Details

analyze3.5s (14.4%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
31.2%	68.6%	0.1%	8
31.2%	56.2%	12.6%	9
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14
49.7%	37.1%	13.2%	14

Compiler

Compiled 44 to 40 computations (9.1% saved)

sample1.9s (7.7%)

Algorithm

2×

intervals

Results

98.0ms	105×	body	1024	valid
78.0ms	82×	body	1024	invalid
45.0ms	329×	body	128	valid
31.0ms	45×	body	512	invalid
26.0ms	44×	body	512	valid
22.0ms	139×	body	128	invalid
16.0ms	12×	body	2048	valid
7.0ms	22×	body	256	valid
7.0ms	18×	body	256	invalid

Compiler

Compiled 9019 to 9426 computations (-4.5% saved)

simplify140.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

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

20.8b

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)
24.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.9b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite194.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

19.9b

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:

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))

Compiler

Compiled 2162 to 1537 computations (28.9% saved)

series204.0ms (0.8%)

Error

20.1b

Counts

4 → 18

Calls

4 calls:

45.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
43.0ms	(*.f64 (/.f64 angle 180) PI.f64)
43.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
42.0ms	(*.f64 (/.f64 angle 180) PI.f64)

Compiler

Compiled 1158 to 953 computations (17.7% saved)

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4922	1203
1	4922	1203

prune245.0ms (1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	73	23	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	23	97

Error

19.5b

Counts

97 → 23

Compiler

Compiled 3177 to 2358 computations (25.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
24.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite159.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

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)))
4.0ms	(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)

series564.0ms (2.3%)

Error

19.5b

Counts

4 → 27

Calls

4 calls:

242.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
192.0ms	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
45.0ms	(*.f64 (/.f64 angle 180) PI.f64)
38.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1574 to 1350 computations (14.2% saved)

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4954	1676
1	4954	1676

prune227.0ms (0.9%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	80	22	102
Fresh	13	9	22
Picked	1	0	1
Done	0	0	0
Total	94	31	125

Error

19.3b

Counts

125 → 31

Compiler

Compiled 3035 to 2341 computations (22.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 angle (sqrt.f64 180))
0.4b	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
0.4b	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
24.7b	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))

rewrite383.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

19.1b

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:

14.0ms	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
10.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
4.0ms	(/.f64 angle (sqrt.f64 180))
3.0ms	(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)

series389.0ms (1.6%)

Error

19.2b

Counts

4 → 15

Calls

4 calls:

121.0ms	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
89.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
81.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
68.0ms	(/.f64 angle (sqrt.f64 180))

Compiler

Compiled 1005 to 914 computations (9.1% saved)

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4959	2028
1	4959	2028

prune385.0ms (1.6%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	145	12	157
Fresh	5	25	30
Picked	1	0	1
Done	0	0	0
Total	151	37	188

Error

19.1b

Counts

188 → 37

Compiler

Compiled 5047 to 4046 computations (19.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

23.7b	(cbrt.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
24.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite117.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

19.1b

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:

5.0ms	(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)

series891.0ms (3.7%)

Error

19.1b

Counts

4 → 27

Calls

4 calls:

645.0ms	(cbrt.f64 (pow.f64 (.f64 a (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
54.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
53.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
48.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3489 to 2826 computations (19% saved)

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4914	1450
1	4914	1450

prune193.0ms (0.8%)

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	4	32	36
Picked	1	0	1
Done	0	0	0
Total	59	40	99

Error

19.1b

Counts

99 → 40

Compiler

Compiled 3054 to 2285 computations (25.2% saved)

regimes3.2s (13.2%)

Accuracy

Total 1.5b remaining (7.2%)

Threshold costs 0b (0%)

Compiler

Compiled 34114 to 30494 computations (10.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample11.2s (46.3%)

Algorithm

1×

intervals

Results

1.5s	1588×	body	1024	valid
1.2s	1366×	body	1024	invalid
637.0ms	5001×	body	128	valid
495.0ms	819×	body	512	valid
417.0ms	674×	body	512	invalid
285.0ms	2301×	body	128	invalid
272.0ms	198×	body	2048	valid
126.0ms	352×	body	256	invalid
125.0ms	389×	body	256	valid
23.0ms	5×	body	4096	valid

Compiler

Compiled 5711 to 5106 computations (10.6% saved)

Details

analyze3.5s (14.4%)

sample1.9s (7.7%)

simplify140.0ms (0.6%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite194.0ms (0.8%)

series204.0ms (0.8%)

simplify86.0ms (0.4%)

prune245.0ms (1%)

localize16.0ms (0.1%)

rewrite159.0ms (0.7%)

series564.0ms (2.3%)

simplify71.0ms (0.3%)

prune227.0ms (0.9%)

localize20.0ms (0.1%)

rewrite383.0ms (1.6%)

series389.0ms (1.6%)

simplify76.0ms (0.3%)

prune385.0ms (1.6%)

localize18.0ms (0.1%)

rewrite117.0ms (0.5%)

series891.0ms (3.7%)

simplify89.0ms (0.4%)

prune193.0ms (0.8%)

regimes3.2s (13.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample11.2s (46.3%)

Profiling