg-in_binary64`
215×	`distribute-neg-frac_binary64`
195×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1599
1	142	1599
2	479	1555
3	2725	1555

Stop Event

1×	node limit

Counts

89 → 43

prune152.0ms (3.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	98	10	108

Error

0.1b

Counts

108 → 10

Alt Table

Status	Error	Program
✓	53.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	2.3b	(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)
	53.0b	(.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 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	1.5b	(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))
✓	0.9b	(-.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))))
	5.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 c a) (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)) (pow.f64 (.f64 c a) 4)))) (/.f64 1/2 a))
✓	1.1b	(.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)) (pow.f64 (.f64 c a) 4)))) (/.f64 1/2 a))
	52.8b	(.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))
	53.8b	(.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 5010 to 3111 computations (37.9% saved)

regimes207.0ms (4.3%)

Accuracy

Total 1.2b remaining (85.2%)

Threshold costs 0b (0%)

Counts

39 → 1

Compiler

Compiled 5804 to 3978 computations (31.5% 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

end272.0ms (5.6%)

Compiler: Compiled 493 to 332 computations (32.7% saved)

Details

analyze348.0ms (7.2%)

sample2.2s (46.3%)

simplify29.0ms (0.6%)

prune4.0ms (0.1%)

localize48.0ms (1%)

series125.0ms (2.6%)

rewrite69.0ms (1.4%)

simplify45.0ms (0.9%)

prune139.0ms (2.9%)

localize24.0ms (0.5%)

series210.0ms (4.4%)

rewrite34.0ms (0.7%)

simplify41.0ms (0.9%)

prune231.0ms (4.8%)

localize28.0ms (0.6%)

series164.0ms (3.4%)

rewrite37.0ms (0.8%)

simplify51.0ms (1.1%)

prune155.0ms (3.2%)

localize26.0ms (0.5%)

series75.0ms (1.6%)

rewrite32.0ms (0.7%)

simplify43.0ms (0.9%)

prune152.0ms (3.1%)

regimes207.0ms (4.3%)

simplify3.0ms (0.1%)

end272.0ms (5.6%)

Profiling