Details

analyze383.0ms (3.9%)

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
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample89.0ms (0.9%)

Algorithm

1×

intervals

Results

26.0ms	23×	body	4096	valid
23.0ms	184×	body	128	valid
16.0ms	21×	body	2048	valid
10.0ms	18×	body	1024	valid
2.0ms	5×	body	512	valid
1.0ms	5×	body	256	valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

763×	`div-sub_binary64`
390×	`associate-/r/_binary64`
378×	`cancel-sign-sub-inv_binary64`
331×	`distribute-rgt-in_binary64`
311×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	44	33
2	92	33
3	250	33
4	624	33
5	1844	33
6	4091	33
7	4897	33
8	5005	33

prune4.0ms (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

26.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	26.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 B B)))) B)) PI.f64))

Compiler

Compiled 72 to 51 computations (29.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
0.0b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 B B)))) B)) PI.f64))
0.5b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
35.2b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

rewrite156.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

25.9b

Rules

34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
13×	`associate-r_binary64`

Counts

4 → 105

Calls

4 calls:

11.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
8.0ms	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 B B)))) B)) PI.f64))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
4.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)

Compiler

Compiled 3792 to 1850 computations (51.2% saved)

series317.0ms (3.2%)

Error

4.2b

Counts

4 → 77

Calls

4 calls:

79.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
74.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
55.0ms	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (.f64 B B)))) B)) PI.f64))
39.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)

Compiler

Compiled 6105 to 4517 computations (26% saved)

simplify160.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

619×	`cancel-sign-sub-inv_binary64`
418×	`sub-neg_binary64`
192×	`+-commutative_binary64`
180×	`*-commutative_binary64`
143×	`associate-r_binary64`

Counts

182 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	7049
1	1131	6561
2	3710	6552
3	5244	6552

prune122.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	7	163

Error

4.2b

Counts

163 → 7

Alt Table

Status	Error	Program
▶	26.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64))
	37.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 (-.f64 C A)) B)) PI.f64))
	49.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 (/.f64 (*.f64 B B) C) -1/2) B)) PI.f64))
	27.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
	51.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) PI.f64))
	57.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 B B) A) (/.f64 (.f64 C (.f64 B B)) (.f64 A A))) (/.f64 (.f64 C (.f64 C (.f64 B B))) (pow.f64 A 3)))) (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (.f64 3/8 (/.f64 (*.f64 C (pow.f64 B 4)) (pow.f64 A 4)))))) B)) PI.f64))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (*.f64 B B) A)) B)) PI.f64))

Compiler

Compiled 4915 to 2406 computations (51% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)
0.1b	(-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))))
1.3b	(+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
35.2b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

rewrite98.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

23×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
9×	`times-frac_binary64`

Counts

4 → 74

Calls

4 calls:

10.0ms	(-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))))
7.0ms	(+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
6.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
2.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)

Compiler

Compiled 2441 to 1296 computations (46.9% saved)

series331.0ms (3.4%)

Error

4.2b

Counts

4 → 100

Calls

4 calls:

89.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
66.0ms	(-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))))
62.0ms	(+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
40.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)

Compiler

Compiled 7654 to 5692 computations (25.6% saved)

simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

500×	`sub-neg_binary64`
238×	`+-commutative_binary64`
231×	`distribute-neg-in_binary64`
217×	`distribute-rgt-neg-in_binary64`
182×	`associate--l+_binary64`

Counts

174 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	6114
1	1109	5803
2	3647	5800
3	5090	5800

prune77.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Error

4.2b

Counts

119 → 9

Alt Table

Status	Error	Program
	27.8b	(.f64 180 (.f64 (.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B))) (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)))) (/.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B))) PI.f64)))
	51.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) PI.f64))
	50.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) (sqrt.f64 C)) (-.f64 (sqrt.f64 C) (sqrt.f64 (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) B)) PI.f64))
	57.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 B B) A) (/.f64 (.f64 C (.f64 B B)) (.f64 A A))) (/.f64 (.f64 C (.f64 C (.f64 B B))) (pow.f64 A 3)))) (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (.f64 3/8 (/.f64 (*.f64 C (pow.f64 B 4)) (pow.f64 A 4)))))) B)) PI.f64))
	37.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 (-.f64 C A)) B)) PI.f64))
	49.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 (/.f64 (*.f64 B B) C) -1/2) B)) PI.f64))
	27.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
▶	26.7b	(.f64 180 (.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (*.f64 B B) A)) B)) PI.f64))

Compiler

Compiled 3319 to 1691 computations (49.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)
0.1b	(-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))))
1.3b	(+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
35.2b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

rewrite99.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

23×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
9×	`times-frac_binary64`

Counts

4 → 74

Calls

4 calls:

12.0ms	(-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))))
8.0ms	(+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
6.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
2.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)

Compiler

Compiled 2577 to 1432 computations (44.4% saved)

series348.0ms (3.5%)

Error

4.2b

Counts

4 → 100

Calls

4 calls:

84.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
71.0ms	(-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))))
70.0ms	(+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
42.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)

Compiler

Compiled 8054 to 6092 computations (24.4% saved)

simplify140.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

500×	`sub-neg_binary64`
238×	`+-commutative_binary64`
231×	`distribute-neg-in_binary64`
217×	`distribute-rgt-neg-in_binary64`
182×	`associate--l+_binary64`

