Details

analyze2.9s (15.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	98.2%	1.8%	8
0%	94.3%	5.7%	9
0.4%	93%	6.6%	10
7.4%	83.3%	9.3%	11
12.4%	75.2%	12.4%	12
14.4%	68.9%	16.7%	13
16.8%	65.4%	17.8%	14

Compiler

Compiled 45 to 33 computations (26.7% saved)

sample149.0ms (0.8%)

Algorithm

1×

intervals

Results

22.0ms	167×	body	128	valid
18.0ms	26×	body	2048	valid
18.0ms	33×	body	1024	valid
17.0ms	92×	body	128	nan
14.0ms	25×	body	1024	nan
11.0ms	15×	body	2048	nan
8.0ms	20×	body	512	valid
5.0ms	12×	body	512	nan
3.0ms	10×	body	256	valid
2.0ms	9×	body	256	nan

Compiler

Compiled 93 to 69 computations (25.8% saved)

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-+l+_binary64`
560×	`associate-l_binary64`
528×	`associate-r_binary64`
455×	`distribute-rgt-in_binary64`
449×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	66	61
2	195	61
3	674	61
4	2578	61
5	5617	61

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

53.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	53.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))

Status

Error

Program

▶

53.2b

(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (*.f64 (*.f64 4 A) C)))

Compiler

Compiled 132 to 91 computations (31.1% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.4b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
13.6b	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
20.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
35.3b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite863.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

49.8b

Rules

66×	`sqrt-div_binary64`
40×	`associate-*r/_binary64`
39×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`

Counts

4 → 158

Calls

4 calls:

27.0ms	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
17.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
13.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
11.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

Compiler

Compiled 11279 to 7235 computations (35.9% saved)

series1.9s (10.4%)

Error

28.0b

Counts

4 → 76

Calls

4 calls:

1.1s	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
465.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
98.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
82.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 17991 to 13158 computations (26.9% saved)

simplify331.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

431×	`times-frac_binary64`
312×	`*-commutative_binary64`
309×	`distribute-rgt-in_binary64`
302×	`distribute-lft-in_binary64`
136×	`associate-r_binary64`

Counts

234 → 206

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	797	15674
1	2283	15176
2	4951	15176
3	4969	15176

prune373.0ms (2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	188	18	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	18	207

Error

27.5b

Counts

207 → 18

Alt Table

Status	Error	Program
	61.0b	(/.f64 (neg.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 C (.f64 B (sqrt.f64 2)))))) (+.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) B)) (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (sqrt.f64 2) (.f64 C (.f64 B A)))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
▶	44.8b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))))
	63.4b	(/.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 A (sqrt.f64 (.f64 -8 (.f64 C F))))) (/.f64 (.f64 (.f64 B B) (.f64 F (sqrt.f64 2))) (sqrt.f64 (.f64 -8 (.f64 C F)))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	60.7b	(-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) (pow.f64 B 3)) (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (sqrt.f64 2)) B))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) (pow.f64 B 3)) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))))))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B)))
	47.2b	(/.f64 (neg.f64 (+.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8)))) (/.f64 (.f64 (.f64 B B) (.f64 F (sqrt.f64 2))) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	59.4b	(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))
	58.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) F) (.f64 C A)))) (sqrt.f64 2)))
	46.9b	(/.f64 (neg.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	58.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -4 (.f64 C (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) (.f64 A F))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	63.1b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C)))))
	53.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (-.f64 (+.f64 C (.f64 1/2 (/.f64 (.f64 B B) C))) A))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	50.2b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))
	50.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (neg.f64 C))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	50.4b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (.f64 (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (*.f64 C A) 4)))))
	53.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4)))) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))

Compiler

Compiled 14084 to 7313 computations (48.1% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 -1/2 (/.f64 F A))
0.5b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
15.3b	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

rewrite115.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

Rules

23×	`add-sqr-sqrt_binary64`
17×	`associate-r_binary64`
15×	`pow1_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`

Counts

3 → 72

Calls

3 calls:

9.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
7.0ms	(*.f64 -1/2 (/.f64 F A))
4.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 1066 to 739 computations (30.7% saved)

series54.0ms (0.3%)

Error

27.5b

Counts

3 → 18

Calls

3 calls:

19.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
17.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))
16.0ms	(*.f64 -1/2 (/.f64 F A))

