Details

analyze449.0ms (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)

sample53.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	240×	body	128	valid
14.0ms	286×	pre	128	true
2.0ms	16×	body	256	valid
2.0ms	30×	body	128	nan

Compiler

Compiled 66 to 48 computations (27.3% saved)

simplify352.0ms (4.8%)

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 → 2

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

prune6.0ms (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

29.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	29.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	29.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 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
✓	0.3b	(fma.f64 a (.f64 c -3) (.f64 b b))
✓	0.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
✓	0.4b	(/.f64 1/3 a)
✓	29.1b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)

series160.0ms (2.2%)

Counts

4 → 76

Calls

4 calls:

91.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
56.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
11.0ms	(fma.f64 a (.f64 c -3) (.f64 b b))
2.0ms	(/.f64 1/3 a)

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
35×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`prod-diff_binary64`

Counts

4 → 123

Calls

4 calls:

9.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
8.0ms	(/.f64 1/3 a)
4.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
0.0ms	(fma.f64 a (.f64 c -3) (.f64 b b))

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary64`
340×	`distribute-rgt-in_binary64`
235×	`cancel-sign-sub-inv_binary64`
185×	`fma-neg_binary64`
160×	`associate-r_binary64`

Counts

199 → 221

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5008
1	661	4039
2	2464	3848
3	4911	3848

prune174.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	210	11	221
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	212	11	223

Error

0.2b

Counts

223 → 11

Alt Table

Status	Error	Program
	29.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (/.f64 1/3 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (cbrt.f64 a)))
	7.2b	(.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 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (/.f64 1/3 a))
	29.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)) (/.f64 (cbrt.f64 1/3) a)))
	6.9b	(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 1/2 (/.f64 c b) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))
	29.3b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (sqrt.f64 1/3) 1)) (/.f64 (sqrt.f64 1/3) a))
	9.2b	(.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -27/16))) (/.f64 1/3 a))
	29.3b	(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 1/3 a))) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 1/3 a)))) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))))
	29.3b	(.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 3) (pow.f64 b 3)) (+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (+.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))) (/.f64 1/3 a))
▶	0.5b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	30.9b	(.f64 (-.f64 (sqrt.f64 (exp.f64 (log.f64 (fma.f64 c (.f64 a -3) (*.f64 b b))))) b) (/.f64 1/3 a))
	31.1b	(.f64 (fma.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (neg.f64 b)) (/.f64 1/3 a))

Compiler

Compiled 6435 to 3769 computations (41.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 a (.f64 c -3) (.f64 b b))
✓	0.3b	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))
✓	0.3b	(fma.f64 a (*.f64 c -3) 0)
	0.4b	(/.f64 1/3 a)

series15.0ms (0.2%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))
5.0ms	(fma.f64 a (*.f64 c -3) 0)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

2 → 44

Calls

2 calls:

6.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))
0.0ms	(fma.f64 a (*.f64 c -3) 0)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

517×	`distribute-rgt-in_binary64`
506×	`associate-/l/_binary64`
492×	`associate-l_binary64`
430×	`associate-/r/_binary64`
383×	`associate-r_binary64`

Counts

92 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1049
1	175	901
2	597	847
3	2395	797
4	4205	797
5	4724	797
6	5000	797
7	4845	797

prune173.0ms (2.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	125	11	136
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	134	13	147

Error

0.0b

Counts

147 → 13

Alt Table

Status	Error	Program
	29.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (/.f64 1/3 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (cbrt.f64 a)))
	0.7b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	6.9b	(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 1/2 (/.f64 c b) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))
	0.9b	(/.f64 (.f64 (cbrt.f64 (.f64 -27 (pow.f64 (.f64 c a) 3))) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	0.7b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))) (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))))) b))
	0.9b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))) (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
▶	0.3b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	1.0b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (fma.f64 c (.f64 a -3) (.f64 b b))))) b))
	1.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) 0)) (cbrt.f64 (fma.f64 a (.f64 c -3) 0))) (.f64 (cbrt.f64 (.f64 -3 (.f64 c a))) (/.f64 1/3 a))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	0.8b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (.f64 (sqrt.f64 (/.f64 1/3 a)) (sqrt.f64 (/.f64 1/3 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	1.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/3 (.f64 -3 c))) (cbrt.f64 (.f64 1/3 (.f64 -3 c)))) (cbrt.f64 (.f64 1/3 (.f64 -3 c)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.5b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))) b))
	1.4b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (exp.f64 (log.f64 (/.f64 1/3 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))

Compiler

Compiled 4573 to 2875 computations (37.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))
✓	0.2b	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
✓	0.2b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.3b	(fma.f64 a (.f64 c -3) (.f64 b b))

series409.0ms (5.6%)