Counts

174 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	6114
1	1109	5803
2	3647	5800
3	5090	5800

prune79.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	112	9	121

Error

4.2b

Counts

121 → 9

Alt Table

Status	Error	Program
	27.8b	(.f64 180 (.f64 (.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B))) (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)))) (/.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B))) PI.f64)))
	51.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) PI.f64))
	50.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) (sqrt.f64 C)) (-.f64 (sqrt.f64 C) (sqrt.f64 (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) B)) PI.f64))
	57.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 B B) A) (/.f64 (.f64 C (.f64 B B)) (.f64 A A))) (/.f64 (.f64 C (.f64 C (.f64 B B))) (pow.f64 A 3)))) (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (.f64 3/8 (/.f64 (*.f64 C (pow.f64 B 4)) (pow.f64 A 4)))))) B)) PI.f64))
	37.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 (-.f64 C A)) B)) PI.f64))
	49.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 (/.f64 (*.f64 B B) C) -1/2) B)) PI.f64))
▶	27.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
✓	26.7b	(.f64 180 (.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (*.f64 B B) A)) B)) PI.f64))

Compiler

Compiled 3459 to 1838 computations (46.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 B (-.f64 C A))
0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
0.0b	(/.f64 (+.f64 B (-.f64 C A)) B)
0.0b	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)

rewrite103.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

56×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
31×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

4 → 116

Calls

4 calls:

7.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
5.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
5.0ms	(+.f64 B (-.f64 C A))
2.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)

Compiler

Compiled 2252 to 640 computations (71.6% saved)

series102.0ms (1%)

Error

4.2b

Counts

4 → 54

Calls

4 calls:

28.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
26.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
23.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)
17.0ms	(+.f64 B (-.f64 C A))

Compiler

Compiled 1431 to 1068 computations (25.4% saved)

simplify131.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

421×	`associate-/r*_binary64`
359×	`div-sub_binary64`
338×	`unsub-neg_binary64`
328×	`distribute-rgt-in_binary64`
320×	`associate-/r/_binary64`

Counts

170 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	3001
1	363	2770
2	970	2768
3	2782	2768
4	4365	2768
5	5035	2768

prune68.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	124	10	134

Error

4.2b

Counts

134 → 10

Alt Table

Status	Error	Program
	27.8b	(.f64 180 (.f64 (.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B))) (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)))) (/.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) B))) PI.f64)))
	51.7b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (neg.f64 B) B)) PI.f64))
	50.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))) (sqrt.f64 C)) (-.f64 (sqrt.f64 C) (sqrt.f64 (+.f64 A (sqrt.f64 (+.f64 (.f64 B B) (pow.f64 (-.f64 A C) 2))))))) B)) PI.f64))
	57.3b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (.f64 1/2 (+.f64 (+.f64 (/.f64 (.f64 B B) A) (/.f64 (.f64 C (.f64 B B)) (.f64 A A))) (/.f64 (.f64 C (.f64 C (.f64 B B))) (pow.f64 A 3)))) (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 B B) (pow.f64 C 3)) (pow.f64 A 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 B 4) (pow.f64 A 3))) (.f64 3/8 (/.f64 (*.f64 C (pow.f64 B 4)) (pow.f64 A 4)))))) B)) PI.f64))
	37.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 2 (-.f64 C A)) B)) PI.f64))
	49.9b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 (/.f64 (*.f64 B B) C) -1/2) B)) PI.f64))
	28.3b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) PI.f64) 180)) (cbrt.f64 (.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) PI.f64) 180))) (cbrt.f64 (*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B)) PI.f64) 180)))
	39.0b	(.f64 180 (.f64 (/.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B))) (sqrt.f64 PI.f64)) (/.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 (+.f64 C B) A) B))) (sqrt.f64 PI.f64))))
	26.7b	(.f64 180 (.f64 1 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))) B)) PI.f64)))
	47.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (/.f64 (*.f64 B B) A)) B)) PI.f64))

Compiler

Compiled 2087 to 716 computations (65.7% saved)

regimes3.5s (35.4%)

Accuracy

Total 11.7b remaining (64.7%)

Threshold costs 0b (0%)

Compiler

Compiled 55850 to 38259 computations (31.5% saved)

bsearch14.0ms (0.1%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
12×	`*-commutative_binary64`
10×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	127
1	67	127
2	84	127
3	96	127
4	102	127
5	103	127
6	102	127

end1.0ms (0%)

Compiler: Compiled 85 to 57 computations (32.9% saved)

sample3.2s (32.8%)

Algorithm

1×

intervals

Results

861.0ms	855×	body	4096	valid
732.0ms	5452×	body	128	valid
679.0ms	832×	body	2048	valid
289.0ms	501×	body	1024	valid
95.0ms	242×	body	512	valid
34.0ms	118×	body	256	valid

Compiler

Compiled 457 to 295 computations (35.4% saved)

Details

analyze383.0ms (3.9%)

sample89.0ms (0.9%)

simplify85.0ms (0.9%)

prune4.0ms (0%)

localize17.0ms (0.2%)

rewrite156.0ms (1.6%)

series317.0ms (3.2%)

simplify160.0ms (1.6%)

prune122.0ms (1.2%)

localize18.0ms (0.2%)

rewrite98.0ms (1%)

series331.0ms (3.4%)

simplify153.0ms (1.5%)

prune77.0ms (0.8%)

localize18.0ms (0.2%)

rewrite99.0ms (1%)

series348.0ms (3.5%)

simplify140.0ms (1.4%)

prune79.0ms (0.8%)

localize9.0ms (0.1%)

rewrite103.0ms (1%)

series102.0ms (1%)

simplify131.0ms (1.3%)

prune68.0ms (0.7%)

regimes3.5s (35.4%)

bsearch14.0ms (0.1%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample3.2s (32.8%)

Profiling