Details

analyze2.4s (9.9%)

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample405.0ms (1.7%)

Algorithm

1×

intervals

Results

149.0ms	35×	body	4096	invalid
68.0ms	125×	body	1024	valid
61.0ms	32×	body	2048	invalid
43.0ms	34×	body	2048	valid
20.0ms	14×	body	4096	valid
14.0ms	39×	body	512	valid
11.0ms	20×	body	1024	invalid
7.0ms	20×	body	512	invalid
4.0ms	16×	body	256	valid
4.0ms	16×	body	256	invalid
4.0ms	28×	body	128	valid
3.0ms	27×	body	128	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5185	32

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

39.5b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
1.7b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
16.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))
25.9b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite78.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

228×	`add-exp-log_binary64_457`
139×	`prod-exp_binary64_468`
52×	`add-cbrt-cube_binary64_455`
51×	`div-exp_binary64_470`
37×	`times-frac_binary64_425`
33×	`add-sqr-sqrt_binary64_441`
32×	`pow-exp_binary64_487`
26×	`cbrt-unprod_binary64_452`
24×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
23×	`unpow-prod-down_binary64_498` `pow-to-exp_binary64_488`
18×	`associate-l_binary64_360`
12×	`associate-/l*_binary64_364`
11×	`pow1_binary64_480`
10×	`associate-*l/_binary64_362` `cube-prod_binary64_447`
8×	`cbrt-undiv_binary64_453`
5×	`unswap-sqr_binary64_387` `sqr-pow_binary64_391`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `tan-quot_binary64_578`
3×	`unpow3_binary64_485` `cube-mult_binary64_449` `div-inv_binary64_416` `*-commutative_binary64_350`
2×	`frac-times_binary64_429` `associate-*r/_binary64_361`
1×	`clear-num_binary64_418` `frac-2neg_binary64_430` `unpow2_binary64_484` `associate-/r*_binary64_363`

Counts

4 → 187

Calls

4 calls:

25.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

series1.3s (5.3%)

Counts

4 → 36

Calls

4 calls:

481.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
466.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
233.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
96.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 1530 to 1324 computations (13.5% saved)

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5178	4711

prune319.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	211	12	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	212	12	224

Error

14.1b

Counts

224 → 12

Compiler

Compiled 5808 to 2939 computations (49.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.1b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
19.8b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite76.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

320×	`add-exp-log_binary64_457`
183×	`prod-exp_binary64_468`
173×	`add-cbrt-cube_binary64_455`
87×	`cbrt-unprod_binary64_452`
82×	`div-exp_binary64_470`
46×	`cbrt-undiv_binary64_453`
23×	`add-sqr-sqrt_binary64_441`
20×	`times-frac_binary64_425`
17×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
15×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
9×	`associate-r_binary64_359` `pow1_binary64_480`
6×	`div-inv_binary64_416` `associate-/r*_binary64_363`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-l_binary64_360` `associate-/l*_binary64_364`
3×	`pow-prod-down_binary64_490`
2×	`clear-num_binary64_418` `sqr-pow_binary64_391` `*-commutative_binary64_350` `frac-2neg_binary64_430` `unpow2_binary64_484`
1×	`associate-/r/_binary64_365`

Counts

4 → 184

Calls

4 calls:

16.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
14.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

series1.2s (4.9%)

Counts

4 → 34

Calls

4 calls:

525.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
424.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
146.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
102.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1266 to 1085 computations (14.3% saved)

simplify124.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5000	5645

prune272.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	208	10	218
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	210	20	230

Error

10.0b

Counts

230 → 20

Compiler

Compiled 5529 to 2568 computations (53.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.6b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
19.8b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite61.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`add-exp-log_binary64_457`
128×	`add-cbrt-cube_binary64_455`
111×	`prod-exp_binary64_468`
61×	`cbrt-unprod_binary64_452`
55×	`div-exp_binary64_470`
37×	`cbrt-undiv_binary64_453`
25×	`add-sqr-sqrt_binary64_441`
20×	`times-frac_binary64_425`
19×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`associate-r_binary64_359` `pow-exp_binary64_487` `pow-to-exp_binary64_488`
7×	`unpow-prod-down_binary64_498`
6×	`div-inv_binary64_416` `associate-/r*_binary64_363`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-/l*_binary64_364`
3×	`sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496` `unpow2_binary64_484`
2×	`clear-num_binary64_418` `frac-2neg_binary64_430`
1×	`associate-/r/_binary64_365` `*-commutative_binary64_350` `pow-pow_binary64_491`

