Details

analyze2.2s (7.8%)

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

46.0ms	91×	body	1024	valid
18.0ms	116×	body	128	valid
11.0ms	30×	body	512	valid
4.0ms	19×	body	256	valid
4.0ms	37×	body	128	invalid
2.0ms	6×	body	512	invalid
1.0ms	2×	body	1024	invalid
1.0ms	4×	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

32.3b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
4.1b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.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)))
18.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite615.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

16.0b

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:

25.0ms	(.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 4439 to 2333 computations (47.4% saved)

series2.9s (10.5%)

Error

22.7b

Counts

4 → 43

Calls

4 calls:

1.6s	(.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)))
786.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
382.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
153.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2612 to 2167 computations (17% saved)

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5153	4579

prune262.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	192	10	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	193	10	203

Error

12.0b

Counts

203 → 10

Compiler

Compiled 3392 to 1903 computations (43.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
4.5b	(*.f64 (sin.f64 k) (/.f64 t l))
9.0b	(/.f64 (*.f64 t t) l)
11.7b	(.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)))

rewrite526.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

8.0b

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:

26.0ms	(.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))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5760 to 1898 computations (67% saved)

series2.7s (9.6%)

Error

12.0b

Counts

4 → 43

Calls

4 calls:

1.5s	(.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)))
798.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
239.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
102.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 2666 to 2123 computations (20.4% saved)

simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4985	4887
1	4985	4887

prune314.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	195	7	202
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	199	13	212

Error

8.6b

Counts

212 → 13

Compiler

Compiled 3567 to 1785 computations (50% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
2.0b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
4.5b	(*.f64 (sin.f64 k) (/.f64 t l))
11.7b	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite576.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

151×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
96×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
61×	`pow1_binary64_480`
52×	`associate-*r/_binary64_361`
41×	`pow-prod-down_binary64_490`
35×	`frac-times_binary64_429`
28×	`associate-*l/_binary64_362`
21×	`associate-r_binary64_359`
19×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `add-sqr-sqrt_binary64_441`
16×	`tan-quot_binary64_578` `*-un-lft-identity_binary64_419`
14×	`add-cube-cbrt_binary64_454`
10×	`times-frac_binary64_425`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
6×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `*-commutative_binary64_350`
2×	`unswap-sqr_binary64_387`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `div-inv_binary64_416`

Counts

4 → 177

Calls

4 calls:

30.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 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 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
11.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
7.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 6268 to 1950 computations (68.9% saved)

series3.0s (10.8%)

Error

8.6b

Counts

4 → 48

Calls

4 calls:

1.5s	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
790.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
376.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
252.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 2996 to 2394 computations (20.1% saved)

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4959	5662
1	4959	5662

prune317.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	217	8	225
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	226	12	238

Error

7.9b

Counts

238 → 12

Compiler

Compiled 3567 to 1752 computations (50.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
0.5b	(*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))
4.5b	(*.f64 (sin.f64 k) (/.f64 t l))
12.9b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))

rewrite591.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

Rules

151×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
96×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
61×	`pow1_binary64_480`
46×	`associate-*r/_binary64_361`
41×	`pow-prod-down_binary64_490`
32×	`frac-times_binary64_429`
21×	`add-sqr-sqrt_binary64_441`
20×	`associate-*l/_binary64_362`
19×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
18×	`associate-r_binary64_359`
16×	`*-un-lft-identity_binary64_419`
15×	`tan-quot_binary64_578`
14×	`add-cube-cbrt_binary64_454`
10×	`flip3-+_binary64_422` `flip-+_binary64_393` `times-frac_binary64_425`
9×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `*-commutative_binary64_350`
3×	`unswap-sqr_binary64_387`
1×	`div-inv_binary64_416` `distribute-lft-out_binary64_370`

Counts

4 → 174

Calls

4 calls:

26.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
14.0ms	(*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))
11.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
7.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 6343 to 2209 computations (65.2% saved)

series2.7s (9.8%)

Error

7.9b

Counts

4 → 50

Calls

4 calls:

1.5s	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
507.0ms	(*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))
371.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
257.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3132 to 2328 computations (25.7% saved)

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5002	5665

prune293.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	220	4	224
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	225	11	236

Error

7.9b

Counts

236 → 11

Compiler

Compiled 3334 to 1491 computations (55.3% saved)

regimes6.5s (23.3%)

Accuracy

Total 3.9b remaining (29.7%)

Threshold costs 0b (0%)

Compiler

Compiled 61606 to 46300 computations (24.8% saved)

bsearch204.0ms (0.7%)

Steps

Iters	Range		Point
8	5.8092938398536414e-123	1.491598578545428e-119	5.4872225611010954e-120
7	-6.75744411035504e-134	-1.582135569108673e-135	-6.664835724735966e-134

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	54	131
1	54	131

end4.0ms (0%)

Compiler: Compiled 86 to 50 computations (41.9% saved)

sample3.5s (12.6%)

Algorithm

1×

intervals

Results

1.4s	2752×	body	1024	valid
440.0ms	1156×	body	512	valid
438.0ms	3485×	body	128	valid
178.0ms	1443×	body	128	invalid
150.0ms	598×	body	256	valid
56.0ms	147×	body	512	invalid
34.0ms	67×	body	1024	invalid
27.0ms	107×	body	256	invalid
7.0ms	9×	body	2048	valid

Compiler

Compiled 409 to 305 computations (25.4% saved)

Details

analyze2.2s (7.8%)

sample104.0ms (0.4%)

simplify55.0ms (0.2%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite615.0ms (2.2%)

series2.9s (10.5%)

simplify94.0ms (0.3%)

prune262.0ms (0.9%)

localize18.0ms (0.1%)

rewrite526.0ms (1.9%)

series2.7s (9.6%)

simplify115.0ms (0.4%)

prune314.0ms (1.1%)

localize18.0ms (0.1%)

rewrite576.0ms (2.1%)

series3.0s (10.8%)

simplify99.0ms (0.4%)

prune317.0ms (1.1%)

localize17.0ms (0.1%)

rewrite591.0ms (2.1%)

series2.7s (9.8%)

simplify109.0ms (0.4%)

prune293.0ms (1.1%)

regimes6.5s (23.3%)

bsearch204.0ms (0.7%)

simplify4.0ms (0%)

end4.0ms (0%)

sample3.5s (12.6%)

Profiling