Compiler

Compiled 660 to 562 computations (14.8% saved)

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-*r/_binary64`
353×	`associate-l_binary64`
288×	`associate-/r/_binary64`
284×	`associate-/l/_binary64`
276×	`associate-r_binary64`

Counts

90 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1103
1	280	1045
2	764	1045
3	1840	1045
4	3476	1045
5	3920	1045
6	4879	1045
7	4960	1045

prune84.0ms (0.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	36	24	60

Error

27.4b

Counts

60 → 24

Alt Table

Status	Error	Program
	61.0b	(/.f64 (neg.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 C (.f64 B (sqrt.f64 2)))))) (+.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) B)) (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (sqrt.f64 2) (.f64 C (.f64 B A)))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	44.8b	(neg.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A))) (sqrt.f64 (sqrt.f64 2)))))
	60.7b	(-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) (pow.f64 B 3)) (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (sqrt.f64 2)) B))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) (pow.f64 B 3)) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))))))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B)))
	49.7b	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A)))) 3)))
	60.9b	(neg.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A)))) (sqrt.f64 2))))
	47.2b	(/.f64 (neg.f64 (+.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8)))) (/.f64 (.f64 (.f64 B B) (.f64 F (sqrt.f64 2))) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	59.4b	(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))
	58.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) F) (.f64 C A)))) (sqrt.f64 2)))
	46.9b	(/.f64 (neg.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	58.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -4 (.f64 C (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) (.f64 A F))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	63.1b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C)))))
	53.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (-.f64 (+.f64 C (.f64 1/2 (/.f64 (.f64 B B) C))) A))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	44.9b	(neg.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F A)))) (sqrt.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A)))) (sqrt.f64 (sqrt.f64 2)))))
▶	44.8b	(neg.f64 (sqrt.f64 (neg.f64 (/.f64 F A))))
	45.0b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (*.f64 -1/2 (sqrt.f64 F)) (/.f64 (sqrt.f64 F) A)))))
	44.9b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 -1/2 (.f64 (cbrt.f64 F) (cbrt.f64 F))) (/.f64 (cbrt.f64 F) A)))))
	50.2b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))
	50.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (neg.f64 C))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	50.4b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (.f64 (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (*.f64 C A) 4)))))
	53.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4)))) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	49.6b	(neg.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F A))) 3))))

Compiler

Compiled 2253 to 1451 computations (35.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

15.3b

(sqrt.f64 (neg.f64 (/.f64 F A)))

rewrite53.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

24.7b

Rules

30×	`sqrt-prod_binary64`
18×	`times-frac_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Counts

1 → 41

Calls

1 calls:

4.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 528 to 217 computations (58.9% saved)

series14.0ms (0.1%)

Error

27.4b

Counts

1 → 6

Calls

1 calls:

13.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 176 to 140 computations (20.5% saved)

simplify248.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-/l*_binary64`
667×	`div-sub_binary64`
665×	`unsub-neg_binary64`
544×	`unswap-sqr_binary64`
493×	`sub-neg_binary64`

Counts

47 → 24

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	115	696
1	201	676
2	373	676
3	576	676
4	1053	676
5	1734	676
6	2095	676
7	2232	676
8	2380	676
9	2702	676
10	2888	671
11	4292	671
12	4188	671
13	4601	671
14	4848	671
15	4866	671
16	4650	671

