Details

analyze2.2s (9.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	140
1	4978	140
0	3	3
1	3	3

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
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample104.0ms (0.4%)

Algorithm

1×

intervals

Results

53.0ms	96×	body	1024	valid
14.0ms	115×	body	128	valid
10.0ms	27×	body	512	valid
5.0ms	39×	body	128	invalid
4.0ms	18×	body	256	valid
1.0ms	3×	body	512	invalid
1.0ms	2×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	35
1	4931	35

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

Error

31.1b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
4.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.7b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
16.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite347.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

18.6b

Rules

108×	`add-exp-log_binary64_457`
58×	`prod-exp_binary64_468`
52×	`add-cbrt-cube_binary64_455`
28×	`times-frac_binary64_425`
26×	`cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
24×	`div-exp_binary64_470`
20×	`pow1_binary64_480`
19×	`*-un-lft-identity_binary64_419`
18×	`associate-l_binary64_360`
17×	`add-cube-cbrt_binary64_454`
16×	`associate-*l/_binary64_362`
12×	`associate-/l*_binary64_364`
10×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447` `pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-r_binary64_359`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-undiv_binary64_453` `tan-quot_binary64_578`
6×	`associate-*r/_binary64_361`
5×	`unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `sqr-pow_binary64_391` `flip3-+_binary64_422` `flip-+_binary64_393`
3×	`unpow3_binary64_485` `cube-mult_binary64_449` `*-commutative_binary64_350`
2×	`div-inv_binary64_416`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370`

Counts

4 → 159

Calls

4 calls:

26.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
12.0ms	(.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))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5186 to 2726 computations (47.4% saved)

series1.6s (7.1%)

Error

22.5b

Counts

4 → 40

Calls

4 calls:

829.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
424.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
242.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
97.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2970 to 2339 computations (21.2% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5116	4390

prune287.0ms (1.2%)

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

Error

14.5b

Counts

200 → 11

Compiler

Compiled 5749 to 3119 computations (45.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
4.1b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
8.6b	(/.f64 (*.f64 t t) l)
11.7b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite297.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Rules

113×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
65×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
34×	`frac-times_binary64_429`
31×	`associate-*r/_binary64_361`
29×	`pow1_binary64_480`
27×	`associate-*l/_binary64_362`
20×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
17×	`pow-prod-down_binary64_490`
16×	`tan-quot_binary64_578`
15×	`add-sqr-sqrt_binary64_441`
14×	`associate-r_binary64_359`
13×	`*-un-lft-identity_binary64_419`
11×	`add-cube-cbrt_binary64_454`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
7×	`times-frac_binary64_425`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`-commutative_binary64_350` `associate-/r_binary64_363`
2×	`div-inv_binary64_416` `unswap-sqr_binary64_387`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l*_binary64_364`

Counts

4 → 151

Calls

4 calls:

26.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
17.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
8.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5716 to 1898 computations (66.8% saved)

series1.6s (6.8%)

Error

14.4b

Counts

4 → 42

Calls

4 calls:

819.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
428.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
206.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
68.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3224 to 2433 computations (24.5% saved)

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4957	4740
1	4957	4740

prune261.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	184	9	193
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	192	12	204

Error

9.2b

Counts

204 → 12

Compiler

Compiled 5803 to 2870 computations (50.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (/.f64 k t) 2)
3.9b	(*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))
4.1b	(.f64 (.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k))
11.7b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite378.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

111×	`add-exp-log_binary64_457`
108×	`add-cbrt-cube_binary64_455`
78×	`times-frac_binary64_425`
59×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
52×	`*-un-lft-identity_binary64_419`
51×	`associate-r_binary64_359`
50×	`add-cube-cbrt_binary64_454`
34×	`frac-times_binary64_429`
31×	`associate-*r/_binary64_361`
30×	`pow1_binary64_480`
27×	`associate-*l/_binary64_362`
24×	`div-exp_binary64_470`
23×	`cbrt-undiv_binary64_453`
17×	`pow-prod-down_binary64_490`
16×	`tan-quot_binary64_578`
13×	`unpow-prod-down_binary64_498`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
5×	`associate-l_binary64_360` `div-inv_binary64_416`
4×	`add-log-exp_binary64_458`
3×	`*-commutative_binary64_350` `unswap-sqr_binary64_387` `pow-unpow_binary64_496`
2×	`pow-exp_binary64_487`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `associate-/r/_binary64_365` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `unpow2_binary64_484` `sqr-pow_binary64_391`

Counts

4 → 197

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
20.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k))
16.0ms	(*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))
5.0ms	(pow.f64 (/.f64 k t) 2)

