Details

analyze375.0ms (6.1%)

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)

sample1.9s (30.7%)

Results

820.0ms	5272×	body	128	valid
811.0ms	2981×	body	256	valid
147.0ms	976×	body	128	invalid
3.0ms	3×	body	512	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify258.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1743×	`fma-neg_binary64`
1393×	`fma-def_binary64`
800×	`div-sub_binary64`
619×	`times-frac_binary64`
473×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	67	22
3	138	22
4	204	22
5	338	22
6	558	22
7	924	22
8	1388	22
9	1604	22
10	2375	22
11	2742	22
12	2533	22
13	2621	22
14	3171	22
15	3313	22
16	3873	22
17	3679	22
18	4029	22
19	4317	22
20	4485	22
21	4561	22
22	4805	22
23	4793	22
24	4797	22
25	4797	22
26	4948	22

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

42.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	42.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	42.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	38.5b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

series129.0ms (2.1%)

Counts

4 → 96

Calls

4 calls:

59.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
33.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
27.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite77.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
244×	`log1p-udef_binary64`
169×	`egg-rr`
138×	`add-sqr-sqrt_binary64`
132×	`log1p-expm1-u_binary64`

Counts

4 → 169

Calls

4 calls:

71.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
71.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))
71.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
71.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	279	62
2	3385	62
3	5102	62
0	0	0
1	0	0

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
436×	`fma-def_binary64`
432×	`fma-neg_binary64`
426×	`associate-/r*_binary64`

Counts

265 → 241

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	398	2164
2	1327	2078
3	4954	2078
4	5218	2078

prune166.0ms (2.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	226	15	241
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	228	15	243

Error

0.3b

Counts

243 → 15

Alt Table

Status	Error	Program
	43.1b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2)) b) (/.f64 1/2 a))
	3.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	42.3b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	4.4b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.2b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
	6.7b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.3b	(.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/2 a))
	42.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
	3.7b	(.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))
	42.3b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	42.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)
	42.3b	(/.f64 (.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
▶	3.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	43.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
	42.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))

Compiler

Compiled 7129 to 4201 computations (41.1% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series221.0ms (3.6%)

Counts

4 → 120

Calls

4 calls:

94.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
81.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
30.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
14.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite71.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

357×	`log1p-udef_binary64`
209×	`add-sqr-sqrt_binary64`
208×	`log1p-expm1-u_binary64`
208×	`expm1-log1p-u_binary64`
202×	`add-cbrt-cube_binary64`

Counts

4 → 115

Calls

4 calls:

69.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
69.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
69.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
69.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	463	52
2	4548	52
3	5315	52
0	0	0
1	0	0

simplify174.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-l_binary64`
586×	`associate-/r*_binary64`
574×	`associate-r_binary64`
296×	`sqr-pow_binary64`
268×	`associate-/l/_binary64`

Counts

235 → 121

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	1632
1	61	1632
2	191	1632
3	885	1632
4	4139	1632
5	4226	1632
6	4425	1632
7	4760	1632
8	5007	1632

prune525.0ms (8.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	120	16	136

Error

0.3b

Counts

136 → 16

Alt Table

Status	Error	Program
	43.1b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2)) b) (/.f64 1/2 a))
▶	3.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	42.3b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	4.4b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.2b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
	6.7b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.3b	(.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/2 a))
	42.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
	3.7b	(.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))
	42.3b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	42.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)
	42.3b	(/.f64 (.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
✓	3.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	43.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
	12.8b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (log.f64 (exp.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)))) a (/.f64 c b))))
	42.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))

Compiler

Compiled 6197 to 3875 computations (37.5% saved)

localize56.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
✓	0.3b	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
✓	0.4b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
✓	0.5b	(.f64 (.f64 c a) (*.f64 c a))

series118.0ms (1.9%)

Counts

4 → 60

Calls

4 calls:

