Details

analyze2.6s (8.5%)

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)

sample376.0ms (1.2%)

Algorithm

1×

intervals

Results

128.0ms	42×	body	4096	invalid
62.0ms	109×	body	1024	valid
40.0ms	47×	body	2048	valid
37.0ms	23×	body	2048	invalid
34.0ms	11×	body	4096	valid
24.0ms	50×	body	512	valid
10.0ms	20×	body	1024	invalid
5.0ms	13×	body	512	invalid
5.0ms	19×	body	256	valid
4.0ms	34×	body	128	invalid
3.0ms	20×	body	128	valid
2.0ms	7×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

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)

localize20.0ms (0.1%)

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))
0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
15.2b	(/.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))

rewrite390.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

25.1b

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:

21.0ms	(.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 (4.2%)

Error

24.2b

Counts

4 → 37

Calls

4 calls:

526.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
404.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
234.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
93.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2349 to 1840 computations (21.7% saved)

simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5237	4790

prune299.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	212	12	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	213	12	225

Error

18.2b

Counts

225 → 12

Compiler

Compiled 5799 to 2950 computations (49.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.9b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
22.6b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite210.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.9b

Rules

163×	`add-exp-log_binary64_457`
102×	`prod-exp_binary64_468`
87×	`add-cbrt-cube_binary64_455`
48×	`cbrt-unprod_binary64_452`
27×	`div-exp_binary64_470`
15×	`cbrt-undiv_binary64_453` `add-sqr-sqrt_binary64_441`
10×	`pow1_binary64_480` `pow-to-exp_binary64_488` `pow-exp_binary64_487`
9×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
7×	`unpow-prod-down_binary64_498`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-pow_binary64_491`

Counts

4 → 124

Calls

4 calls:

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))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3652 to 1381 computations (62.2% saved)

series721.0ms (2.3%)

Error

18.2b

Counts

4 → 36

Calls

4 calls:

416.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
147.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
95.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
26.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2036 to 1468 computations (27.9% saved)

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4965	3083
1	4965	3083

prune189.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	157	15	172

Error

12.0b

Counts

172 → 15

Compiler

Compiled 3927 to 1892 computations (51.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
0.3b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
22.6b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite286.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

10.8b

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` `pow-pow_binary64_491` `associate-/r/_binary64_365`

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))))
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)

Compiler

Compiled 4970 to 2137 computations (57% saved)

series1.2s (3.8%)

Error

11.8b

Counts

4 → 39

Calls

4 calls:

551.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
450.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
99.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
32.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2215 to 1673 computations (24.5% saved)

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4974	4951
1	4974	4951

prune238.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	185	8	193
Fresh	4	10	14
Picked	0	1	1
Done	0	0	0
Total	189	19	208

Error

10.8b

Counts

208 → 19

Compiler

Compiled 5018 to 2375 computations (52.7% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
9.1b	(/.f64 (*.f64 l l) k)
13.7b	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))

rewrite324.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

151×	`add-exp-log_binary64_457`
100×	`add-cbrt-cube_binary64_455`
73×	`times-frac_binary64_425`
60×	`prod-exp_binary64_468` `div-exp_binary64_470`
57×	`add-sqr-sqrt_binary64_441`
41×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
40×	`cbrt-undiv_binary64_453`
34×	`cbrt-unprod_binary64_452` `associate-r_binary64_359`
11×	`div-inv_binary64_416`
10×	`associate-l_binary64_360` `associate-/r*_binary64_363`
8×	`unswap-sqr_binary64_387`
6×	`pow1_binary64_480`
5×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
4×	`add-log-exp_binary64_458` `associate-/l*_binary64_364` `unpow-prod-down_binary64_498`
2×	`associate-/r/_binary64_365` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `unpow2_binary64_484` `sqr-pow_binary64_391`
1×	`pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361`

Counts

4 → 185

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
9.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(/.f64 (*.f64 l l) k)

Compiler

Compiled 5714 to 2626 computations (54% saved)

series1.0s (3.3%)

Error

10.8b

Counts

4 → 36

Calls

4 calls:

540.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
270.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
101.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
69.0ms	(/.f64 (*.f64 l l) k)

Compiler

Compiled 2028 to 1486 computations (26.7% saved)

simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4985	5309
1	4985	5309

prune263.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	211	10	221
Fresh	10	7	17
Picked	1	0	1
Done	1	0	1
Total	223	17	240

Error

3.6b

Counts

240 → 17

Compiler

Compiled 5446 to 2559 computations (53% saved)

regimes3.6s (11.6%)

Accuracy

Total 4.7b remaining (64.2%)

Threshold costs 0b (0%)

Compiler

Compiled 37714 to 28181 computations (25.3% saved)

bsearch369.0ms (1.2%)

Steps

Iters	Range		Point
8	1.1602930092136789e-192	2.3077061375955487e-188	2.2676346131408102e-188
8	-1.540312162778517e-14	-1.3322116724095116e-17	-4.240753838228914e-17

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	72
1	38	72

end0.0ms (0%)

sample17.0s (55.1%)

Algorithm

1×

intervals

Results

3.6s	1211×	body	4096	invalid
2.1s	3881×	body	1024	valid
2.1s	1082×	body	2048	invalid
1.0s	1028×	body	2048	valid
963.0ms	464×	body	4096	valid
509.0ms	1347×	body	512	valid
386.0ms	676×	body	1024	invalid
177.0ms	480×	body	512	invalid
145.0ms	1084×	body	128	invalid
122.0ms	483×	body	256	valid
105.0ms	797×	body	128	valid
69.0ms	284×	body	256	invalid

Compiler

Compiled 5651 to 4227 computations (25.2% saved)

Details

analyze2.6s (8.5%)

sample376.0ms (1.2%)

simplify23.0ms (0.1%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite390.0ms (1.3%)

series1.3s (4.2%)

simplify100.0ms (0.3%)

prune299.0ms (1%)

localize17.0ms (0.1%)

rewrite210.0ms (0.7%)

series721.0ms (2.3%)

simplify99.0ms (0.3%)

prune189.0ms (0.6%)

localize14.0ms (0%)

rewrite286.0ms (0.9%)

series1.2s (3.8%)

simplify99.0ms (0.3%)

prune238.0ms (0.8%)

localize14.0ms (0%)

rewrite324.0ms (1%)

series1.0s (3.3%)

simplify117.0ms (0.4%)

prune263.0ms (0.9%)

regimes3.6s (11.6%)

bsearch369.0ms (1.2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample17.0s (55.1%)

Profiling