prune77.0ms (0.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	21	27	48

Error

24.7b

Counts

48 → 27

Alt Table

Status	Error	Program
	61.0b	(/.f64 (neg.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 C (.f64 B (sqrt.f64 2)))))) (+.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) B)) (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (sqrt.f64 2) (.f64 C (.f64 B A)))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	44.8b	(neg.f64 (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A))) (sqrt.f64 (sqrt.f64 2)))))
	60.7b	(-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) (pow.f64 B 3)) (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (sqrt.f64 2)) B))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) (pow.f64 B 3)) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))))))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B)))
	49.7b	(neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (/.f64 F A))) 3)))
	60.9b	(neg.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A)))) (sqrt.f64 2))))
	47.2b	(/.f64 (neg.f64 (+.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8)))) (/.f64 (.f64 (.f64 B B) (.f64 F (sqrt.f64 2))) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	59.4b	(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))
	58.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) F) (.f64 C A)))) (sqrt.f64 2)))
	46.9b	(/.f64 (neg.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	58.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -4 (.f64 C (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) (.f64 A F))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	63.1b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C)))))
	53.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (-.f64 (+.f64 C (.f64 1/2 (/.f64 (.f64 B B) C))) A))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	41.4b	(neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 F)) (sqrt.f64 (neg.f64 (/.f64 (sqrt.f64 F) A)))))
	44.9b	(neg.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F A)))) (sqrt.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A)))) (sqrt.f64 (sqrt.f64 2)))))
	41.0b	(neg.f64 (*.f64 (fabs.f64 (cbrt.f64 F)) (sqrt.f64 (neg.f64 (/.f64 (cbrt.f64 F) A)))))
	50.2b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))
	50.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
▶	39.9b	(neg.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A))))
	40.0b	(neg.f64 (*.f64 (fabs.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 A))) (sqrt.f64 (neg.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 A))))))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (neg.f64 C))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	40.5b	(neg.f64 (*.f64 (/.f64 1 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (neg.f64 F) (cbrt.f64 A)))))
	45.0b	(neg.f64 (*.f64 (fabs.f64 (cbrt.f64 (/.f64 F A))) (sqrt.f64 (neg.f64 (cbrt.f64 (/.f64 F A))))))
	50.4b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (.f64 (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (*.f64 C A) 4)))))
	53.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4)))) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	49.6b	(neg.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F A))) 3))))

Compiler

Compiled 2263 to 1379 computations (39.1% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(sqrt.f64 (/.f64 -1 A))
0.3b	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))

rewrite98.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

24.7b

Rules

41×	`add-sqr-sqrt_binary64`
36×	`sqrt-prod_binary64`
22×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-r_binary64`

Counts

2 → 70

Calls

2 calls:

11.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
3.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 901 to 610 computations (32.3% saved)

series23.0ms (0.1%)

Error

24.7b

Counts

2 → 9

Calls

2 calls:

17.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
6.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 285 to 231 computations (18.9% saved)

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

743×	`unsub-neg_binary64`
405×	`unswap-sqr_binary64`
386×	`associate-/r*_binary64`
360×	`div-sub_binary64`
299×	`neg-mul-1_binary64`

Counts

79 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1061
1	184	1016
2	442	1013
3	655	1013
4	1312	1013
5	1988	1013
6	2558	1013
7	3524	1013
8	4722	1013
9	4996	1013
10	4841	1013

prune67.0ms (0.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	6	20	26
Picked	0	1	1
Done	0	0	0
Total	36	27	63

