Details

analyze727.0ms (3.6%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.7s (13.7%)

Results

779.0ms	5402×	body	128	valid
770.0ms	1131×	body	2048	valid
465.0ms	749×	body	1024	valid
289.0ms	419×	body	4096	valid
160.0ms	1134×	body	128	invalid
135.0ms	384×	body	512	valid
41.0ms	171×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify263.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1743×	`fma-neg_binary64`
1393×	`fma-def_binary64`
800×	`div-sub_binary64`
619×	`times-frac_binary64`
473×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	67	22
3	138	22
4	204	22
5	338	22
6	558	22
7	924	22
8	1388	22
9	1604	22
10	2375	22
11	2742	22
12	2533	22
13	2621	22
14	3171	22
15	3313	22
16	3873	22
17	3679	22
18	4029	22
19	4317	22
20	4485	22
21	4561	22
22	4805	22
23	4793	22
24	4797	22
25	4797	22
26	4948	22

prune4.0ms (0%)

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

33.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	33.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
▶	33.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	0.5b	(+.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))
✓	23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series247.0ms (1.2%)

Counts

4 → 96

Calls

4 calls:

139.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
52.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
44.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
12.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`fma-def_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`

Counts

4 → 90

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
7.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
3.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
334×	`cancel-sign-sub-inv_binary64`
215×	`distribute-rgt-neg-in_binary64`
159×	`associate-r_binary64`
150×	`distribute-rgt-neg-out_binary64`

Counts

186 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	4208
1	695	3858
2	2512	3724
3	4694	3704
4	5031	3704

prune176.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	192	15	207
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	194	15	209

Error

5.8b

Counts

209 → 15

Alt Table

Status	Error	Program
	34.7b	(/.f64 (+.f64 (neg.f64 b) (.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
▶	32.5b	(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2) a)
	58.0b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	48.9b	(/.f64 (+.f64 (pow.f64 (neg.f64 b) 3) (pow.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) 3)) (.f64 (fma.f64 b b (fma.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (fma.f64 (.f64 c a) -4 (.f64 b b)))) (*.f64 a 2)))
	38.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	43.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	40.1b	(neg.f64 (/.f64 c b))
	32.7b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	33.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (.f64 a 2))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (.f64 a 2)))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (*.f64 a 2))))
	33.9b	(/.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (.f64 2 a) (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))))
	43.0b	(/.f64 (neg.f64 b) a)
	33.8b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
	44.3b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	55.7b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	45.0b	(.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (*.f64 a 2))))

Compiler

Compiled 6089 to 3587 computations (41.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
✓	0.1b	(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2) a)
✓	0.3b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
✓	14.6b	(sqrt.f64 (.f64 c (.f64 a -4)))

series813.0ms (4.1%)

Counts

4 → 38

Calls

4 calls:

358.0ms	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
240.0ms	(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2) a)
195.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
19.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
94×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
19×	`associate-/l*_binary64`

Counts

4 → 151

Calls

4 calls:

7.0ms	(/.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2) a)
3.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))
0.0ms	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)

simplify166.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
381×	`cancel-sign-sub-inv_binary64`
290×	`div-sub_binary64`
277×	`fma-neg_binary64`
199×	`associate-/l/_binary64`

Counts

189 → 302

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	364	6362
1	878	5764
2	2842	5660
3	4705	5655
4	4981	5655

prune341.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	296	6	302
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	304	13	317

Error

3.4b

Counts

317 → 13

Alt Table

Status	Error	Program
	38.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	43.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	44.3b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	55.1b	(/.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2) b)) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 4) (pow.f64 b 3)))) 2) a)
	32.7b	(/.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 1) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2)))
	55.7b	(/.f64 (/.f64 (-.f64 b b) 2) a)
	48.6b	(/.f64 (/.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b) b) 2) a)
▶	32.6b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)))
	58.0b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	43.0b	(/.f64 (neg.f64 b) a)
	33.8b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
	40.1b	(neg.f64 (/.f64 c b))
	32.7b	(/.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)) (/.f64 a (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2))))

Compiler

Compiled 9313 to 5927 computations (36.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2))
✓	0.1b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)))
	0.3b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
	14.6b	(sqrt.f64 (.f64 c (.f64 a -4)))

series767.0ms (3.8%)

Counts

2 → 24

Calls

2 calls:

487.0ms	(/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2))
280.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)))

rewrite97.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

711×	`times-frac_binary64`
405×	`*-un-lft-identity_binary64`
405×	`add-sqr-sqrt_binary64`
309×	`add-cube-cbrt_binary64`
81×	`associate-/r*_binary64`

Counts

2 → 374

Calls

2 calls:

