Details

analyze802.0ms (7.8%)

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
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)

sample53.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	164×	body	128	valid
12.0ms	36×	body	2048	valid
8.0ms	27×	body	1024	valid
6.0ms	15×	body	4096	valid
2.0ms	9×	body	512	valid
1.0ms	23×	body	128	nan
1.0ms	17×	body	128	invalid
1.0ms	5×	body	256	valid

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify149.0ms (1.4%)

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 → 1

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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

36.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	36.6b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))

Compiler

Compiled 54 to 36 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
1.2b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
24.0b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

rewrite196.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

36.4b

Rules

28×	`add-cube-cbrt_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`pow1_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 122

Calls

3 calls:

16.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
13.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
10.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

Compiler

Compiled 2590 to 1438 computations (44.5% saved)

series103.0ms (1%)

Error

6.1b

Counts

3 → 40

Calls

3 calls:

32.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
28.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
25.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))

Compiler

Compiled 1826 to 1301 computations (28.8% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-neg_binary64`
538×	`fma-def_binary64`
297×	`*-commutative_binary64`
263×	`associate-*l/_binary64`
229×	`associate-*r/_binary64`

Counts

162 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2684
1	428	2565
2	1615	2390
3	4468	2390
4	4960	2390

prune77.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	83	15	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	15	99

Error

9.3b

Counts

99 → 15

Alt Table

Status	Error	Program
	40.7b	(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (/.f64 a (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))
	39.5b	(.f64 -1/2 (/.f64 (+.f64 b (exp.f64 (.f64 1/2 (log.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) a))
	57.3b	(.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2) (.f64 a a))))
	44.9b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	53.1b	(.f64 -1/2 (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2) (.f64 a a))) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))))
	46.0b	(.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) (/.f64 b a)))
	47.1b	(.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 c (.f64 a -4)))))) a))
	45.0b	(.f64 -1/2 (/.f64 (.f64 b 2) a))
	35.6b	(.f64 -1/2 (/.f64 (+.f64 b (.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) a))
▶	34.1b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))))
	48.3b	(.f64 -1/2 (/.f64 (.f64 2 (fma.f64 a (/.f64 c b) (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3)))) a))
	46.0b	(.f64 -1/2 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a))
	57.1b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	36.1b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
	37.9b	(.f64 -1/2 (/.f64 (+.f64 b (.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)))))) a))

Compiler

Compiled 2362 to 1542 computations (34.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
0.1b	(/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
0.8b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
13.4b	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite191.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

44×	`add-cube-cbrt_binary64`
20×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`pow1_binary64`
18×	`add-sqr-sqrt_binary64`

Counts

4 → 179

Calls

4 calls:

14.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))
14.0ms	(/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
13.0ms	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
12.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))

Compiler

Compiled 3834 to 2657 computations (30.7% saved)

series233.0ms (2.3%)

Error

8.6b

Counts

4 → 47

Calls

4 calls:

88.0ms	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))
64.0ms	(/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))
52.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
11.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

Compiler

Compiled 3039 to 2307 computations (24.1% saved)

simplify751.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

580×	`fma-def_binary64`
275×	`cancel-sign-sub-inv_binary64`
267×	`fma-neg_binary64`
229×	`distribute-rgt-neg-in_binary64`
225×	`times-frac_binary64`

Counts

226 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	4235
1	617	3846
2	2664	3734
3	4856	3734
4	4957	3734

prune102.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	143	13	156

Error

5.7b

Counts

156 → 13

Alt Table

Status	Error	Program
	39.0b	(.f64 -1/2 (.f64 -1/2 (/.f64 (*.f64 c -4) b)))
	40.7b	(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (/.f64 a (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))
▶	34.1b	(.f64 -1/2 (/.f64 1 (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))))
	57.3b	(.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2) (.f64 a a))))
	44.9b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	35.8b	(.f64 -1/2 (+.f64 (/.f64 b a) (/.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a)))
	53.1b	(.f64 -1/2 (.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2) (.f64 a a))) (cbrt.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))))
	47.1b	(.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 c (.f64 a -4)))))) a))
	45.0b	(.f64 -1/2 (/.f64 (.f64 b 2) a))
	34.2b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))))))
	36.1b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
	38.8b	(.f64 -1/2 (/.f64 1 (fma.f64 -1/2 (/.f64 a b) (.f64 (/.f64 b (*.f64 c -4)) -2))))
	41.4b	(.f64 -1/2 (fma.f64 1/8 (.f64 (.f64 c -4) (/.f64 (.f64 -4 (.f64 c a)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 c -4) b))))

Compiler

Compiled 3157 to 2056 computations (34.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))))))
0.1b	(/.f64 1 (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))))))
0.8b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))
13.4b	(sqrt.f64 (.f64 -4 (.f64 c a)))

rewrite167.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

27×	`add-cube-cbrt_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
19×	`pow1_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 173

Calls

4 calls:

14.0ms	(.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))))))
14.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))
14.0ms	(/.f64 1 (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))))))
13.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))

Compiler

Compiled 3647 to 2448 computations (32.9% saved)

series230.0ms (2.2%)

Error

5.7b

Counts

4 → 47

Calls

4 calls:

92.0ms	(.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))))))
62.0ms	(/.f64 1 (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))))))
48.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))
11.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))

Compiler

Compiled 3131 to 2395 computations (23.5% saved)

simplify155.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def_binary64`
347×	`fma-neg_binary64`
251×	`unswap-sqr_binary64`
245×	`cancel-sign-sub-inv_binary64`
213×	`distribute-rgt-neg-in_binary64`

