Details

analyze4.4s (8.7%)

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)

sample612.0ms (1.2%)

Algorithm

1×

intervals

Results

231.0ms	42×	body	4096	invalid
100.0ms	117×	body	1024	valid
55.0ms	20×	body	4096	valid
54.0ms	24×	body	2048	invalid
50.0ms	32×	body	2048	valid
33.0ms	46×	body	512	valid
16.0ms	15×	body	256	valid
14.0ms	17×	body	1024	invalid
12.0ms	18×	body	512	invalid
6.0ms	29×	body	128	invalid
6.0ms	26×	body	128	valid
3.0ms	8×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

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

39.8b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize39.0ms (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))
0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
14.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
29.0b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite638.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

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:

41.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
24.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
22.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
14.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5495 to 2635 computations (52% saved)

series2.1s (4.2%)

Error

20.3b

Counts

4 → 38

Calls

4 calls:

808.0ms	(.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))
381.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
181.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2490 to 1953 computations (21.6% saved)

simplify170.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5022	4818

prune506.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	218	7	225
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	7	226

Error

17.4b

Counts

226 → 7

Compiler

Compiled 5715 to 2879 computations (49.6% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
18.8b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite337.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

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:

30.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
16.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
11.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3652 to 1381 computations (62.2% saved)

series1.3s (2.6%)

Error

17.4b

Counts

4 → 32

Calls

4 calls:

771.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
262.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
170.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
49.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1873 to 1362 computations (27.3% saved)

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5608	2945

prune341.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	148	8	156
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	150	13	163

Error

13.8b

Counts

163 → 13

Compiler

Compiled 3767 to 1717 computations (54.4% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
0.4b	(pow.f64 (sin.f64 k) 2)
1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
18.8b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite295.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

12.5b

Rules

107×	`add-exp-log_binary64_457`
65×	`add-cbrt-cube_binary64_455`
64×	`prod-exp_binary64_468`
34×	`cbrt-unprod_binary64_452`
18×	`div-exp_binary64_470`
16×	`add-sqr-sqrt_binary64_441`
12×	`cbrt-undiv_binary64_453`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`associate-r_binary64_359`
7×	`pow1_binary64_480` `unpow-prod-down_binary64_498`
6×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`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` `pow-prod-down_binary64_490`

Counts

4 → 107

Calls

4 calls:

27.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
17.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3092 to 1330 computations (57% saved)

series1.2s (2.3%)

Error

13.8b

Counts

4 → 32

Calls

4 calls:

661.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
227.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
181.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
50.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1887 to 1366 computations (27.6% saved)

simplify116.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5008	2455

prune278.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	133	6	139
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	140	12	152

Error

12.9b

Counts

152 → 12

Compiler

Compiled 3362 to 1571 computations (53.3% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.2b	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
15.9b	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite494.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

128×	`add-exp-log_binary64_457`
89×	`times-frac_binary64_425`
80×	`add-cbrt-cube_binary64_455`
57×	`div-exp_binary64_470`
44×	`add-sqr-sqrt_binary64_441`
43×	`prod-exp_binary64_468`
38×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
37×	`cbrt-undiv_binary64_453`
21×	`cbrt-unprod_binary64_452`
19×	`associate-/r*_binary64_363`
12×	`div-inv_binary64_416`
8×	`associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498`
6×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-/r/_binary64_365`
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`

Counts

4 → 175

Calls

4 calls:

24.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
19.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
11.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 5312 to 2477 computations (53.4% saved)

series1.7s (3.3%)

Error

12.9b

Counts

4 → 35

Calls

4 calls:

702.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
670.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
189.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
54.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2057 to 1544 computations (24.9% saved)

simplify143.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5020	5215

prune427.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	198	12	210
Fresh	9	2	11
Picked	1	0	1
Done	0	0	0
Total	208	14	222

Error

2.6b

Counts

222 → 14

Compiler

Compiled 5149 to 2420 computations (53% saved)

regimes5.2s (10.3%)

Accuracy

Total 1.6b remaining (36.8%)

Threshold costs 0b (0%)

Compiler

Compiled 38797 to 28767 computations (25.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	29
1	19	29

end0.0ms (0%)

sample30.1s (59.5%)

Algorithm

1×

intervals

Results

6.2s	1177×	body	4096	invalid
3.7s	1112×	body	2048	invalid
3.4s	3826×	body	1024	valid
1.8s	482×	body	4096	valid
1.6s	1005×	body	2048	valid
858.0ms	1376×	body	512	valid
530.0ms	587×	body	1024	invalid
289.0ms	478×	body	512	invalid
204.0ms	1030×	body	128	invalid
188.0ms	451×	body	256	valid
188.0ms	860×	body	128	valid
104.0ms	264×	body	256	invalid

Compiler

Compiled 5957 to 4423 computations (25.8% saved)

Details

analyze4.4s (8.7%)

sample612.0ms (1.2%)

simplify27.0ms (0.1%)

prune9.0ms (0%)

localize39.0ms (0.1%)

rewrite638.0ms (1.3%)

series2.1s (4.2%)

simplify170.0ms (0.3%)

prune506.0ms (1%)

localize29.0ms (0.1%)

rewrite337.0ms (0.7%)

series1.3s (2.6%)

simplify84.0ms (0.2%)

prune341.0ms (0.7%)

localize32.0ms (0.1%)

rewrite295.0ms (0.6%)

series1.2s (2.3%)

simplify116.0ms (0.2%)

prune278.0ms (0.5%)

localize34.0ms (0.1%)

rewrite494.0ms (1%)

series1.7s (3.3%)

simplify143.0ms (0.3%)

prune427.0ms (0.8%)

regimes5.2s (10.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample30.1s (59.5%)

Profiling