Details

analyze2.7s (10.7%)

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)

sample497.0ms (2%)

Algorithm

1×

intervals

Results

186.0ms	49×	body	4096	invalid
109.0ms	40×	body	2048	invalid
99.0ms	144×	body	1024	valid
22.0ms	21×	body	2048	valid
17.0ms	41×	body	512	valid
14.0ms	7×	body	4096	valid
12.0ms	21×	body	1024	invalid
6.0ms	17×	body	512	invalid
4.0ms	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)

simplify181.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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: 38.7b

Counts

2 → 1

Compiler

Compiled 88 to 72 computations (18.2% 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))

rewrite83.0ms (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:

22.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
17.0ms	(.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 (4.5%)

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))
327.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
113.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
45.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5170	4255

prune673.0ms (2.7%)

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 12317 to 7945 computations (35.5% 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)))

rewrite51.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

163×	`add-exp-log_binary64_461`
102×	`prod-exp_binary64_472`
87×	`add-cbrt-cube_binary64_459`
48×	`cbrt-unprod_binary64_456`
27×	`div-exp_binary64_474`
15×	`add-sqr-sqrt_binary64_445` `cbrt-undiv_binary64_457`
10×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `pow1_binary64_484`
9×	`-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `associate-r*_binary64_363`
7×	`unpow-prod-down_binary64_502`
4×	`associate-l_binary64_364` `add-log-exp_binary64_462` `unswap-sqr_binary64_391`
3×	`pow-prod-down_binary64_494` `pow-unpow_binary64_500` `unpow2_binary64_488` `sqr-pow_binary64_395`
2×	`*-commutative_binary64_354`
1×	`times-frac_binary64_429` `clear-num_binary64_422` `pow-pow_binary64_495` `frac-2neg_binary64_434` `div-inv_binary64_420` `associate-/l_binary64_368` `associate-/r_binary64_367`

Counts

4 → 124

Calls

4 calls:

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))
3.0ms	(pow.f64 (sin.f64 k) 2)

series518.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

299.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
109.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
83.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
27.0ms	(pow.f64 (sin.f64 k) 2)

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5284	2583

prune337.0ms (1.4%)

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 6740 to 3942 computations (41.5% saved)

localize17.0ms (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)))

rewrite66.0ms (0.3%)

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:

17.0ms	(/.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)

series880.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

490.0ms	(/.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)))
72.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
26.0ms	(pow.f64 (sin.f64 k) 2)

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4961	4249
1	4961	4249

prune1.0s (4.1%)

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 19300 to 12755 computations (33.9% saved)

localize16.0ms (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_461`
89×	`times-frac_binary64_429`
80×	`add-cbrt-cube_binary64_459`
57×	`div-exp_binary64_474`
44×	`add-sqr-sqrt_binary64_445`
43×	`prod-exp_binary64_472`
38×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
37×	`cbrt-undiv_binary64_457`
21×	`cbrt-unprod_binary64_456`
19×	`associate-/r*_binary64_367`
12×	`div-inv_binary64_420`
8×	`associate-r_binary64_363`
7×	`unpow-prod-down_binary64_502`
6×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `associate-/r/_binary64_369`
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` `pow-pow_binary64_495`

Counts

4 → 175

Calls

4 calls:

15.0ms	(/.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)))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

series734.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

338.0ms	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
294.0ms	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))
77.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
25.0ms	(pow.f64 (sin.f64 k) 2)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4948	4733
1	4948	4733

prune1.1s (4.3%)

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 20861 to 13545 computations (35.1% saved)

regimes185.0ms (0.7%)

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%)

sample14.3s (57.6%)

Algorithm

1×

intervals

Results

4.6s	1183×	body	4096	invalid
2.6s	3956×	body	1024	valid
2.2s	1078×	body	2048	invalid
1.2s	475×	body	4096	valid
1.1s	976×	body	2048	valid
577.0ms	1343×	body	512	valid
392.0ms	662×	body	1024	invalid
196.0ms	490×	body	512	invalid
145.0ms	1015×	body	128	invalid
132.0ms	469×	body	256	valid
121.0ms	781×	body	128	valid
77.0ms	249×	body	256	invalid

Compiler

Compiled 537 to 385 computations (28.3% saved)

Details

analyze2.7s (10.7%)

sample497.0ms (2%)

simplify181.0ms (0.7%)

prune7.0ms (0%)

localize19.0ms (0.1%)

rewrite83.0ms (0.3%)

series1.1s (4.5%)

simplify73.0ms (0.3%)

prune673.0ms (2.7%)

localize17.0ms (0.1%)

rewrite51.0ms (0.2%)

series518.0ms (2.1%)

simplify55.0ms (0.2%)

prune337.0ms (1.4%)

localize17.0ms (0.1%)

rewrite66.0ms (0.3%)

series880.0ms (3.5%)

simplify106.0ms (0.4%)

prune1.0s (4.1%)

localize16.0ms (0.1%)

rewrite58.0ms (0.2%)

series734.0ms (2.9%)

simplify135.0ms (0.5%)

prune1.1s (4.3%)

regimes185.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample14.3s (57.6%)

Profiling