Details

analyze786.0ms (10.7%)

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)

sample45.0ms (0.6%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
3.0ms	16×	body	128	invalid
2.0ms	18×	body	128	nan

Compiler

Compiled 86 to 56 computations (34.9% saved)

simplify163.0ms (2.2%)

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 (0.1%)

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

18.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	18.9b	(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)

localize20.0ms (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))))
✓	1.2b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
	21.9b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	21.9b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
16×	`sqrt-prod_binary64`

Counts

3 → 75

Calls

3 calls:

4.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
3.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
1.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series140.0ms (1.9%)

Counts

3 → 60

Calls

3 calls:

49.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
48.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
42.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

simplify182.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-neg_binary64`
487×	`associate-/l*_binary64`
466×	`associate-/r*_binary64`
331×	`cancel-sign-sub-inv_binary64`
128×	`distribute-rgt-in_binary64`

Counts

135 → 243

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	3838
1	449	3124
2	1526	2988
3	4571	2988
4	4978	2988
5	4987	2988
6	4875	2988

prune307.0ms (4.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	295	7	302
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	296	7	303

Error

3.6b

Counts

303 → 7

Alt Table

Status	Error	Program
	19.0b	(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 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))
▶	18.9b	(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 -2 b)))
	19.1b	(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 (fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b)) 0)))
	20.5b	(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 (.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) b)))
	30.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	20.6b	(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)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (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 9823 to 5723 computations (41.7% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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))))
	21.9b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/l*_binary64`

Counts

1 → 35

Calls

1 calls:

5.0ms

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

series69.0ms (0.9%)

Counts

1 → 20

Calls

1 calls:

69.0ms

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

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

411×	`times-frac_binary64`
390×	`unswap-sqr_binary64`
384×	`fma-neg_binary64`
293×	`associate-/l*_binary64`
285×	`associate-r_binary64`

Counts

55 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1633
1	326	1543
2	945	1470
3	4083	1470
4	5217	1470

prune277.0ms (3.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	286	5	291
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	289	9	298

Error

3.6b

Counts

298 → 9

Alt Table

Status	Error	Program
▶	19.0b	(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 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))
	19.0b	(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 -2 b)))
	19.1b	(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 (fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b)) 0)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (/.f64 (.f64 c 2) (*.f64 -2 b)))
	20.5b	(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 (.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) b)))
	19.1b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) 1) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) a))) (/.f64 (.f64 c 2) (.f64 -2 b)))
	30.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	20.7b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b)))) (/.f64 (.f64 c 2) (.f64 -2 b)))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 2 (/.f64 b a))) (/.f64 (.f64 c 2) (.f64 -2 b)))

Compiler

Compiled 6797 to 4339 computations (36.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	18.8b	(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))
	21.9b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
	21.9b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
	21.9b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series106.0ms (1.4%)

Counts

1 → 36

Calls

1 calls:

106.0ms

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

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
468×	`fma-neg_binary64`
313×	`cancel-sign-sub-inv_binary64`
222×	`unswap-sqr_binary64`
173×	`sub-neg_binary64`

Counts

46 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2126
1	623	2006
2	2520	1864
3	4761	1864
4	5085	1864

prune414.0ms (5.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1736	3	1739
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	1737	11	1748

Error

1.5b

Counts

1748 → 11

Alt Table

Status	Error	Program
▶	19.0b	(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 -2 b)))
	36.5b	(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 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) b)))
	30.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	28.0b	(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 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 3))) (neg.f64 b))))
✓	19.0b	(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 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))
	19.1b	(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 (fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b)) 0)))
	35.2b	(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 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) b)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (/.f64 (.f64 c 2) (*.f64 -2 b)))
	19.1b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) 1) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) a))) (/.f64 (.f64 c 2) (.f64 -2 b)))
	20.7b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b)))) (/.f64 (.f64 c 2) (.f64 -2 b)))
	20.6b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 2 (/.f64 b a))) (/.f64 (.f64 c 2) (.f64 -2 b)))

Compiler

Compiled 12561 to 7619 computations (39.3% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (/.f64 1 a))
	0.7b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	21.9b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
11×	`times-frac_binary64`
10×	`add-exp-log_binary64`

Counts

1 → 43

Calls

1 calls:

11.0ms

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

series66.0ms (0.9%)

Counts

1 → 20

Calls

1 calls:

66.0ms

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

simplify106.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

460×	`times-frac_binary64`
408×	`associate-l_binary64`
317×	`unswap-sqr_binary64`
311×	`associate-/l*_binary64`
305×	`fma-def_binary64`

Counts

63 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1718
1	370	1571
2	1178	1497
3	4445	1497
4	5276	1497

prune317.0ms (4.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	2142	1	2143
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	2143	11	2154

Error

1.5b

Counts

2154 → 11

Alt Table

Status	Error	Program
	20.7b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 (.f64 2 b) (/.f64 1 a))) (/.f64 (.f64 c 2) (*.f64 -2 b)))
✓	19.0b	(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 -2 b)))
	36.5b	(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 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (.f64 4 a)) (log.f64 (/.f64 -1 c))))) 2) b)))
	30.6b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c -4) (.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	28.0b	(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 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (.f64 a (.f64 c -4)))) 3))) (neg.f64 b))))
✓	19.0b	(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 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b))))
	19.1b	(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 (fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (neg.f64 b)) 0)))
	35.2b	(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 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (.f64 4 a))) (log.f64 (/.f64 1 c))))) 2) b)))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))))) (/.f64 (.f64 c 2) (*.f64 -2 b)))
	19.1b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) 1) (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) a))) (/.f64 (.f64 c 2) (.f64 -2 b)))
	20.7b	(if (>=.f64 b 0) (.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b)))) (/.f64 (.f64 c 2) (.f64 -2 b)))

Compiler

Compiled 7213 to 4723 computations (34.5% saved)

regimes2.3s (31.1%)

Accuracy

Total 5.4b remaining (62.7%)

Threshold costs 0b (0%)

Compiler

Compiled 25466 to 17230 computations (32.3% saved)

bsearch11.0ms (0.1%)

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
16×	`+-commutative_binary64`
13×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	488
1	97	478
2	122	478
3	139	478
4	150	478
5	155	478
6	156	478
7	155	478

end4.0ms (0.1%)

Compiler: Compiled 320 to 197 computations (38.4% saved)

sample1.7s (23.6%)

Algorithm

1×

intervals

Results

941.0ms	8000×	body	128	valid
76.0ms	683×	body	128	nan
46.0ms	429×	body	128	invalid

Compiler

Compiled 805 to 525 computations (34.8% saved)

Details

analyze786.0ms (10.7%)

sample45.0ms (0.6%)

simplify163.0ms (2.2%)

prune4.0ms (0.1%)

localize20.0ms (0.3%)

rewrite16.0ms (0.2%)

series140.0ms (1.9%)

simplify182.0ms (2.5%)

prune307.0ms (4.2%)

localize20.0ms (0.3%)

rewrite7.0ms (0.1%)

series69.0ms (0.9%)

simplify80.0ms (1.1%)

prune277.0ms (3.8%)

localize23.0ms (0.3%)

rewrite1.0ms (0%)

series106.0ms (1.4%)

simplify104.0ms (1.4%)

prune414.0ms (5.6%)

localize20.0ms (0.3%)

rewrite14.0ms (0.2%)

series66.0ms (0.9%)

simplify106.0ms (1.5%)

prune317.0ms (4.3%)

regimes2.3s (31.1%)

bsearch11.0ms (0.1%)

simplify18.0ms (0.2%)

end4.0ms (0.1%)

sample1.7s (23.6%)

Profiling