Details

analyze3.9s (6.3%)

Algorithm

1×

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)

sample206.0ms (0.3%)

Algorithm

1×

intervals

Results

96.0ms	95×	body	1024	valid
28.0ms	115×	body	128	valid
22.0ms	31×	body	512	valid
17.0ms	39×	body	128	invalid
7.0ms	15×	body	256	valid
3.0ms	4×	body	512	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify290.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

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

30.4b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(.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))
12.6b	(.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)))
15.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite694.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

16.4b

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:

48.0ms	(.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)))
26.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
23.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
14.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5186 to 2726 computations (47.4% saved)

series3.2s (5.2%)

Error

22.2b

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)))
792.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
452.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
198.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 3301 to 2599 computations (21.3% saved)

simplify165.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5005	4654

prune563.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	193	9	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	9	203

Error

12.4b

Counts

203 → 9

Compiler

Compiled 5885 to 3194 computations (45.7% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
2.1b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
6.2b	(/.f64 (*.f64 t t) l)
12.6b	(.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)))

rewrite561.0ms (0.9%)

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:

56.0ms	(.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)))
30.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
16.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
10.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5716 to 1898 computations (66.8% saved)

series3.1s (5%)

Error

12.4b

Counts

4 → 43

Calls

4 calls:

1.6s	(.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)))
825.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
362.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
137.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3387 to 2576 computations (23.9% saved)

simplify205.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4963	4894
1	4963	4894

prune568.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	186	8	194
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	191	12	203

Error

8.5b

Counts

203 → 12

Compiler

Compiled 5863 to 2917 computations (50.2% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
1.1b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k))
3.1b	(.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))))
12.6b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite1.5s (2.5%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

416×	`add-exp-log_binary64_457`
366×	`add-cbrt-cube_binary64_455`
251×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
179×	`frac-times_binary64_429`
138×	`associate-*r/_binary64_361`
121×	`associate-*l/_binary64_362`
98×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
56×	`tan-quot_binary64_578`
47×	`associate-/r/_binary64_365`
40×	`pow1_binary64_480`
32×	`flip3-+_binary64_422` `flip-+_binary64_393`
26×	`pow-prod-down_binary64_490`
15×	`add-sqr-sqrt_binary64_441`
14×	`associate-r_binary64_359`
13×	`*-un-lft-identity_binary64_419`
11×	`add-cube-cbrt_binary64_454`
7×	`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 → 310

Calls

4 calls:

82.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
81.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
50.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k))
21.0ms	(.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))))

Compiler

Compiled 16029 to 4424 computations (72.4% saved)

series5.1s (8.4%)

Error

8.4b

Counts

4 → 58

Calls

4 calls:

1.7s	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
1.5s	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
884.0ms	(.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))))
837.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (tan.f64 k))

Compiler

Compiled 5259 to 3974 computations (24.4% saved)

simplify476.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

368 → 368

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	4929	13568
1	4929	13568

prune1.1s (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	354	14	368
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	360	20	380

Error

7.9b

Counts

380 → 20

Compiler

Compiled 13069 to 4921 computations (62.3% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 l)
0.6b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
3.1b	(.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))))
13.3b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))

rewrite1.6s (2.6%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

Rules

543×	`add-exp-log_binary64_457`
477×	`add-cbrt-cube_binary64_455`
318×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
162×	`frac-times_binary64_429`
141×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
135×	`associate-*r/_binary64_361`
82×	`associate-*l/_binary64_362`
48×	`tan-quot_binary64_578`
47×	`associate-/r/_binary64_365`
38×	`pow1_binary64_480`
32×	`flip3-+_binary64_422` `flip-+_binary64_393`
25×	`pow-prod-down_binary64_490`
14×	`add-sqr-sqrt_binary64_441`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`associate-r_binary64_359`
7×	`times-frac_binary64_425`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360`
3×	`associate-/l*_binary64_364` `cbrt-prod_binary64_450`
2×	`*-commutative_binary64_350` `unswap-sqr_binary64_387` `div-inv_binary64_416`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363` `pow1/3_binary64_501`

Counts

4 → 322

Calls

4 calls:

81.0ms	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
72.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
26.0ms	(.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))))
2.0ms	(cbrt.f64 l)

Compiler

Compiled 17688 to 5368 computations (69.7% saved)

series4.5s (7.4%)

Error

7.9b

Counts

4 → 51

Calls

4 calls:

1.7s	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
1.7s	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 t (cbrt.f64 l)))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
878.0ms	(.f64 (sin.f64 k) (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))))
149.0ms	(cbrt.f64 l)

Compiler

Compiled 4789 to 3543 computations (26% saved)

simplify363.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

373 → 373

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4970	15604
1	4970	15604

prune1.3s (2.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	369	4	373
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	374	19	393

Error

7.9b

Counts

393 → 19

Compiler

Compiled 13352 to 6137 computations (54% saved)

regimes9.5s (15.5%)

Accuracy

Total 5.3b remaining (41.6%)

Threshold costs 0b (0%)

Compiler

Compiled 51427 to 35932 computations (30.1% saved)

bsearch389.0ms (0.6%)

Steps

Iters	Range		Point
10	1.5829736224005846e-165	7.091175851949891e-151	6.364702243051122e-151
7	-2.737846253411533e-126	-2.707166775317524e-128	-1.61988277404358e-126

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	167
1	60	167

end0.0ms (0%)

sample21.6s (35.4%)

Algorithm

1×

intervals

Results

2.6s	2706×	body	1024	valid
873.0ms	1226×	body	512	valid
835.0ms	3488×	body	128	valid
319.0ms	1421×	body	128	invalid
275.0ms	571×	body	256	valid
109.0ms	161×	body	512	invalid
49.0ms	105×	body	256	invalid
48.0ms	51×	body	1024	invalid
13.0ms	9×	body	2048	valid

Compiler

Compiled 8515 to 5922 computations (30.5% saved)

Details

analyze3.9s (6.3%)

sample206.0ms (0.3%)

simplify290.0ms (0.5%)

prune9.0ms (0%)

localize36.0ms (0.1%)

rewrite694.0ms (1.1%)

series3.2s (5.2%)

simplify165.0ms (0.3%)

prune563.0ms (0.9%)

localize38.0ms (0.1%)

rewrite561.0ms (0.9%)

series3.1s (5%)

simplify205.0ms (0.3%)

prune568.0ms (0.9%)

localize47.0ms (0.1%)

rewrite1.5s (2.5%)

series5.1s (8.4%)

simplify476.0ms (0.8%)

prune1.1s (1.8%)

localize45.0ms (0.1%)

rewrite1.6s (2.6%)

series4.5s (7.4%)

simplify363.0ms (0.6%)

prune1.3s (2.2%)

regimes9.5s (15.5%)

bsearch389.0ms (0.6%)

simplify7.0ms (0%)

end0.0ms (0%)

sample21.6s (35.4%)

Profiling