Details

analyze2.2s (8.8%)

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

38.0ms	78×	body	1024	valid
15.0ms	41×	body	512	valid
14.0ms	115×	body	128	valid
10.0ms	47×	body	128	invalid
5.0ms	22×	body	256	valid
1.0ms	4×	body	512	invalid
1.0ms	1×	body	1024	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4931	35
1	4931	35

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

Error

35.5b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
5.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
12.5b	(.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)))
19.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite463.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

19.7b

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:

22.0ms	(.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 (10.1%)

Error

25.9b

Counts

4 → 41

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)))
653.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
355.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
144.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 3054 to 2406 computations (21.2% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5133	4427

prune395.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	192	8	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	193	8	201

Error

16.4b

Counts

201 → 8

Compiler

Compiled 5708 to 3079 computations (46.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l)))
3.6b	(*.f64 (sin.f64 k) (/.f64 t l))
10.2b	(/.f64 (*.f64 t t) l)
12.5b	(.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)))

rewrite388.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

Rules

109×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
60×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
30×	`frac-times_binary64_429`
27×	`associate-*r/_binary64_361`
25×	`pow1_binary64_480`
23×	`associate-*l/_binary64_362`
22×	`add-sqr-sqrt_binary64_441`
21×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
19×	`*-un-lft-identity_binary64_419`
18×	`associate-r_binary64_359`
17×	`add-cube-cbrt_binary64_454`
16×	`times-frac_binary64_425`
14×	`pow-prod-down_binary64_490`
12×	`tan-quot_binary64_578`
11×	`associate-l_binary64_360`
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-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 → 156

Calls

4 calls:

29.0ms	(.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)))
11.0ms	(.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l)))
7.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
4.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5851 to 2010 computations (65.6% saved)

series2.0s (8.1%)

Error

16.3b

Counts

4 → 41

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)))
354.0ms	(.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l)))
227.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
96.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3089 to 2253 computations (27.1% saved)

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4989	4416
1	4989	4416

prune357.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	188	9	197
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	193	12	205

Error

9.6b

Counts

205 → 12

Compiler

Compiled 5878 to 2855 computations (51.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
1.3b	(/.f64 (*.f64 t (sin.f64 k)) l)
2.2b	(.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
12.5b	(.f64 (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite543.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

169×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
96×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
63×	`frac-times_binary64_429`
53×	`associate-*r/_binary64_361`
49×	`associate-*l/_binary64_362`
37×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
28×	`tan-quot_binary64_578`
27×	`pow1_binary64_480`
23×	`associate-/r/_binary64_365`
16×	`pow-prod-down_binary64_490` `flip3-+_binary64_422` `flip-+_binary64_393`
12×	`*-un-lft-identity_binary64_419`
10×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
7×	`associate-r_binary64_359`
6×	`times-frac_binary64_425`
4×	`add-log-exp_binary64_458` `associate-/l_binary64_364` `associate-/r_binary64_363`
2×	`associate-l_binary64_360` `*-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370`

Counts

4 → 185

Calls

4 calls:

28.0ms	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
26.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
13.0ms	(.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
5.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 7590 to 2568 computations (66.2% saved)

series3.3s (13.4%)

Error

9.5b

Counts

4 → 50

Calls

4 calls:

1.3s	(.f64 (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.0s	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 (*.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
674.0ms	(.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (/.f64 t l)) (tan.f64 k))
248.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 3899 to 2907 computations (25.4% saved)

simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4938	7058
1	4938	7058

prune441.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	228	7	235
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	232	15	247

Error

7.6b

Counts

247 → 15

Compiler

Compiled 7154 to 3938 computations (45% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (*.f64 (/.f64 t l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
1.3b	(/.f64 (*.f64 t (sin.f64 k)) l)
3.6b	(*.f64 (/.f64 t l) (tan.f64 k))
12.5b	(.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (*.f64 (/.f64 t l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite533.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

