Details

analyze648.0ms (7.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.3s (26.3%)

Results

735.0ms	5368×	body	128	valid
610.0ms	1158×	body	2048	valid
341.0ms	782×	body	1024	valid
240.0ms	398×	body	4096	valid
135.0ms	1057×	body	128	invalid
120.0ms	371×	body	512	valid
41.0ms	179×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify380.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

2009×	`fma-neg_binary64`
1508×	`div-sub_binary64`
1334×	`associate-/l*_binary64`
1156×	`fma-def_binary64`
685×	`associate-/l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	64	22
3	132	22
4	198	22
5	325	22
6	552	22
7	918	22
8	1352	22
9	1554	22
10	2359	22
11	3158	22
12	2565	22
13	2653	22
14	3219	22
15	3361	22
16	3461	22
17	3985	22
18	4171	22
19	4439	22
20	4659	22
21	4701	22
22	4757	22
23	4941	22
24	4941	22
25	3365	22
26	3059	22
27	2983	22
28	2985	22
29	2997	22
30	2997	22
31	2997	22
32	2997	22
33	2736	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

32.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
▶	32.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 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	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
✓	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	22.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series139.0ms (1.6%)

Counts

4 → 96

Calls

4 calls:

58.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
38.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
33.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
10.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

rewrite134.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

507×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
180×	`egg-rr`
166×	`add-sqr-sqrt_binary64`

Counts

4 → 180

Calls

4 calls:

129.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
129.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
129.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
129.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	338	62
2	4153	62
3	4979	62
4	5349	62
0	0	0
1	0	0

simplify81.0ms (0.9%)

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

276 → 253

Iterations

Useful iterations: 2 (0.0ms)

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

prune225.0ms (2.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	241	12	253
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	242	13	255

Error

7.8b

Counts

255 → 13

Alt Table

Status	Error	Program
	47.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	41.9b	(neg.f64 (/.f64 c b))
	57.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	44.9b	(.f64 (cbrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 2))
	42.9b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (.f64 2 a))
	47.7b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	58.8b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 3) (pow.f64 (*.f64 a 2) 3)))
	44.7b	(pow.f64 (/.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) -1)
▶	32.4b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 2 a))
	44.8b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) 2))
	46.9b	(/.f64 (neg.f64 b) a)
	32.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a))

Compiler

Compiled 6850 to 3934 computations (42.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 2 a))
✓	0.8b	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
✓	1.0b	(fma.f64 b b (.f64 (.f64 a c) -4))
✓	22.0b	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

series139.0ms (1.6%)

Counts

4 → 96

Calls

4 calls:

59.0ms	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 2 a))
38.0ms	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
32.0ms	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))
9.0ms	(fma.f64 b b (.f64 (.f64 a c) -4))

rewrite94.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

304×	`prod-diff_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`
218×	`log-pow_binary64`
139×	`add-sqr-sqrt_binary64`

Counts

4 → 124

Calls

4 calls:

92.0ms	(/.f64 (fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) (*.f64 2 a))
91.0ms	(fma.f64 -1 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))
91.0ms	(fma.f64 b b (.f64 (.f64 a c) -4))
91.0ms	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	284	61
2	3317	61
3	4989	61
4	5036	61
0	0	0
1	0	0

simplify77.0ms (0.9%)

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

220 → 197

Iterations

Useful iterations: 2 (0.0ms)

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

prune162.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	193	4	197
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	195	15	210

Error

7.8b

Counts

210 → 15

Alt Table

Status	Error	Program
	47.2b	(-.f64 (/.f64 c b) (/.f64 b a))
▶	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	46.9b	(/.f64 (neg.f64 b) a)
	34.8b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 3)
	32.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 4 (.f64 a c)))) (pow.f64 (cbrt.f64 (.f64 4 (.f64 a c))) 2) (.f64 4 (.f64 a c)))))) (*.f64 2 a))
	55.5b	(pow.f64 (pow.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
	41.9b	(neg.f64 (/.f64 c b))
	57.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	47.7b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	58.8b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 3) (pow.f64 (*.f64 a 2) 3)))
	44.8b	(.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) a) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) 2))
	42.9b	(/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 (.f64 a c) -4)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4))))) (.f64 2 a))
	36.2b	(/.f64 (exp.f64 (log.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (*.f64 2 a))
	34.4b	(/.f64 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (*.f64 2 a))
	44.7b	(pow.f64 (/.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) -4))))) -1)

Compiler

Compiled 5088 to 3204 computations (37% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(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))
✓	0.8b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	22.0b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series142.0ms (1.6%)

Counts

4 → 96

Calls

4 calls:

61.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
39.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
32.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
9.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite76.0ms (0.9%)

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:

72.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))
72.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
72.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
72.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 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

simplify89.0ms (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

265 → 242

Iterations

Useful iterations: 2 (0.0ms)

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

prune189.0ms (2.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	237	5	242
Fresh	5	9	14
Picked	0	1	1
Done	0	0	0
Total	242	15	257

