Details

analyze453.0ms (5%)

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 33 to 24 computations (27.3% saved)

sample57.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms	126×	body	256	valid
11.0ms	48×	body	512	valid
9.0ms	284×	pre	128	true
5.0ms	82×	body	128	valid
2.0ms	28×	body	128	nan

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify362.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1968×	`fma-neg_binary64`
1363×	`fma-def_binary64`
898×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	64	22
3	135	22
4	201	22
5	335	22
6	554	22
7	929	22
8	1477	22
9	2115	22
10	2599	22
11	2554	22
12	2602	22
13	2671	22
14	3117	22
15	2327	22
16	2375	22
17	2383	22
18	2389	22
19	2395	22
20	2397	22
21	2397	22
22	2585	22
23	2685	22
24	2619	22
25	2631	22
26	2661	22
27	2677	22
28	2707	22
29	2707	22
30	2751	22
31	2851	22
32	2827	22
33	2827	22
34	2638	22

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

53.1b

Counts

2 → 2

Alt Table

Status	Error	Program
	53.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
▶	53.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 94 to 64 computations (31.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
27.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite296.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

50.0b

Rules

28×	`pow1_binary64`
26×	`add-cube-cbrt_binary64`
21×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 183

Calls

4 calls:

23.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
20.0ms	(.f64 (.f64 3 a) c)
17.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
16.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

Compiler

Compiled 4489 to 2575 computations (42.6% saved)

series140.0ms (1.5%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

46.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
38.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
29.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
10.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2319 to 1714 computations (26.1% saved)

simplify327.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
237×	`associate-r_binary64`
223×	`associate-l_binary64`
203×	`div-sub_binary64`
145×	`neg-sub0_binary64`

Counts

243 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	4775
1	827	4266
2	3396	4071
3	4971	4071
4	5054	4071

prune86.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	154	8	162

Error

0.1b

Counts

162 → 8

Alt Table

Status	Error	Program
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) 3) a)
	2.0b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	52.8b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	2.8b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) a) 3)
	52.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2) (pow.f64 b 3)) (+.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	52.8b	(/.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
▶	1.6b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 c b) 1/2 (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 3141 to 1906 computations (39.3% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite359.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

31×	`add-cube-cbrt_binary64`
24×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`pow1_binary64`

Counts

4 → 162

Calls

4 calls:

20.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
18.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
18.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
17.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 6497 to 3971 computations (38.9% saved)

series139.0ms (1.5%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

47.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
42.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
23.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
22.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2892 to 2118 computations (26.8% saved)

simplify196.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-def_binary64`
367×	`associate-/l/_binary64`
248×	`associate-l_binary64`
236×	`log-prod_binary64`
234×	`associate-r_binary64`

Counts

192 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	2418
1	461	2159
2	2334	2117
3	4801	2117
4	5488	2117

prune159.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	118	10	128

Error

0.1b

Counts

128 → 10

Alt Table

Status	Error	Program
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) 3) a)
▶	2.0b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	52.8b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
	2.8b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) a) 3)
	52.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2) (pow.f64 b 3)) (+.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	52.8b	(/.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	4.3b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 c b) 1/2 (.f64 3/8 (log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))))))))
	4.2b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (cbrt.f64 (pow.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) 3)) (pow.f64 b 7)) (fma.f64 (/.f64 c b) 1/2 (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))
✓	1.6b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 c b) 1/2 (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 4051 to 2541 computations (37.3% saved)

localize69.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
0.4b	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 c a) (*.f64 c a))
0.7b	(pow.f64 (*.f64 c a) 3)

rewrite358.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

39×	`pow1_binary64`
27×	`add-cube-cbrt_binary64`
24×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
17×	`pow-prod-down_binary64`

Counts

4 → 184

Calls

4 calls:

20.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
19.0ms	(.f64 (.f64 c a) (*.f64 c a))
17.0ms	(pow.f64 (*.f64 c a) 3)
15.0ms	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))

Compiler

Compiled 9137 to 5318 computations (41.8% saved)

series178.0ms (2%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

73.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
55.0ms	(/.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 b 5))
22.0ms	(pow.f64 (*.f64 c a) 3)
21.0ms	(.f64 (.f64 c a) (*.f64 c a))

