Details

analyze370.0ms (3%)

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)

sample96.0ms (0.8%)

Algorithm

1×

intervals

Results

30.0ms	31×	body	4096	valid
24.0ms	169×	body	128	valid
19.0ms	28×	body	2048	valid
7.0ms	14×	body	1024	valid
3.0ms	9×	body	512	valid
1.0ms	5×	body	256	valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify66.0ms (0.5%)

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

13.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	13.8b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
	29.5b	(.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)))

Status

Error

Program

▶

13.8b

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

29.5b

(*.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)))

Compiler

Compiled 132 to 91 computations (31.1% saved)

localize10.0ms (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	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
✓	0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))
✓	0.7b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series207.0ms (1.7%)

Counts

4 → 144

Calls

4 calls:

77.0ms	(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)
62.0ms	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))
38.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
30.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64`
71×	`add-sqr-sqrt_binary64`
48×	`add-cube-cbrt_binary64`
37×	`times-frac_binary64`
24×	`prod-diff_binary64`

Counts

4 → 161

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)
8.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))
7.0ms	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))
4.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-def_binary64`
355×	`associate-/l*_binary64`
238×	`times-frac_binary64`
205×	`sub-neg_binary64`
198×	`associate-/r*_binary64`

Counts

305 → 378

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	10323
1	1950	9081
2	4971	9081

prune298.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	370	8	378
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	372	8	380

Error

0.3b

Counts

380 → 8

Alt Table

Status	Error	Program
	37.1b	(expm1.f64 (log1p.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	42.3b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 C (/.f64 (*.f64 A A) B)) (/.f64 B A)))) (PI.f64)))
	47.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (.f64 B B) A))) B)) (PI.f64)))
	48.3b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
▶	13.8b	(/.f64 (*.f64 180 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))) (PI.f64))
	14.4b	(.f64 (.f64 (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))) (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))))) (cbrt.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	47.5b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 B 2) C)) B)) (PI.f64)))
	13.8b	(*.f64 180 (/.f64 1 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))))

Compiler

Compiled 13466 to 5271 computations (60.9% 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 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)
✓	0.0b	(/.f64 (*.f64 180 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))) (PI.f64))
	0.7b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series45.0ms (0.4%)

Counts

2 → 72

Calls

2 calls:

39.0ms	(/.f64 (*.f64 180 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))) (PI.f64))
6.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))
6.0ms	(/.f64 (*.f64 180 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))) (PI.f64))

simplify194.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

885×	`associate-/r/_binary64`
863×	`div-sub_binary64`
445×	`sub-neg_binary64`
322×	`*-commutative_binary64`
298×	`fma-def_binary64`

Counts

104 → 58

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	2573
1	165	2383
2	491	2383
3	1743	2383
4	2123	2383
5	2606	2383
6	3433	2383
7	3809	2383
8	3994	2383
9	4708	2383
10	4903	2383

prune255.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	316	4	320
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	319	9	328

Error

0.3b

Counts

328 → 9

Alt Table

Status	Error	Program
	44.3b	(/.f64 (.f64 180 (atan.f64 (.f64 -1/2 (+.f64 (/.f64 B C) (/.f64 A (/.f64 (*.f64 C C) B)))))) (PI.f64))
	42.3b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 C (/.f64 (*.f64 A A) B)) (/.f64 B A)))) (PI.f64)))
	37.1b	(expm1.f64 (log1p.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	47.7b	(.f64 180 (/.f64 (atan.f64 (/.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (.f64 B B) A))) B)) (PI.f64)))
	48.3b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
	42.3b	(/.f64 (.f64 180 (atan.f64 (.f64 1/2 (+.f64 (/.f64 C (/.f64 (*.f64 A A) B)) (/.f64 B A))))) (PI.f64))
▶	13.8b	(/.f64 180 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))))
	14.4b	(.f64 (.f64 (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))) (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))))) (cbrt.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	48.0b	(/.f64 (.f64 180 (atan.f64 (/.f64 (.f64 -1/2 (+.f64 (/.f64 (.f64 B B) C) (/.f64 (.f64 A (.f64 B B)) (.f64 C C)))) B))) (PI.f64))

Compiler

Compiled 11570 to 5077 computations (56.1% saved)

localize10.0ms (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	(/.f64 180 (/.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)))
	0.7b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series122.0ms (1%)

Counts

2 → 72

Calls

2 calls:

83.0ms	(/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)))
39.0ms	(/.f64 180 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))))

rewrite18.0ms (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 → 101

Calls

2 calls:

5.0ms	(/.f64 180 (/.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)))

simplify306.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
462×	`*-commutative_binary64`
335×	`associate-/r/_binary64`
323×	`div-sub_binary64`
317×	`sub-neg_binary64`

Counts

173 → 185

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	182	6041
1	362	5783
2	966	5783
3	2128	5783
4	2572	5783
5	3135	5783
6	4013	5783
7	4402	5783
8	4937	5783
9	4878	5783

prune336.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	445	2	447
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	447	9	456

