Details

analyze2.5s (6.9%)

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)

sample405.0ms (1.1%)

Algorithm

1×

intervals

Results

97.0ms	40×	body	4096	invalid
87.0ms	44×	body	2048	invalid
70.0ms	132×	body	1024	valid
55.0ms	22×	body	4096	valid
28.0ms	33×	body	2048	valid
13.0ms	25×	body	1024	invalid
12.0ms	32×	body	512	valid
7.0ms	19×	body	512	invalid
5.0ms	38×	body	128	invalid
5.0ms	18×	body	256	valid
2.0ms	19×	body	128	valid
2.0ms	10×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

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

41.0b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.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))
15.9b	(/.f64 (pow.f64 t 3) (*.f64 l l))
29.2b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite369.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

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))
11.0ms	(.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)

series1.3s (3.6%)

Error

20.8b

Counts

4 → 36

Calls

4 calls:

499.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
441.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
238.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
110.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2300 to 1804 computations (21.6% saved)

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5178	4711

prune436.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	215	8	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	8	224

Error

17.0b

Counts

224 → 8

Compiler

Compiled 5666 to 2847 computations (49.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.3b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
17.6b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite327.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

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))))
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))

Compiler

Compiled 6000 to 2263 computations (62.3% saved)

series1.3s (3.4%)

Error

17.0b

Counts

4 → 34

Calls

4 calls:

544.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
435.0ms	(/.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)))
93.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1908 to 1453 computations (23.8% saved)

simplify116.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5000	5645

prune265.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	206	12	218
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	209	17	226

Error

10.8b

Counts

226 → 17

Compiler

Compiled 5378 to 2443 computations (54.6% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.5b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
17.6b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite266.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

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:

14.0ms	(/.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)

series1.1s (3.1%)

Error

10.8b

Counts

4 → 31

Calls

4 calls:

535.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
451.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
89.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
24.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1749 to 1336 computations (23.6% saved)

simplify111.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4968	4631
1	4968	4631

prune209.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	179	6	185
Fresh	4	12	16
Picked	0	1	1
Done	0	0	0
Total	183	19	202

Error

10.3b

Counts

202 → 19

Compiler

Compiled 4692 to 2205 computations (53% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 2 (/.f64 k (*.f64 l l)))
2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.9b	(/.f64 k (*.f64 l l))
12.6b	(/.f64 (/.f64 2 (/.f64 k (.f64 l l))) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite788.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

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)))
6.0ms	(/.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)

series842.0ms (2.3%)

Error

10.3b

Counts

4 → 29

Calls

4 calls:

560.0ms	(/.f64 (/.f64 2 (/.f64 k (.f64 l l))) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
98.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
85.0ms	(/.f64 2 (/.f64 k (*.f64 l l)))
72.0ms	(/.f64 k (*.f64 l l))

Compiler

Compiled 1646 to 1245 computations (24.4% saved)

simplify139.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5374	14265

prune630.0ms (1.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	378	14	392
Fresh	12	5	17
Picked	1	0	1
Done	1	0	1
Total	392	19	411

Error

3.4b

Counts

411 → 19

Compiler

Compiled 11434 to 5244 computations (54.1% saved)

regimes4.6s (12.4%)

Accuracy

Total 1.8b remaining (42.3%)

Threshold costs 0b (0%)

Compiler

Compiled 63679 to 46692 computations (26.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms (0%)

sample20.8s (56.7%)

Algorithm

1×

intervals

Results

3.9s	1198×	body	4096	invalid
2.0s	3830×	body	1024	valid
2.0s	1042×	body	2048	invalid
1.1s	512×	body	4096	valid
918.0ms	1005×	body	2048	valid
631.0ms	723×	body	1024	invalid
508.0ms	1380×	body	512	valid
190.0ms	493×	body	512	invalid
144.0ms	1074×	body	128	invalid
110.0ms	456×	body	256	valid
104.0ms	817×	body	128	valid
74.0ms	312×	body	256	invalid

Compiler

Compiled 9796 to 7197 computations (26.5% saved)

Details

analyze2.5s (6.9%)

sample405.0ms (1.1%)

simplify21.0ms (0.1%)

prune5.0ms (0%)

localize19.0ms (0.1%)

rewrite369.0ms (1%)

series1.3s (3.6%)

simplify76.0ms (0.2%)

prune436.0ms (1.2%)

localize14.0ms (0%)

rewrite327.0ms (0.9%)

series1.3s (3.4%)

simplify116.0ms (0.3%)

prune265.0ms (0.7%)

localize14.0ms (0%)

rewrite266.0ms (0.7%)

series1.1s (3.1%)

simplify111.0ms (0.3%)

prune209.0ms (0.6%)

localize17.0ms (0%)

rewrite788.0ms (2.1%)

series842.0ms (2.3%)

simplify139.0ms (0.4%)

prune630.0ms (1.7%)

regimes4.6s (12.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample20.8s (56.7%)

Profiling