Details

analyze361.0ms (4.3%)

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)

sample1.5s (18%)

Results

1.2s	7918×	body	128	valid
131.0ms	893×	body	128	invalid
91.0ms	338×	body	256	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify287.0ms (3.4%)

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%)

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

28.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	28.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	28.9b	(/.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 (0.1%)

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))
✓	0.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	28.8b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

series181.0ms (2.2%)

Counts

4 → 96

Calls

4 calls:

80.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
50.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
40.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite283.0ms (3.4%)

Algorithm

4×	egg-rewrite

Rules

105×	`egg`
61×	`egg`
50×	`egg`
23×	`egg`

Counts

4 → 239

Calls

4 calls:

124.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
65.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
45.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))
44.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	210	16
2	2486	15
3	4671	15
4	4749	15
5	5234	15
0	13	22
1	279	22
2	3385	22
3	5102	22
0	8	11
1	159	11
2	1723	11
3	5314	11
0	9	13
1	178	13
2	1913	13
3	5067	13

simplify89.0ms (1.1%)

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

335 → 310

Iterations

Useful iterations: 2 (0.0ms)

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

prune519.0ms (6.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	296	14	310
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	298	14	312

Error

0.6b

Counts

312 → 14

Alt Table

Status	Error	Program
	28.8b	(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3) (pow.f64 (/.f64 1/2 a) 3)))
	28.9b	(.f64 (.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	28.0b	(/.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)))))
	4.8b	(.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))
	28.3b	(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1/2 a)) (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))
	29.5b	(+.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)))
	6.5b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -4)) (/.f64 1/2 a))
	28.0b	(/.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))))))
	30.0b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
▶	4.7b	(-.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))))
	28.9b	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/2 (cbrt.f64 a)))
	28.9b	(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) (.f64 (cbrt.f64 (/.f64 1/2 a)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	4.8b	(.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))
	30.3b	(.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)) (/.f64 1/2 a))

Compiler

Compiled 8376 to 5067 computations (39.5% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series328.0ms (3.9%)

Counts

4 → 120

Calls

4 calls:

164.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
109.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
35.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
20.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite309.0ms (3.7%)

Algorithm

4×	egg-rewrite

Rules

67×	`egg`
62×	`egg`
52×	`egg`
34×	`egg`

Counts

4 → 215

Calls

4 calls:

88.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
81.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
74.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
63.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	261	16
2	2886	16
3	4999	16
4	5243	16
0	8	10
1	168	10
2	1652	10
3	4958	10
4	4860	10
0	7	10
1	150	10
2	1774	10
3	4985	10
4	5317	10
0	11	16
1	237	16
2	2782	16
3	4890	16

simplify133.0ms (1.6%)

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

335 → 220

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

prune603.0ms (7.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	216	4	220
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	216	18	234

Error

0.5b

Counts

234 → 18

Alt Table

Status	Error	Program
	28.8b	(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3) (pow.f64 (/.f64 1/2 a) 3)))
	28.9b	(.f64 (.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	28.0b	(/.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)))))
	6.9b	(-.f64 (.f64 -2 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))) (log.f64 (cbrt.f64 (exp.f64 (/.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))))
	4.8b	(.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))
	28.3b	(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1/2 a)) (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))
	13.9b	(-.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))))
	29.5b	(+.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)))
	6.5b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -4)) (/.f64 1/2 a))
	11.6b	(-.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 (exp.f64 (log1p.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)))) 1) a (/.f64 c b))))
	30.3b	(.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)) (/.f64 1/2 a))
	28.0b	(/.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))))))
	30.0b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	5.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (log.f64 (exp.f64 (/.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))))
✓	4.7b	(-.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))))
	28.9b	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/2 (cbrt.f64 a)))
	28.9b	(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) (.f64 (cbrt.f64 (/.f64 1/2 a)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
▶	4.8b	(.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))

Compiler

Compiled 10867 to 6736 computations (38% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
✓	0.4b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
✓	0.4b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
✓	0.5b	(.f64 (.f64 c a) (*.f64 c a))

series322.0ms (3.8%)

Counts

4 → 60

Calls

4 calls:

179.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
80.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
51.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
11.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite266.0ms (3.2%)

Algorithm

4×	egg-rewrite

Rules

80×	`egg`
71×	`egg`
64×	`egg`
38×	`egg`

Counts

4 → 253

Calls

4 calls:

84.0ms	(.f64 (.f64 c a) (*.f64 c a))
71.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
53.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
53.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	103	7
2	1194	7
3	4997	7
4	6447	7
0	7	7
1	149	7
2	1524	7
3	4953	7
4	4915	7
0	11	13
1	242	13
2	2756	13
3	4904	13
0	9	13
1	194	13
2	2463	13
3	4914	13

simplify189.0ms (2.2%)

