Details

analyze1.6s (13.6%)

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
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample152.0ms (1.3%)

Algorithm

1×

intervals

Results

39.0ms	43×	body	1024	valid
24.0ms	26×	body	1024	invalid
23.0ms	167×	body	128	valid
17.0ms	28×	body	512	valid
16.0ms	8×	body	2048	valid
12.0ms	20×	body	512	invalid
3.0ms	10×	body	256	valid
3.0ms	8×	body	256	invalid
2.0ms	12×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify234.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	5252	34

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 20.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (/.f64 angle 180) PI.f64)
0.4b	(*.f64 (/.f64 angle 180) PI.f64)
26.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.5b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-l_binary64_360`
20×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454`
14×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`pow1_binary64_480`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `div-inv_binary64_416` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 (/.f64 angle 180) PI.f64)
6.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series61.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (/.f64 angle 180) PI.f64)
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5021	1051

prune213.0ms (1.8%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	62	28	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	28	91

Merged error: 19.1b

Counts

91 → 28

Compiler

Compiled 3162 to 2381 computations (24.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
0.4b	(*.f64 (/.f64 angle 180) PI.f64)
26.4b	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
26.5b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_441`
13×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-l*_binary64_360`
12×	`add-exp-log_binary64_457`
10×	`times-frac_binary64_425`
9×	`add-cbrt-cube_binary64_455` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`associate-r_binary64_359` `prod-exp_binary64_468` `pow-unpow_binary64_496`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-pow_binary64_491`
1×	`associate-l/_binary64_362` `unpow-prod-down_binary64_498` `div-inv_binary64_416` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `-commutative_binary64_350` `unpow2_binary64_484` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 64

Calls

4 calls:

6.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
2.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series112.0ms (1%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4988	1040
1	4988	1040

prune153.0ms (1.3%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	27	27
Picked	0	1	1
Done	0	0	0
Total	72	32	104

Merged error: 19.1b

Counts

104 → 32

Compiler

Compiled 2893 to 2218 computations (23.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
26.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.3b	(cos.f64 (.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) 1) (*.f64 PI.f64 (/.f64 (cbrt.f64 angle) 180))))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `cbrt-prod_binary64_450` `add-sqr-sqrt_binary64_441`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
2×	`pow1/3_binary64_501`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) 1) (*.f64 PI.f64 (/.f64 (cbrt.f64 angle) 180))))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0ms	(cbrt.f64 angle)
1.0ms	(cbrt.f64 angle)

series202.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 angle)
83.0ms	(cbrt.f64 angle)
18.0ms	(cos.f64 (.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) 1) (*.f64 PI.f64 (/.f64 (cbrt.f64 angle) 180))))
12.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5122	481

prune137.0ms (1.2%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	39	9	48
Fresh	4	26	30
Picked	1	0	1
Done	0	1	1
Total	44	36	80

Merged error: 19.0b

Counts

80 → 36

Compiler

Compiled 2655 to 1913 computations (27.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 1/180 (.f64 angle PI.f64))
0.4b	(*.f64 (/.f64 angle 180) PI.f64)
26.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.4b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_441`
16×	`associate-l_binary64_360`
14×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
13×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
10×	`times-frac_binary64_425`
5×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `associate-r_binary64_359`
2×	`unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`associate-*l/_binary64_362` `div-inv_binary64_416` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 64

Calls

4 calls:

6.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(.f64 1/180 (.f64 angle PI.f64))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series62.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
18.0ms	(.f64 1/180 (.f64 angle PI.f64))
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4962	878
1	4962	878

prune106.0ms (0.9%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	4	30	34
Picked	1	0	1
Done	0	1	1
Total	77	35	112

Merged error: 19.0b

Counts

112 → 35

Compiler

Compiled 1939 to 1303 computations (32.8% saved)

regimes1.1s (9.2%)

Compiler: Compiled 14236 to 12192 computations (14.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	34
1	25	34

end0.0ms (0%)

sample7.2s (61.7%)

Algorithm

1×

intervals

Results

1.4s	1520×	body	1024	valid
1.3s	1385×	body	1024	invalid
694.0ms	5040×	body	128	valid
481.0ms	781×	body	512	valid
418.0ms	671×	body	512	invalid
290.0ms	202×	body	2048	valid
153.0ms	454×	body	256	valid
123.0ms	344×	body	256	invalid
72.0ms	548×	body	128	invalid
13.0ms	3×	body	4096	valid

Compiler

Compiled 2157 to 1843 computations (14.6% saved)

Details

analyze1.6s (13.6%)

sample152.0ms (1.3%)

simplify234.0ms (2%)

prune7.0ms (0.1%)

localize14.0ms (0.1%)

rewrite24.0ms (0.2%)

series61.0ms (0.5%)

simplify64.0ms (0.5%)

prune213.0ms (1.8%)

localize16.0ms (0.1%)

rewrite21.0ms (0.2%)

series112.0ms (1%)

simplify41.0ms (0.4%)

prune153.0ms (1.3%)

localize22.0ms (0.2%)

rewrite10.0ms (0.1%)

series202.0ms (1.7%)

simplify43.0ms (0.4%)

prune137.0ms (1.2%)

localize17.0ms (0.1%)

rewrite21.0ms (0.2%)

series62.0ms (0.5%)

simplify69.0ms (0.6%)

prune106.0ms (0.9%)

regimes1.1s (9.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.2s (61.7%)

Profiling