Details

analyze2.4s (6.7%)

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)

sample485.0ms (1.3%)

Algorithm

1×

intervals

Results

226.0ms	54×	body	4096	invalid
64.0ms	126×	body	1024	valid
63.0ms	31×	body	2048	invalid
36.0ms	18×	body	4096	valid
21.0ms	24×	body	2048	valid
16.0ms	45×	body	512	valid
14.0ms	22×	body	1024	invalid
6.0ms	16×	body	512	invalid
6.0ms	48×	body	128	invalid
4.0ms	32×	body	128	valid
3.0ms	14×	body	256	invalid
3.0ms	11×	body	256	valid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

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

43.7b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
1.5b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
17.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))
31.1b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite388.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

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))
12.0ms	(.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))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5495 to 2635 computations (52% saved)

series1.4s (3.8%)

Error

25.7b

Counts

4 → 42

Calls

4 calls:

487.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
465.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
259.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
96.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2770 to 2163 computations (21.9% saved)

simplify107.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5197	5095

prune310.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	218	11	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	11	230

Error

20.9b

Counts

230 → 11

Compiler

Compiled 6040 to 3092 computations (48.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
2.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.9b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
22.7b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite332.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

15.2b

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:

17.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
16.0ms	(/.f64 2 (/.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 (3.6%)

Error

20.9b

Counts

4 → 42

Calls

4 calls:

545.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
447.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
152.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
97.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2378 to 1790 computations (24.7% saved)

simplify128.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4996	6040
1	4996	6040

prune289.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	215	11	226
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	218	19	237

Error

17.1b

Counts

237 → 19

Compiler

Compiled 5761 to 2671 computations (53.6% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.7b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
2.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
22.7b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite278.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

14.4b

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:

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

series1.1s (3.2%)

Error

17.1b

Counts

4 → 39

Calls

4 calls:

531.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
441.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
106.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
30.0ms	(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

prune386.0ms (1.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	186	7	193
Fresh	6	12	18
Picked	1	0	1
Done	0	0	0
Total	193	19	212

Error

16.1b

Counts

212 → 19

Compiler

Compiled 5060 to 2409 computations (52.4% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 2 (/.f64 k (*.f64 l l)))
2.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
10.3b	(/.f64 k (*.f64 l l))
16.0b	(/.f64 (/.f64 2 (/.f64 k (.f64 l l))) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite760.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

539×	`times-frac_binary64_425`
197×	`add-sqr-sqrt_binary64_441`
191×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
151×	`add-exp-log_binary64_457`
100×	`add-cbrt-cube_binary64_455`
81×	`div-exp_binary64_470`
66×	`div-inv_binary64_416`
55×	`cbrt-undiv_binary64_453`
39×	`prod-exp_binary64_468`
32×	`associate-/l*_binary64_364`
19×	`cbrt-unprod_binary64_452`
15×	`associate-/r*_binary64_363`
10×	`associate-/r/_binary64_365`
8×	`associate-r_binary64_359`
5×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
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×	`associate-/l/_binary64_366` `*-commutative_binary64_350`

Counts

4 → 363

Calls

4 calls:

19.0ms	(/.f64 (/.f64 2 (/.f64 k (.f64 l l))) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
7.0ms	(/.f64 2 (/.f64 k (*.f64 l l)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(/.f64 k (*.f64 l l))

Compiler

Compiled 12104 to 5610 computations (53.7% saved)

series808.0ms (2.2%)

Error

16.1b

Counts

4 → 33

Calls

4 calls:

523.0ms	(/.f64 (/.f64 2 (/.f64 k (.f64 l l))) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
108.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
74.0ms	(/.f64 k (*.f64 l l))
71.0ms	(/.f64 2 (/.f64 k (*.f64 l l)))

Compiler

Compiled 1881 to 1413 computations (24.9% saved)

simplify163.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

396 → 396

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4981	14488
1	4981	14488

prune673.0ms (1.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	383	13	396
Fresh	14	4	18
Picked	0	1	1
Done	0	0	0
Total	397	18	415

Error

3.8b

Counts

415 → 18

Compiler

Compiled 11610 to 5343 computations (54% saved)

regimes4.3s (11.9%)

Accuracy

Total 1.6b remaining (42.6%)

Threshold costs 0b (0%)

Compiler

Compiled 61615 to 45605 computations (26% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms (0%)

sample20.2s (55.9%)

Algorithm

1×

intervals

Results

4.0s	1236×	body	4096	invalid
2.1s	1070×	body	2048	invalid
2.1s	3870×	body	1024	valid
935.0ms	1014×	body	2048	valid
931.0ms	468×	body	4096	valid
514.0ms	1371×	body	512	valid
392.0ms	727×	body	1024	invalid
181.0ms	510×	body	512	invalid
126.0ms	1032×	body	128	invalid
119.0ms	486×	body	256	valid
105.0ms	791×	body	128	valid
75.0ms	293×	body	256	invalid

Compiler

Compiled 9580 to 7103 computations (25.9% saved)

Details

analyze2.4s (6.7%)

sample485.0ms (1.3%)

simplify112.0ms (0.3%)

prune5.0ms (0%)

localize16.0ms (0%)

rewrite388.0ms (1.1%)

series1.4s (3.8%)

simplify107.0ms (0.3%)

prune310.0ms (0.9%)

localize14.0ms (0%)

rewrite332.0ms (0.9%)

series1.3s (3.6%)

simplify128.0ms (0.4%)

prune289.0ms (0.8%)

localize14.0ms (0%)

rewrite278.0ms (0.8%)

series1.1s (3.2%)

simplify100.0ms (0.3%)

prune386.0ms (1.1%)

localize14.0ms (0%)

rewrite760.0ms (2.1%)

series808.0ms (2.2%)

simplify163.0ms (0.5%)

prune673.0ms (1.9%)

regimes4.3s (11.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample20.2s (55.9%)

Profiling