Details

analyze670.0ms (11.8%)

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)

sample138.0ms (2.4%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
2.0ms	22×	body	128	nan
1.0ms	9×	body	128	invalid

Compiler

Compiled 86 to 56 computations (34.9% saved)

simplify157.0ms (2.8%)

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 (0.1%)

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

22.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	22.7b	(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 (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
✓	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	1.8b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	1.9b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	25.7b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

series174.0ms (3.1%)

Counts

4 → 96

Calls

4 calls:

64.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
53.0ms	(+.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)))
11.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 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)))
0.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-neg_binary64`
487×	`associate-/l*_binary64`
478×	`associate-/r*_binary64`
345×	`cancel-sign-sub-inv_binary64`
150×	`distribute-rgt-in_binary64`

Counts

181 → 187

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	4403
1	460	3612
2	1571	3474
3	4821	3474
4	5063	3474

prune397.0ms (7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	246	9	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	9	256

Error

6.1b

Counts

256 → 9

Alt Table

Status	Error	Program
	26.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	22.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (.f64 (fabs.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	26.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (cbrt.f64 (.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (+.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)))
	22.9b	(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)))
	22.9b	(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 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
	22.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (fma.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (cbrt.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)))
	25.8b	(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 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b)))
▶	18.8b	(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)))
	36.4b	(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 2) (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))

Compiler

Compiled 12065 to 7065 computations (41.4% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.2b	(/.f64 (.f64 c 2) (-.f64 (.f64 -1 b) b))
	1.8b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	25.7b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (*.f64 c 2) (-.f64 (*.f64 -1 b) b))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`*-un-lft-identity_binary64`
4×	`associate-/r*_binary64`
4×	`times-frac_binary64`

Counts

1 → 27

Calls

1 calls:

9.0ms

(/.f64 (*.f64 c 2) (-.f64 (*.f64 -1 b) b))

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
453×	`times-frac_binary64`
351×	`associate-/l*_binary64`
328×	`fma-neg_binary64`
255×	`div-sub_binary64`

Counts

51 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	617
1	180	484
2	594	401
3	2506	400
4	4436	400
5	4938	400
6	4893	400

prune318.0ms (5.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	158	7	165
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	161	13	174

Error

6.1b

Counts

174 → 13

Alt Table

Status	Error	Program
	26.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	22.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (.f64 (fabs.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	26.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (cbrt.f64 (.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (+.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)))
	22.9b	(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 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
▶	18.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 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 (.f64 (cbrt.f64 (.f64 b -2)) (cbrt.f64 (.f64 b -2)))) (/.f64 2 (cbrt.f64 (.f64 b -2)))))
	25.8b	(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 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 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 (cbrt.f64 (neg.f64 (/.f64 c b))) (cbrt.f64 (neg.f64 (/.f64 c b)))) (cbrt.f64 (neg.f64 (/.f64 c b)))))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	30.9b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a)) (cbrt.f64 (pow.f64 (neg.f64 (/.f64 c b)) 3)))
	32.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (exp.f64 (-.f64 (+.f64 (log.f64 c) (log.f64 2)) (log.f64 (-.f64 (.f64 -1 b) b)))))
	22.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (expm1.f64 (log1p.f64 (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))))
	36.4b	(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 2) (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))

Compiler

Compiled 6933 to 4390 computations (36.7% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
	0.2b	(/.f64 (.f64 c 2) (-.f64 (.f64 -1 b) b))
	25.7b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

series55.0ms (1%)

Counts

1 → 11

Calls

1 calls:

54.0ms

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

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
739×	`fma-neg_binary64`
399×	`distribute-rgt-neg-in_binary64`
395×	`distribute-lft-neg-in_binary64`
326×	`times-frac_binary64`

