Details

analyze630.0ms (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
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)

sample210.0ms (2.3%)

Algorithm

1×

intervals

Results

14.0ms	38×	body	2048	valid
12.0ms	167×	body	128	valid
8.0ms	30×	body	1024	valid
3.0ms	7×	body	4096	valid
2.0ms	4×	body	256	valid
2.0ms	31×	body	128	nan
2.0ms	10×	body	512	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2079×	`fma-neg_binary64`
1006×	`fma-def_binary64`
919×	`div-sub_binary64`
626×	`distribute-rgt-in_binary64`
435×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	95	24
3	227	22
4	357	22
5	614	22
6	1103	22
7	1373	22
8	1636	22
9	2330	22
10	3187	22
11	2880	22
12	2827	22
13	2896	22
14	2922	22
15	3797	22
16	4824	22
17	5240	22

prune3.0ms (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

33.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	33.8b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))

Compiler

Compiled 71 to 46 computations (35.2% saved)

localize10.0ms (0.1%)

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)
✓	0.9b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	21.3b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series176.0ms (2%)

Counts

4 → 96

Calls

4 calls:

72.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
51.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
43.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 77

Calls

4 calls:

5.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
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))

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

834×	`times-frac_binary64`
539×	`associate-/l*_binary64`
468×	`fma-def_binary64`
198×	`cancel-sign-sub-inv_binary64`
125×	`associate-/r/_binary64`

Counts

173 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3876
1	521	3658
2	1578	3494
3	5011	3494

prune165.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	178	15	193
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	15	194

Error

6.0b

Counts

194 → 15

Alt Table

Status	Error	Program
▶	33.5b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 3)) (+.f64 (.f64 b b) (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b 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))
	46.0b	(.f64 -1/2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 2 (/.f64 c b))))
	34.0b	(.f64 -1/2 (.f64 (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a)))
	46.5b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	46.3b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	34.2b	(.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (/.f64 a (sqrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))))
	45.9b	(.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))
	34.1b	(.f64 -1/2 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a))) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))))
	44.3b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	58.2b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	35.7b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
	40.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	33.9b	(.f64 -1/2 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (/.f64 1 a)))
	50.3b	(.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a) 3)))

Compiler

Compiled 5599 to 3401 computations (39.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)
✓	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
✓	15.2b	(sqrt.f64 (.f64 c (.f64 a -4)))

series360.0ms (4%)

Counts

3 → 28

Calls

3 calls:

195.0ms	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)
145.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
19.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
9×	`pow1_binary64`

Counts

3 → 66

Calls

3 calls:

4.0ms	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))
3.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

772×	`associate-/l*_binary64`
616×	`associate-/r*_binary64`
518×	`fma-def_binary64`
202×	`associate-*l/_binary64`
194×	`associate-*r/_binary64`

Counts

94 → 145

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	2413
1	443	2262
2	1321	2203
3	4679	2195
4	4937	2195

prune128.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	7	7	14
Picked	0	1	1
Done	0	0	0
Total	148	12	160

Error

3.5b

Counts

160 → 12

Alt Table

Status	Error	Program
✓	33.5b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 3)) (+.f64 (.f64 b b) (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b 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))
	46.4b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) a))
	46.0b	(.f64 -1/2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 2 (/.f64 c b))))
	46.5b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	46.3b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	33.7b	(.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
	45.9b	(.f64 -1/2 (/.f64 (-.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))))
	44.3b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	40.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	50.8b	(.f64 -1/2 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 3)) (.f64 a (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) b))))))
▶	33.6b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 1 a)))

Compiler

Compiled 4383 to 2789 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) (/.f64 1 a))
	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	15.2b	(sqrt.f64 (.f64 c (.f64 a -4)))

series192.0ms (2.1%)

Counts

1 → 14

Calls

1 calls:

192.0ms

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

rewrite10.0ms (0.1%)

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:

7.0ms

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64`
350×	`associate-r_binary64`
343×	`associate-l_binary64`
326×	`associate-/l*_binary64`
267×	`associate-/r*_binary64`

Counts

57 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1680
1	369	1510
2	1097	1477
3	4475	1469
4	5016	1469

prune138.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	1	9	10
Picked	0	1	1
Done	1	0	1
Total	158	13	171

