Details

analyze2.5s (6.8%)

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)

sample450.0ms (1.2%)

Algorithm

1×

intervals

Results

163.0ms	38×	body	4096	invalid
98.0ms	49×	body	2048	invalid
73.0ms	127×	body	1024	valid
31.0ms	30×	body	2048	valid
18.0ms	48×	body	512	valid
14.0ms	10×	body	4096	valid
13.0ms	25×	body	1024	invalid
4.0ms	30×	body	128	invalid
4.0ms	28×	body	128	valid
4.0ms	15×	body	256	invalid
3.0ms	13×	body	256	valid
3.0ms	8×	body	512	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify113.0ms (0.3%)

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

40.9b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
1.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
13.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
28.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite373.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

25.5b

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×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
23×	`pow-to-exp_binary64_488` `unpow-prod-down_binary64_498`
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×	`sqr-pow_binary64_391` `unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `tan-quot_binary64_578` `pow-prod-down_binary64_490`
3×	`div-inv_binary64_416` `*-commutative_binary64_350` `unpow3_binary64_485` `cube-mult_binary64_449`
2×	`frac-times_binary64_429` `associate-*r/_binary64_361`
1×	`unpow2_binary64_484` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`

Counts

4 → 187

Calls

4 calls:

20.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
11.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
10.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5495 to 2635 computations (52% saved)

series1.3s (3.6%)

Error

21.7b

Counts

4 → 38

Calls

4 calls:

507.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
408.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
254.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
100.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2459 to 1924 computations (21.8% saved)

simplify96.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5075	4845

prune298.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	211	14	225
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	212	14	226

Error

16.3b

Counts

226 → 14

Compiler

Compiled 5908 to 3021 computations (48.9% saved)

localize15.0ms (0%)

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))))
0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.7b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
19.4b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite337.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

10.3b

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×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
15×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
9×	`pow1_binary64_480` `associate-r_binary64_359`
6×	`div-inv_binary64_416` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `associate-/l_binary64_364` `associate-l*_binary64_360` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `*-commutative_binary64_350` `unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`associate-/r/_binary64_365`

Counts

4 → 184

Calls

4 calls:

15.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
13.0ms	(/.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))

Compiler

Compiled 6000 to 2263 computations (62.3% saved)

series1.3s (3.5%)

Error

16.2b

Counts

4 → 42

Calls

4 calls:

522.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
446.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
156.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
96.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2378 to 1790 computations (24.7% saved)

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4996	6040
1	4996	6040

prune276.0ms (0.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	218	8	226
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	224	16	240

Error

12.0b

Counts

240 → 16

Compiler

Compiled 5723 to 2626 computations (54.1% saved)

localize15.0ms (0%)

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))))
0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
19.4b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite269.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

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×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-r_binary64_359`
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` `associate-/l*_binary64_364` `unswap-sqr_binary64_387`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`*-commutative_binary64_350` `associate-/r/_binary64_365` `pow-pow_binary64_491`

Counts

4 → 154

Calls

4 calls:

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

Compiler

Compiled 4970 to 2137 computations (57% saved)

series1.2s (3.2%)

Error

12.0b

Counts

4 → 39

Calls

4 calls:

552.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
442.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
110.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
26.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2215 to 1673 computations (24.5% saved)

simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4974	4951
1	4974	4951

prune236.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	186	7	193
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	191	18	209

Error

11.2b

Counts

209 → 18

Compiler

Compiled 5036 to 2384 computations (52.7% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))))
0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.3b	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
15.2b	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite812.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

476×	`times-frac_binary64_425`
208×	`add-exp-log_binary64_457`
172×	`add-sqr-sqrt_binary64_441`
166×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
133×	`add-cbrt-cube_binary64_455`
106×	`div-exp_binary64_470`
70×	`cbrt-undiv_binary64_453`
63×	`prod-exp_binary64_468`
60×	`associate-/r*_binary64_363`
41×	`div-inv_binary64_416`
31×	`cbrt-unprod_binary64_452`
23×	`associate-/r/_binary64_365`
8×	`associate-r_binary64_359`
7×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-/l*_binary64_364`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387`
3×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-l_binary64_360`
2×	`unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`*-commutative_binary64_350`

Counts

4 → 359

Calls

4 calls:

19.0ms	(/.f64 2 (/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))))
13.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
10.0ms	(/.f64 (.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))

Compiler

Compiled 12183 to 5929 computations (51.3% saved)

series1.6s (4.4%)

Error

11.2b

Counts

4 → 45

Calls

4 calls:

545.0ms	(/.f64 2 (/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))))
460.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
442.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
100.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2569 to 1971 computations (23.3% saved)

simplify143.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

404 → 404

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5135	14687

prune658.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	390	14	404
Fresh	11	6	17
Picked	1	0	1
Done	0	0	0
Total	402	20	422

Error

2.0b

Counts

422 → 20

Compiler

Compiled 11697 to 5531 computations (52.7% saved)

regimes4.4s (12.1%)

Accuracy

Total 2.0b remaining (46%)

Threshold costs 0b (0%)

Compiler

Compiled 59610 to 44189 computations (25.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	32
1	22	32

end0.0ms (0%)

sample20.0s (54.5%)

Algorithm

1×

intervals

Results

3.9s	1213×	body	4096	invalid
2.1s	3887×	body	1024	valid
2.1s	1084×	body	2048	invalid
1.0s	1028×	body	2048	valid
917.0ms	460×	body	4096	valid
529.0ms	1379×	body	512	valid
400.0ms	669×	body	1024	invalid
190.0ms	499×	body	512	invalid
129.0ms	1031×	body	128	invalid
121.0ms	458×	body	256	valid
103.0ms	788×	body	128	valid
87.0ms	321×	body	256	invalid

Compiler

Compiled 9226 to 6851 computations (25.7% saved)

Details

analyze2.5s (6.8%)

sample450.0ms (1.2%)

simplify113.0ms (0.3%)

prune5.0ms (0%)

localize17.0ms (0%)

rewrite373.0ms (1%)

series1.3s (3.6%)

simplify96.0ms (0.3%)

prune298.0ms (0.8%)

localize15.0ms (0%)

rewrite337.0ms (0.9%)

series1.3s (3.5%)

simplify122.0ms (0.3%)

prune276.0ms (0.8%)

localize15.0ms (0%)

rewrite269.0ms (0.7%)

series1.2s (3.2%)

simplify100.0ms (0.3%)

prune236.0ms (0.6%)

localize18.0ms (0%)

rewrite812.0ms (2.2%)

series1.6s (4.4%)

simplify143.0ms (0.4%)

prune658.0ms (1.8%)

regimes4.4s (12.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample20.0s (54.5%)

Profiling