Counts

21 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	438
1	140	397
2	469	385
3	2358	385
4	4927	385
5	5392	385

prune283.0ms (5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	149	13	162

Error

6.1b

Counts

162 → 13

Alt Table

Status	Error	Program
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 b) b) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
▶	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	22.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	30.9b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a)) (cbrt.f64 (pow.f64 (neg.f64 (/.f64 c b)) 3)))
	26.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	22.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (.f64 (fabs.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) 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 (.f64 (cbrt.f64 (.f64 b -2)) (cbrt.f64 (.f64 b -2)))) (/.f64 2 (cbrt.f64 (.f64 b -2)))))
	25.8b	(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 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 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 (cbrt.f64 (neg.f64 (/.f64 c b))) (cbrt.f64 (neg.f64 (/.f64 c b)))) (cbrt.f64 (neg.f64 (/.f64 c b)))))
	32.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (exp.f64 (-.f64 (+.f64 (log.f64 c) (log.f64 2)) (log.f64 (-.f64 (.f64 -1 b) b)))))
	22.5b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)) (expm1.f64 (log1p.f64 (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))))
	22.9b	(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 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
	36.4b	(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 2) (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))

Compiler

Compiled 6471 to 3850 computations (40.5% saved)

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (.f64 c 2) (-.f64 (.f64 -1 b) b))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

prune83.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	51	12	63

Error

6.1b

Counts

63 → 12

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 (cbrt.f64 (neg.f64 (/.f64 c b))) (cbrt.f64 (neg.f64 (/.f64 c b)))) (cbrt.f64 (neg.f64 (/.f64 c b)))))
	32.7b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (exp.f64 (-.f64 (+.f64 (log.f64 c) (log.f64 2)) (log.f64 (-.f64 (.f64 -1 b) b)))))
	26.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	22.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b (.f64 (fabs.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) a)) (/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))
	22.9b	(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 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) b)))
	19.1b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (+.f64 b b) a)) (.f64 (*.f64 c 2) (/.f64 1/2 (neg.f64 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 (.f64 (cbrt.f64 (.f64 b -2)) (cbrt.f64 (.f64 b -2)))) (/.f64 2 (cbrt.f64 (.f64 b -2)))))
	25.8b	(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 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b)))
	36.4b	(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 2) (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	22.6b	(if (>=.f64 b 0) (*.f64 -1/2 (/.f64 (+.f64 b b) a)) (expm1.f64 (log1p.f64 (neg.f64 (/.f64 c b)))))
	19.0b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (fma.f64 (sqrt.f64 b) (sqrt.f64 b) b) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))
	22.8b	(if (>=.f64 b 0) (.f64 -1/2 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) 3)) a)) (/.f64 (.f64 c 2) (-.f64 (*.f64 -1 b) b)))

Compiler

Compiled 1675 to 996 computations (40.5% saved)

regimes952.0ms (16.8%)

Accuracy

Total 2.8b remaining (33.9%)

Threshold costs 0b (0%)

Counts

88 → 5

Compiler

Compiled 12982 to 8670 computations (33.2% saved)

bsearch5.0ms (0.1%)

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

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	477
1	85	465
2	110	465
3	131	465
4	145	465
5	151	465
6	152	465
7	151	465

end4.0ms (0.1%)

Compiler: Compiled 309 to 183 computations (40.8% saved)

sample2.1s (36.3%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
104.0ms	651×	body	128	nan
43.0ms	401×	body	128	invalid

Compiler

Compiled 802 to 510 computations (36.4% saved)

Details

analyze670.0ms (11.8%)

sample138.0ms (2.4%)

simplify157.0ms (2.8%)

prune4.0ms (0.1%)

localize20.0ms (0.3%)

series174.0ms (3.1%)

rewrite13.0ms (0.2%)

simplify115.0ms (2%)

prune397.0ms (7%)

localize22.0ms (0.4%)

series7.0ms (0.1%)

rewrite11.0ms (0.2%)

simplify75.0ms (1.3%)

prune318.0ms (5.6%)

localize22.0ms (0.4%)

series55.0ms (1%)

rewrite1.0ms (0%)

simplify51.0ms (0.9%)

prune283.0ms (5%)

localize17.0ms (0.3%)

prune83.0ms (1.5%)

regimes952.0ms (16.8%)

bsearch5.0ms (0.1%)

simplify16.0ms (0.3%)

end4.0ms (0.1%)

sample2.1s (36.3%)

Profiling