Rules

165×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
93×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
59×	`frac-times_binary64_429` `associate-*r/_binary64_361`
37×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
33×	`associate-*l/_binary64_362`
26×	`tan-quot_binary64_578`
24×	`pow1_binary64_480`
23×	`associate-/r/_binary64_365`
22×	`add-sqr-sqrt_binary64_441`
19×	`*-un-lft-identity_binary64_419`
17×	`add-cube-cbrt_binary64_454`
16×	`flip3-+_binary64_422` `flip-+_binary64_393` `times-frac_binary64_425`
14×	`pow-prod-down_binary64_490` `associate-l_binary64_360`
7×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `associate-/l_binary64_364` `associate-/r_binary64_363`
3×	`div-inv_binary64_416`
2×	`*-commutative_binary64_350` `unswap-sqr_binary64_387` `frac-2neg_binary64_430` `clear-num_binary64_418`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370`

Counts

4 → 192

Calls

4 calls:

25.0ms	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (*.f64 (/.f64 t l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
24.0ms	(.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (*.f64 (/.f64 t l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
9.0ms	(*.f64 (/.f64 t l) (tan.f64 k))
5.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 7869 to 2752 computations (65% saved)

series3.0s (12.1%)

Error

7.4b

Counts

4 → 51

Calls

4 calls:

1.3s	(.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (*.f64 (/.f64 t l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.0s	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (*.f64 (/.f64 t l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
429.0ms	(*.f64 (/.f64 t l) (tan.f64 k))
235.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 4068 to 2814 computations (30.8% saved)

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4990	7442
1	4990	7442

prune423.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	236	7	243
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	245	13	258

Error

7.1b

Counts

258 → 13

Compiler

Compiled 7399 to 2851 computations (61.5% saved)

regimes4.0s (16%)

Accuracy

Total 3.0b remaining (28.8%)

Threshold costs 0b (0%)

Compiler

Compiled 46540 to 34469 computations (25.9% saved)

bsearch183.0ms (0.7%)

Steps

Iters	Range		Point
9	5.9982188392338445e-143	3.335990562240819e-137	7.756230478653196e-143
8	-2.1026435014397455e-32	-1.4953748040006444e-36	-1.6876872750005436e-36

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	47	117
1	47	117

end4.0ms (0%)

Compiler: Compiled 77 to 46 computations (40.3% saved)

sample3.5s (13.9%)

Algorithm

1×

intervals

Results

1.3s	2674×	body	1024	valid
454.0ms	3573×	body	128	valid
427.0ms	1180×	body	512	valid
181.0ms	1467×	body	128	invalid
142.0ms	566×	body	256	valid
58.0ms	165×	body	512	invalid
34.0ms	67×	body	1024	invalid
24.0ms	99×	body	256	invalid
5.0ms	7×	body	2048	valid

Compiler

Compiled 436 to 325 computations (25.5% saved)

Details

analyze2.2s (8.8%)

sample104.0ms (0.4%)

simplify56.0ms (0.2%)

prune8.0ms (0%)

localize20.0ms (0.1%)

rewrite463.0ms (1.9%)

series2.5s (10.1%)

simplify94.0ms (0.4%)

prune395.0ms (1.6%)

localize18.0ms (0.1%)

rewrite388.0ms (1.6%)

series2.0s (8.1%)

simplify95.0ms (0.4%)

prune357.0ms (1.4%)

localize19.0ms (0.1%)

rewrite543.0ms (2.2%)

series3.3s (13.4%)

simplify131.0ms (0.5%)

prune441.0ms (1.8%)

localize19.0ms (0.1%)

rewrite533.0ms (2.1%)

series3.0s (12.1%)

simplify112.0ms (0.5%)

prune423.0ms (1.7%)

regimes4.0s (16%)

bsearch183.0ms (0.7%)

simplify3.0ms (0%)

end4.0ms (0%)

sample3.5s (13.9%)

Profiling