Details

analyze2.6s (9.1%)

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)

sample439.0ms (1.6%)

Algorithm

1×

intervals

Results

166.0ms	50×	body	4096	invalid
81.0ms	128×	body	1024	valid
63.0ms	31×	body	2048	invalid
36.0ms	31×	body	2048	valid
30.0ms	14×	body	4096	valid
19.0ms	45×	body	512	valid
9.0ms	14×	body	1024	invalid
6.0ms	40×	body	128	invalid
5.0ms	12×	body	512	invalid
4.0ms	16×	body	256	valid
3.0ms	22×	body	128	valid
2.0ms	8×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify182.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5185	32

prune11.0ms (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: 42.9b

Counts

2 → 1

Compiler

Compiled 88 to 72 computations (18.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
1.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
19.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
27.1b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite84.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

228×	`add-exp-log_binary64_461`
139×	`prod-exp_binary64_472`
52×	`add-cbrt-cube_binary64_459`
51×	`div-exp_binary64_474`
37×	`times-frac_binary64_429`
33×	`add-sqr-sqrt_binary64_445`
32×	`pow-exp_binary64_491`
26×	`cbrt-unprod_binary64_456`
24×	`-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `associate-r*_binary64_363`
23×	`pow-to-exp_binary64_492` `unpow-prod-down_binary64_502`
18×	`associate-l_binary64_364`
12×	`associate-/l*_binary64_368`
11×	`pow1_binary64_484`
10×	`associate-*l/_binary64_366` `cube-prod_binary64_451`
8×	`cbrt-undiv_binary64_457`
5×	`unswap-sqr_binary64_391` `sqr-pow_binary64_395`
4×	`pow-prod-down_binary64_494` `add-log-exp_binary64_462` `tan-quot_binary64_582`
3×	`unpow3_binary64_489` `*-commutative_binary64_354` `cube-mult_binary64_453` `div-inv_binary64_420`
2×	`frac-times_binary64_433` `associate-*r/_binary64_365`
1×	`clear-num_binary64_422` `frac-2neg_binary64_434` `unpow2_binary64_488` `associate-/r*_binary64_367`

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))
14.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
12.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
8.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

series1.1s (4%)

Counts

4 → 12

Calls

4 calls:

649.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
333.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
119.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
45.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5170	4255

prune900.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	187	12	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	12	200

Merged error: 13.2b

Counts

200 → 12

Compiler

Compiled 16050 to 10681 computations (33.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
7.4b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
20.2b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite77.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

320×	`add-exp-log_binary64_461`
183×	`prod-exp_binary64_472`
173×	`add-cbrt-cube_binary64_459`
87×	`cbrt-unprod_binary64_456`
82×	`div-exp_binary64_474`
46×	`cbrt-undiv_binary64_457`
23×	`add-sqr-sqrt_binary64_445`
20×	`times-frac_binary64_429`
17×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
15×	`pow-to-exp_binary64_492` `pow-exp_binary64_491`
9×	`pow1_binary64_484` `associate-r_binary64_363`
6×	`div-inv_binary64_420` `associate-/r*_binary64_367`
4×	`associate-l_binary64_364` `add-log-exp_binary64_462` `unswap-sqr_binary64_391` `associate-/l*_binary64_368` `unpow-prod-down_binary64_502`
3×	`pow-prod-down_binary64_494`
2×	`*-commutative_binary64_354` `clear-num_binary64_422` `frac-2neg_binary64_434` `unpow2_binary64_488` `sqr-pow_binary64_395`
1×	`associate-/r/_binary64_369`

Counts

4 → 184

Calls

4 calls:

18.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
16.0ms	(/.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)))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

series995.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

511.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
297.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
112.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
75.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify126.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4957	5209
1	4957	5209

prune1.0s (3.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	184	12	196
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	187	21	208

