Details

analyze2.1s (7.5%)

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)

sample105.0ms (0.4%)

Algorithm

1×

intervals

Results

46.0ms	92×	body	1024	valid
16.0ms	42×	body	512	valid
13.0ms	107×	body	128	valid
8.0ms	66×	body	128	invalid
4.0ms	15×	body	256	valid
1.0ms	3×	body	256	invalid
1.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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

32.3b

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 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
2.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.4b	(.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)))
16.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite353.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

18.2b

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:

23.0ms	(.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 5186 to 2726 computations (47.4% saved)

series1.7s (6%)

Error

21.1b

Counts

4 → 40

Calls

4 calls:

866.0ms	(.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)))
426.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
251.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
115.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2970 to 2339 computations (21.2% saved)

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5116	4390

prune316.0ms (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

13.3b

Counts

200 → 10

Compiler

Compiled 5707 to 3100 computations (45.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.1b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
3.2b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
6.6b	(/.f64 (*.f64 t t) l)
14.4b	(.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)))

rewrite328.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

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:

30.0ms	(.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)))
15.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
8.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5716 to 1898 computations (66.8% saved)

series1.7s (5.9%)

Error

13.2b

Counts

4 → 41

Calls

4 calls:

878.0ms	(.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)))
456.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
212.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
73.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3164 to 2393 computations (24.4% saved)

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4960	4676
1	4960	4676

prune273.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	182	10	192
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	189	13	202

Error

9.6b

Counts

202 → 13

Compiler

Compiled 5762 to 2852 computations (50.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
2.1b	(.f64 (.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k))
3.2b	(*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))
14.4b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite509.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

8.4b

Rules

173×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
92×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
72×	`times-frac_binary64_425`
63×	`frac-times_binary64_429`
54×	`associate-*r/_binary64_361`
53×	`add-sqr-sqrt_binary64_441`
51×	`associate-r_binary64_359`
49×	`associate-*l/_binary64_362`
46×	`*-un-lft-identity_binary64_419`
44×	`div-exp_binary64_470` `add-cube-cbrt_binary64_454` `cbrt-undiv_binary64_453`
29×	`pow1_binary64_480`
28×	`tan-quot_binary64_578`
24×	`associate-/r/_binary64_365`
17×	`pow-prod-down_binary64_490`
16×	`flip3-+_binary64_422` `flip-+_binary64_393`
5×	`associate-l_binary64_360` `div-inv_binary64_416`
4×	`add-log-exp_binary64_458`
3×	`-commutative_binary64_350` `unswap-sqr_binary64_387` `associate-/l_binary64_364`
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 → 230

Calls

4 calls:

32.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
32.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
18.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k))
17.0ms	(*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))

Compiler

Compiled 9281 to 3184 computations (65.7% saved)

series2.3s (8.1%)

Error

9.4b

Counts

4 → 48

Calls

4 calls:

878.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
700.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
448.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))) (tan.f64 k))
216.0ms	(*.f64 (sin.f64 k) (/.f64 t (/.f64 l t)))

Compiler

Compiled 3779 to 2897 computations (23.3% saved)

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4942	8296
1	4942	8296

prune405.0ms (1.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	270	8	278
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	274	17	291

Error

8.4b

Counts

291 → 17

Compiler

Compiled 9071 to 3509 computations (61.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
2.1b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (/.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t)))) (/.f64 (cbrt.f64 t) (/.f64 (cbrt.f64 l) (cbrt.f64 t))))) (tan.f64 k))
4.7b	(.f64 (sin.f64 k) (/.f64 t (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t))))
14.4b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t)))) (/.f64 (cbrt.f64 t) (/.f64 (cbrt.f64 l) (cbrt.f64 t))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite779.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