Compiler

Compiled 7436 to 2540 computations (65.8% saved)

series1.6s (6.8%)

Error

9.2b

Counts

4 → 42

Calls

4 calls:

825.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
432.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k))
192.0ms	(*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))
67.0ms	(pow.f64 (/.f64 k t) 2)

Compiler

Compiled 3260 to 2432 computations (25.4% saved)

simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4950	5882
1	4950	5882

prune305.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	230	9	239
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	236	15	251

Error

7.6b

Counts

251 → 15

Compiler

Compiled 7749 to 2942 computations (62% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 t (sin.f64 k))
0.6b	(/.f64 (*.f64 t (sin.f64 k)) (/.f64 l t))
4.1b	(.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t (sin.f64 k)) (/.f64 l t))) (tan.f64 k))
11.7b	(.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (.f64 t (sin.f64 k)) (/.f64 l t))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite309.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

137×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
65×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
40×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
34×	`frac-times_binary64_429`
31×	`times-frac_binary64_425`
27×	`associate-*l/_binary64_362`
24×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
22×	`add-cube-cbrt_binary64_454`
20×	`pow1_binary64_480`
16×	`tan-quot_binary64_578`
14×	`associate-*r/_binary64_361`
13×	`associate-/r*_binary64_363`
10×	`pow-prod-down_binary64_490` `associate-r_binary64_359`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`*-commutative_binary64_350` `div-inv_binary64_416`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r/_binary64_365` `associate-/l*_binary64_364` `unswap-sqr_binary64_387`

Counts

4 → 172

Calls

4 calls:

28.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (.f64 t (sin.f64 k)) (/.f64 l t))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.0ms	(.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t (sin.f64 k)) (/.f64 l t))) (tan.f64 k))
7.0ms	(/.f64 (*.f64 t (sin.f64 k)) (/.f64 l t))
4.0ms	(*.f64 t (sin.f64 k))

Compiler

Compiled 6560 to 2188 computations (66.6% saved)

series1.6s (6.8%)

Error

7.6b

Counts

4 → 45

Calls

4 calls:

814.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (.f64 t (sin.f64 k)) (/.f64 l t))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
426.0ms	(.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t (sin.f64 k)) (/.f64 l t))) (tan.f64 k))
191.0ms	(/.f64 (*.f64 t (sin.f64 k)) (/.f64 l t))
73.0ms	(*.f64 t (sin.f64 k))

Compiler

Compiled 3437 to 2530 computations (26.4% saved)

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4954	5643
1	4954	5643

prune246.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	214	3	217
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	216	16	232

Error

7.1b

Counts

232 → 16

Compiler

Compiled 6446 to 2487 computations (61.4% saved)

regimes2.9s (12.6%)

Accuracy

Total 2.6b remaining (25.2%)

Threshold costs 0b (0%)

Compiler

Compiled 40077 to 29520 computations (26.3% saved)

bsearch194.0ms (0.8%)

Steps

Iters	Range		Point
9	3.277776915759105e-76	6.090120429485968e-71	8.866292623119177e-76
10	-1.110635927863016e-62	-3.7138890515213915e-73	-5.086373656115926e-71

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	95
1	51	95

end0.0ms (0%)

sample8.4s (36.4%)

Algorithm

1×

intervals

Results

1.4s	2687×	body	1024	valid
597.0ms	3505×	body	128	valid
448.0ms	1213×	body	512	valid
175.0ms	1459×	body	128	invalid
152.0ms	584×	body	256	valid
53.0ms	147×	body	512	invalid
27.0ms	109×	body	256	invalid
26.0ms	52×	body	1024	invalid
8.0ms	11×	body	2048	valid

Compiler

Compiled 6558 to 4824 computations (26.4% saved)

Details

analyze2.2s (9.3%)

sample104.0ms (0.4%)

simplify58.0ms (0.3%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite347.0ms (1.5%)

series1.6s (7.1%)

simplify94.0ms (0.4%)

prune287.0ms (1.2%)

localize17.0ms (0.1%)

rewrite297.0ms (1.3%)

series1.6s (6.8%)

simplify81.0ms (0.4%)

prune261.0ms (1.1%)

localize17.0ms (0.1%)

rewrite378.0ms (1.6%)

series1.6s (6.8%)

simplify126.0ms (0.5%)

prune305.0ms (1.3%)

localize17.0ms (0.1%)

rewrite309.0ms (1.3%)

series1.6s (6.8%)

simplify127.0ms (0.5%)

prune246.0ms (1.1%)

regimes2.9s (12.6%)

bsearch194.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.4s (36.4%)

Profiling