Details

analyze730.0ms (8.5%)

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)

sample1.8s (21.3%)

Results

1.5s	8256×	body	128	valid
191.0ms	1084×	body	128	invalid

Compiler

Compiled 125 to 80 computations (36% saved)

simplify154.0ms (1.8%)

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

prune4.0ms (0%)

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

19.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	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 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))

Compiler

Compiled 149 to 91 computations (38.9% saved)

localize25.0ms (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))
✓	0.7b	(+.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)
✓	23.6b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series245.0ms (2.9%)

Counts

4 → 80

Calls

4 calls:

153.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
33.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
32.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
27.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

rewrite86.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

286×	`fma-neg_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`
153×	`add-sqr-sqrt_binary64`
150×	`egg-rr`

Counts

4 → 150

Calls

4 calls:

82.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
82.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
82.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
82.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

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

simplify89.0ms (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

prune380.0ms (4.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	277	6	283
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	6	284

Error

4.4b

Counts

284 → 6

Alt Table

Status	Error	Program
	19.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	34.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.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))))))
	30.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.5b	(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)))
	21.3b	(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)))
▶	19.3b	(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) (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))

Compiler

Compiled 12864 to 7510 computations (41.6% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	17.3b	(fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))
	23.6b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	24.4b	(cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series127.0ms (1.5%)

Counts

2 → 72

Calls

2 calls:

85.0ms	(fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))
42.0ms	(cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

rewrite83.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

635×	`fma-def_binary64`
501×	`log-prod_binary64`
394×	`prod-diff_binary64`
237×	`fma-udef_binary64`
195×	`expm1-udef_binary64`

Counts

2 → 75

Calls

2 calls:

81.0ms	(fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))
81.0ms	(cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	255	29
2	2529	28
3	4808	28
4	5176	28
0	0	0
1	0	0

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

397×	`times-frac_binary64`
287×	`associate-/r*_binary64`
271×	`associate-/l*_binary64`
257×	`associate-r_binary64`
218×	`fma-neg_binary64`

Counts

147 → 180

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	4725
1	1113	3758
2	4749	3718
3	4978	3718

prune560.0ms (6.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	324	2	326
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	324	8	332

Error

2.3b

Counts

332 → 8

Alt Table

Status	Error	Program
	35.7b	(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 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (neg.f64 (*.f64 4 c))) (log.f64 (/.f64 1 a)))))) b)))
	21.3b	(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)))
▶	19.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	34.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.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))))))
	30.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.5b	(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)))
	35.6b	(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 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (*.f64 4 c)) (log.f64 (/.f64 -1 a)))))) b)))
✓	19.3b	(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) (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))

Compiler

Compiled 19907 to 12161 computations (38.9% saved)

localize22.0ms (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)
✓	22.3b	(fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) b)
	23.6b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
	24.4b	(cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series77.0ms (0.9%)

Counts

1 → 36

Calls

1 calls:

76.0ms

(fma.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) b)

rewrite98.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

562×	`fma-def_binary64`
487×	`log-prod_binary64`
290×	`prod-diff_binary64`
191×	`expm1-udef_binary64`
191×	`log1p-udef_binary64`

Counts

1 → 32

Calls

1 calls:

97.0ms

(fma.f64 (cbrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) b)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	232	16
2	2445	15
3	4860	15
4	4918	15
5	5268	15
0	0	0
1	0	0

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary64`
610×	`cancel-sign-sub-inv_binary64`
288×	`times-frac_binary64`
239×	`distribute-neg-frac_binary64`
187×	`associate-/l*_binary64`

Counts

68 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2621
1	661	1604
2	2956	1578
3	5265	1578

prune612.0ms (7.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	317	2	319
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	317	10	327

Error

0.7b

Counts

327 → 10

Alt Table

Status	Error	Program
	35.7b	(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 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (neg.f64 (*.f64 4 c))) (log.f64 (/.f64 1 a)))))) b)))
	21.3b	(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)))
	33.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
✓	19.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	34.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.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))))))
	30.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
▶	19.5b	(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)))
	35.6b	(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 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (*.f64 4 c)) (log.f64 (/.f64 -1 a)))))) b)))
✓	19.3b	(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) (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))
	34.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))