Counts

3 → 60

Calls

3 calls:

250.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
106.0ms	(sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))
52.0ms	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
15×	`distribute-lft-neg-in_binary64`

Counts

3 → 107

Calls

3 calls:

6.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
3.0ms	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
1.0ms	(sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))

simplify165.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-def_binary64`
278×	`div-sub_binary64`
247×	`associate-/l/_binary64`
187×	`cancel-sign-sub-inv_binary64`
166×	`distribute-rgt-neg-out_binary64`

Counts

167 → 223

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	4899
1	638	4739
2	2058	4559
3	4528	4553
4	4983	4553
5	4903	4553

prune217.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	240	7	247
Fresh	11	1	12
Picked	1	0	1
Done	0	0	0
Total	252	8	260

Error

Counts

260 → 8

Alt Table

Status	Error	Program
▶	0.3b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))) b))
	0.4b	(/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) c))
	1.0b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (fma.f64 c (.f64 a -3) (.f64 b b))))) b))
	0.4b	(.f64 (neg.f64 c) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b)))
	6.9b	(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	0.3b	(/.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) b))
	0.6b	(/.f64 (/.f64 (neg.f64 c) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))
	0.6b	(/.f64 (sqrt.f64 c) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (neg.f64 (sqrt.f64 c))))

Compiler

Compiled 6566 to 3567 computations (45.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))) b))
✓	0.2b	(fma.f64 c (.f64 a -3) (.f64 b b))
✓	0.5b	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))
✓	0.7b	(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3)

series610.0ms (8.3%)

Counts

4 → 128

Calls

4 calls:

557.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))) b))
33.0ms	(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3)
10.0ms	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))
10.0ms	(fma.f64 c (.f64 a -3) (.f64 b b))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
36×	`add-sqr-sqrt_binary64`
36×	`add-cube-cbrt_binary64`
15×	`distribute-lft-neg-in_binary64`

Counts

4 → 130

Calls

4 calls:

25.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))) b))
2.0ms	(pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3)
2.0ms	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))
0.0ms	(fma.f64 c (.f64 a -3) (.f64 b b))

simplify204.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

448×	`fma-def_binary64`
327×	`unswap-sqr_binary64`
209×	`fma-neg_binary64`
206×	`cancel-sign-sub-inv_binary64`
197×	`div-sub_binary64`

Counts

258 → 220

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	6270
1	584	5868
2	2005	5701
3	4305	5695
4	4971	5695
5	5001	5695

prune241.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	220	8	228

Error

Counts

228 → 8

Alt Table

Status	Error	Program
✓	0.3b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 3))) b))
	0.4b	(/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) c))
	1.0b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (fma.f64 c (.f64 a -3) (.f64 b b))))) b))
	0.4b	(.f64 (neg.f64 c) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b)))
	6.9b	(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	0.3b	(/.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) b))
	0.6b	(/.f64 (/.f64 (neg.f64 c) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))
	0.6b	(/.f64 (sqrt.f64 c) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (neg.f64 (sqrt.f64 c))))

Compiler

Compiled 6170 to 3440 computations (44.2% saved)

regimes2.3s (31.5%)

Accuracy

Total 0.3b remaining (94%)

Threshold costs 0.3b (94%)

Counts

315 → 1

Compiler

Compiled 44190 to 29383 computations (33.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	21	21
2	25	21
3	28	21
4	29	21
5	29	21

end1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

sample1.5s (19.9%)

Algorithm

1×

intervals

Results

538.0ms	7682×	body	128	valid
316.0ms	8931×	pre	128	true
62.0ms	931×	body	128	nan
41.0ms	318×	body	256	valid

Compiler

Compiled 272 to 184 computations (32.4% saved)

Details

analyze449.0ms (6.1%)

sample53.0ms (0.7%)

simplify352.0ms (4.8%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

series160.0ms (2.2%)

rewrite31.0ms (0.4%)

simplify105.0ms (1.4%)

prune174.0ms (2.4%)

localize14.0ms (0.2%)

series15.0ms (0.2%)

rewrite9.0ms (0.1%)

simplify96.0ms (1.3%)

prune173.0ms (2.4%)

localize9.0ms (0.1%)

series409.0ms (5.6%)

rewrite19.0ms (0.3%)

simplify165.0ms (2.2%)

prune217.0ms (3%)

localize12.0ms (0.2%)

series610.0ms (8.3%)

rewrite40.0ms (0.5%)

simplify204.0ms (2.8%)

prune241.0ms (3.3%)

regimes2.3s (31.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.5s (19.9%)

Profiling