Error

24.7b

Counts

63 → 27

Alt Table

Status	Error	Program
	61.0b	(/.f64 (neg.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 B (sqrt.f64 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (.f64 C (.f64 B (sqrt.f64 2)))))) (+.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) B)) (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 (sqrt.f64 2) (.f64 C (.f64 B A)))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	41.5b	(neg.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 -1 A)) (sqrt.f64 F)))))
	60.7b	(-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) B) (sqrt.f64 (/.f64 F (.f64 (+.f64 (.f64 B B) (.f64 A A)) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 C (.f64 (.f64 A A) (sqrt.f64 2))) (pow.f64 B 3)) (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A)))))) (/.f64 (.f64 C (sqrt.f64 2)) B))) (+.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))) (.f64 2 (.f64 (/.f64 (.f64 (.f64 C A) (sqrt.f64 2)) (pow.f64 B 3)) (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 B B) (.f64 A A)) F) (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))))))
	58.7b	(neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (/.f64 (sqrt.f64 2) B)))
	60.9b	(neg.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A)))) (sqrt.f64 2))))
	40.0b	(neg.f64 (.f64 (.f64 (sqrt.f64 F) (fabs.f64 (cbrt.f64 (/.f64 -1 A)))) (sqrt.f64 (cbrt.f64 (/.f64 -1 A)))))
	47.2b	(/.f64 (neg.f64 (+.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8)))) (/.f64 (.f64 (.f64 B B) (.f64 F (sqrt.f64 2))) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	58.6b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 F (+.f64 C (sqrt.f64 (+.f64 (.f64 B B) (.f64 C C)))))) (.f64 B (sqrt.f64 2)))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	59.4b	(neg.f64 (.f64 (/.f64 (sqrt.f64 2) B) (sqrt.f64 (.f64 F (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (.f64 A A))))))))
	58.9b	(neg.f64 (.f64 (sqrt.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) F) (.f64 C A)))) (sqrt.f64 2)))
	46.9b	(/.f64 (neg.f64 (.f64 C (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 A F) -8))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	58.3b	(/.f64 (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -4 (.f64 C (.f64 (+.f64 C (+.f64 A (sqrt.f64 (-.f64 (+.f64 (.f64 C C) (.f64 A A)) (.f64 2 (.f64 C A)))))) (.f64 A F))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	63.1b	(neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C)))))
	53.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (-.f64 (+.f64 C (.f64 1/2 (/.f64 (.f64 B B) C))) A))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	44.9b	(neg.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F A)))) (sqrt.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 F A)))) (sqrt.f64 (sqrt.f64 2)))))
	46.6b	(neg.f64 (*.f64 (sqrt.f64 F) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 -1 A)) 3))))
	39.9b	(neg.f64 (.f64 (sqrt.f64 (sqrt.f64 F)) (.f64 (sqrt.f64 (/.f64 -1 A)) (sqrt.f64 (sqrt.f64 F)))))
	40.3b	(neg.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 (sqrt.f64 F))) (*.f64 (sqrt.f64 (/.f64 -1 A)) (cbrt.f64 (sqrt.f64 F)))))
	50.2b	(.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))
	40.2b	(neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 -1 A)) (sqrt.f64 F))) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 -1 A)) (sqrt.f64 F)))) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 -1 A)) (sqrt.f64 F)))))
	50.2b	(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	39.9b	(neg.f64 (*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A))))
	40.0b	(neg.f64 (*.f64 (fabs.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 A))) (sqrt.f64 (neg.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 A))))))
	63.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (+.f64 (+.f64 A C) (neg.f64 C))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
	50.4b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (.f64 (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (.f64 C A) 4))))) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (+.f64 C A) (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2)))))) (cbrt.f64 (-.f64 (.f64 B B) (.f64 (*.f64 C A) 4)))))
	53.2b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 F (-.f64 (.f64 B B) (.f64 (.f64 C A) 4)))) (+.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)))
	49.6b	(neg.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -1/2 (/.f64 F A))) 3))))

Compiler

Compiled 1364 to 875 computations (35.9% saved)

regimes4.8s (26.1%)

Accuracy

Total 4.2b remaining (13.7%)

Threshold costs 0b (0%)

Compiler

Compiled 63868 to 44598 computations (30.2% saved)

bsearch16.0ms (0.1%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
28×	`+-commutative_binary64`
25×	`sub-neg_binary64`
22×	`neg-mul-1_binary64` `neg-sub0_binary64`
16×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	404
1	128	404
2	189	404
3	231	404
4	251	404
5	255	404
6	254	404

end25.0ms (0.1%)

Compiler: Compiled 795 to 543 computations (31.7% saved)

sample5.8s (31.6%)

Algorithm

1×

intervals

Results

772.0ms	5455×	body	128	valid
522.0ms	706×	body	2048	valid
503.0ms	870×	body	1024	valid
474.0ms	825×	body	1024	nan
435.0ms	586×	body	2048	nan
390.0ms	2824×	body	128	nan
307.0ms	314×	body	256	nan
267.0ms	619×	body	512	valid
262.0ms	586×	body	512	nan
101.0ms	349×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 1336 to 860 computations (35.6% saved)

Details

analyze2.9s (15.7%)

sample149.0ms (0.8%)

simplify40.0ms (0.2%)

prune5.0ms (0%)

localize24.0ms (0.1%)

rewrite863.0ms (4.7%)

series1.9s (10.4%)

simplify331.0ms (1.8%)

prune373.0ms (2%)

localize8.0ms (0%)

rewrite115.0ms (0.6%)

series54.0ms (0.3%)

simplify114.0ms (0.6%)

prune84.0ms (0.5%)

localize5.0ms (0%)

rewrite53.0ms (0.3%)

series14.0ms (0.1%)

simplify248.0ms (1.4%)

prune77.0ms (0.4%)

localize6.0ms (0%)

rewrite98.0ms (0.5%)

series23.0ms (0.1%)

simplify152.0ms (0.8%)

prune67.0ms (0.4%)

regimes4.8s (26.1%)

bsearch16.0ms (0.1%)

simplify17.0ms (0.1%)

end25.0ms (0.1%)

sample5.8s (31.6%)

Profiling