Compiler

Compiled 19645 to 12119 computations (38.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.1b	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
	0.7b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	23.6b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series159.0ms (1.9%)

Counts

2 → 56

Calls

2 calls:

150.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
9.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite109.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

963×	`prod-diff_binary64`
209×	`log1p-udef_binary64`
118×	`add-sqr-sqrt_binary64`
113×	`log1p-expm1-u_binary64`
113×	`expm1-log1p-u_binary64`

Counts

2 → 61

Calls

2 calls:

107.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))
107.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	235	30
2	2944	30
3	5021	30
0	0	0
1	0	0

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

383×	`distribute-rgt-neg-in_binary64`
371×	`times-frac_binary64`
351×	`unswap-sqr_binary64`
314×	`distribute-neg-frac_binary64`
299×	`fma-neg_binary64`

Counts

117 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	969
1	200	903
2	639	877
3	3221	877
4	5156	877

prune418.0ms (4.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	2	5	7
Picked	1	0	1
Done	1	1	2
Total	190	11	201

Error

0.7b

Counts

201 → 11

Alt Table

Status	Error	Program
	33.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a)))))) b) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.9b	(if (>=.f64 b 0) (.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) 3)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	34.3b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (.f64 (/.f64 (.f64 c 2) (-.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))))))
	19.9b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 a)))) (/.f64 (.f64 c 2) (-.f64 (.f64 -1 b) b)))
	34.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	19.6b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 1 a))) (/.f64 (.f64 c 2) (-.f64 (.f64 -1 b) b)))
	30.4b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 a)))) (/.f64 (.f64 c 2) (-.f64 (.f64 -1 b) b)))
	21.6b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 2 (/.f64 b a))) (/.f64 (.f64 c 2) (-.f64 (.f64 -1 b) b)))
	35.6b	(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 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) (exp.f64 (.f64 1/6 (-.f64 (log.f64 (*.f64 4 c)) (log.f64 (/.f64 -1 a)))))) b)))
	35.7b	(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 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 (.f64 4 c))) (log.f64 (/.f64 1 a))))) (exp.f64 (.f64 1/3 (-.f64 (log.f64 (neg.f64 (*.f64 4 c))) (log.f64 (/.f64 1 a)))))) b)))
✓	19.3b	(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) (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))

Compiler

Compiled 7495 to 4753 computations (36.6% saved)

regimes2.1s (24.6%)

Accuracy

Total 6.0b remaining (86.5%)

Threshold costs 0b (0%)

Counts

144 → 5

Compiler

Compiled 24662 to 15994 computations (35.1% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 41 to 26 computations (36.6% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`*-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	61	461
1	84	453
2	108	453
3	127	453
4	140	453
5	146	453
6	147	453
7	145	453

end359.0ms (4.2%)

Compiler: Compiled 1086 to 697 computations (35.8% saved)

Details

analyze730.0ms (8.5%)

sample1.8s (21.3%)

simplify154.0ms (1.8%)

prune4.0ms (0%)

localize25.0ms (0.3%)

series245.0ms (2.9%)

rewrite86.0ms (1%)

simplify89.0ms (1%)

prune380.0ms (4.4%)

localize28.0ms (0.3%)

series127.0ms (1.5%)

rewrite83.0ms (1%)

simplify97.0ms (1.1%)

prune560.0ms (6.6%)

localize22.0ms (0.3%)

series77.0ms (0.9%)

rewrite98.0ms (1.2%)

simplify65.0ms (0.8%)

prune612.0ms (7.2%)

localize20.0ms (0.2%)

series159.0ms (1.9%)

rewrite109.0ms (1.3%)

simplify49.0ms (0.6%)

prune418.0ms (4.9%)

regimes2.1s (24.6%)

bsearch8.0ms (0.1%)

simplify16.0ms (0.2%)

end359.0ms (4.2%)

Profiling