Details

analyze2.7s (10.9%)

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)

sample385.0ms (1.6%)

Algorithm

1×

intervals

Results

109.0ms	37×	body	4096	invalid
84.0ms	129×	body	1024	valid
59.0ms	32×	body	2048	invalid
42.0ms	38×	body	2048	valid
23.0ms	45×	body	512	valid
19.0ms	7×	body	4096	valid
11.0ms	20×	body	1024	invalid
6.0ms	14×	body	512	invalid
5.0ms	17×	body	256	valid
4.0ms	31×	body	128	invalid
3.0ms	20×	body	128	valid
3.0ms	11×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify188.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5185	32

prune8.0ms (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: 35.2b

Counts

2 → 1

Compiler

Compiled 88 to 72 computations (18.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
1.7b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
12.4b	(/.f64 (pow.f64 t 3) (*.f64 l l))
25.8b	(.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:

24.0ms	(.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))
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 (4.7%)

Counts

4 → 12

Calls

4 calls:

642.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
328.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
122.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
42.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5170	4255

prune819.0ms (3.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	191	8	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	192	8	200

Merged error: 15.3b

Counts

200 → 8

Compiler

Compiled 14373 to 9327 computations (35.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.3b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
18.0b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite52.0ms (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)

series491.0ms (2%)

Counts

4 → 12

Calls

4 calls:

295.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
99.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
72.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
25.0ms	(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	5284	2583

prune400.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	132	12	144

Merged error: 12.4b

Counts

144 → 12

Compiler

Compiled 7651 to 4521 computations (40.9% saved)

localize18.0ms (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)
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
18.0b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite64.0ms (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:

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)

series909.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

517.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k))))
285.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (*.f64 l l) (cos.f64 k)))
82.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
24.0ms	(pow.f64 (sin.f64 k) 2)

simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4961	4249
1	4961	4249

prune681.0ms (2.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	160	6	166
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	164	14	178

Merged error: 11.5b

Counts

178 → 14

Compiler

Compiled 12682 to 8228 computations (35.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.0b	(*.f64 t (pow.f64 (sin.f64 k) 2))
2.3b	(/.f64 k (/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))))
15.3b	(/.f64 (.f64 l l) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)))

rewrite60.0ms (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)

series724.0ms (3%)

Counts

4 → 12

Calls

4 calls:

333.0ms	(/.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)))
70.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
26.0ms	(pow.f64 (sin.f64 k) 2)

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4948	4733
1	4948	4733

prune1.0s (4.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	179	8	187
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	185	16	201

Merged error: 2.1b

Counts

201 → 16

Compiler

Compiled 18476 to 12389 computations (32.9% saved)

regimes159.0ms (0.7%)

Compiler: Compiled 1639 to 1262 computations (23% 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%)

sample14.1s (57.8%)

Algorithm

1×

intervals

Results

4.3s	1215×	body	4096	invalid
2.6s	3910×	body	1024	valid
2.3s	1081×	body	2048	invalid
1.2s	1026×	body	2048	valid
1.1s	458×	body	4096	valid
600.0ms	1318×	body	512	valid
444.0ms	712×	body	1024	invalid
185.0ms	475×	body	512	invalid
147.0ms	1052×	body	128	invalid
145.0ms	479×	body	256	valid
124.0ms	809×	body	128	valid
87.0ms	313×	body	256	invalid

Compiler

Compiled 423 to 325 computations (23.2% saved)

Details

analyze2.7s (10.9%)

sample385.0ms (1.6%)

simplify188.0ms (0.8%)

prune8.0ms (0%)

localize21.0ms (0.1%)

rewrite82.0ms (0.3%)

series1.1s (4.7%)

simplify75.0ms (0.3%)

prune819.0ms (3.4%)

localize20.0ms (0.1%)

rewrite52.0ms (0.2%)

series491.0ms (2%)

simplify57.0ms (0.2%)

prune400.0ms (1.6%)

localize18.0ms (0.1%)

rewrite64.0ms (0.3%)

series909.0ms (3.7%)

simplify105.0ms (0.4%)

prune681.0ms (2.8%)

localize17.0ms (0.1%)

rewrite60.0ms (0.2%)

series724.0ms (3%)

simplify137.0ms (0.6%)

prune1.0s (4.1%)

regimes159.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample14.1s (57.8%)

Profiling