Error

3.5b

Counts

171 → 13

Alt Table

Status	Error	Program
	46.4b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -4 a))))) (/.f64 1 a)))
	44.3b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	44.3b	(.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 b b) (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 1 a)) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 3)) (+.f64 (.f64 b b) (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b 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))
	46.4b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) a))
	46.0b	(.f64 -1/2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 2 (/.f64 c b))))
	46.5b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	46.3b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	40.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
▶	33.7b	(.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
	50.8b	(.f64 -1/2 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 3)) (.f64 a (fma.f64 b b (.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))) (-.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) b))))))
✓	33.6b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 1 a)))
	34.0b	(.f64 -1/2 (.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (/.f64 1 a)))) (cbrt.f64 (/.f64 1 a))))

Compiler

Compiled 4966 to 3306 computations (33.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
✓	0.2b	(/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	15.2b	(sqrt.f64 (.f64 c (.f64 a -4)))

series871.0ms (9.7%)

Counts

2 → 20

Calls

2 calls:

682.0ms

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

189.0ms

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

rewrite101.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

378×	`times-frac_binary64`
298×	`*-un-lft-identity_binary64`
224×	`sqrt-prod_binary64`
186×	`add-sqr-sqrt_binary64`
186×	`add-cube-cbrt_binary64`

Counts

2 → 289

Calls

2 calls:

12.0ms

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

5.0ms

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

simplify524.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

567×	`*-commutative_binary64`
309×	`fma-def_binary64`
291×	`cancel-sign-sub-inv_binary64`
288×	`fma-neg_binary64`
254×	`associate-/r/_binary64`

Counts

309 → 332

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	344	19942
1	776	17678
2	2448	16205
3	3639	15683
4	4735	15620
5	4994	15620
6	4941	15620

prune485.0ms (5.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	468	2	470
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	470	13	483

Error

3.5b

Counts

483 → 13

Alt Table

Status	Error	Program
	46.4b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 -4 a))))) (/.f64 1 a)))
	44.3b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))
	46.4b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) a))
	46.0b	(.f64 -1/2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (.f64 2 (/.f64 c b))))
	46.5b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	46.3b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	33.7b	(.f64 -1/2 (/.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a) (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
	43.0b	(.f64 -1/2 (/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 3)) (+.f64 (.f64 b b) (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b 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))
	33.8b	(.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (/.f64 a (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))) (sqrt.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))))
	40.1b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
✓	33.7b	(.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 a (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))))))
✓	33.6b	(.f64 -1/2 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 1 a)))
	34.0b	(.f64 -1/2 (.f64 (.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (/.f64 1 a)))) (cbrt.f64 (/.f64 1 a))))

Compiler

Compiled 21368 to 13931 computations (34.8% saved)

regimes2.6s (29.2%)

Accuracy

Total 7.0b remaining (69.5%)

Threshold costs 0b (0%)

Counts

186 → 3

Compiler

Compiled 22712 to 15562 computations (31.5% saved)

bsearch63.0ms (0.7%)

Steps

Iters	Range		Point
8	1.7977825413686115e+118	3.0988818249618163e+122	6.227978761178603e+119
6	-5.189941244246102e-81	-1.036445997455712e-81	-2.7264665693110204e-81

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	58
1	47	58
2	60	58
3	79	58
4	91	58
5	99	58
6	102	58
7	101	58

end1.0ms (0%)

Compiler: Compiled 42 to 29 computations (31% saved)

sample1.8s (20.6%)

Algorithm

1×

intervals

Results

394.0ms	1118×	body	2048	valid
392.0ms	5267×	body	128	valid
197.0ms	699×	body	1024	valid
162.0ms	395×	body	4096	valid
69.0ms	339×	body	512	valid
43.0ms	641×	body	128	nan
30.0ms	391×	body	128	invalid
24.0ms	182×	body	256	valid

Compiler

Compiled 402 to 280 computations (30.3% saved)

Details

analyze630.0ms (7%)

sample210.0ms (2.3%)

simplify141.0ms (1.6%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series176.0ms (2%)

rewrite13.0ms (0.1%)

simplify81.0ms (0.9%)

prune165.0ms (1.8%)

localize9.0ms (0.1%)

series360.0ms (4%)

rewrite13.0ms (0.1%)

simplify83.0ms (0.9%)

prune128.0ms (1.4%)

localize10.0ms (0.1%)

series192.0ms (2.1%)

rewrite10.0ms (0.1%)

simplify72.0ms (0.8%)

prune138.0ms (1.5%)

localize11.0ms (0.1%)

series871.0ms (9.7%)

rewrite101.0ms (1.1%)

simplify524.0ms (5.8%)

prune485.0ms (5.4%)

regimes2.6s (29.2%)

bsearch63.0ms (0.7%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.8s (20.6%)

Profiling