Details

analyze1.6s (14.2%)

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)

sample173.0ms (1.6%)

Algorithm

1×

intervals

Results

50.0ms	58×	body	1024	invalid
42.0ms	46×	body	1024	valid
20.0ms	164×	body	128	valid
17.0ms	31×	body	512	valid
13.0ms	22×	body	512	invalid
8.0ms	6×	body	2048	valid
4.0ms	10×	body	256	invalid
3.0ms	9×	body	256	valid
2.0ms	15×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify251.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

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

Error

19.7b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize13.0ms (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)
24.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.2b	(sin.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:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series66.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.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))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5021	1051

prune206.0ms (1.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	64	26	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	26	91

Error

18.7b

Counts

91 → 26

Compiler

Compiled 3112 to 2332 computations (25.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)
24.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.4b	(cos.f64 (.f64 (.f64 (/.f64 angle 180) (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (cbrt.f64 PI.f64)))

rewrite11.0ms (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 angle 180) (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (cbrt.f64 PI.f64)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

series27.0ms (0.2%)

Counts

4 → 8

Calls

4 calls:

14.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
12.0ms	(cos.f64 (.f64 (.f64 (/.f64 angle 180) (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (cbrt.f64 PI.f64)))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4946	494
1	4946	494

prune114.0ms (1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	2	23	25
Picked	1	0	1
Done	0	0	0
Total	44	26	70

Error

18.6b

Counts

70 → 26

Compiler

Compiled 2146 to 1502 computations (30% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)
24.1b	(cos.f64 (.f64 (.f64 (/.f64 angle 180) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))
24.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite12.0ms (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:

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

series26.0ms (0.2%)

Counts

4 → 8

Calls

4 calls:

13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms	(cos.f64 (.f64 (.f64 (/.f64 angle 180) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5000	660

prune125.0ms (1.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	1	24	25
Picked	0	1	1
Done	0	0	0
Total	41	29	70

Error

18.5b

Counts

70 → 29

Compiler

Compiled 2545 to 1616 computations (36.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.0b	(pow.f64 (cbrt.f64 PI.f64) 2)
24.0b	(cos.f64 (.f64 (pow.f64 (cbrt.f64 PI.f64) 2) (.f64 (/.f64 angle 180) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))))))
24.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_441`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
6×	`unpow-prod-down_binary64_498` `pow1_binary64_480`
5×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`cbrt-prod_binary64_450` `pow-unpow_binary64_496` `sqrt-prod_binary64_435`
2×	`pow-pow_binary64_491`
1×	`pow1/3_binary64_501` `pow1/2_binary64_499` `pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `sqrt-pow1_binary64_437` `unpow2_binary64_484` `rem-sqrt-square_binary64_432`

Counts

4 → 49

Calls

4 calls:

4.0ms	(cos.f64 (.f64 (pow.f64 (cbrt.f64 PI.f64) 2) (.f64 (/.f64 angle 180) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))))))
3.0ms	(pow.f64 (cbrt.f64 PI.f64) 2)
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0ms	(sqrt.f64 PI.f64)

series24.0ms (0.2%)

Counts

4 → 8

Calls

4 calls:

13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms	(cos.f64 (.f64 (pow.f64 (cbrt.f64 PI.f64) 2) (.f64 (/.f64 angle 180) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))))))
0.0ms	(pow.f64 (cbrt.f64 PI.f64) 2)
0.0ms	(sqrt.f64 PI.f64)

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4999	807
1	4999	807

prune106.0ms (1%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	4	23	27
Picked	1	0	1
Done	1	0	1
Total	57	29	86

Error

18.5b

Counts

86 → 29

Compiler

Compiled 2124 to 1339 computations (37% saved)

regimes968.0ms (8.7%)

Accuracy

Total 1.1b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 13113 to 10877 computations (17.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	50
1	29	50

end0.0ms (0%)

sample7.0s (63.4%)

Algorithm

1×

intervals

Results

1.4s	1570×	body	1024	valid
1.2s	1365×	body	1024	invalid
620.0ms	5019×	body	128	valid
458.0ms	803×	body	512	valid
390.0ms	668×	body	512	invalid
278.0ms	202×	body	2048	valid
128.0ms	402×	body	256	valid
123.0ms	336×	body	256	invalid
78.0ms	569×	body	128	invalid
18.0ms	4×	body	4096	valid

Compiler

Compiled 2154 to 1785 computations (17.1% saved)

Details

analyze1.6s (14.2%)

sample173.0ms (1.6%)

simplify251.0ms (2.3%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite24.0ms (0.2%)

series66.0ms (0.6%)

simplify64.0ms (0.6%)

prune206.0ms (1.9%)

localize19.0ms (0.2%)

rewrite11.0ms (0.1%)

series27.0ms (0.2%)

simplify73.0ms (0.7%)

prune114.0ms (1%)

localize24.0ms (0.2%)

rewrite12.0ms (0.1%)

series26.0ms (0.2%)

simplify56.0ms (0.5%)

prune125.0ms (1.1%)

localize25.0ms (0.2%)

rewrite16.0ms (0.1%)

series24.0ms (0.2%)

simplify60.0ms (0.5%)

prune106.0ms (1%)

regimes968.0ms (8.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.0s (63.4%)

Profiling