14.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)))
8.0ms	(/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2))

simplify398.0ms (2%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-def_binary64`
378×	`fma-neg_binary64`
358×	`associate-/r/_binary64`
231×	`*-commutative_binary64`
230×	`associate-*l/_binary64`

Counts

398 → 550

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	404	16997
1	949	15860
2	3151	15619
3	4701	15618
4	5259	15618

prune568.0ms (2.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	630	3	633
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	633	13	646

Error

3.4b

Counts

646 → 13

Alt Table

Status	Error	Program
	58.0b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	48.7b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -4 a))) b) b) 2)))
	38.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	43.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	32.7b	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2)))
	53.4b	(/.f64 1 (+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b)))
	48.6b	(/.f64 (/.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b) b) 2) a)
✓	32.6b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)))
	43.0b	(/.f64 (neg.f64 b) a)
	33.8b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
	44.3b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	40.1b	(neg.f64 (/.f64 c b))
▶	32.7b	(/.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)) (/.f64 a (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2))))

Compiler

Compiled 22016 to 14590 computations (33.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)))
✓	0.2b	(/.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)) (/.f64 a (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2))))
	0.3b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
	14.6b	(sqrt.f64 (.f64 c (.f64 a -4)))

series975.0ms (4.9%)

Counts

2 → 16

Calls

2 calls:

673.0ms

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

302.0ms

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

rewrite915.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Rules

5321×	`times-frac_binary64`
2874×	`*-un-lft-identity_binary64`
2874×	`add-sqr-sqrt_binary64`
2755×	`sqrt-prod_binary64`
2004×	`add-cube-cbrt_binary64`

Counts

2 → 1779

Calls

2 calls:

44.0ms

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

7.0ms

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

simplify2.6s (13.1%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-/r/_binary64`
341×	`associate-l_binary64`
148×	`times-frac_binary64`
144×	`associate-/r*_binary64`
85×	`associate-/l*_binary64`

Counts

1795 → 2264

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2041	161462
1	4190	153858
2	5144	153858

prune3.3s (16.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	2428	2	2430
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	2430	13	2443

Error

3.4b

Counts

2443 → 13

Alt Table

Status	Error	Program
	58.0b	(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) a))))
	48.7b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -4 a))) b) b) 2)))
	38.8b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	43.2b	(-.f64 (/.f64 c b) (/.f64 b a))
	33.8b	(/.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (cbrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (.f64 2 a))
	45.6b	(/.f64 (.f64 1/2 (sqrt.f64 (.f64 -4 (*.f64 c a)))) a)
	32.7b	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b)) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2)))
	53.4b	(/.f64 1 (+.f64 (.f64 4 (/.f64 (.f64 a b) (pow.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) 2))) (/.f64 a b)))
✓	32.6b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)))
	43.4b	(.f64 -2 (/.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) b) a))
	44.3b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	40.1b	(neg.f64 (/.f64 c b))
✓	32.7b	(/.f64 (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2)) (/.f64 a (sqrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 2))))

Compiler

Compiled 149180 to 100759 computations (32.5% saved)

regimes4.3s (21.7%)

Accuracy

Total 8.0b remaining (73%)

Threshold costs 0b (0%)

Counts

202 → 3

Compiler

Compiled 20368 to 14438 computations (29.1% saved)

bsearch83.0ms (0.4%)

Steps

Iters	Range		Point
7	5.1687252273785265e-5	0.002726813496141908	5.23670361696971e-5
8	-1.6803055480330083e+93	-6.19986526326508e+88	-7.493097946325258e+92

Compiler

Compiled 4 to 3 computations (25% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
9×	`*-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	54
1	44	52
2	69	52
3	81	52
4	87	52
5	88	52
6	87	52

end206.0ms (1%)

Compiler: Compiled 353 to 240 computations (32% saved)

Details

analyze727.0ms (3.6%)

sample2.7s (13.7%)

simplify263.0ms (1.3%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series247.0ms (1.2%)

rewrite28.0ms (0.1%)

simplify123.0ms (0.6%)

prune176.0ms (0.9%)

localize10.0ms (0.1%)

series813.0ms (4.1%)

rewrite28.0ms (0.1%)

simplify166.0ms (0.8%)

prune341.0ms (1.7%)

localize14.0ms (0.1%)

series767.0ms (3.8%)

rewrite97.0ms (0.5%)

simplify398.0ms (2%)

prune568.0ms (2.8%)

localize12.0ms (0.1%)

series975.0ms (4.9%)

rewrite915.0ms (4.6%)

simplify2.6s (13.1%)

prune3.3s (16.6%)

regimes4.3s (21.7%)

bsearch83.0ms (0.4%)

simplify17.0ms (0.1%)

end206.0ms (1%)

Profiling