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)

sample386.0ms (1.2%)

Algorithm

1×

intervals

Results

95.0ms	38×	body	4096	invalid
67.0ms	125×	body	1024	valid
61.0ms	16×	body	4096	valid
61.0ms	40×	body	2048	invalid
27.0ms	31×	body	2048	valid
21.0ms	53×	body	512	valid
18.0ms	21×	body	1024	invalid
4.0ms	17×	body	256	valid
4.0ms	30×	body	128	invalid
3.0ms	8×	body	512	invalid
2.0ms	14×	body	128	valid
1.0ms	5×	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

prune9.0ms (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

39.4b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize17.0ms (0.1%)

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))
1.0b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
16.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))
26.4b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite363.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

22.7b

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 (4.4%)

Error

22.8b

Counts

4 → 38

Calls

4 calls:

504.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
455.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
244.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
107.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2490 to 1953 computations (21.6% saved)

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5022	4818

prune292.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	215	10	225
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	10	226

Error

16.3b

Counts

226 → 10

Compiler

Compiled 5795 to 2937 computations (49.3% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b	(/.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))
4.3b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
21.1b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite342.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

12.7b

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)))
10.0ms	(.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 (4.2%)

Error

16.0b

Counts

4 → 38

Calls

4 calls:

529.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
479.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
157.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
99.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2208 to 1674 computations (24.2% saved)

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4971	5783
1	4971	5783

prune266.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	211	11	222
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	213	19	232

Error

11.8b

Counts

232 → 19

Compiler

Compiled 5512 to 2621 computations (52.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 k) 2)
0.8b	(/.f64 2 (/.f64 (.f64 k (.f64 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))
21.1b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite261.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

10.9b

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)

series1.2s (3.7%)

Error

11.8b

Counts

4 → 35

Calls

4 calls:

550.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
446.0ms	(/.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))
30.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2047 to 1557 computations (23.9% saved)

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5009	4764

prune223.0ms (0.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	189	19	208

Error

11.2b

Counts

208 → 19

Compiler

Compiled 4852 to 2299 computations (52.6% saved)

localize15.0ms (0%)

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)))
1.8b	(*.f64 t (pow.f64 (sin.f64 k) 2))
9.6b	(/.f64 (*.f64 l l) k)
12.4b	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))

rewrite328.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

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:

22.0ms	(.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

11.2b

Counts

4 → 33

Calls

4 calls:

537.0ms	(.f64 (/.f64 (.f64 l l) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
274.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
103.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
75.0ms	(/.f64 (*.f64 l l) k)

Compiler

Compiled 1906 to 1406 computations (26.2% saved)

simplify133.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4962	5180
1	4962	5180

prune248.0ms (0.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	208	10	218
Fresh	7	11	18
Picked	1	0	1
Done	0	0	0
Total	216	21	237

Error

2.8b

Counts

237 → 21

Compiler

Compiled 5340 to 2504 computations (53.1% saved)

regimes3.3s (10.5%)

Accuracy

Total 5.3b remaining (67.6%)

Threshold costs 0b (0%)

Compiler

Compiled 37382 to 28126 computations (24.8% saved)

bsearch12.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	90
1	39	90

end0.0ms (0%)

sample17.1s (54.9%)

Algorithm

1×

intervals

Results

3.8s	1139×	body	4096	invalid
2.2s	1084×	body	2048	invalid
2.1s	3822×	body	1024	valid
1.0s	495×	body	4096	valid
963.0ms	995×	body	2048	valid
555.0ms	1413×	body	512	valid
401.0ms	680×	body	1024	invalid
180.0ms	476×	body	512	invalid
139.0ms	1020×	body	128	invalid
122.0ms	478×	body	256	valid
114.0ms	797×	body	128	valid
69.0ms	275×	body	256	invalid

Compiler

Compiled 5648 to 4250 computations (24.8% saved)

Details

analyze2.6s (8.5%)

sample386.0ms (1.2%)

simplify21.0ms (0.1%)

prune9.0ms (0%)

localize17.0ms (0.1%)

rewrite363.0ms (1.2%)

series1.4s (4.4%)

simplify101.0ms (0.3%)

prune292.0ms (0.9%)

localize15.0ms (0%)

rewrite342.0ms (1.1%)

series1.3s (4.2%)

simplify109.0ms (0.4%)

prune266.0ms (0.9%)

localize18.0ms (0.1%)

rewrite261.0ms (0.8%)

series1.2s (3.7%)

simplify99.0ms (0.3%)

prune223.0ms (0.7%)

localize15.0ms (0%)

rewrite328.0ms (1.1%)

series1.0s (3.3%)

simplify133.0ms (0.4%)

prune248.0ms (0.8%)

regimes3.3s (10.5%)

bsearch12.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample17.1s (54.9%)

Profiling