521×	`add-exp-log_binary64_457`
389×	`add-cbrt-cube_binary64_455`
289×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
157×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
98×	`frac-times_binary64_429`
79×	`associate-*r/_binary64_361`
67×	`associate-*l/_binary64_362`
53×	`times-frac_binary64_425`
42×	`associate-r_binary64_359`
40×	`pow1_binary64_480`
39×	`add-sqr-sqrt_binary64_441`
32×	`tan-quot_binary64_578`
30×	`*-un-lft-identity_binary64_419`
28×	`add-cube-cbrt_binary64_454`
26×	`pow-prod-down_binary64_490`
16×	`flip3-+_binary64_422` `flip-+_binary64_393`
13×	`cbrt-prod_binary64_450`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `div-inv_binary64_416`
3×	`*-commutative_binary64_350`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `associate-/r/_binary64_365` `pow1/3_binary64_501`

Counts

4 → 303

Calls

4 calls:

63.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t)))) (/.f64 (cbrt.f64 t) (/.f64 (cbrt.f64 l) (cbrt.f64 t))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
49.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (/.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t)))) (/.f64 (cbrt.f64 t) (/.f64 (cbrt.f64 l) (cbrt.f64 t))))) (tan.f64 k))
23.0ms	(.f64 (sin.f64 k) (/.f64 t (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)

Compiler

Compiled 18113 to 4024 computations (77.8% saved)

series2.2s (7.6%)

Error

8.4b

Counts

4 → 37

Calls

4 calls:

964.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t)))) (/.f64 (cbrt.f64 t) (/.f64 (cbrt.f64 l) (cbrt.f64 t))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
546.0ms	(.f64 (sin.f64 k) (/.f64 t (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t))))
516.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (/.f64 t (/.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 t)))) (/.f64 (cbrt.f64 t) (/.f64 (cbrt.f64 l) (cbrt.f64 t))))) (tan.f64 k))
82.0ms	(cbrt.f64 t)

Compiler

Compiled 3606 to 2694 computations (25.3% saved)

simplify199.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

340 → 340

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4976	14615
1	4976	14615

prune585.0ms (2.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	338	2	340
Fresh	2	13	15
Picked	0	1	1
Done	0	1	1
Total	340	17	357

Error

8.0b

Counts

357 → 17

Compiler

Compiled 14232 to 5254 computations (63.1% saved)

regimes4.2s (14.7%)

Accuracy

Total 3.4b remaining (30.8%)

Threshold costs 0b (0%)

Compiler

Compiled 53610 to 37256 computations (30.5% saved)

bsearch221.0ms (0.8%)

Steps

Iters	Range		Point
11	2.1018997239814185e-208	1.9376618047306414e-176	1.859552423715104e-177
10	-1.1933817023594264e-56	-3.247560525960429e-67	-3.400026457943122e-67

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	46	117
1	46	117

end0.0ms (0%)

sample9.7s (34.1%)

Algorithm

1×

intervals

Results

1.4s	2683×	body	1024	valid
460.0ms	1245×	body	512	valid
418.0ms	3466×	body	128	valid
172.0ms	1428×	body	128	invalid
148.0ms	598×	body	256	valid
39.0ms	108×	body	512	invalid
29.0ms	59×	body	1024	invalid
22.0ms	93×	body	256	invalid
6.0ms	8×	body	2048	valid

Compiler

Compiled 8796 to 6094 computations (30.7% saved)

Details

analyze2.1s (7.5%)

sample105.0ms (0.4%)

simplify60.0ms (0.2%)

prune9.0ms (0%)

localize17.0ms (0.1%)

rewrite353.0ms (1.2%)

series1.7s (6%)

simplify99.0ms (0.3%)

prune316.0ms (1.1%)

localize17.0ms (0.1%)

rewrite328.0ms (1.2%)

series1.7s (5.9%)

simplify97.0ms (0.3%)

prune273.0ms (1%)

localize18.0ms (0.1%)

rewrite509.0ms (1.8%)

series2.3s (8.1%)

simplify143.0ms (0.5%)

prune405.0ms (1.4%)

localize27.0ms (0.1%)

rewrite779.0ms (2.7%)

series2.2s (7.6%)

simplify199.0ms (0.7%)

prune585.0ms (2.1%)

regimes4.2s (14.7%)

bsearch221.0ms (0.8%)

simplify4.0ms (0%)

end0.0ms (0%)

sample9.7s (34.1%)

Profiling