Details

analyze2.6s (8.1%)

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)

sample389.0ms (1.2%)

Algorithm

1×

intervals

Results

130.0ms	39×	body	4096	invalid
64.0ms	32×	body	2048	invalid
62.0ms	115×	body	1024	valid
34.0ms	17×	body	4096	valid
30.0ms	33×	body	2048	valid
20.0ms	52×	body	512	valid
11.0ms	21×	body	1024	invalid
5.0ms	39×	body	128	invalid
4.0ms	30×	body	128	valid
3.0ms	8×	body	512	invalid
2.0ms	9×	body	256	valid
1.0ms	4×	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 (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

39.9b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
1.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
17.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))
27.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite351.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

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 (4.5%)

Error

20.6b

Counts

4 → 42

Calls

4 calls:

515.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
472.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
272.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
109.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2770 to 2163 computations (21.9% saved)

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5197	5095

prune322.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	219	10	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	10	230

Error

16.1b

Counts

230 → 10

Compiler

Compiled 6025 to 3068 computations (49.1% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
2.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.9b	(.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)))

rewrite346.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

12.6b

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 (4%)

Error

16.0b

Counts

4 → 42

Calls

4 calls:

521.0ms	(/.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)))
152.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
104.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2378 to 1790 computations (24.7% saved)

simplify127.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4996	6040
1	4996	6040

prune273.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	217	9	226
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	221	15	236

Error

14.1b

Counts

236 → 15

Compiler

Compiled 5648 to 2584 computations (54.2% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.4b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
2.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
19.2b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite255.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

12.0b

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 (3.6%)

Error

14.1b

Counts

4 → 39

Calls

4 calls:

542.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
433.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
100.0ms	(*.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)

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4974	4951
1	4974	4951

prune224.0ms (0.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	192	16	208

Error

13.4b

Counts

208 → 16

Compiler

Compiled 4927 to 2310 computations (53.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
2.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.4b	(/.f64 (*.f64 l l) k)
12.6b	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))

rewrite310.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

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:

20.0ms	(.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

13.4b

Counts

4 → 36

Calls

4 calls:

551.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
276.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
106.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
68.0ms	(/.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

prune264.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	211	10	221
Fresh	7	7	14
Picked	1	0	1
Done	0	1	1
Total	219	18	237

Error

3.9b

Counts

237 → 18

Compiler

Compiled 5446 to 2559 computations (53% saved)

regimes3.5s (11.1%)

Accuracy

Total 5.2b remaining (68.1%)

Threshold costs 0b (0%)

Compiler

Compiled 36923 to 28416 computations (23% saved)

bsearch189.0ms (0.6%)

Steps

Iters	Range		Point
11	-1.3958355855691195e-111	-1.4381667949053403e-133	-3.98662319550043e-117

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	33	76
1	33	76

end0.0ms (0%)

sample17.4s (54.6%)

Algorithm

1×

intervals

Results

4.1s	1290×	body	4096	invalid
2.1s	3854×	body	1024	valid
2.1s	1082×	body	2048	invalid
1.0s	1079×	body	2048	valid
889.0ms	446×	body	4096	valid
525.0ms	1349×	body	512	valid
361.0ms	625×	body	1024	invalid
175.0ms	459×	body	512	invalid
134.0ms	1066×	body	128	invalid
126.0ms	496×	body	256	valid
108.0ms	776×	body	128	valid
76.0ms	310×	body	256	invalid

Compiler

Compiled 5570 to 4284 computations (23.1% saved)

Details

analyze2.6s (8.1%)

sample389.0ms (1.2%)

simplify23.0ms (0.1%)

prune5.0ms (0%)

localize21.0ms (0.1%)

rewrite351.0ms (1.1%)

series1.4s (4.5%)

simplify104.0ms (0.3%)

prune322.0ms (1%)

localize14.0ms (0%)

rewrite346.0ms (1.1%)

series1.3s (4%)

simplify127.0ms (0.4%)

prune273.0ms (0.9%)

localize14.0ms (0%)

rewrite255.0ms (0.8%)

series1.1s (3.6%)

simplify102.0ms (0.3%)

prune224.0ms (0.7%)

localize19.0ms (0.1%)

rewrite310.0ms (1%)

series1.0s (3.3%)

simplify117.0ms (0.4%)

prune264.0ms (0.8%)

regimes3.5s (11.1%)

bsearch189.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample17.4s (54.6%)

Profiling