Details

analyze739.0ms (9.1%)

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
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample1.9s (23%)

Results

1.6s	8256×	body	128	valid
184.0ms	1074×	body	128	invalid

Compiler

Compiled 125 to 80 computations (36% saved)

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1753×	`fma-neg_binary64`
1288×	`fma-def_binary64`
631×	`div-sub_binary64`
512×	`times-frac_binary64`
430×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	47	52
2	118	52
3	269	50
4	429	50
5	743	50
6	1315	50
7	1738	50
8	2176	50
9	2853	50
10	4066	50
11	3523	50
12	3575	50
13	3543	50
14	3557	50
15	4510	50
16	4622	50
17	4761	50

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

18.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	18.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))

Compiler

Compiled 149 to 91 computations (38.9% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
✓	1.0b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	1.7b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	20.8b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series442.0ms (5.5%)

Counts

4 → 80

Calls

4 calls:

282.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
59.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
55.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
45.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

rewrite88.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

150× egg-rr

Counts

4 → 150

Calls

2 calls:

84.0ms

((sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) (/.f64 (*.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	305	67
2	3927	67
3	4942	67
0	0	0
1	0	0

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

877×	`times-frac_binary64`
531×	`associate-/l*_binary64`
483×	`fma-neg_binary64`
465×	`fma-def_binary64`
157×	`cancel-sign-sub-inv_binary64`

Counts

230 → 238

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2371
1	415	2318
2	1370	2194
3	4797	2194
4	5096	2194

prune408.0ms (5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	273	10	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	10	284

Error

4.5b

Counts

284 → 10

Alt Table

Status	Error	Program
▶	18.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
	18.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (cbrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 3))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	21.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 c (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) 2)) (/.f64 2 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
	19.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	26.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 2))

Compiler

Compiled 13160 to 7718 computations (41.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 c 2)) -1)
	1.0b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	1.7b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
	20.8b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series267.0ms (3.3%)

Counts

1 → 20

Calls

1 calls:

267.0ms

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

rewrite67.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

54× egg-rr

Counts

1 → 54

Calls

2 calls:

66.0ms	((pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 c 2)) -1))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	322	22
2	4009	22
3	4918	22
0	0	0
1	0	0

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-neg_binary64`
473×	`times-frac_binary64`
442×	`unswap-sqr_binary64`
287×	`associate-/l*_binary64`
233×	`associate-/r*_binary64`

Counts

74 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	575
1	209	556
2	669	520
3	3674	515
4	5134	515

prune521.0ms (6.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	290	2	292
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	291	11	302

Error

4.5b

Counts

302 → 11

Alt Table

Status	Error	Program
✓	18.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
	18.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (cbrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 3))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	21.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
	19.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	26.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 2))
▶	18.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (.f64 c 2) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	20.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (neg.f64 b) b) (.f64 c 2)) -1))

Compiler

Compiled 14024 to 8420 computations (40% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 c 2) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	1.0b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	1.7b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
	20.8b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series262.0ms (3.2%)

Counts

1 → 20

Calls

1 calls:

262.0ms

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

rewrite59.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

28× egg-rr

Counts

1 → 28

Calls

2 calls:

58.0ms	((.f64 (.f64 c 2) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	314	22
2	3611	22
3	4889	22
0	0	0
1	0	0

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-neg_binary64`
473×	`times-frac_binary64`
442×	`unswap-sqr_binary64`
287×	`associate-/l*_binary64`
233×	`associate-/r*_binary64`

Counts

48 → 51

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	575
1	209	556
2	669	520
3	3674	515
4	5134	515

prune479.0ms (5.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	266	11	277

Error

4.5b

Counts

277 → 11

Alt Table

Status	Error	Program
✓	18.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
▶	18.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (cbrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 3))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	21.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
	19.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	26.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 2))
✓	18.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (.f64 c 2) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	20.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (neg.f64 b) b) (.f64 c 2)) -1))

Compiler

Compiled 12720 to 7655 computations (39.8% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.7b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	12.0b	(+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))
	20.8b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	21.3b	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series105.0ms (1.3%)

Counts

2 → 56

Calls

2 calls:

53.0ms	(pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4)
51.0ms	(+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2))

rewrite59.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

54× egg-rr

Counts

2 → 54

Calls

2 calls:

57.0ms	((pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	281	30
2	2958	30
3	5062	30
0	0	0
1	0	0

simplify107.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
253×	`distribute-neg-frac_binary64`
169×	`times-frac_binary64`
166×	`sub-neg_binary64`

Counts

110 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2523
1	726	2467
2	2724	2431
3	4993	2431

prune772.0ms (9.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	243	2	245
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	243	13	256

Error

2.7b

Counts

256 → 13

Alt Table

Status	Error	Program
✓	18.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 c 2)) -1))
✓	18.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (cbrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 3))
	18.4b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	21.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	31.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
	19.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	36.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	35.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	26.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (sqrt.f64 (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) 2))
✓	18.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (.f64 c 2) (/.f64 1 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	20.2b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (pow.f64 (/.f64 (-.f64 (neg.f64 b) b) (.f64 c 2)) -1))

Compiler

Compiled 12946 to 8065 computations (37.7% saved)

regimes1.0s (12.4%)

Accuracy

Total 3.4b remaining (50%)

Threshold costs 0b (0%)

Counts

61 → 3

Compiler

Compiled 10522 to 6734 computations (36% saved)

bsearch36.0ms (0.5%)

Steps

Iters	Range		Point
5	2.1665003818594198e+121	7.477859093117982e+121	5.545049901184398e+121
2	-6.23817191079231e+155	-5.018533530183444e+152	-2.9527445303397572e+153

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	148
1	67	146
2	90	146
3	109	146
4	122	146
5	128	146
6	129	146
7	128	146

end369.0ms (4.6%)

Compiler: Compiled 707 to 457 computations (35.4% saved)

Details

analyze739.0ms (9.1%)

sample1.9s (23%)

simplify155.0ms (1.9%)

prune5.0ms (0.1%)

localize22.0ms (0.3%)

series442.0ms (5.5%)

rewrite88.0ms (1.1%)

simplify85.0ms (1%)

prune408.0ms (5%)

localize21.0ms (0.3%)

series267.0ms (3.3%)

rewrite67.0ms (0.8%)

simplify48.0ms (0.6%)

prune521.0ms (6.4%)

localize29.0ms (0.4%)

series262.0ms (3.2%)

rewrite59.0ms (0.7%)

simplify48.0ms (0.6%)

prune479.0ms (5.9%)

localize25.0ms (0.3%)

series105.0ms (1.3%)

rewrite59.0ms (0.7%)

simplify107.0ms (1.3%)

prune772.0ms (9.5%)

regimes1.0s (12.4%)

bsearch36.0ms (0.5%)

simplify7.0ms (0.1%)

end369.0ms (4.6%)

Profiling