Merged error: 9.0b

Counts

208 → 21

Compiler

Compiled 19066 to 12787 computations (32.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
0.5b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
20.2b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite65.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`add-exp-log_binary64_461`
128×	`add-cbrt-cube_binary64_459`
111×	`prod-exp_binary64_472`
61×	`cbrt-unprod_binary64_456`
55×	`div-exp_binary64_474`
37×	`cbrt-undiv_binary64_457`
25×	`add-sqr-sqrt_binary64_445`
20×	`times-frac_binary64_429`
19×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
8×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `associate-r_binary64_363`
7×	`unpow-prod-down_binary64_502`
6×	`div-inv_binary64_420` `associate-/r*_binary64_367`
5×	`pow1_binary64_484`
4×	`add-log-exp_binary64_462` `unswap-sqr_binary64_391` `associate-/l*_binary64_368`
3×	`associate-l_binary64_364` `pow-unpow_binary64_500` `unpow2_binary64_488` `sqr-pow_binary64_395`
2×	`clear-num_binary64_422` `frac-2neg_binary64_434`
1×	`*-commutative_binary64_354` `associate-/r/_binary64_369` `pow-pow_binary64_495`

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))))
16.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
8.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series932.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

531.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
301.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
74.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
25.0ms	(pow.f64 (sin.f64 k) 2)

simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4961	4249
1	4961	4249

prune655.0ms (2.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	167	20	187

Merged error: 8.8b

Counts

187 → 20

Compiler

Compiled 12685 to 8169 computations (35.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))))
1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.4b	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
17.1b	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite122.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

476×	`times-frac_binary64_429`
208×	`add-exp-log_binary64_461`
172×	`add-sqr-sqrt_binary64_445`
166×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
133×	`add-cbrt-cube_binary64_459`
106×	`div-exp_binary64_474`
70×	`cbrt-undiv_binary64_457`
63×	`prod-exp_binary64_472`
60×	`associate-/r*_binary64_367`
41×	`div-inv_binary64_420`
31×	`cbrt-unprod_binary64_456`
23×	`associate-/r/_binary64_369`
8×	`associate-r_binary64_363`
7×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `associate-/l*_binary64_368`
4×	`pow1_binary64_484` `add-log-exp_binary64_462` `unswap-sqr_binary64_391` `unpow-prod-down_binary64_502`
3×	`associate-l_binary64_364` `clear-num_binary64_422` `frac-2neg_binary64_434`
2×	`unpow2_binary64_488` `sqr-pow_binary64_395`
1×	`*-commutative_binary64_354`

Counts

4 → 359

Calls

4 calls:

23.0ms	(/.f64 2 (/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))))
15.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
14.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

series1.0s (3.6%)

Counts

4 → 12

Calls

4 calls:

335.0ms	(/.f64 2 (/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))))
323.0ms	(/.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)))
73.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

371 → 371

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5008	13754

prune2.6s (9.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	359	12	371
Fresh	12	7	19
Picked	1	0	1
Done	0	0	0
Total	372	19	391

Merged error: 1.5b

Counts

391 → 19

Compiler

Compiled 50205 to 33100 computations (34.1% saved)

regimes185.0ms (0.7%)

Compiler: Compiled 2076 to 1497 computations (27.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	32
1	22	32

end0.0ms (0%)

sample14.7s (52.1%)

Algorithm

1×

intervals

Results

4.8s	1300×	body	4096	invalid
2.5s	3867×	body	1024	valid
2.3s	1071×	body	2048	invalid
1.3s	1037×	body	2048	valid
1.2s	492×	body	4096	valid
557.0ms	1322×	body	512	valid
415.0ms	714×	body	1024	invalid
192.0ms	504×	body	512	invalid
155.0ms	502×	body	256	valid
141.0ms	1031×	body	128	invalid
109.0ms	780×	body	128	valid
78.0ms	294×	body	256	invalid

Compiler

Compiled 530 to 387 computations (27% saved)

Details

analyze2.6s (9.1%)

sample439.0ms (1.6%)

simplify182.0ms (0.6%)

prune11.0ms (0%)

localize19.0ms (0.1%)

rewrite84.0ms (0.3%)

series1.1s (4%)

simplify74.0ms (0.3%)

prune900.0ms (3.2%)

localize16.0ms (0.1%)

rewrite77.0ms (0.3%)

series995.0ms (3.5%)

simplify126.0ms (0.4%)

prune1.0s (3.6%)

localize17.0ms (0.1%)

rewrite65.0ms (0.2%)

series932.0ms (3.3%)

simplify105.0ms (0.4%)

prune655.0ms (2.3%)

localize16.0ms (0.1%)

rewrite122.0ms (0.4%)

series1.0s (3.6%)

simplify129.0ms (0.5%)

prune2.6s (9.4%)

regimes185.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample14.7s (52.1%)

Profiling