Details

analyze360.0ms (6.3%)

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)

sample2.3s (40.6%)

Results

1.1s	3909×	body	256	valid
585.0ms	1478×	body	512	valid
434.0ms	2869×	body	128	valid
128.0ms	885×	body	128	invalid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify347.0ms (6.1%)

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

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

53.1b

Counts

3 → 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 111 to 74 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)
✓	27.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

series106.0ms (1.9%)

Counts

4 → 100

Calls

4 calls:

55.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
34.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
7.0ms	(.f64 (.f64 3 a) c)

rewrite101.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

725×	`fma-def_binary64`
366×	`fma-neg_binary64`
288×	`egg-rr`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Counts

4 → 288

Calls

4 calls:

94.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
94.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
94.0ms	(.f64 (.f64 3 a) c)
94.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	297	56
2	3769	56
3	5480	56
0	0	0
1	0	0

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
459×	`associate-/l*_binary64`
396×	`associate-/r*_binary64`
333×	`fma-def_binary64`
308×	`fma-neg_binary64`

Counts

388 → 341

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1940
1	368	1868
2	1240	1839
3	4908	1833
4	5068	1833

prune204.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	336	5	341
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	337	6	343

Error

0.2b

Counts

343 → 6

Alt Table

Status	Error	Program
	1.7b	(/.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 3 a))
	2.2b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -27/16 (.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8))) (*.f64 3 a))
	52.1b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
	52.7b	(/.f64 (/.f64 (-.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b))))) (.f64 3 a))
▶	1.3b	(fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
✓	53.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 10235 to 5598 computations (45.3% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series204.0ms (3.6%)

Counts

4 → 120

Calls

4 calls:

92.0ms	(/.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))
18.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
13.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite79.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

311×	`log1p-udef_binary64`
181×	`add-sqr-sqrt_binary64`
180×	`log1p-expm1-u_binary64`
180×	`expm1-log1p-u_binary64`
173×	`add-cbrt-cube_binary64`

Counts

4 → 124

Calls

4 calls:

76.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
76.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
76.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
76.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	397	52
2	4535	52
3	5081	52
0	0	0
1	0	0

simplify145.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

818×	`associate-/l*_binary64`
441×	`associate-/r*_binary64`
413×	`associate-l_binary64`
371×	`associate-r_binary64`
353×	`sqr-pow_binary64`

Counts

244 → 130

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	1632
1	52	1632
2	165	1632
3	705	1632
4	3868	1632
5	3945	1632
6	4120	1632
7	4416	1632
8	4685	1632
9	4997	1632
10	4873	1632

prune201.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	130	6	136

Error

0.2b

Counts

136 → 6

Alt Table

Status	Error	Program
▶	1.7b	(/.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 3 a))
	2.2b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -27/16 (.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8))) (*.f64 3 a))
	52.1b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
	52.7b	(/.f64 (/.f64 (-.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b))))) (.f64 3 a))
✓	1.3b	(fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
✓	53.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 6302 to 3918 computations (37.8% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series157.0ms (2.7%)

Counts

4 → 96

Calls

4 calls:

65.0ms	(/.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 (.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 3 a))
65.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
16.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
10.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite46.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

356×	`log1p-expm1-u_binary64`
356×	`expm1-log1p-u_binary64`
343×	`add-cbrt-cube_binary64`
340×	`add-log-exp_binary64`
339×	`add-exp-log_binary64`

Counts

4 → 64

Calls

4 calls:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	93
1	775	93
2	5239	93
0	0	0
1	0	0

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

953×	`fma-neg_binary64`
399×	`distribute-rgt-neg-in_binary64`
323×	`unswap-sqr_binary64`
280×	`times-frac_binary64`
262×	`distribute-neg-frac_binary64`

