Details

analyze2.7s (9.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4958	136
1	4958	136
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
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)

sample213.0ms (0.8%)

Algorithm

1×

intervals

Results

64.0ms	56×	body	1024	valid
41.0ms	35×	body	1024	invalid
23.0ms	153×	body	128	valid
21.0ms	27×	body	512	invalid
21.0ms	31×	body	512	valid
11.0ms	6×	body	2048	valid
5.0ms	10×	body	256	invalid
4.0ms	10×	body	256	valid
2.0ms	9×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify206.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (200.0ms)

Iter	Nodes	Cost
0	5252	34

prune4.0ms (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

21.6b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize31.0ms (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)
25.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite256.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

20.6b

Rules

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

Counts

4 → 78

Calls

4 calls:

11.0ms	(*.f64 (/.f64 angle 180) PI.f64)
8.0ms	(*.f64 (/.f64 angle 180) PI.f64)
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 2162 to 1537 computations (28.9% saved)

series212.0ms (0.7%)

Error

20.8b

Counts

4 → 16

Calls

4 calls:

49.0ms	(*.f64 (/.f64 angle 180) PI.f64)
48.0ms	(*.f64 (/.f64 angle 180) PI.f64)
41.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1030 to 849 computations (17.6% saved)

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4933	1121
1	4933	1121

prune270.0ms (1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	71	23	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	23	95

Error

20.3b

Counts

95 → 23

Compiler

Compiled 3112 to 2261 computations (27.3% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
25.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite205.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

20.2b

Rules

22×	`add-sqr-sqrt_binary64_441`
16×	`associate-l_binary64_360`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
14×	`add-exp-log_binary64_457`
11×	`pow1_binary64_480` `add-cbrt-cube_binary64_455`
10×	`times-frac_binary64_425`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `prod-exp_binary64_468`
3×	`pow-prod-down_binary64_490` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350` `pow-pow_binary64_491` `pow-exp_binary64_487`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-*l/_binary64_362` `div-inv_binary64_416` `unpow-prod-down_binary64_498` `pow-to-exp_binary64_488` `unpow2_binary64_484` `sqr-pow_binary64_391`

Counts

4 → 75

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1716 to 1286 computations (25.1% saved)

series502.0ms (1.8%)

Error

20.3b

Counts

4 → 27

Calls

4 calls:

197.0ms	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
190.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
40.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.0ms	(*.f64 (/.f64 angle 180) PI.f64)

Compiler

Compiled 1574 to 1350 computations (14.2% saved)

simplify121.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4954	1676
1	4954	1676

prune313.0ms (1.1%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	86	16	102
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	91	34	125

Error

20.3b

Counts

125 → 34

Compiler

Compiled 3126 to 2410 computations (22.9% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 angle (sqrt.f64 180))
0.3b	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
0.4b	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
25.2b	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))

rewrite489.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

20.1b

Rules

56×	`times-frac_binary64_425`
54×	`add-sqr-sqrt_binary64_441`
50×	`add-exp-log_binary64_457`
46×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
32×	`add-cbrt-cube_binary64_455`
31×	`sqrt-prod_binary64_435`
25×	`associate-l_binary64_360`
23×	`associate-r_binary64_359`
22×	`prod-exp_binary64_468`
12×	`div-exp_binary64_470` `cbrt-unprod_binary64_452`
11×	`pow1_binary64_480`
7×	`cbrt-undiv_binary64_453`
6×	`associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `pow-prod-down_binary64_490` `associate-*r/_binary64_361`
3×	`unswap-sqr_binary64_387` `div-inv_binary64_416` `1-exp_binary64_463` `rec-exp_binary64_469` `associate-/l*_binary64_364`
2×	`*-commutative_binary64_350`
1×	`frac-times_binary64_429` `associate-*l/_binary64_362` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

4 → 142

Calls

4 calls:

27.0ms	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
19.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
8.0ms	(/.f64 angle (sqrt.f64 180))
5.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))

Compiler

Compiled 4291 to 3486 computations (18.8% saved)

series361.0ms (1.3%)

Error

20.3b

Counts

4 → 15

Calls

4 calls:

97.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
90.0ms	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
78.0ms	(/.f64 angle (sqrt.f64 180))
75.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))

Compiler

Compiled 1005 to 914 computations (9.1% saved)

simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4959	2028
1	4959	2028

prune456.0ms (1.6%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	150	7	157
Fresh	5	28	33
Picked	1	0	1
Done	0	0	0
Total	156	35	191

Error

20.2b

Counts

191 → 35

Compiler

Compiled 4964 to 3959 computations (20.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.5b	(cbrt.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
25.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite124.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

20.2b

Rules

6×	`cbrt-prod_binary64_450`
5×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
1×	`pow1/3_binary64_501` `unpow-prod-down_binary64_498` `unpow2_binary64_484` `sqr-pow_binary64_391`

Counts

4 → 35

Calls

4 calls:

3.0ms	(cbrt.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1727 to 1321 computations (23.5% saved)

series879.0ms (3.1%)

Error

20.2b

Counts

4 → 27

Calls

4 calls:

612.0ms	(cbrt.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
52.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
42.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
41.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3489 to 2826 computations (19% saved)

simplify150.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4914	1450
1	4914	1450

prune250.0ms (0.9%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	4	30	34
Picked	1	0	1
Done	0	0	0
Total	62	35	97

Error

20.1b

Counts

97 → 35

Compiler

Compiled 3054 to 2285 computations (25.2% saved)

regimes4.3s (15.1%)

Accuracy

Total 1.6b remaining (7.7%)

Threshold costs 0b (0%)

Compiler

Compiled 37455 to 33361 computations (10.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	22
1	22	22

end0.0ms (0%)

sample16.0s (56.5%)

Algorithm

1×

intervals

Results

2.1s	1619×	body	1024	valid
1.8s	1340×	body	1024	invalid
906.0ms	4984×	body	128	valid
895.0ms	819×	body	512	valid
621.0ms	703×	body	512	invalid
383.0ms	183×	body	2048	valid
186.0ms	360×	body	256	invalid
184.0ms	394×	body	256	valid
105.0ms	582×	body	128	invalid
9.0ms	1×	body	4096	valid

Compiler

Compiled 5763 to 5138 computations (10.8% saved)

Details

analyze2.7s (9.6%)

sample213.0ms (0.8%)

simplify206.0ms (0.7%)

prune4.0ms (0%)

localize31.0ms (0.1%)

rewrite256.0ms (0.9%)

series212.0ms (0.7%)

simplify112.0ms (0.4%)

prune270.0ms (1%)

localize12.0ms (0%)

rewrite205.0ms (0.7%)

series502.0ms (1.8%)

simplify121.0ms (0.4%)

prune313.0ms (1.1%)

localize30.0ms (0.1%)

rewrite489.0ms (1.7%)

series361.0ms (1.3%)

simplify105.0ms (0.4%)

prune456.0ms (1.6%)

localize19.0ms (0.1%)

rewrite124.0ms (0.4%)

series879.0ms (3.1%)

simplify150.0ms (0.5%)

prune250.0ms (0.9%)

regimes4.3s (15.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample16.0s (56.5%)

Profiling