Counts

4 → 154

Calls

4 calls:

15.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
14.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series1.1s (4.4%)

Counts

4 → 31

Calls

4 calls:

523.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
426.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
104.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
25.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1158 to 988 computations (14.7% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4968	4631
1	4968	4631

prune219.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	179	6	185
Fresh	6	13	19
Picked	0	1	1
Done	0	0	0
Total	185	20	205

Error

9.2b

Counts

205 → 20

Compiler

Compiled 4792 to 2367 computations (50.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.9b	(/.f64 k (*.f64 l l))
10.9b	(.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite63.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

208×	`add-exp-log_binary64_457`
133×	`add-cbrt-cube_binary64_455`
94×	`prod-exp_binary64_468`
75×	`div-exp_binary64_470`
52×	`cbrt-unprod_binary64_452`
49×	`cbrt-undiv_binary64_453`
25×	`add-sqr-sqrt_binary64_441`
15×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
13×	`times-frac_binary64_425`
10×	`associate-l_binary64_360`
7×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
6×	`unswap-sqr_binary64_387` `pow1_binary64_480` `associate-/l*_binary64_364`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `div-inv_binary64_416`
3×	`associate-/r/_binary64_365`
2×	`associate-l/_binary64_362` `clear-num_binary64_418` `frac-times_binary64_429` `sqr-pow_binary64_391` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `unpow2_binary64_484` `associate-/r_binary64_363`
1×	`pow-prod-down_binary64_490`

Counts

4 → 158

Calls

4 calls:

14.0ms	(.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
13.0ms	(/.f64 2 (.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(/.f64 k (*.f64 l l))

series1.2s (4.8%)

Counts

4 → 33

Calls

4 calls:

530.0ms	(/.f64 2 (.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
465.0ms	(.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
91.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
74.0ms	(/.f64 k (*.f64 l l))

Compiler

Compiled 1238 to 1063 computations (14.1% saved)

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5024	4354

prune204.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	185	6	191
Fresh	6	12	18
Picked	1	0	1
Done	1	0	1
Total	193	18	211

Error

3.8b

Counts

211 → 18

Compiler

Compiled 4269 to 2015 computations (52.8% saved)

regimes1.1s (4.6%)

Accuracy

Total 4.7b remaining (53.1%)

Threshold costs 0b (0%)

Compiler

Compiled 15882 to 11555 computations (27.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	41
1	22	41

end0.0ms (0%)

sample13.8s (56.8%)

Algorithm

1×

intervals

Results

3.9s	1310×	body	4096	invalid
2.0s	3824×	body	1024	valid
2.0s	1076×	body	2048	invalid
997.0ms	1012×	body	2048	valid
931.0ms	494×	body	4096	valid
514.0ms	1384×	body	512	valid
364.0ms	664×	body	1024	invalid
190.0ms	517×	body	512	invalid
134.0ms	1069×	body	128	invalid
112.0ms	834×	body	128	valid
112.0ms	452×	body	256	valid
78.0ms	313×	body	256	invalid

Compiler

Compiled 2381 to 1735 computations (27.1% saved)

Details

analyze2.4s (9.9%)

sample405.0ms (1.7%)

simplify107.0ms (0.4%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite78.0ms (0.3%)

series1.3s (5.3%)

simplify82.0ms (0.3%)

prune319.0ms (1.3%)

localize14.0ms (0.1%)

rewrite76.0ms (0.3%)

series1.2s (4.9%)

simplify124.0ms (0.5%)

prune272.0ms (1.1%)

localize14.0ms (0.1%)

rewrite61.0ms (0.2%)

series1.1s (4.4%)

simplify115.0ms (0.5%)

prune219.0ms (0.9%)

localize14.0ms (0.1%)

rewrite63.0ms (0.3%)

series1.2s (4.8%)

simplify90.0ms (0.4%)

prune204.0ms (0.8%)

regimes1.1s (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample13.8s (56.8%)

Profiling