Error

7.8b

Counts

257 → 15

Alt Table

Status	Error	Program
	47.2b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	46.9b	(/.f64 (neg.f64 b) a)
▶	32.9b	(.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (/.f64 1/2 a))
	34.8b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 3)
	34.4b	(/.f64 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (*.f64 2 a))
	47.0b	(.f64 (.f64 -2 b) (/.f64 1/2 a))
	47.7b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	58.8b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 3) (pow.f64 (*.f64 a 2) 3)))
	42.8b	(.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (/.f64 1/2 a))
	57.8b	(*.f64 (-.f64 b b) (/.f64 1/2 a))
	55.5b	(pow.f64 (pow.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
	41.9b	(neg.f64 (/.f64 c b))
	33.5b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) 3)) b) (/.f64 1/2 a))
	36.2b	(/.f64 (exp.f64 (log.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (*.f64 2 a))

Compiler

Compiled 6696 to 3935 computations (41.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)
✓	0.4b	(cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	0.8b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
	22.0b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series502.0ms (5.7%)

Counts

2 → 40

Calls

2 calls:

306.0ms	(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)
195.0ms	(cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))

rewrite67.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

772×	`prod-diff_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
129×	`add-sqr-sqrt_binary64`
125×	`log1p-expm1-u_binary64`

Counts

2 → 45

Calls

2 calls:

66.0ms	(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)
66.0ms	(cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	269	39
2	2956	39
3	4893	39
0	0	0
1	0	0

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
436×	`unswap-sqr_binary64`
340×	`associate-r_binary64`
205×	`associate-l_binary64`
196×	`associate-/l*_binary64`

Counts

85 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3058
1	921	2963
2	3128	2852
3	4948	2852

prune484.0ms (5.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	470	3	473
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	471	17	488

Error

7.8b

Counts

488 → 17

Alt Table

Status	Error	Program
	47.2b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	32.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	33.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))) 2)) 2)) (/.f64 1/2 a))
	46.9b	(/.f64 (neg.f64 b) a)
	34.8b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a))) 3)
	41.9b	(neg.f64 (/.f64 c b))
	63.3b	(.f64 (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 c) (log.f64 (neg.f64 (.f64 2 (/.f64 a b))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (/.f64 1/2 a))
	62.7b	(.f64 (.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 a) (log.f64 (neg.f64 (.f64 2 (/.f64 c b))))))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (/.f64 1/2 a))
	36.2b	(/.f64 (exp.f64 (log.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))))) (*.f64 2 a))
	34.4b	(/.f64 (fma.f64 -1 b (hypot.f64 b (sqrt.f64 (.f64 (.f64 a c) -4)))) (*.f64 2 a))
	47.0b	(.f64 (.f64 -2 b) (/.f64 1/2 a))
	47.7b	(/.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 a))
	58.8b	(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) -4)))) 3) (pow.f64 (*.f64 a 2) 3)))
	42.8b	(.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (/.f64 1/2 a))
	57.8b	(*.f64 (-.f64 b b) (/.f64 1/2 a))
	55.5b	(pow.f64 (pow.f64 (.f64 (fma.f64 b -1 (hypot.f64 b (sqrt.f64 (.f64 (*.f64 a c) -4)))) (/.f64 1/2 a)) 3) 1/3)
	33.5b	(.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) 3)) b) (/.f64 1/2 a))

Compiler

Compiled 23340 to 14512 computations (37.8% saved)

regimes2.4s (26.9%)

Accuracy

Total 5.4b remaining (48.3%)

Threshold costs 0b (0%)

Counts

174 → 5

Compiler

Compiled 16948 to 11594 computations (31.6% saved)

bsearch144.0ms (1.6%)

Steps

Iters	Range		Point
6	7758348156414654.0	84868465007906420.0	7879913229977634.0
8	3.6074659835156905e-31	1.445236840868564e-28	3.1907078857048223e-29
5	4.6056050611389345e-128	1.148885698724784e-127	1.130866333133747e-127
9	-4.010773231342898e+109	-2.797478118531418e+101	-4.825734430233833e+108

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
15×	`*-commutative_binary64`
14×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	132
1	72	130
2	94	128
3	119	128
4	139	128
5	146	128
6	149	128
7	150	128
8	145	128

end237.0ms (2.7%)

Compiler: Compiled 533 to 344 computations (35.5% saved)

Iter	Nodes	Cost
0	46	132
1	72	130
2	94	128
3	119	128
4	139	128
5	146	128
6	149	128
7	150	128
8	145	128

Iter	Nodes	Cost
0	46	132
1	72	130
2	94	128
3	119	128
4	139	128
5	146	128
6	149	128
7	150	128
8	145	128

Details

analyze648.0ms (7.3%)

sample2.3s (26.3%)

simplify380.0ms (4.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series139.0ms (1.6%)

rewrite134.0ms (1.5%)

simplify81.0ms (0.9%)

prune225.0ms (2.5%)

localize12.0ms (0.1%)

series139.0ms (1.6%)

rewrite94.0ms (1.1%)

simplify77.0ms (0.9%)

prune162.0ms (1.8%)

localize9.0ms (0.1%)

series142.0ms (1.6%)

rewrite76.0ms (0.9%)

simplify89.0ms (1%)

prune189.0ms (2.1%)

localize12.0ms (0.1%)

series502.0ms (5.7%)

rewrite67.0ms (0.8%)

simplify75.0ms (0.9%)

prune484.0ms (5.5%)

regimes2.4s (26.9%)

bsearch144.0ms (1.6%)

simplify7.0ms (0.1%)

end237.0ms (2.7%)

Profiling

Iter	Nodes	Cost
0	46	132
1	72	130
2	94	128
3	119	128
4	139	128
5	146	128
6	149	128
7	150	128
8	145	128