Details

analyze2.8s (12%)

Algorithm

1×

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)

sample505.0ms (2.2%)

Algorithm

1×

intervals

Results

187.0ms	49×	body	4096	invalid
109.0ms	40×	body	2048	invalid
102.0ms	144×	body	1024	valid
23.0ms	21×	body	2048	valid
18.0ms	41×	body	512	valid
14.0ms	7×	body	4096	valid
13.0ms	21×	body	1024	invalid
7.0ms	17×	body	512	invalid
5.0ms	30×	body	128	valid
4.0ms	29×	body	128	invalid
4.0ms	13×	body	256	valid
1.0ms	5×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify183.0ms (0.8%)

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

Merged error: 38.7b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
15.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
27.0b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite82.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

228×	`add-exp-log_binary64_449`
139×	`prod-exp_binary64_460`
52×	`add-cbrt-cube_binary64_447`
51×	`div-exp_binary64_462`
37×	`times-frac_binary64_420`
33×	`add-sqr-sqrt_binary64_435`
32×	`pow-exp_binary64_479`
26×	`cbrt-unprod_binary64_444`
24×	`add-cube-cbrt_binary64_446` `-un-lft-identity_binary64_414` `associate-r*_binary64_356`
23×	`pow-to-exp_binary64_480` `unpow-prod-down_binary64_490`
18×	`associate-l_binary64_357`
12×	`associate-/l*_binary64_361`
11×	`pow1_binary64_472`
10×	`associate-*l/_binary64_359` `cube-prod_binary64_439`
8×	`cbrt-undiv_binary64_445`
5×	`sqr-pow_binary64_386` `unswap-sqr_binary64_382`
4×	`pow-prod-down_binary64_482` `add-log-exp_binary64_450` `tan-quot_binary64_570`
3×	`div-inv_binary64_411` `cube-mult_binary64_441` `*-commutative_binary64_347` `unpow3_binary64_477`
2×	`frac-times_binary64_424` `associate-*r/_binary64_358`
1×	`clear-num_binary64_413` `frac-2neg_binary64_425` `unpow2_binary64_476` `associate-/r*_binary64_360`

Counts

4 → 187

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
13.0ms	(.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))
8.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

series1.1s (5%)

Counts

4 → 12

Calls

4 calls:

626.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
336.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
134.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
48.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5158	4265

prune294.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	188	11	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	11	200

Merged error: 14.7b

Counts

200 → 11

Compiler

Compiled 5274 to 2691 computations (49% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
9.0b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
17.0b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite49.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

163×	`add-exp-log_binary64_449`
102×	`prod-exp_binary64_460`
87×	`add-cbrt-cube_binary64_447`
48×	`cbrt-unprod_binary64_444`
27×	`div-exp_binary64_462`
15×	`cbrt-undiv_binary64_445` `add-sqr-sqrt_binary64_435`
10×	`pow1_binary64_472` `pow-exp_binary64_479` `pow-to-exp_binary64_480`
9×	`add-cube-cbrt_binary64_446` `-un-lft-identity_binary64_414` `associate-r*_binary64_356`
7×	`unpow-prod-down_binary64_490`
4×	`associate-l_binary64_357` `add-log-exp_binary64_450` `unswap-sqr_binary64_382`
3×	`pow-unpow_binary64_488` `sqr-pow_binary64_386` `pow-prod-down_binary64_482` `unpow2_binary64_476`
2×	`*-commutative_binary64_347`
1×	`clear-num_binary64_413` `times-frac_binary64_420` `div-inv_binary64_411` `pow-pow_binary64_483` `frac-2neg_binary64_425` `associate-/l_binary64_361` `associate-/r_binary64_360`

Counts

4 → 124

Calls

4 calls:

15.0ms	(/.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)

series493.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

301.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
97.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
71.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
24.0ms	(pow.f64 (sin.f64 k) 2)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5270	2583

prune154.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	134	13	147

Merged error: 9.2b

Counts

147 → 13

Compiler

Compiled 3353 to 1491 computations (55.5% saved)

localize20.0ms (0.1%)