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

313 → 252

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

prune742.0ms (8.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	249	3	252
Fresh	1	15	16
Picked	0	1	1
Done	0	1	1
Total	250	20	270

Error

0.5b

Counts

270 → 20

Alt Table

Status	Error	Program
	12.1b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c a) 2) (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))
	30.0b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	28.8b	(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3) (pow.f64 (/.f64 1/2 a) 3)))
	28.9b	(.f64 (.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	28.0b	(/.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)))))
	6.9b	(-.f64 (.f64 -2 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))) (log.f64 (cbrt.f64 (exp.f64 (/.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))))
▶	4.8b	(.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))
	28.3b	(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1/2 a)) (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))
	29.5b	(+.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)))
	6.5b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -4)) (/.f64 1/2 a))
	11.6b	(-.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 (exp.f64 (log1p.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)))) 1) a (/.f64 c b))))
	30.3b	(.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)) (/.f64 1/2 a))
	28.0b	(/.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))))))
	5.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (log.f64 (exp.f64 (/.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))))
✓	4.7b	(-.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))))
	7.8b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c a) 2))) 1) (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))
	28.9b	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/2 (cbrt.f64 a)))
	12.5b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c a) 2) (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))
	28.9b	(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) (.f64 (cbrt.f64 (/.f64 1/2 a)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
✓	4.8b	(.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))

Compiler

Compiled 14639 to 9405 computations (35.8% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series92.0ms (1.1%)

Counts

2 → 0

Calls

2 calls:

80.0ms	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
13.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))

rewrite97.0ms (1.2%)

Algorithm

2×	egg-rewrite

Rules

71×	`egg`
54×	`egg`

Counts

2 → 125

Calls

2 calls:

52.0ms	(/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))
43.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	144	7
2	1405	7
3	5197	7
0	11	13
1	235	13
2	2592	13
3	5041	13

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

125 → 123

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune704.0ms (8.4%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	2	15	17
Picked	0	1	1
Done	0	2	2
Total	223	20	243

Error

0.5b

Counts

243 → 20

Alt Table

Status	Error	Program
	12.1b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c a) 2) (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))
	30.0b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	28.8b	(cbrt.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3) (pow.f64 (/.f64 1/2 a) 3)))
	28.9b	(.f64 (.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	7.8b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c a) 2))) 1) (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))
✓	4.8b	(.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))
	28.0b	(/.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)))))
	6.9b	(-.f64 (.f64 -2 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))) (log.f64 (cbrt.f64 (exp.f64 (/.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))))
✓	4.8b	(.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))
	28.3b	(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1/2 a)) (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))
	29.5b	(+.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)))
	6.5b	(.f64 (fma.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -4)) (/.f64 1/2 a))
	11.6b	(-.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 (exp.f64 (log1p.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)))) 1) a (/.f64 c b))))
	30.3b	(.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)) (/.f64 1/2 a))
	28.0b	(/.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))))))
	5.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (log.f64 (exp.f64 (/.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))))
✓	4.7b	(-.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))))
	28.9b	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/2 (cbrt.f64 a)))
	12.5b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.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))
	28.9b	(.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) (.f64 (cbrt.f64 (/.f64 1/2 a)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))

Compiler

Compiled 13546 to 9373 computations (30.8% saved)

regimes759.0ms (9%)

Accuracy

Total 5.3b remaining (88.6%)

Threshold costs 0b (0%)

Counts

139 → 1

Compiler

Compiled 18940 to 13442 computations (29% saved)

simplify4.0ms (0%)

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

end515.0ms (6.1%)

Compiler: Compiled 921 to 636 computations (30.9% saved)

Details

analyze361.0ms (4.3%)

sample1.5s (18%)

simplify287.0ms (3.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series181.0ms (2.2%)

rewrite283.0ms (3.4%)

simplify89.0ms (1.1%)

prune519.0ms (6.2%)

localize23.0ms (0.3%)

series328.0ms (3.9%)

rewrite309.0ms (3.7%)

simplify133.0ms (1.6%)

prune603.0ms (7.2%)

localize44.0ms (0.5%)

series322.0ms (3.8%)

rewrite266.0ms (3.2%)

simplify189.0ms (2.2%)

prune742.0ms (8.8%)

localize33.0ms (0.4%)

series92.0ms (1.1%)

rewrite97.0ms (1.2%)

simplify8.0ms (0.1%)

prune704.0ms (8.4%)

regimes759.0ms (9%)

simplify4.0ms (0%)

end515.0ms (6.1%)

Profiling