Details

analyze2.7s (10.3%)

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)

sample461.0ms (1.8%)

Algorithm

1×

intervals

Results

172.0ms	41×	body	4096	invalid
78.0ms	113×	body	1024	valid
58.0ms	30×	body	2048	invalid
35.0ms	34×	body	2048	valid
32.0ms	14×	body	4096	valid
21.0ms	49×	body	512	valid
21.0ms	36×	body	1024	invalid
6.0ms	44×	body	128	invalid
6.0ms	15×	body	512	invalid
5.0ms	18×	body	256	valid
4.0ms	28×	body	128	valid
2.0ms	7×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify180.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5185	32

prune7.0ms (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: 42.6b

Counts

2 → 1

Compiler

Compiled 88 to 72 computations (18.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
1.5b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
16.9b	(/.f64 (pow.f64 t 3) (*.f64 l l))
30.4b	(.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 (0.3%)

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

series1.2s (4.5%)

Counts

4 → 12

Calls

4 calls:

662.0ms	(.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))
125.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
44.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5170	4255

prune661.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	190	9	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	9	200

Merged error: 14.3b

Counts

200 → 9

Compiler

Compiled 11473 to 7384 computations (35.6% 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))))
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.9b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
17.6b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite83.0ms (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:

17.0ms	(/.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))

series979.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

501.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
296.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
107.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
75.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4957	5209
1	4957	5209

prune1.1s (4.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	184	12	196
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	187	18	205

Merged error: 8.8b

Counts

205 → 18

Compiler

Compiled 21022 to 14048 computations (33.2% 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))))
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
17.6b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite63.0ms (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))))
15.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series904.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

518.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
294.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
66.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
25.0ms	(pow.f64 (sin.f64 k) 2)

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4961	4249
1	4961	4249

prune992.0ms (3.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	163	21	184

Merged error: 7.9b

Counts

184 → 21

Compiler

Compiled 19065 to 12858 computations (32.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.9b	(/.f64 k (*.f64 l l))
11.4b	(.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite67.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

208×	`add-exp-log_binary64_461`
133×	`add-cbrt-cube_binary64_459`
94×	`prod-exp_binary64_472`
75×	`div-exp_binary64_474`
52×	`cbrt-unprod_binary64_456`
49×	`cbrt-undiv_binary64_457`
25×	`add-sqr-sqrt_binary64_445`
15×	`-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `associate-r*_binary64_363`
13×	`times-frac_binary64_429`
10×	`associate-l_binary64_364`
7×	`pow-to-exp_binary64_492` `pow-exp_binary64_491`
6×	`pow1_binary64_484` `unswap-sqr_binary64_391` `associate-/l*_binary64_368`
4×	`add-log-exp_binary64_462` `div-inv_binary64_420` `unpow-prod-down_binary64_502`
3×	`associate-/r/_binary64_369`
2×	`frac-times_binary64_433` `associate-r/_binary64_365` `associate-l/_binary64_366` `-commutative_binary64_354` `clear-num_binary64_422` `frac-2neg_binary64_434` `unpow2_binary64_488` `associate-/r_binary64_367` `sqr-pow_binary64_395`
1×	`pow-prod-down_binary64_494`

Counts

4 → 158

Calls

4 calls:

15.0ms	(.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
15.0ms	(/.f64 2 (.f64 (/.f64 k (.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))
5.0ms	(/.f64 k (*.f64 l l))

series773.0ms (3%)

Counts

4 → 12

Calls

4 calls:

337.0ms	(.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
328.0ms	(/.f64 2 (.f64 (/.f64 k (.f64 l l)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
75.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
32.0ms	(/.f64 k (*.f64 l l))

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5032	3931

prune793.0ms (3.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	161	9	170
Fresh	7	13	20
Picked	1	0	1
Done	0	0	0
Total	169	22	191

Merged error: 3.5b

Counts

191 → 22

Compiler

Compiled 14772 to 9897 computations (33% saved)

regimes207.0ms (0.8%)

Compiler: Compiled 2253 to 1709 computations (24.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	41
1	22	41

end0.0ms (0%)

sample14.2s (54.8%)

Algorithm

1×

intervals

Results

4.4s	1145×	body	4096	invalid
2.8s	3904×	body	1024	valid
2.1s	1048×	body	2048	invalid
1.1s	976×	body	2048	valid
1.1s	460×	body	4096	valid
606.0ms	1381×	body	512	valid
403.0ms	699×	body	1024	invalid
201.0ms	517×	body	512	invalid
152.0ms	1107×	body	128	invalid
135.0ms	477×	body	256	valid
116.0ms	802×	body	128	valid
74.0ms	286×	body	256	invalid

Compiler

Compiled 561 to 424 computations (24.4% saved)

Details

analyze2.7s (10.3%)

sample461.0ms (1.8%)

simplify180.0ms (0.7%)

prune7.0ms (0%)

localize21.0ms (0.1%)

rewrite82.0ms (0.3%)

series1.2s (4.5%)

simplify80.0ms (0.3%)

prune661.0ms (2.6%)

localize16.0ms (0.1%)

rewrite83.0ms (0.3%)

series979.0ms (3.8%)

simplify126.0ms (0.5%)

prune1.1s (4.4%)

localize17.0ms (0.1%)

rewrite63.0ms (0.2%)

series904.0ms (3.5%)

simplify112.0ms (0.4%)

prune992.0ms (3.8%)

localize16.0ms (0.1%)

rewrite67.0ms (0.3%)

series773.0ms (3%)

simplify95.0ms (0.4%)

prune793.0ms (3.1%)

regimes207.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample14.2s (54.8%)

Profiling