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))))
0.4b	(pow.f64 (sin.f64 k) 2)
0.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
17.0b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite62.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`add-exp-log_binary64_449`
128×	`add-cbrt-cube_binary64_447`
111×	`prod-exp_binary64_460`
61×	`cbrt-unprod_binary64_444`
55×	`div-exp_binary64_462`
37×	`cbrt-undiv_binary64_445`
25×	`add-sqr-sqrt_binary64_435`
20×	`times-frac_binary64_420`
19×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
8×	`pow-exp_binary64_479` `pow-to-exp_binary64_480` `associate-r_binary64_356`
7×	`unpow-prod-down_binary64_490`
6×	`div-inv_binary64_411` `associate-/r*_binary64_360`
5×	`pow1_binary64_472`
4×	`add-log-exp_binary64_450` `unswap-sqr_binary64_382` `associate-/l*_binary64_361`
3×	`pow-unpow_binary64_488` `sqr-pow_binary64_386` `associate-l_binary64_357` `unpow2_binary64_476`
2×	`clear-num_binary64_413` `frac-2neg_binary64_425`
1×	`associate-/r/_binary64_362` `*-commutative_binary64_347` `pow-pow_binary64_483`

Counts

4 → 154

Calls

4 calls:

16.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
15.0ms	(/.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)

series885.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

497.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
293.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
69.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
26.0ms	(pow.f64 (sin.f64 k) 2)

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	4249
1	4962	4249

prune231.0ms (1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	162	17	179

Merged error: 8.5b

Counts

179 → 17

Compiler

Compiled 4417 to 2197 computations (50.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
2.5b	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
14.0b	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite58.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

128×	`add-exp-log_binary64_449`
89×	`times-frac_binary64_420`
80×	`add-cbrt-cube_binary64_447`
57×	`div-exp_binary64_462`
44×	`add-sqr-sqrt_binary64_435`
43×	`prod-exp_binary64_460`
38×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
37×	`cbrt-undiv_binary64_445`
21×	`cbrt-unprod_binary64_444`
19×	`associate-/r*_binary64_360`
12×	`div-inv_binary64_411`
8×	`associate-r_binary64_356`
7×	`unpow-prod-down_binary64_490`
6×	`associate-/r/_binary64_362` `pow-exp_binary64_479` `pow-to-exp_binary64_480`
5×	`pow1_binary64_472`
4×	`add-log-exp_binary64_450` `unswap-sqr_binary64_382` `associate-/l*_binary64_361`
3×	`pow-unpow_binary64_488` `sqr-pow_binary64_386` `associate-l_binary64_357` `unpow2_binary64_476`
2×	`clear-num_binary64_413` `frac-2neg_binary64_425`
1×	`*-commutative_binary64_347` `pow-pow_binary64_483`

Counts

4 → 175

Calls

4 calls:

14.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
12.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series732.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

331.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
295.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
82.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
24.0ms	(pow.f64 (sin.f64 k) 2)

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5015	4733

prune239.0ms (1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	177	10	187
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	186	18	204

Merged error: 1.8b

Counts

204 → 18

Compiler

Compiled 4686 to 2290 computations (51.1% saved)

regimes180.0ms (0.8%)

Compiler: Compiled 2171 to 1540 computations (29.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	29
1	19	29

end0.0ms (0%)

sample14.6s (63.4%)

Algorithm

1×

intervals

Results

4.7s	1183×	body	4096	invalid
2.8s	3956×	body	1024	valid
2.2s	1078×	body	2048	invalid
1.2s	475×	body	4096	valid
1.2s	976×	body	2048	valid
620.0ms	1343×	body	512	valid
402.0ms	662×	body	1024	invalid
200.0ms	490×	body	512	invalid
159.0ms	1015×	body	128	invalid
144.0ms	469×	body	256	valid
123.0ms	781×	body	128	valid
73.0ms	249×	body	256	invalid

Compiler

Compiled 537 to 385 computations (28.3% saved)

Details

analyze2.8s (12%)

sample505.0ms (2.2%)

simplify183.0ms (0.8%)

prune5.0ms (0%)

localize19.0ms (0.1%)

rewrite82.0ms (0.4%)

series1.1s (5%)

simplify72.0ms (0.3%)

prune294.0ms (1.3%)

localize17.0ms (0.1%)

rewrite49.0ms (0.2%)

series493.0ms (2.1%)

simplify57.0ms (0.2%)

prune154.0ms (0.7%)

localize20.0ms (0.1%)

rewrite62.0ms (0.3%)

series885.0ms (3.8%)

simplify104.0ms (0.5%)

prune231.0ms (1%)

localize17.0ms (0.1%)

rewrite58.0ms (0.2%)

series732.0ms (3.2%)

simplify87.0ms (0.4%)

prune239.0ms (1%)

regimes180.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample14.6s (63.4%)

Profiling