Error

0.3b

Counts

456 → 9

Alt Table

Status	Error	Program
	44.3b	(/.f64 (.f64 180 (atan.f64 (.f64 -1/2 (+.f64 (/.f64 B C) (/.f64 A (/.f64 (*.f64 C C) B)))))) (PI.f64))
	42.3b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 C (/.f64 (*.f64 A A) B)) (/.f64 B A)))) (PI.f64)))
	37.1b	(expm1.f64 (log1p.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	48.0b	(/.f64 180 (/.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))))
	48.3b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
	42.3b	(/.f64 (.f64 180 (atan.f64 (.f64 1/2 (+.f64 (/.f64 C (/.f64 (*.f64 A A) B)) (/.f64 B A))))) (PI.f64))
✓	13.8b	(/.f64 180 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))))
▶	14.4b	(.f64 (.f64 (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))) (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))))) (cbrt.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	47.7b	(/.f64 180 (/.f64 (PI.f64) (atan.f64 (/.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (*.f64 B B) A))) B))))

Compiler

Compiled 16176 to 5850 computations (63.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))) (cbrt.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))) (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))))) (cbrt.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
✓	0.3b	(cbrt.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))))
	0.7b	(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))

series4.9s (39.5%)

Counts

3 → 108

Calls

3 calls:

3.1s

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

1.8s

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

80.0ms

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

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
21×	`associate-*r/_binary64`
17×	`cbrt-div_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`

Counts

3 → 90

Calls

3 calls:

7.0ms

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

4.0ms

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

2.0ms

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

simplify190.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

733×	`associate-/l/_binary64`
522×	`associate-/r/_binary64`
318×	`unswap-sqr_binary64`
223×	`associate-*l/_binary64`
201×	`associate-*r/_binary64`

Counts

198 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	6940
1	220	6515
2	669	5998
3	1963	5904
4	4834	5904
5	4996	5904

prune505.0ms (4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	595	0	595
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	595	9	604

Error

0.3b

Counts

604 → 9

Alt Table

Status	Error	Program
	44.3b	(/.f64 (.f64 180 (atan.f64 (.f64 -1/2 (+.f64 (/.f64 B C) (/.f64 A (/.f64 (*.f64 C C) B)))))) (PI.f64))
	42.3b	(.f64 180 (/.f64 (atan.f64 (.f64 1/2 (+.f64 (/.f64 C (/.f64 (*.f64 A A) B)) (/.f64 B A)))) (PI.f64)))
	37.1b	(expm1.f64 (log1p.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	48.0b	(/.f64 180 (/.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))))
	48.3b	(.f64 180 (/.f64 (atan.f64 (.f64 -1/2 (/.f64 B C))) (PI.f64)))
	42.3b	(/.f64 (.f64 180 (atan.f64 (.f64 1/2 (+.f64 (/.f64 C (/.f64 (*.f64 A A) B)) (/.f64 B A))))) (PI.f64))
✓	13.8b	(/.f64 180 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B))))
✓	14.4b	(.f64 (.f64 (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))) (cbrt.f64 (.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64))))) (cbrt.f64 (*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (PI.f64)))))
	47.7b	(/.f64 180 (/.f64 (PI.f64) (atan.f64 (/.f64 (.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 B B) C) (.f64 A A)) (/.f64 (*.f64 B B) A))) B))))

Compiler

Compiled 41103 to 12920 computations (68.6% saved)

regimes1.3s (10.3%)

Accuracy

Total 12.0b remaining (95.6%)

Threshold costs 0b (0%)

Counts

158 → 2

Compiler

Compiled 27967 to 18384 computations (34.3% saved)

bsearch66.0ms (0.5%)

Steps

Iters	Range		Point
9	-0.13633488557030293	-4.832711916121147e-7	-0.1297148223603918

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	29	47
2	37	47
3	41	47
4	43	47
5	43	47

end1.0ms (0%)

Compiler: Compiled 33 to 22 computations (33.3% saved)

sample2.9s (23.2%)

Algorithm

1×

intervals

Results

809.0ms	877×	body	4096	valid
655.0ms	5387×	body	128	valid
597.0ms	859×	body	2048	valid
272.0ms	499×	body	1024	valid
93.0ms	238×	body	512	valid
39.0ms	140×	body	256	valid

Compiler

Compiled 289 to 183 computations (36.7% saved)

Details

analyze370.0ms (3%)

sample96.0ms (0.8%)

simplify66.0ms (0.5%)

prune5.0ms (0%)

localize10.0ms (0.1%)

series207.0ms (1.7%)

rewrite42.0ms (0.3%)

simplify159.0ms (1.3%)

prune298.0ms (2.4%)

localize10.0ms (0.1%)

series45.0ms (0.4%)

rewrite14.0ms (0.1%)

simplify194.0ms (1.6%)

prune255.0ms (2%)

localize10.0ms (0.1%)

series122.0ms (1%)

rewrite18.0ms (0.1%)

simplify306.0ms (2.4%)

prune336.0ms (2.7%)

localize14.0ms (0.1%)

series4.9s (39.5%)

rewrite24.0ms (0.2%)

simplify190.0ms (1.5%)

prune505.0ms (4%)

regimes1.3s (10.3%)

bsearch66.0ms (0.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.9s (23.2%)

Profiling