Details

analyze3.9s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5080	128
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
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample745.0ms (2%)

Algorithm

1×

intervals

Results

240.0ms	41×	body	4096	invalid
132.0ms	123×	body	1024	valid
104.0ms	34×	body	2048	invalid
65.0ms	14×	body	4096	valid
64.0ms	35×	body	2048	valid
36.0ms	28×	body	1024	invalid
32.0ms	43×	body	512	valid
11.0ms	16×	body	512	invalid
7.0ms	32×	body	128	invalid
7.0ms	15×	body	256	valid
6.0ms	26×	body	128	valid
3.0ms	6×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5185	32

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

38.7b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
0.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
14.4b	(/.f64 (pow.f64 t 3) (*.f64 l l))
27.7b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite879.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

25.4b

Rules

396×	`add-exp-log_binary64_457`
229×	`prod-exp_binary64_468`
115×	`div-exp_binary64_470`
65×	`add-cbrt-cube_binary64_455`
56×	`pow-exp_binary64_487`
40×	`times-frac_binary64_425`
38×	`pow-to-exp_binary64_488`
34×	`add-sqr-sqrt_binary64_441`
31×	`cbrt-unprod_binary64_452`
25×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
23×	`unpow-prod-down_binary64_498`
21×	`associate-r_binary64_359`
17×	`associate-l_binary64_360`
15×	`associate-/l*_binary64_364`
14×	`cbrt-undiv_binary64_453`
13×	`associate-*l/_binary64_362`
10×	`cube-prod_binary64_447`
6×	`pow1_binary64_480`
5×	`sqr-pow_binary64_391` `unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `tan-quot_binary64_578` `div-inv_binary64_416`
3×	`unpow3_binary64_485` `cube-mult_binary64_449` `associate-/r/_binary64_365`
2×	`frac-times_binary64_429` `associate-r/_binary64_361` `-commutative_binary64_350` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`
1×	`unpow2_binary64_484` `pow-prod-down_binary64_490`

Counts

4 → 221

Calls

4 calls:

46.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
39.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
21.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
13.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5328 to 2607 computations (51.1% saved)

series3.3s (8.8%)

Error

19.9b

Counts

4 → 41

Calls

4 calls:

1.6s	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
870.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
640.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
148.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 1990 to 1662 computations (16.5% saved)

simplify209.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4970	6577
1	4970	6577

prune493.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	252	10	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	10	263

Error

16.0b

Counts

263 → 10

Compiler

Compiled 3330 to 1739 computations (47.8% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.1b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
18.7b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite749.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

12.5b

Rules

163×	`add-exp-log_binary64_457`
102×	`prod-exp_binary64_468`
87×	`add-cbrt-cube_binary64_455`
48×	`cbrt-unprod_binary64_452`
27×	`div-exp_binary64_470`
15×	`cbrt-undiv_binary64_453` `add-sqr-sqrt_binary64_441`
10×	`pow1_binary64_480` `pow-to-exp_binary64_488` `pow-exp_binary64_487`
9×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-r*_binary64_359`
7×	`unpow-prod-down_binary64_498`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360` `unswap-sqr_binary64_387`
3×	`pow-prod-down_binary64_490` `unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-pow_binary64_491`

Counts

4 → 124

Calls

4 calls:

28.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
21.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
13.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3346 to 1274 computations (61.9% saved)

series2.1s (5.6%)

Error

16.0b

Counts

4 → 36

Calls

4 calls:

1.3s	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
386.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
255.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
69.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1697 to 1294 computations (23.7% saved)

simplify144.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5002	3050

prune333.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	150	10	160
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	152	18	170

Error

11.8b

Counts

170 → 18

Compiler

Compiled 2047 to 1026 computations (49.9% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.9b	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
14.6b	(/.f64 (.f64 l l) (.f64 k k))

rewrite669.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

134×	`add-exp-log_binary64_457`
74×	`add-cbrt-cube_binary64_455`
61×	`prod-exp_binary64_468`
44×	`div-exp_binary64_470`
29×	`cbrt-unprod_binary64_452`
24×	`cbrt-undiv_binary64_453`
15×	`add-sqr-sqrt_binary64_441`
9×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496`
2×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363`
1×	`associate-l/_binary64_362` `associate-/l/_binary64_366` `-commutative_binary64_350` `pow-pow_binary64_491`

Counts

4 → 116

Calls

4 calls:

25.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
13.0ms	(/.f64 (.f64 l l) (.f64 k k))
12.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3099 to 1090 computations (64.8% saved)

series1.9s (5.1%)

Error

11.8b

Counts

4 → 33

Calls

4 calls:

1.3s	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
277.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
193.0ms	(/.f64 (.f64 l l) (.f64 k k))
68.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1527 to 1189 computations (22.1% saved)

simplify128.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4971	2606
1	4971	2606

prune368.0ms (1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	140	9	149
Fresh	8	9	17
Picked	1	0	1
Done	0	0	0
Total	149	18	167

Error

5.4b

Counts

167 → 18

Compiler

Compiled 1942 to 938 computations (51.7% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k)))
0.4b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.9b	(/.f64 (.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite663.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

54×	`add-exp-log_binary64_457`
29×	`add-cbrt-cube_binary64_455`
25×	`prod-exp_binary64_468`
21×	`add-sqr-sqrt_binary64_441`
13×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
12×	`pow1_binary64_480` `div-exp_binary64_470`
11×	`cbrt-unprod_binary64_452` `associate-r_binary64_359`
7×	`unpow-prod-down_binary64_498`
6×	`cbrt-undiv_binary64_453` `associate-l_binary64_360`
5×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458`
3×	`unpow2_binary64_484` `sqr-pow_binary64_391` `pow-unpow_binary64_496` `swap-sqr_binary64_386`
2×	`*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `times-frac_binary64_425` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `associate-/r_binary64_363` `pow-pow_binary64_491` `pow2_binary64_500` `pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-plus_binary64_482` `sqr-abs_binary64_434` `pow-sqr_binary64_392`

Counts

4 → 102

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
12.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
7.0ms	(*.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k)))
5.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 2770 to 923 computations (66.7% saved)

series1.4s (3.7%)

Error

5.4b

Counts

4 → 33

Calls

4 calls:

1.1s	(/.f64 (.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))
169.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
79.0ms	(*.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k)))
39.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1611 to 1157 computations (28.2% saved)

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5133	2146

prune184.0ms (0.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	125	10	135
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	131	22	153

Error

2.1b

Counts

153 → 22

Compiler

Compiled 1695 to 696 computations (58.9% saved)

regimes5.1s (13.4%)

Accuracy

Total 4.6b remaining (60.8%)

Threshold costs 0b (0%)

Compiler

Compiled 46271 to 34320 computations (25.8% saved)

bsearch434.0ms (1.2%)

Steps

Iters	Range		Point
11	-2.8945294841923303e-83	-1.2120684079796774e-107	-7.942342797387742e-100
6	-0.0009704793250657911	-7.1476832547496e-05	-9.149498934587888e-05

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	90
1	43	90

end6.0ms (0%)

Compiler: Compiled 59 to 36 computations (39% saved)

sample13.8s (36.5%)

Algorithm

1×

intervals

Results

4.4s	1238×	body	4096	invalid
2.2s	3851×	body	1024	valid
2.2s	1098×	body	2048	invalid
1.1s	487×	body	4096	valid
1.0s	1005×	body	2048	valid
559.0ms	1378×	body	512	valid
419.0ms	688×	body	1024	invalid
192.0ms	473×	body	512	invalid
158.0ms	1123×	body	128	invalid
132.0ms	499×	body	256	valid
113.0ms	780×	body	128	valid
72.0ms	260×	body	256	invalid

Compiler

Compiled 618 to 471 computations (23.8% saved)

Details

analyze3.9s (10.3%)

sample745.0ms (2%)

simplify39.0ms (0.1%)

prune9.0ms (0%)

localize32.0ms (0.1%)

rewrite879.0ms (2.3%)

series3.3s (8.8%)

simplify209.0ms (0.6%)

prune493.0ms (1.3%)

localize30.0ms (0.1%)

rewrite749.0ms (2%)

series2.1s (5.6%)

simplify144.0ms (0.4%)

prune333.0ms (0.9%)

localize28.0ms (0.1%)

rewrite669.0ms (1.8%)

series1.9s (5.1%)

simplify128.0ms (0.3%)

prune368.0ms (1%)

localize29.0ms (0.1%)

rewrite663.0ms (1.8%)

series1.4s (3.7%)

simplify56.0ms (0.1%)

prune184.0ms (0.5%)

regimes5.1s (13.4%)

bsearch434.0ms (1.2%)

simplify6.0ms (0%)

end6.0ms (0%)

sample13.8s (36.5%)

Profiling