70.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
18.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
18.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
11.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite67.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`
251×	`log-pow_binary64`
153×	`log1p-expm1-u_binary64`
153×	`expm1-log1p-u_binary64`

Counts

4 → 103

Calls

4 calls:

65.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
65.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
65.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
65.0ms	(.f64 (.f64 c a) (*.f64 c a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	346	34
2	3733	34
3	4904	34
0	0	0
1	0	0

simplify160.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

620×	`times-frac_binary64`
581×	`sqr-pow_binary64`
507×	`unswap-sqr_binary64`
460×	`associate-/l*_binary64`
246×	`associate-/r*_binary64`

Counts

163 → 107

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	816
1	29	816
2	88	816
3	390	816
4	2482	816
5	3415	816
6	3369	816
7	3508	816
8	3672	816
9	3838	816
10	3998	816
11	4170	816
12	4395	816
13	4601	816
14	4900	816
15	4892	816

prune287.0ms (4.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	106	17	123

Error

0.3b

Counts

123 → 17

Alt Table

Status	Error	Program
	43.1b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2)) b) (/.f64 1/2 a))
✓	3.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
✓	3.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	7.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) 1))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	42.3b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	4.4b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.2b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
	6.7b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.3b	(.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/2 a))
	42.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
▶	3.7b	(.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))
	42.3b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	42.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)
	42.3b	(/.f64 (.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
	43.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
	12.8b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (log.f64 (exp.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)))) a (/.f64 c b))))
	42.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))

Compiler

Compiled 6445 to 4183 computations (35.1% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series86.0ms (1.4%)

Counts

2 → 0

Calls

2 calls:

73.0ms	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
12.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))

rewrite54.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
267×	`pow2_binary64`
186×	`pow1/3_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Counts

2 → 75

Calls

2 calls:

52.0ms	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
52.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	235	20
2	2592	20
3	5041	20
0	0	0
1	0	0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune291.0ms (4.8%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	14	14
Picked	0	1	1
Done	0	2	2
Total	107	18	125

Error

0.3b

Counts

125 → 18

Alt Table

Status	Error	Program
	43.1b	(.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 3/2)) b) (/.f64 1/2 a))
✓	3.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	23.1b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 c a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 c 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))
✓	3.7b	(.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))
✓	3.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	7.7b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) 1))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	42.3b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	4.4b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.2b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
	6.7b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	43.3b	(.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/2 a))
	42.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
	42.3b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	42.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)
	42.3b	(/.f64 (.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (/.f64 1/2 a)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))
	43.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/2 a))
	12.8b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (log.f64 (exp.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)))) a (/.f64 c b))))
	42.1b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))

Compiler

Compiled 6697 to 4613 computations (31.1% saved)

regimes548.0ms (9%)

Accuracy

Total 2.6b remaining (87%)

Threshold costs 0b (0%)

Counts

84 → 1

Compiler

Compiled 12884 to 9046 computations (29.8% 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
5	40	57

end410.0ms (6.7%)

Compiler: Compiled 726 to 495 computations (31.8% saved)

Details

analyze375.0ms (6.1%)

sample1.9s (30.7%)

simplify258.0ms (4.2%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series129.0ms (2.1%)

rewrite77.0ms (1.3%)

simplify80.0ms (1.3%)

prune166.0ms (2.7%)

localize22.0ms (0.4%)

series221.0ms (3.6%)

rewrite71.0ms (1.2%)

simplify174.0ms (2.8%)

prune525.0ms (8.6%)

localize56.0ms (0.9%)

series118.0ms (1.9%)

rewrite67.0ms (1.1%)

simplify160.0ms (2.6%)

prune287.0ms (4.7%)

localize31.0ms (0.5%)

series86.0ms (1.4%)

rewrite54.0ms (0.9%)

simplify6.0ms (0.1%)

prune291.0ms (4.8%)

regimes548.0ms (9%)

simplify3.0ms (0.1%)

end410.0ms (6.7%)

Profiling