Details

analyze326.0ms (2.1%)

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)

sample3.8s (24.6%)

Results

1.1s	5614×	body	128	valid
1.1s	894×	body	4096	valid
872.0ms	891×	body	2048	valid
367.0ms	504×	body	1024	valid
130.0ms	233×	body	512	valid
47.0ms	120×	body	256	valid

Compiler

Compiled 80 to 62 computations (22.5% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

652×	`div-sub_binary64`
554×	`fma-neg_binary64`
550×	`hypot-def_binary64`
431×	`fma-def_binary64`
378×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	44	25
2	96	25
3	264	25
4	706	25
5	2223	25
6	4175	25
7	4825	25
8	4983	25

prune5.0ms (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

13.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	28.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))
▶	13.6b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))

Status

Error

Program

28.0b

(*.f64 180 (/.f64 (atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))) (PI.f64)))

▶

13.6b

(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))

Compiler

Compiled 132 to 91 computations (31.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)
✓	0.0b	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))
✓	0.5b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series183.0ms (1.2%)

Counts

4 → 144

Calls

4 calls:

79.0ms	(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)
67.0ms	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))
31.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))
7.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`*-un-lft-identity_binary64`
58×	`add-sqr-sqrt_binary64`
40×	`add-cube-cbrt_binary64`
27×	`times-frac_binary64`
24×	`prod-diff_binary64`

Counts

4 → 136

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)
9.0ms	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))
6.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))
4.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))

simplify173.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-def_binary64`
336×	`associate-/l*_binary64`
232×	`times-frac_binary64`
204×	`sub-neg_binary64`
193×	`associate-/r*_binary64`

Counts

280 → 334

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	637	9182
1	1859	8041
2	4894	8039
3	4987	8039

prune328.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	327	7	334
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	329	7	336

Error

0.2b

Counts

336 → 7

Alt Table

Status	Error	Program
	47.0b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
	45.6b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 B B) C) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))) B)) (PI.f64)))
	13.6b	(*.f64 180 (/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))))
	19.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64)))
	53.4b	(.f64 180 (/.f64 (atan.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 C B) (pow.f64 A 2))) (+.f64 (.f64 1/2 (/.f64 B A)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 C 2) B) (pow.f64 A 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 C 3) B) (pow.f64 A 4)))))) (+.f64 (.f64 3/8 (/.f64 (.f64 C (pow.f64 B 3)) (pow.f64 A 4))) (*.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 A 3)))))) (PI.f64)))
	44.5b	(.f64 180 (/.f64 (atan.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 C B) (pow.f64 A 2))) (.f64 1/2 (/.f64 B A)))) (PI.f64)))
▶	13.6b	(*.f64 180 (/.f64 (atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) (PI.f64)))

Compiler

Compiled 12158 to 5118 computations (57.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))))
✓	0.0b	(/.f64 (atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) (PI.f64))
✓	0.1b	(/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))
	0.5b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series114.0ms (0.7%)

Counts

3 → 108

Calls

3 calls:

80.0ms

(/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))

28.0ms

(/.f64 (atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) (PI.f64))

6.0ms

(atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64`
136×	`*-un-lft-identity_binary64`
100×	`add-sqr-sqrt_binary64`
76×	`add-cube-cbrt_binary64`
36×	`distribute-lft-out--_binary64`

Counts

3 → 160

Calls

3 calls:

11.0ms

(/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))

2.0ms

(/.f64 (atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) (PI.f64))

1.0ms

(atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))))

simplify209.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

379×	`sub-neg_binary64`
341×	`fma-neg_binary64`
242×	`fma-def_binary64`
194×	`+-commutative_binary64`
178×	`*-commutative_binary64`

Counts

268 → 277

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	8761
1	1191	7890
2	4167	7856
3	4988	7856
4	5024	7856

prune384.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	413	1	414
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	414	7	421

Error

0.2b

Counts

421 → 7

Alt Table

Status	Error	Program
	43.2b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 B A) (/.f64 C (/.f64 (*.f64 A A) B))))) (PI.f64)))
▶	13.6b	(*.f64 180 (/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))))
	47.0b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
	45.6b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 B B) C) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))) B)) (PI.f64)))
	19.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64)))
	53.4b	(.f64 180 (/.f64 (atan.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 C B) (pow.f64 A 2))) (+.f64 (.f64 1/2 (/.f64 B A)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 C 2) B) (pow.f64 A 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 C 3) B) (pow.f64 A 4)))))) (+.f64 (.f64 3/8 (/.f64 (.f64 C (pow.f64 B 3)) (pow.f64 A 4))) (*.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 A 3)))))) (PI.f64)))
✓	13.6b	(*.f64 180 (/.f64 (atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) (PI.f64)))

Compiler

Compiled 15526 to 6613 computations (57.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))
✓	0.0b	(/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))))
✓	0.0b	(/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))
	0.5b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series122.0ms (0.8%)

Counts

2 → 72

Calls

2 calls:

93.0ms	(/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))
29.0ms	(/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

5.0ms	(/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))))
2.0ms	(/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))

simplify303.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1025×	`fma-neg_binary64`
471×	`unswap-sqr_binary64`
396×	`fabs-mul_binary64`
319×	`distribute-rgt-in_binary64`
311×	`div-sub_binary64`

