Details

analyze2.5s (9%)

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)

sample250.0ms (0.9%)

Algorithm

1×

intervals

Results

50.0ms	52×	body	1024	valid
42.0ms	158×	body	128	valid
40.0ms	41×	body	1024	invalid
31.0ms	4×	body	4096	valid
14.0ms	7×	body	2048	valid
14.0ms	20×	body	512	valid
13.0ms	19×	body	512	invalid
9.0ms	40×	body	128	invalid
7.0ms	15×	body	256	valid
5.0ms	10×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune7.0ms (0%)

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

33.4b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
25.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite86.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
6×	`-un-lft-identity_binary64_419` `associate-l/_binary64_362` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `add-sqr-sqrt_binary64_441`
4×	`add-log-exp_binary64_458` `associate-*r/_binary64_361`
2×	`flip3--_binary64_423` `-commutative_binary64_350` `associate-l*_binary64_360` `flip--_binary64_394`

Counts

4 → 57

Calls

4 calls:

34.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
33.0ms	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series2.0s (7.2%)

Counts

4 → 40

Calls

4 calls:

1.2s	(.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
763.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
50.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
41.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1941 to 1646 computations (15.2% saved)

simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4962	2648
1	4962	2648

prune356.0ms (1.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	76	21	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	21	98

Error

30.4b

Counts

98 → 21

Compiler

Compiled 3205 to 2081 computations (35.1% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.8b	(.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))
25.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite62.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`add-sqr-sqrt_binary64_441`
7×	`-un-lft-identity_binary64_419` `pow-prod-down_binary64_490` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
6×	`associate-*r/_binary64_361`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360`
2×	`associate-l/_binary64_362` `sub-neg_binary64_412` `distribute-rgt-in_binary64_369` `flip3--_binary64_423` `distribute-lft-in_binary64_368` `-commutative_binary64_350` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
1×	`difference-of-squares_binary64_388` `unswap-sqr_binary64_387`

Counts

4 → 62

Calls

4 calls:

27.0ms	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
16.0ms	(.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))
4.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series1.9s (6.8%)

Counts

4 → 40

Calls

4 calls:

1.2s	(.f64 (.f64 2 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
640.0ms	(.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (-.f64 (.f64 b b) (.f64 a a)))
45.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
39.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1929 to 1606 computations (16.7% saved)

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4985	2748
1	4985	2748

prune315.0ms (1.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	99	24	123

Error

20.3b

Counts

123 → 24

Compiler

Compiled 3489 to 2044 computations (41.4% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.4b	(.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (+.f64 b a)) (-.f64 b a))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
25.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite76.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
20×	`pow1_binary64_480`
18×	`add-sqr-sqrt_binary64_441`
17×	`associate-*r/_binary64_361`
16×	`associate-r_binary64_359`
13×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
12×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
11×	`pow-prod-down_binary64_490`
10×	`associate-*l/_binary64_362` `times-frac_binary64_425`
4×	`add-log-exp_binary64_458` `frac-times_binary64_429` `associate-l_binary64_360`
3×	`flip3-+_binary64_422` `flip3--_binary64_423` `flip-+_binary64_393` `flip--_binary64_394`
2×	`unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`div-inv_binary64_416` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 78

Calls

4 calls:

34.0ms	(.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (+.f64 b a)) (-.f64 b a))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
4.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series1.4s (4.9%)

Counts

4 → 27

Calls

4 calls:

1.2s	(.f64 (.f64 2 (.f64 (.f64 (sin.f64 (.f64 PI.f64 (/.f64 angle 180))) (+.f64 b a)) (-.f64 b a))) (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
55.0ms	(*.f64 PI.f64 (/.f64 angle 180))
45.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
38.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1315 to 1066 computations (18.9% saved)

simplify140.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5270	2528

prune380.0ms (1.4%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	87	18	105
Fresh	9	14	23
Picked	1	0	1
Done	0	0	0
Total	97	32	129

Error

19.5b

Counts

129 → 32

Compiler

Compiled 3906 to 2431 computations (37.8% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 angle 180))
0.6b	(cbrt.f64 (/.f64 angle 180))
25.9b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))
26.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_450`
18×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454` `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` `cbrt-div_binary64_451` `div-inv_binary64_416`

Counts

4 → 58

Calls

4 calls:

8.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))
5.0ms	(cbrt.f64 (/.f64 angle 180))
5.0ms	(cbrt.f64 (/.f64 angle 180))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series483.0ms (1.7%)

Counts

4 → 14

Calls

4 calls:

180.0ms	(cbrt.f64 (/.f64 angle 180))
167.0ms	(cbrt.f64 (/.f64 angle 180))
85.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))
50.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 912 to 764 computations (16.2% saved)

simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4949	916
1	4949	916

prune253.0ms (0.9%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	61	11	72
Fresh	3	28	31
Picked	1	0	1
Done	0	0	0
Total	65	39	104

Error

19.3b

Counts

104 → 39

Compiler

Compiled 2695 to 1786 computations (33.7% saved)

regimes5.1s (18.2%)

Accuracy

Total 3.1b remaining (14.7%)

Threshold costs 0b (0%)

Compiler

Compiled 34331 to 27772 computations (19.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	57
1	42	57

end0.0ms (0%)

sample12.0s (42.9%)

Algorithm

1×

intervals

Results

1.4s	1433×	body	1024	valid
1.2s	5237×	body	128	valid
1.2s	1197×	body	1024	invalid
594.0ms	86×	body	4096	valid
513.0ms	688×	body	512	valid
411.0ms	588×	body	512	invalid
346.0ms	181×	body	2048	valid
301.0ms	1283×	body	128	invalid
177.0ms	375×	body	256	valid
144.0ms	304×	body	256	invalid

Compiler

Compiled 2918 to 2349 computations (19.5% saved)

Details

analyze2.5s (9%)

sample250.0ms (0.9%)

simplify117.0ms (0.4%)

prune7.0ms (0%)

localize30.0ms (0.1%)

rewrite86.0ms (0.3%)

series2.0s (7.2%)

simplify131.0ms (0.5%)

prune356.0ms (1.3%)

localize30.0ms (0.1%)

rewrite62.0ms (0.2%)

series1.9s (6.8%)

simplify145.0ms (0.5%)

prune315.0ms (1.1%)

localize31.0ms (0.1%)

rewrite76.0ms (0.3%)

series1.4s (4.9%)

simplify140.0ms (0.5%)

prune380.0ms (1.4%)

localize39.0ms (0.1%)

rewrite39.0ms (0.1%)

series483.0ms (1.7%)

simplify126.0ms (0.5%)

prune253.0ms (0.9%)

regimes5.1s (18.2%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample12.0s (42.9%)

Profiling