Details

analyze3.8s (8.3%)

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)

sample175.0ms (0.4%)

Algorithm

1×

intervals

Results

78.0ms	81×	body	1024	valid
30.0ms	50×	body	512	valid
21.0ms	107×	body	128	valid
10.0ms	47×	body	128	invalid
7.0ms	18×	body	256	valid
2.0ms	5×	body	256	invalid
1.0ms	2×	body	512	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4931	35
1	4931	35

prune9.0ms (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

32.5b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
3.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
13.4b	(.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)))
15.3b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite497.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

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:

42.0ms	(.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)))
14.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
13.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))

Compiler

Compiled 5186 to 2726 computations (47.4% saved)

series2.6s (5.6%)

Error

24.3b

Counts

4 → 40

Calls

4 calls:

1.3s	(.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)))
673.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
367.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
185.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2970 to 2339 computations (21.2% saved)

simplify162.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5116	4390

prune431.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	193	6	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	6	200

Error

18.3b

Counts

200 → 6

Compiler

Compiled 5603 to 3013 computations (46.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.6b	(*.f64 (sin.f64 k) (/.f64 t l))
3.8b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
10.2b	(/.f64 (*.f64 t t) l)
13.4b	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite434.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

Rules

120×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
70×	`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`
21×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `add-sqr-sqrt_binary64_441`
20×	`associate-r_binary64_359`
18×	`*-un-lft-identity_binary64_419`
17×	`pow-prod-down_binary64_490`
16×	`add-cube-cbrt_binary64_454` `tan-quot_binary64_578`
13×	`times-frac_binary64_425`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
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 → 159

Calls

4 calls:

35.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
10.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 6030 to 1992 computations (67% saved)

series2.5s (5.5%)

Error

18.3b

Counts

4 → 40

Calls

4 calls:

1.3s	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
739.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
273.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
142.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3048 to 2236 computations (26.6% saved)

simplify152.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4996	4698
1	4996	4698

prune414.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	190	9	199
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	195	10	205

Error

11.3b

Counts

205 → 10

Compiler

Compiled 5843 to 2851 computations (51.2% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
3.6b	(*.f64 (sin.f64 k) (/.f64 t l))
3.8b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
13.4b	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite735.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

8.1b

Rules

187×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
99×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
63×	`frac-times_binary64_429`
54×	`associate-*r/_binary64_361`
49×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-*l/_binary64_362`
29×	`pow1_binary64_480`
28×	`tan-quot_binary64_578`
23×	`associate-/r/_binary64_365`
21×	`add-sqr-sqrt_binary64_441`
20×	`associate-r_binary64_359`
18×	`*-un-lft-identity_binary64_419`
17×	`pow-prod-down_binary64_490`
16×	`add-cube-cbrt_binary64_454` `flip3-+_binary64_422` `flip-+_binary64_393`
13×	`times-frac_binary64_425`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`-commutative_binary64_350` `associate-/l_binary64_364`
2×	`unswap-sqr_binary64_387` `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_363`

Counts

4 → 202

Calls

4 calls:

63.0ms	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
61.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
18.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 8280 to 2770 computations (66.5% saved)

series3.1s (6.6%)

Error

11.2b

Counts

4 → 46

Calls

4 calls:

1.2s	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
862.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
673.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
247.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3515 to 2626 computations (25.3% saved)

simplify255.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4941	7248
1	4941	7248

prune587.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	240	8	248
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	245	13	258

Error

8.3b

Counts

258 → 13

Compiler

Compiled 7486 to 3785 computations (49.4% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (*.f64 t (sin.f64 k)) l)
2.3b	(.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))
5.8b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))))) (/.f64 l t))
11.6b	(.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))))

rewrite561.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

8.1b

Rules

120×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
62×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
29×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
28×	`associate-*r/_binary64_361`
25×	`associate-l_binary64_360`
22×	`add-sqr-sqrt_binary64_441`
20×	`pow1_binary64_480` `frac-times_binary64_429`
19×	`*-un-lft-identity_binary64_419`
17×	`add-cube-cbrt_binary64_454`
16×	`times-frac_binary64_425`
15×	`associate-r_binary64_359`
14×	`tan-quot_binary64_578`
12×	`associate-*l/_binary64_362`
11×	`associate-/r/_binary64_365`
10×	`pow-prod-down_binary64_490`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
4×	`add-log-exp_binary64_458`
3×	`-commutative_binary64_350` `div-inv_binary64_416` `associate-/r_binary64_363`
2×	`unswap-sqr_binary64_387`
1×	`distribute-lft-out_binary64_370` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l*_binary64_364`

Counts

4 → 156

Calls

4 calls:

64.0ms	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))))) (/.f64 l t))
39.0ms	(.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))))
19.0ms	(.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))
5.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 6235 to 2267 computations (63.6% saved)

series3.0s (6.4%)

Error

6.2b

Counts

4 → 46

Calls

4 calls:

1.2s	(.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))))
788.0ms	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l))))) (/.f64 l t))
591.0ms	(.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))
312.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 3573 to 2514 computations (29.6% saved)

simplify173.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4985	5825
1	4985	5825

prune453.0ms (1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	192	10	202
Fresh	5	6	11
Picked	0	1	1
Done	0	1	1
Total	197	18	215

Error

6.0b

Counts

215 → 18

Compiler

Compiled 6106 to 2422 computations (60.3% saved)

regimes7.3s (15.7%)

Accuracy

Total 3.4b remaining (35.7%)

Threshold costs 0b (0%)

Compiler

Compiled 52376 to 37591 computations (28.2% saved)

bsearch165.0ms (0.4%)

Steps

Iters	Range		Point
9	1.1423555924016803e-70	1.3430798322742427e-61	1.0951447378750355e-65
4	-8.241254579212496e-43	-5.082707410120067e-43	-6.8055237510985665e-43

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	139
1	51	139

end0.0ms (0%)

sample18.6s (40.2%)

Algorithm

1×

intervals

Results

2.4s	2693×	body	1024	valid
793.0ms	1291×	body	512	valid
737.0ms	3440×	body	128	valid
295.0ms	1405×	body	128	invalid
233.0ms	572×	body	256	valid
87.0ms	143×	body	512	invalid
50.0ms	54×	body	1024	invalid
42.0ms	103×	body	256	invalid
5.0ms	4×	body	2048	valid

Compiler

Compiled 8671 to 6201 computations (28.5% saved)

Details

analyze3.8s (8.3%)

sample175.0ms (0.4%)

simplify93.0ms (0.2%)

prune9.0ms (0%)

localize41.0ms (0.1%)

rewrite497.0ms (1.1%)

series2.6s (5.6%)

simplify162.0ms (0.3%)

prune431.0ms (0.9%)

localize37.0ms (0.1%)

rewrite434.0ms (0.9%)

series2.5s (5.5%)

simplify152.0ms (0.3%)

prune414.0ms (0.9%)

localize38.0ms (0.1%)

rewrite735.0ms (1.6%)

series3.1s (6.6%)

simplify255.0ms (0.5%)

prune587.0ms (1.3%)

localize28.0ms (0.1%)

rewrite561.0ms (1.2%)

series3.0s (6.4%)

simplify173.0ms (0.4%)

prune453.0ms (1%)

regimes7.3s (15.7%)

bsearch165.0ms (0.4%)

simplify4.0ms (0%)

end0.0ms (0%)

sample18.6s (40.2%)

Profiling