Counts

179 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	5784
1	204	5419
2	479	5392
3	968	5392
4	1382	5392
5	1770	5392
6	2436	5392
7	3023	5392
8	3624	5392
9	4880	5392
10	5050	5392

prune327.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	321	1	322
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	322	7	329

Error

0.2b

Counts

329 → 7

Alt Table

Status	Error	Program
	43.2b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 B A) (/.f64 C (/.f64 (*.f64 A A) B))))) (PI.f64)))
✓	13.6b	(*.f64 180 (/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))))
▶	19.4b	(.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64)))
	53.4b	(.f64 180 (/.f64 (atan.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 C B) (pow.f64 A 2))) (+.f64 (.f64 1/2 (/.f64 B A)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 C 2) B) (pow.f64 A 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 C 3) B) (pow.f64 A 4)))))) (+.f64 (.f64 3/8 (/.f64 (.f64 C (pow.f64 B 3)) (pow.f64 A 4))) (*.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 A 3)))))) (PI.f64)))
	45.6b	(.f64 180 (/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 B B) C) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))) B)))))
✓	13.6b	(*.f64 180 (/.f64 (atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) (PI.f64)))
	47.0b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))

Compiler

Compiled 11709 to 4251 computations (63.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64))
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))
✓	11.2b	(fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))))
✓	62.4b	(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))

series6.4s (41.8%)

Counts

4 → 126

Calls

4 calls:

6.2s	(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))
58.0ms	(fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))))
50.0ms	(*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))
47.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
19×	`pow1_binary64`
18×	`sqrt-prod_binary64`

Counts

4 → 102

Calls

4 calls:

6.0ms	(*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))
2.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64))
0.0ms	(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))
0.0ms	(fma.f64 1 (-.f64 C A) (neg.f64 (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A))))))

simplify136.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
263×	`associate-r_binary64`
231×	`associate-l_binary64`
226×	`associate--r+_binary64`
226×	`associate--l+_binary64`

Counts

228 → 282

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	552	9598
1	1570	7648
2	5017	7648

prune462.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	392	7	399

Error

0.2b

Counts

399 → 7

Alt Table

Status	Error	Program
	43.2b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 B A) (/.f64 C (/.f64 (*.f64 A A) B))))) (PI.f64)))
✓	13.6b	(*.f64 180 (/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))))
	19.5b	(.f64 180 (log.f64 (exp.f64 (/.f64 (atan.f64 (/.f64 (+.f64 (fma.f64 1 (-.f64 C A) (neg.f64 (.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) (fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A)))) (sqrt.f64 (hypot.f64 B (-.f64 C A))) (*.f64 (sqrt.f64 (hypot.f64 B (-.f64 C A))) (sqrt.f64 (hypot.f64 B (-.f64 C A)))))) B)) (PI.f64)))))
	53.4b	(.f64 180 (/.f64 (atan.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 C B) (pow.f64 A 2))) (+.f64 (.f64 1/2 (/.f64 B A)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 C 2) B) (pow.f64 A 3))) (.f64 1/2 (/.f64 (.f64 (pow.f64 C 3) B) (pow.f64 A 4)))))) (+.f64 (.f64 3/8 (/.f64 (.f64 C (pow.f64 B 3)) (pow.f64 A 4))) (*.f64 1/8 (/.f64 (pow.f64 B 3) (pow.f64 A 3)))))) (PI.f64)))
	45.6b	(.f64 180 (/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 B B) C) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))) B)))))
✓	13.6b	(*.f64 180 (/.f64 (atan.f64 (/.f64 1 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) (PI.f64)))
	47.0b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))

Compiler

Compiled 28506 to 9378 computations (67.1% saved)

regimes1.7s (10.9%)

Accuracy

Total 10.2b remaining (94.8%)

Threshold costs 0b (0%)

Counts

189 → 3

Compiler

Compiled 38330 to 22041 computations (42.5% saved)

bsearch9.0ms (0.1%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	137
1	56	137
2	69	137
3	77	137
4	81	137
5	80	137

end165.0ms (1.1%)

Compiler: Compiled 415 to 253 computations (39% saved)

Details

analyze326.0ms (2.1%)

sample3.8s (24.6%)

simplify64.0ms (0.4%)

prune5.0ms (0%)

localize9.0ms (0.1%)

series183.0ms (1.2%)

rewrite39.0ms (0.3%)

simplify173.0ms (1.1%)

prune328.0ms (2.1%)

localize12.0ms (0.1%)

series114.0ms (0.7%)

rewrite36.0ms (0.2%)

simplify209.0ms (1.4%)

prune384.0ms (2.5%)

localize10.0ms (0.1%)

series122.0ms (0.8%)

rewrite19.0ms (0.1%)

simplify303.0ms (2%)

prune327.0ms (2.1%)

localize17.0ms (0.1%)

series6.4s (41.8%)

rewrite19.0ms (0.1%)

simplify136.0ms (0.9%)

prune462.0ms (3%)

regimes1.7s (10.9%)

bsearch9.0ms (0.1%)

simplify5.0ms (0%)

end165.0ms (1.1%)

Profiling