Details

analyze1.6s (13.2%)

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)

sample168.0ms (1.4%)

Algorithm

1×

intervals

Results

45.0ms	51×	body	1024	invalid
38.0ms	44×	body	1024	valid
20.0ms	167×	body	128	valid
17.0ms	27×	body	512	invalid
15.0ms	26×	body	512	valid
12.0ms	7×	body	2048	valid
4.0ms	12×	body	256	valid
3.0ms	7×	body	256	invalid
1.0ms	12×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify247.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5252	34

prune3.0ms (0%)

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: 18.5b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 angle 180) PI.f64)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
22.5b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
22.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite25.0ms (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:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
7.0ms	(*.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))

series62.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (/.f64 angle 180) PI.f64)
19.0ms	(*.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))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5021	1051

prune204.0ms (1.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	65	25	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	25	91

Merged error: 17.7b

Counts

91 → 25

Compiler

Compiled 3084 to 2314 computations (25% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
22.2b	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
22.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite22.0ms (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:

7.0ms	(*.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))

series116.0ms (1%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
19.0ms	(*.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))

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4988	1040
1	4988	1040

prune156.0ms (1.3%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	3	21	24
Picked	0	1	1
Done	0	0	0
Total	73	28	101

Merged error: 17.6b

Counts

101 → 28

Compiler

Compiled 2769 to 2113 computations (23.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
0.6b	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
22.5b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
22.6b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64)) (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64))) (cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
2×	`associate-*l/_binary64_362` `pow1/3_binary64_501` `cbrt-div_binary64_451` `cbrt-prod_binary64_450`

Counts

4 → 34

Calls

4 calls:

5.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64)) (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64))) (cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))))
4.0ms	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series292.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
120.0ms	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
34.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64)) (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64))) (cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))))
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4907	612
1	4907	612

prune144.0ms (1.2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	38	8	46
Fresh	3	23	26
Picked	1	0	1
Done	0	1	1
Total	42	32	74

Merged error: 17.5b

Counts

74 → 32

Compiler

Compiled 2725 to 2107 computations (22.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0b	(cbrt.f64 PI.f64)
22.4b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64)) (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64))) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 PI.f64))))
22.5b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`add-log-exp_binary64_458` `cbrt-prod_binary64_450` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
2×	`pow1/3_binary64_501`
1×	`associate-*l/_binary64_362` `cbrt-div_binary64_451`

Counts

4 → 35

Calls

4 calls:

5.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64)) (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64))) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 PI.f64))))
4.0ms	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0ms	(cbrt.f64 PI.f64)

series167.0ms (1.4%)

Counts

4 → 10

Calls

4 calls:

116.0ms	(cbrt.f64 (*.f64 (/.f64 angle 180) PI.f64))
36.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64)) (cbrt.f64 (.f64 (/.f64 angle 180) PI.f64))) (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 PI.f64))))
15.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
0.0ms	(cbrt.f64 PI.f64)

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4946	781
1	4946	781

prune96.0ms (0.8%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	3	27	30
Picked	1	0	1
Done	0	1	1
Total	43	34	77

Merged error: 17.5b

Counts

77 → 34

Compiler

Compiled 1854 to 1314 computations (29.1% saved)

regimes1.1s (8.9%)

Compiler: Compiled 14495 to 12384 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	72
1	30	72

end0.0ms (0%)

sample7.2s (60.6%)

Algorithm

1×

intervals

Results

1.4s	1615×	body	1024	valid
1.3s	1353×	body	1024	invalid
645.0ms	4998×	body	128	valid
461.0ms	804×	body	512	valid
427.0ms	704×	body	512	invalid
236.0ms	181×	body	2048	valid
133.0ms	401×	body	256	valid
122.0ms	341×	body	256	invalid
78.0ms	575×	body	128	invalid
5.0ms	1×	body	4096	valid

Compiler

Compiled 2321 to 1978 computations (14.8% saved)

Details

analyze1.6s (13.2%)

sample168.0ms (1.4%)

simplify247.0ms (2.1%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite25.0ms (0.2%)

series62.0ms (0.5%)

simplify65.0ms (0.5%)

prune204.0ms (1.7%)

localize17.0ms (0.1%)

rewrite22.0ms (0.2%)

series116.0ms (1%)

simplify43.0ms (0.4%)

prune156.0ms (1.3%)

localize19.0ms (0.2%)

rewrite19.0ms (0.2%)

series292.0ms (2.4%)

simplify90.0ms (0.8%)

prune144.0ms (1.2%)

localize25.0ms (0.2%)

rewrite16.0ms (0.1%)

series167.0ms (1.4%)

simplify40.0ms (0.3%)

prune96.0ms (0.8%)

regimes1.1s (8.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.2s (60.6%)

Profiling