Compiler

Compiled 3148 to 2256 computations (28.3% saved)

simplify172.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-def_binary64`
338×	`unswap-sqr_binary64`
179×	`times-frac_binary64`
168×	`associate-r_binary64`
167×	`associate-l_binary64`

Counts

226 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	5737
1	583	5169
2	2610	5020
3	4831	5012
4	5067	5012

prune155.0ms (1.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	132	11	143

Error

0.1b

Counts

143 → 11

Alt Table

Status	Error	Program
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) 3) a)
✓	2.0b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	52.8b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))
▶	2.8b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) a) 3)
	52.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2) (pow.f64 b 3)) (+.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	52.8b	(/.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	2.9b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))) (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))))) 3) (/.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))) a))
	4.3b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 c b) 1/2 (.f64 3/8 (log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))))))))
	2.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
✓	1.6b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 c b) 1/2 (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 5108 to 3130 computations (38.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
0.3b	(.f64 c (.f64 c a))
0.3b	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))

rewrite170.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

24×	`pow1_binary64`
20×	`add-cube-cbrt_binary64`
18×	`add-exp-log_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`

Counts

3 → 115

Calls

3 calls:

17.0ms	(.f64 c (.f64 c a))
16.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
9.0ms	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))

Compiler

Compiled 2236 to 1060 computations (52.6% saved)

series105.0ms (1.2%)

Error

0.1b

Counts

3 → 33

Calls

3 calls:

57.0ms	(fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (*.f64 -1/2 (/.f64 c b)))
32.0ms	(/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))
13.0ms	(.f64 c (.f64 c a))

Compiler

Compiled 1103 to 823 computations (25.4% saved)

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-neg_binary64`
274×	`associate-/r/_binary64`
235×	`associate-/l/_binary64`
211×	`unswap-sqr_binary64`
163×	`distribute-rgt-neg-in_binary64`

Counts

148 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	2151
1	338	1949
2	1559	1923
3	4835	1923
4	5321	1923

prune84.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	96	10	106

Error

0.1b

Counts

106 → 10

Alt Table

Status	Error	Program
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) 3) a)
	2.0b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (*.f64 3 a))
	53.0b	(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) a) 3)
	52.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3/2) (pow.f64 b 3)) (+.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a -3)))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	52.8b	(/.f64 (-.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a -3))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3))))))) (.f64 3 a))
	2.9b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))) (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))))) 3) (/.f64 (cbrt.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))))) a))
	2.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (.f64 3 a)))) (cbrt.f64 (/.f64 (-.f64 (.f64 -3/2 (.f64 (/.f64 c b) a)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 27/16 (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 3 a))))
	4.2b	(fma.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3)))) 1) -3/8 (*.f64 -1/2 (/.f64 c b)))
	1.6b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 c b) 1/2 (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))
	52.8b	(/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -3)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))))) (.f64 3 a))

Compiler

Compiled 1776 to 961 computations (45.9% saved)

regimes2.9s (32.1%)

Accuracy

Total 1.2b remaining (86.4%)

Threshold costs 0b (0%)

Compiler

Compiled 53498 to 35705 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	61
1	35	61
2	35	61

end1.0ms (0%)

Compiler: Compiled 45 to 32 computations (28.9% saved)

sample2.1s (23.3%)

Algorithm

1×

intervals

Results

503.0ms	3760×	body	256	valid
299.0ms	1526×	body	512	valid
290.0ms	8757×	pre	128	true
189.0ms	2714×	body	128	valid
115.0ms	757×	body	128	nan

Compiler

Compiled 638 to 420 computations (34.2% saved)

Details

analyze453.0ms (5%)

sample57.0ms (0.6%)

simplify362.0ms (4%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite296.0ms (3.2%)

series140.0ms (1.5%)

simplify327.0ms (3.6%)

prune86.0ms (0.9%)

localize30.0ms (0.3%)

rewrite359.0ms (3.9%)

series139.0ms (1.5%)

simplify196.0ms (2.1%)

prune159.0ms (1.7%)

localize69.0ms (0.8%)

rewrite358.0ms (3.9%)

series178.0ms (2%)

simplify172.0ms (1.9%)

prune155.0ms (1.7%)

localize11.0ms (0.1%)

rewrite170.0ms (1.9%)

series105.0ms (1.2%)

simplify136.0ms (1.5%)

prune84.0ms (0.9%)

regimes2.9s (32.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.1s (23.3%)

Profiling