Details

analyze946.0ms (10.4%)

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
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.2s (24.6%)

Results

1.9s	8256×	body	128	valid
272.0ms	1009×	body	128	invalid

Compiler

Compiled 125 to 80 computations (36% saved)

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def_binary64`
782×	`fma-neg_binary64`
748×	`distribute-rgt-in_binary64`
560×	`div-sub_binary64`
469×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	94	52
3	211	50
4	341	50
5	594	50
6	1082	50
7	1702	50
8	2066	50
9	2870	50
10	3495	50
11	3501	50
12	3503	50
13	4196	50
14	4249	50
15	4881	50

prune5.0ms (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

18.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	18.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
▶	18.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Status

Error

Program

18.6b

(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)))

▶

18.5b

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 231 to 143 computations (38.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.9b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.5b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	21.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series104.0ms (1.1%)

Counts

4 → 96

Calls

4 calls:

35.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
32.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
28.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

rewrite106.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

785×	`fma-def_binary64`
416×	`fma-neg_binary64`
371×	`egg-rr`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Counts

4 → 371

Calls

4 calls:

97.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
97.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
97.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
97.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	296	56
2	3584	56
3	5331	56
0	0	0
1	0	0

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
447×	`unswap-sqr_binary64`
295×	`fma-def_binary64`
283×	`associate-r_binary64`
278×	`associate-/l*_binary64`

Counts

467 → 429

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	2213
1	293	2123
2	918	2035
3	4407	2035
4	5258	2035

prune921.0ms (10.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	656	5	661
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	657	6	663

Error

5.1b

Counts

663 → 6

Alt Table

Status	Error	Program
	34.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 (.f64 a -4) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	18.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	18.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
▶	16.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	18.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2)) (*.f64 2 a)))

Compiler

Compiled 34991 to 19082 computations (45.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	0.9b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	21.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series131.0ms (1.4%)

Counts

1 → 20

Calls

1 calls:

131.0ms

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

rewrite68.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`
167×	`add-sqr-sqrt_binary64`
163×	`log1p-expm1-u_binary64`
163×	`expm1-log1p-u_binary64`

Counts

1 → 46

Calls

1 calls:

66.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	338	22
2	4205	22
3	4888	22
0	0	0
1	0	0

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-neg_binary64`
473×	`times-frac_binary64`
442×	`unswap-sqr_binary64`
288×	`associate-/l*_binary64`
232×	`associate-/r*_binary64`

Counts

66 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	659
1	218	639
2	682	598
3	3651	597
4	5374	597

prune496.0ms (5.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	414	2	416
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	417	5	422

Error

5.1b

Counts

422 → 5

Alt Table

Status	Error	Program
	18.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	31.9b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 c a))))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	18.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	18.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2)) (*.f64 2 a)))

Compiler

Compiled 18966 to 10744 computations (43.4% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	13.6b	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))
	21.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	22.0b	(pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4)

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series76.0ms (0.8%)

Counts

2 → 56

Calls

2 calls:

42.0ms	(pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4)
34.0ms	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))

rewrite67.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
297×	`fma-def_binary64`
227×	`expm1-udef_binary64`
227×	`log1p-udef_binary64`
201×	`log-pow_binary64`

Counts

2 → 92

Calls

2 calls:

65.0ms	(+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))
65.0ms	(pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	304	30
2	3042	29
3	5330	29
0	0	0
1	0	0

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-def_binary64`
504×	`cancel-sign-sub-inv_binary64`
252×	`distribute-neg-frac_binary64`
172×	`sub-neg_binary64`
169×	`times-frac_binary64`

Counts

148 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2638
1	747	2580
2	2808	2540
3	5113	2540

prune463.0ms (5.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	330	2	332
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	330	7	337

Error

3.2b

Counts

337 → 7

Alt Table

Status	Error	Program
▶	18.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	31.9b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 c a))))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	30.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 2 a)))
	30.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (*.f64 2 a)))
	20.2b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	18.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	18.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2)) (*.f64 2 a)))

Compiler

Compiled 18240 to 10460 computations (42.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	0.9b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	1.5b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	21.4b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1536 to 1280 computations (16.7% saved)

series153.0ms (1.7%)

Counts

4 → 80

Calls

4 calls:

55.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
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))))
31.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

rewrite174.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

279×	`fma-neg_binary64`
270×	`expm1-udef_binary64`
270×	`log1p-udef_binary64`
153×	`add-sqr-sqrt_binary64`
151×	`egg-rr`

Counts

4 → 151

Calls

4 calls:

170.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
170.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
170.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
170.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	306	67
2	3858	67
3	4992	67
4	4886	67
0	0	0
1	0	0

simplify192.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

728×	`times-frac_binary64`
467×	`associate-/l*_binary64`
457×	`fma-neg_binary64`
450×	`fma-def_binary64`
410×	`associate-/r*_binary64`

Counts

231 → 239

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	2408
1	417	2371
2	1376	2259
3	4998	2259
4	5268	2259

prune461.0ms (5.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	280	5	285
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	281	11	292

Error

3.1b

Counts

292 → 11

Alt Table

Status	Error	Program
	18.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -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)))) b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	22.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	30.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2)) (*.f64 2 a)))
	18.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (/.f64 1 (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) 1/2))))
	20.2b	(if (>=.f64 b 0) (.f64 -1 (/.f64 c b)) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	19.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b) (/.f64 1/2 a)))
	16.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))))) (-.f64 (/.f64 c b) (/.f64 b a)))
	31.9b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 -4 (.f64 c a))))) c))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	30.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 c)) (log.f64 (/.f64 -1 a))))) 2)) (*.f64 2 a)))
	18.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	18.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 -4 (.f64 a c) (.f64 b b)) 1/4) 2)) (*.f64 2 a)))

Compiler

Compiled 12834 to 7461 computations (41.9% saved)

regimes1.7s (18.9%)

Accuracy

Total 3.4b remaining (51.3%)

Threshold costs 0b (0%)

Counts

160 → 3

Compiler

Compiled 23798 to 16214 computations (31.9% saved)

bsearch48.0ms (0.5%)

Steps

Iters	Range		Point
1	1.699385128456844e+88	1.0481892262499455e+89	4.319858194081708e+88
9	-2.2526124737551977e+79	-2.704264732560753e+74	-4.240979175972827e+78

Compiler

Compiled 4 to 3 computations (25% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
17×	`*-commutative_binary64`
14×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	134
1	67	130
2	97	130
3	119	130
4	134	130
5	140	130
6	141	130
7	140	130

end290.0ms (3.2%)

Compiler: Compiled 595 to 385 computations (35.3% saved)

Details

analyze946.0ms (10.4%)

sample2.2s (24.6%)

simplify130.0ms (1.4%)

prune5.0ms (0.1%)

localize18.0ms (0.2%)

series104.0ms (1.1%)

rewrite106.0ms (1.2%)

simplify97.0ms (1.1%)

prune921.0ms (10.1%)

localize19.0ms (0.2%)

series131.0ms (1.4%)

rewrite68.0ms (0.7%)

simplify48.0ms (0.5%)

prune496.0ms (5.4%)

localize26.0ms (0.3%)

series76.0ms (0.8%)

rewrite67.0ms (0.7%)

simplify69.0ms (0.8%)

prune463.0ms (5.1%)

localize17.0ms (0.2%)

series153.0ms (1.7%)

rewrite174.0ms (1.9%)

simplify192.0ms (2.1%)

prune461.0ms (5.1%)

regimes1.7s (18.9%)

bsearch48.0ms (0.5%)

simplify16.0ms (0.2%)

end290.0ms (3.2%)

Profiling