Details

analyze2.2s (7.2%)

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)

sample109.0ms (0.4%)

Algorithm

1×

intervals

Results

51.0ms	92×	body	1024	valid
16.0ms	44×	body	512	valid
13.0ms	101×	body	128	valid
6.0ms	47×	body	128	invalid
4.0ms	18×	body	256	valid
1.0ms	3×	body	1024	invalid
1.0ms	3×	body	512	invalid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

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

34.2b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
3.0b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
14.2b	(.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)))
17.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite388.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

20.3b

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))
10.0ms	(.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)

series2.5s (8.1%)

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)))
671.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
362.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
165.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2970 to 2339 computations (21.2% saved)

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5116	4390

prune334.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	189	10	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	10	200

Error

15.7b

Counts

200 → 10

Compiler

Compiled 5713 to 3101 computations (45.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
3.3b	(*.f64 (sin.f64 k) (/.f64 t l))
9.9b	(/.f64 (*.f64 t t) l)
14.2b	(.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)))

rewrite331.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

11.7b

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:

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

Compiler

Compiled 6030 to 1992 computations (67% saved)

series2.3s (7.4%)

Error

15.6b

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)))
639.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
231.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
110.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3048 to 2236 computations (26.6% saved)

simplify98.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4996	4698
1	4996	4698

prune312.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	189	10	199
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	196	13	209

Error

11.6b

Counts

209 → 13

Compiler

Compiled 5916 to 2907 computations (50.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(/.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))))
2.9b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
3.3b	(*.f64 (sin.f64 k) (/.f64 t l))
14.2b	(.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)))

rewrite499.0ms (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:

34.0ms	(/.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))))
30.0ms	(.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)))
17.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
7.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 8280 to 2770 computations (66.5% saved)

series3.3s (10.6%)

Error

11.5b

Counts

4 → 50

Calls

4 calls:

1.3s	(.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)))
1.1s	(/.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))))
627.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
223.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3997 to 2974 computations (25.6% saved)

simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5087	7775

prune428.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	245	7	252
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	250	15	265

Error

8.5b

Counts

265 → 15

Compiler

Compiled 7872 to 3840 computations (51.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 (*.f64 t (sin.f64 k)) l)
2.8b	(.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))
7.7b	(.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))
11.4b	(.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))))

rewrite363.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

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:

29.0ms	(.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))
18.0ms	(.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (/.f64 (.f64 t (sin.f64 k)) l))))
9.0ms	(.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))
8.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 6235 to 2267 computations (63.6% saved)

series3.2s (10.2%)

Error

7.5b

Counts

4 → 51

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))))
1.1s	(.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))
612.0ms	(.f64 (tan.f64 k) (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)))
249.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 4153 to 2923 computations (29.6% saved)

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4993	6319
1	4993	6319

prune324.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	201	6	207
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	207	15	222

Error

7.1b

Counts

222 → 15

Compiler

Compiled 6406 to 2554 computations (60.1% saved)

regimes4.5s (14.5%)

Accuracy

Total 3.9b remaining (36.8%)

Threshold costs 0b (0%)

Compiler

Compiled 45046 to 33512 computations (25.6% saved)

bsearch193.0ms (0.6%)

Steps

Iters	Range		Point
9	1171.3221601346472	131662635572.14392	1733.5357186408837
8	-1.5213057950648578e-105	-2.9802503901935544e-108	-2.1652532132985465e-106

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	60	151
1	60	151

end0.0ms (0%)

sample9.2s (29.8%)

Algorithm

1×

intervals

Results

1.4s	2707×	body	1024	valid
480.0ms	1285×	body	512	valid
442.0ms	3463×	body	128	valid
186.0ms	1442×	body	128	invalid
136.0ms	534×	body	256	valid
54.0ms	140×	body	512	invalid
28.0ms	56×	body	1024	invalid
23.0ms	91×	body	256	invalid
11.0ms	11×	body	2048	valid

Compiler

Compiled 7460 to 5531 computations (25.9% saved)

Details

analyze2.2s (7.2%)

sample109.0ms (0.4%)

simplify55.0ms (0.2%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite388.0ms (1.3%)

series2.5s (8.1%)

simplify94.0ms (0.3%)

prune334.0ms (1.1%)

localize17.0ms (0.1%)

rewrite331.0ms (1.1%)

series2.3s (7.4%)

simplify98.0ms (0.3%)

prune312.0ms (1%)

localize18.0ms (0.1%)

rewrite499.0ms (1.6%)

series3.3s (10.6%)

simplify100.0ms (0.3%)

prune428.0ms (1.4%)

localize17.0ms (0.1%)

rewrite363.0ms (1.2%)

series3.2s (10.2%)

simplify92.0ms (0.3%)

prune324.0ms (1%)

regimes4.5s (14.5%)

bsearch193.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample9.2s (29.8%)

Profiling