Details

analyze2.7s (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5080	128
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
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)

sample426.0ms (1.2%)

Algorithm

1×

intervals

Results

156.0ms	41×	body	4096	invalid
64.0ms	118×	body	1024	valid
47.0ms	36×	body	2048	invalid
43.0ms	35×	body	2048	valid
38.0ms	15×	body	4096	valid
18.0ms	47×	body	512	valid
14.0ms	26×	body	1024	invalid
8.0ms	21×	body	512	invalid
5.0ms	19×	body	256	valid
4.0ms	30×	body	128	invalid
4.0ms	22×	body	128	valid
4.0ms	14×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5185	32

prune10.0ms (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

40.0b

Counts

2 → 2

Compiler

Compiled 67 to 55 computations (17.9% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b	(.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))
11.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))
28.8b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite426.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

27.1b

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))
12.0ms	(.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)

series2.0s (5.6%)

Error

19.8b

Counts

4 → 35

Calls

4 calls:

719.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
668.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
377.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
162.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2242 to 1758 computations (21.6% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5052	4680

prune337.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	210	12	222
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	212	12	224

Error

14.3b

Counts

224 → 12

Compiler

Compiled 5740 to 2913 computations (49.3% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.7b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
19.2b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite378.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

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:

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)))
9.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 6000 to 2263 computations (62.3% saved)

series1.8s (5.2%)

Error

14.3b

Counts

4 → 31

Calls

4 calls:

793.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
632.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
233.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
136.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1738 to 1332 computations (23.4% saved)

simplify107.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4990	5582
1	4990	5582

prune315.0ms (0.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	200	15	215
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	205	22	227

Error

9.0b

Counts

227 → 22

Compiler

Compiled 5443 to 2542 computations (53.3% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.8b	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
14.2b	(/.f64 (.f64 l l) (.f64 k k))

rewrite314.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

185×	`add-exp-log_binary64_457`
120×	`add-cbrt-cube_binary64_455`
76×	`prod-exp_binary64_468`
73×	`div-exp_binary64_470`
46×	`cbrt-unprod_binary64_452`
45×	`cbrt-undiv_binary64_453`
38×	`add-sqr-sqrt_binary64_441`
36×	`times-frac_binary64_425`
34×	`associate-r_binary64_359`
24×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`unswap-sqr_binary64_387` `associate-l_binary64_360`
7×	`pow1_binary64_480` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow-prod-down_binary64_498`
6×	`div-inv_binary64_416`
4×	`add-log-exp_binary64_458`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate-/r/_binary64_365` `pow-pow_binary64_491`

Counts

4 → 163

Calls

4 calls:

21.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(/.f64 (.f64 l l) (.f64 k k))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 5059 to 2042 computations (59.6% saved)

series1.1s (3.1%)

Error

9.0b

Counts

4 → 25

Calls

4 calls:

786.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
137.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
132.0ms	(/.f64 (.f64 l l) (.f64 k k))
29.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1418 to 1074 computations (24.3% saved)

simplify98.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4978	3997
1	4978	3997

prune274.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	12	9	21
Picked	0	1	1
Done	0	0	0
Total	194	16	210

Error

2.5b

Counts

210 → 16

Compiler

Compiled 4633 to 2250 computations (51.4% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
0.7b	(.f64 (/.f64 l k) (.f64 (/.f64 l k) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))))
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.2b	(.f64 (/.f64 l k) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))

rewrite404.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

207×	`add-exp-log_binary64_457`
131×	`add-cbrt-cube_binary64_455`
85×	`div-exp_binary64_470`
83×	`prod-exp_binary64_468`
55×	`add-sqr-sqrt_binary64_441`
52×	`times-frac_binary64_425`
51×	`cbrt-undiv_binary64_453`
49×	`cbrt-unprod_binary64_452`
37×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
35×	`associate-r_binary64_359`
29×	`associate-l_binary64_360`
12×	`pow1_binary64_480`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `unswap-sqr_binary64_387`
7×	`unpow-prod-down_binary64_498`
6×	`frac-times_binary64_429` `associate-*r/_binary64_361` `div-inv_binary64_416`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `associate-*l/_binary64_362`
3×	`*-commutative_binary64_350` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
1×	`associate-/r/_binary64_365` `pow-pow_binary64_491`

Counts

4 → 195

Calls

4 calls:

21.0ms	(.f64 (/.f64 l k) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
20.0ms	(.f64 (/.f64 l k) (.f64 (/.f64 l k) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 6019 to 2651 computations (56% saved)

series1.7s (4.9%)

Error

2.5b

Counts

4 → 34

Calls

4 calls:

799.0ms	(.f64 (/.f64 l k) (.f64 (/.f64 l k) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))))
721.0ms	(.f64 (/.f64 l k) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
146.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
33.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1953 to 1374 computations (29.6% saved)

simplify111.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4988	5180
1	4988	5180

prune307.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	216	13	229
Fresh	10	4	14
Picked	1	0	1
Done	1	0	1
Total	228	17	245

Error

0.8b

Counts

245 → 17

Compiler

Compiled 5327 to 2531 computations (52.5% saved)

regimes4.1s (11.5%)

Accuracy

Total 2.1b remaining (81.5%)

Threshold costs 0b (0%)

Compiler

Compiled 47223 to 34632 computations (26.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	31
1	18	31

end0.0ms (0%)

sample18.3s (51.7%)

Algorithm

1×

intervals

Results

3.7s	1221×	body	4096	invalid
2.1s	1093×	body	2048	invalid
2.1s	3881×	body	1024	valid
1.0s	1062×	body	2048	valid
983.0ms	475×	body	4096	valid
532.0ms	1378×	body	512	valid
389.0ms	676×	body	1024	invalid
191.0ms	486×	body	512	invalid
153.0ms	1078×	body	128	invalid
115.0ms	770×	body	128	valid
115.0ms	434×	body	256	valid
80.0ms	303×	body	256	invalid

Compiler

Compiled 7274 to 5341 computations (26.6% saved)

Details

analyze2.7s (7.7%)

sample426.0ms (1.2%)

simplify20.0ms (0.1%)

prune10.0ms (0%)

localize17.0ms (0%)

rewrite426.0ms (1.2%)

series2.0s (5.6%)

simplify74.0ms (0.2%)

prune337.0ms (1%)

localize15.0ms (0%)

rewrite378.0ms (1.1%)

series1.8s (5.2%)

simplify107.0ms (0.3%)

prune315.0ms (0.9%)

localize14.0ms (0%)

rewrite314.0ms (0.9%)

series1.1s (3.1%)

simplify98.0ms (0.3%)

prune274.0ms (0.8%)

localize13.0ms (0%)

rewrite404.0ms (1.1%)

series1.7s (4.9%)

simplify111.0ms (0.3%)

prune307.0ms (0.9%)

regimes4.1s (11.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample18.3s (51.7%)

Profiling