Counts

220 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3806
1	626	3412
2	2533	3298
3	4560	3298
4	4975	3298
5	4951	3298

prune67.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	113	13	126

Error

5.7b

Counts

126 → 13

Alt Table

Status	Error	Program
	39.0b	(.f64 -1/2 (.f64 -1/2 (/.f64 (*.f64 c -4) b)))
	40.7b	(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (/.f64 a (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))
✓	34.1b	(.f64 -1/2 (/.f64 1 (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))))
	57.3b	(.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2) (.f64 a a))))
	44.9b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	47.1b	(.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 c (.f64 a -4)))))) a))
	45.0b	(.f64 -1/2 (/.f64 (.f64 b 2) a))
	34.2b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))))))
	36.1b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
▶	34.2b	(.f64 -1/2 (/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))))))
	38.8b	(.f64 -1/2 (/.f64 1 (fma.f64 -1/2 (/.f64 a b) (.f64 (/.f64 b (*.f64 c -4)) -2))))
	41.4b	(.f64 -1/2 (fma.f64 1/8 (.f64 (.f64 c -4) (/.f64 (.f64 -4 (.f64 c a)) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (*.f64 c -4) b))))
	35.8b	(.f64 -1/2 (+.f64 (/.f64 b a) (/.f64 (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a)))) a)))

Compiler

Compiled 2331 to 1543 computations (33.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))
0.2b	(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))
0.8b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))
13.4b	(sqrt.f64 (.f64 -4 (.f64 c a)))

rewrite171.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

43×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
18×	`pow1_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`

Counts

4 → 178

Calls

4 calls:

14.0ms	(/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))
12.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))
12.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))
12.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))

Compiler

Compiled 4159 to 2793 computations (32.8% saved)

series215.0ms (2.1%)

Error

5.7b

Counts

4 → 47

Calls

4 calls:

79.0ms	(/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))
61.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))
46.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))
12.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))

Compiler

Compiled 3123 to 2423 computations (22.4% saved)

simplify168.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

565×	`fma-def_binary64`
382×	`fma-neg_binary64`
279×	`cancel-sign-sub-inv_binary64`
206×	`distribute-rgt-neg-in_binary64`
179×	`distribute-lft-neg-in_binary64`

Counts

225 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	4226
1	635	3791
2	2355	3701
3	4596	3699
4	4975	3699
5	4938	3699

prune62.0ms (0.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	109	12	121

Error

5.7b

Counts

121 → 12

Alt Table

Status	Error	Program
	38.8b	(.f64 -1/2 (/.f64 1 (fma.f64 -1/2 (/.f64 a b) (.f64 (/.f64 b (*.f64 c -4)) -2))))
	38.6b	(.f64 -1/2 (/.f64 (/.f64 1 a) (.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) -2)) (cbrt.f64 (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))))))))
	34.1b	(.f64 -1/2 (/.f64 1 (.f64 a (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))))
	57.3b	(.f64 -1/2 (sqrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 2) (.f64 a a))))
	44.9b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	47.1b	(.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 c (.f64 a -4)))))) a))
	45.0b	(.f64 -1/2 (/.f64 (.f64 b 2) a))
	34.2b	(.f64 -1/2 (/.f64 1 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (pow.f64 (.f64 -4 (.f64 c a)) 1/4) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))))))
	36.1b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
	34.2b	(.f64 -1/2 (/.f64 (/.f64 1 a) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 c a))))))))
	39.0b	(.f64 -1/2 (.f64 -1/2 (/.f64 (*.f64 c -4) b)))
	45.1b	(.f64 -1/2 (/.f64 (/.f64 1 a) (fma.f64 1/2 (/.f64 b (.f64 c a)) (/.f64 -1/2 b))))

Compiler

Compiled 2096 to 1370 computations (34.6% saved)

regimes4.5s (43.3%)

Accuracy

Total 4.6b remaining (43.9%)

Threshold costs 0b (0%)

Compiler

Compiled 21840 to 15714 computations (28% saved)

bsearch67.0ms (0.6%)

Steps

Iters	Range		Point
5	1.2365033221654932e+117	2.6329100592319567e+117	2.428003017385294e+117
9	-2.635497117562956e-25	-5.880552996320002e-31	-5.952904602593089e-31

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	58
1	46	56
2	62	56
3	75	56
4	81	56
5	83	56
6	82	56

end1.0ms (0%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

sample1.7s (16.8%)

Algorithm

1×

intervals

Results

362.0ms	5170×	body	128	valid
352.0ms	1094×	body	2048	valid
203.0ms	764×	body	1024	valid
170.0ms	433×	body	4096	valid
67.0ms	348×	body	512	valid
45.0ms	643×	body	128	nan
31.0ms	191×	body	256	valid
26.0ms	394×	body	128	invalid

Compiler

Compiled 321 to 233 computations (27.4% saved)

Details

analyze802.0ms (7.8%)

sample53.0ms (0.5%)

simplify149.0ms (1.4%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite196.0ms (1.9%)

series103.0ms (1%)

simplify108.0ms (1%)

prune77.0ms (0.7%)

localize11.0ms (0.1%)

rewrite191.0ms (1.9%)

series233.0ms (2.3%)

simplify751.0ms (7.3%)

prune102.0ms (1%)

localize12.0ms (0.1%)

rewrite167.0ms (1.6%)

series230.0ms (2.2%)

simplify155.0ms (1.5%)

prune67.0ms (0.7%)

localize13.0ms (0.1%)

rewrite171.0ms (1.7%)

series215.0ms (2.1%)

simplify168.0ms (1.6%)

prune62.0ms (0.6%)

regimes4.5s (43.3%)

bsearch67.0ms (0.6%)

simplify5.0ms (0%)

end1.0ms (0%)

sample1.7s (16.8%)

Profiling