Details

analyze1.3s (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4956	148
1	4956	148
0	3	3
1	3	3

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
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample130.0ms (1.1%)

Algorithm

1×

intervals

Results

31.0ms	56×	body	1024	valid
21.0ms	43×	body	1024	invalid
16.0ms	143×	body	128	valid
12.0ms	3×	body	4096	valid
11.0ms	32×	body	512	valid
8.0ms	21×	body	512	invalid
5.0ms	46×	body	128	invalid
5.0ms	6×	body	2048	valid
4.0ms	16×	body	256	valid
3.0ms	12×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

33.7b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.3b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_441`
16×	`difference-of-squares_binary64_388`
13×	`unpow-prod-down_binary64_498`
11×	`*-un-lft-identity_binary64_419`
9×	`sqr-pow_binary64_391` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `unpow2_binary64_484` `pow1_binary64_480`
8×	`cancel-sign-sub-inv_binary64_385`
7×	`add-cube-cbrt_binary64_454`
6×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `associate-r_binary64_359` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`associate-l/_binary64_362` `flip3--_binary64_423` `associate-r/_binary64_361` `distribute-lft-out--_binary64_371` `flip--_binary64_394`
1×	`sub-neg_binary64_412` `-commutative_binary64_350` `associate-l*_binary64_360` `diff-log_binary64_511`

Counts

4 → 71

Calls

4 calls:

14.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series159.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune156.0ms (1.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	62	21	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	21	84

Error

31.4b

Counts

84 → 21

Compiler

Compiled 2868 to 1907 computations (33.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 b b) (.f64 a a))
7.1b	(.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_441`
6×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`associate-r_binary64_359`
3×	`sub-neg_binary64_412` `associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385`
2×	`difference-of-squares_binary64_388` `distribute-rgt-in_binary64_369` `flip3--_binary64_423` `associate-*r/_binary64_361` `distribute-lft-in_binary64_368` `flip--_binary64_394`
1×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `diff-log_binary64_511`

Counts

4 → 52

Calls

4 calls:

8.0ms	(.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series151.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))
21.0ms	(-.f64 (.f64 b b) (.f64 a a))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
12.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5174	1225

prune124.0ms (1.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	61	24	85

Error

24.3b

Counts

85 → 24

Compiler

Compiled 2594 to 1601 computations (38.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-r_binary64_359`
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-l_binary64_360`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`pow-prod-down_binary64_490` `div-inv_binary64_416` `associate-r/_binary64_361` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 78

Calls

4 calls:

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

series61.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune195.0ms (1.7%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	71	19	90
Fresh	8	15	23
Picked	1	0	1
Done	0	0	0
Total	80	34	114

Error

22.4b

Counts

114 → 34

Compiler

Compiled 3588 to 2307 computations (35.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 angle)
0.5b	(cbrt.f64 angle)
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.2b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 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 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cbrt.f64 angle)
1.0ms	(cbrt.f64 angle)

series200.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt.f64 angle)
75.0ms	(cbrt.f64 angle)
34.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
11.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4882	481
1	4882	481

prune81.0ms (0.7%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	37	11	48
Fresh	3	30	33
Picked	1	0	1
Done	0	0	0
Total	41	41	82

Error

22.3b

Counts

82 → 41

Compiler

Compiled 1740 to 985 computations (43.4% saved)

regimes2.5s (21.9%)

Accuracy

Total 3.8b remaining (17.4%)

Threshold costs 0b (0%)

Compiler

Compiled 32460 to 26134 computations (19.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	72
1	47	72

end0.0ms (0%)

sample5.9s (51.8%)

Algorithm

1×

intervals

Results

758.0ms	1493×	body	1024	valid
619.0ms	1248×	body	1024	invalid
603.0ms	5060×	body	128	valid
302.0ms	82×	body	4096	valid
300.0ms	787×	body	512	valid
211.0ms	587×	body	512	invalid
168.0ms	166×	body	2048	valid
162.0ms	1335×	body	128	invalid
105.0ms	411×	body	256	valid
76.0ms	326×	body	256	invalid
10.0ms	1×	body	8192	valid

Compiler

Compiled 2826 to 2252 computations (20.3% saved)

Details

analyze1.3s (11.1%)

sample130.0ms (1.1%)

simplify56.0ms (0.5%)

prune7.0ms (0.1%)

localize15.0ms (0.1%)

rewrite33.0ms (0.3%)

series159.0ms (1.4%)

simplify64.0ms (0.6%)

prune156.0ms (1.4%)

localize14.0ms (0.1%)

rewrite19.0ms (0.2%)

series151.0ms (1.3%)

simplify59.0ms (0.5%)

prune124.0ms (1.1%)

localize14.0ms (0.1%)

rewrite25.0ms (0.2%)

series61.0ms (0.5%)

simplify82.0ms (0.7%)

prune195.0ms (1.7%)

localize25.0ms (0.2%)

rewrite10.0ms (0.1%)

series200.0ms (1.7%)

simplify61.0ms (0.5%)

prune81.0ms (0.7%)

regimes2.5s (21.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.9s (51.8%)

Profiling