Counts

160 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	2262
1	155	2262
2	543	2208
3	2733	2208
4	4814	2208
5	4997	2208

prune121.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	79	8	87

Error

0.2b

Counts

87 → 8

Alt Table

Status	Error	Program
✓	1.3b	(fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	22.1b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (log.f64 (exp.f64 (pow.f64 (.f64 c a) 2))) (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 3 a))
	47.0b	(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 a 3))))
▶	1.7b	(pow.f64 (/.f64 (.f64 a 3) (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7))))))) -1)
	2.2b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -27/16 (.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8))) (*.f64 3 a))
	52.1b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
	52.7b	(/.f64 (/.f64 (-.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b))))) (.f64 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 4446 to 2909 computations (34.6% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
✓	0.4b	(pow.f64 (*.f64 c a) 2)
✓	0.6b	(pow.f64 (*.f64 c a) 3)
✓	0.8b	(pow.f64 (*.f64 c a) 4)

series99.0ms (1.7%)

Counts

4 → 108

Calls

4 calls:

65.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
14.0ms	(pow.f64 (*.f64 c a) 4)
13.0ms	(pow.f64 (*.f64 c a) 3)
7.0ms	(pow.f64 (*.f64 c a) 2)

rewrite94.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
210×	`prod-diff_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
192×	`log-pow_binary64`

Counts

4 → 137

Calls

4 calls:

92.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
92.0ms	(pow.f64 (*.f64 c a) 2)
92.0ms	(pow.f64 (*.f64 c a) 3)
92.0ms	(pow.f64 (*.f64 c a) 4)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	282	34
2	2854	34
3	4950	34
4	5190	34
0	0	0
1	0	0

simplify106.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1459×	`associate-*l/_binary64`
620×	`times-frac_binary64`
460×	`associate-/l*_binary64`
320×	`unswap-sqr_binary64`
299×	`sqr-pow_binary64`

Counts

245 → 139

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	1296
1	49	1296
2	155	1296
3	677	1296
4	2717	1152
5	2782	1152
6	2901	972
7	3067	972
8	3219	972
9	3404	972
10	5474	972

prune202.0ms (3.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	139	8	147

Error

0.2b

Counts

147 → 8

Alt Table

Status	Error	Program
✓	1.3b	(fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	22.1b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (log.f64 (exp.f64 (pow.f64 (.f64 c a) 2))) (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 3 a))
	47.0b	(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7)))))) (*.f64 a 3))))
✓	1.7b	(pow.f64 (/.f64 (.f64 a 3) (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 405/128 (/.f64 (pow.f64 (*.f64 c a) 4) (pow.f64 b 7))))))) -1)
	2.2b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -27/16 (.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8))) (*.f64 3 a))
	52.1b	(/.f64 (fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)))) (*.f64 3 a))
	52.7b	(/.f64 (/.f64 (-.f64 (fma.f64 -3 (.f64 a c) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 -3 (.f64 a c) (.f64 b b))))) (.f64 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 7545 to 4634 computations (38.6% saved)

regimes332.0ms (5.8%)

Accuracy

Total 1.3b remaining (86.5%)

Threshold costs 0b (0%)

Counts

41 → 1

Compiler

Compiled 7306 to 5131 computations (29.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	61
1	36	61
2	36	61

end225.0ms (4%)

Compiler: Compiled 402 to 274 computations (31.8% saved)

Details

analyze360.0ms (6.3%)

sample2.3s (40.6%)

simplify347.0ms (6.1%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series106.0ms (1.9%)

rewrite101.0ms (1.8%)

simplify76.0ms (1.3%)

prune204.0ms (3.6%)

localize23.0ms (0.4%)

series204.0ms (3.6%)

rewrite79.0ms (1.4%)

simplify145.0ms (2.6%)

prune201.0ms (3.5%)

localize28.0ms (0.5%)

series157.0ms (2.7%)

rewrite46.0ms (0.8%)

simplify86.0ms (1.5%)

prune121.0ms (2.1%)

localize26.0ms (0.4%)

series99.0ms (1.7%)

rewrite94.0ms (1.7%)

simplify106.0ms (1.9%)

prune202.0ms (3.5%)

regimes332.0ms (5.8%)

simplify3.0ms (0%)

end225.0ms (4%)

Profiling