Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

sample163.0ms

Algorithm

intervals

Results

97.0ms	106×	body	1280	valid
40.0ms	85×	body	640	valid
9.0ms	38×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	24×	body	160	valid
0.0ms	3×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 62.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.6b	(log.f64 (-.f64 1 x))
6.7b	(log.f64 (+.f64 1 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_574`
18×	`add-sqr-sqrt_binary64_559`
16×	`times-frac_binary64_569`
15×	`add-cube-cbrt_binary64_545` `pow1_binary64_520`
12×	`log-pow_binary64_495`
10×	`log-prod_binary64_492`
7×	`add-exp-log_binary64_538`
6×	`log-div_binary64_493`
5×	`add-cbrt-cube_binary64_546`
4×	`associate-/l_binary64_638` `associate-/r_binary64_637`
3×	`add-log-exp_binary64_539`
2×	`flip3--_binary64_573` `rem-log-exp_binary64_537` `flip--_binary64_600` `difference-of-squares_binary64_603` `div-sub_binary64_568`
1×	`div-inv_binary64_575` `div-exp_binary64_527` `flip3-+_binary64_572` `frac-2neg_binary64_567` `flip-+_binary64_599` `distribute-lft-out--_binary64_619` `clear-num_binary64_577` `distribute-lft-out_binary64_618` `cbrt-undiv_binary64_544`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series95.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
12.0ms	(log.f64 (-.f64 1 x))
11.0ms	(log.f64 (+.f64 1 x))

simplify86.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5566	1554

prune144.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Merged error: 0.1b

Counts

80 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64_520` `add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
3×	`add-sqr-sqrt_binary64_559` `cbrt-unprod_binary64_543` `associate-r_binary64_633` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
2×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
1×	`associate-l_binary64_634` `unswap-sqr_binary64_602` `*-commutative_binary64_642` `add-log-exp_binary64_539`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(*.f64 (*.f64 x x) 1/2)

simplify67.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4996	181
1	4996	181

prune45.0ms

Filtered

13 candidates to 22 candidates (-69.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Merged error: 0.1b

Counts

24 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.7b	(log.f64 (-.f64 1 (*.f64 x x)))
6.6b	(log.f64 (-.f64 1 x))
6.6b	(log.f64 (-.f64 1 x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64_492`
24×	`*-un-lft-identity_binary64_574`
22×	`add-sqr-sqrt_binary64_559`
11×	`pow1_binary64_520` `difference-of-squares_binary64_603`
10×	`log-div_binary64_493`
9×	`add-cube-cbrt_binary64_545`
7×	`distribute-lft-out--_binary64_619` `log-pow_binary64_495` `add-exp-log_binary64_538`
6×	`flip3--_binary64_573` `associate--r+_binary64_629` `flip--_binary64_600`
5×	`associate--l+_binary64_630`
4×	`add-cbrt-cube_binary64_546` `add-log-exp_binary64_539`
3×	`rem-log-exp_binary64_537`
2×	`associate--r-_binary64_632` `associate--l-_binary64_631`
1×	`diff-log_binary64_490` `sub-neg_binary64_578`

Counts

4 → 81

Calls

4 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
38.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
14.0ms	(log.f64 (-.f64 1 x))
19.0ms	(log.f64 (-.f64 1 x))

simplify76.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4997	1493
1	4997	1493

prune167.0ms

Filtered

73 candidates to 93 candidates (-27.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) -1/3)
6.6b	(log.f64 (-.f64 1 x))
6.6b	(log.f64 (-.f64 1 x))
28.9b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_574` `add-sqr-sqrt_binary64_559`
24×	`times-frac_binary64_569`
21×	`add-cube-cbrt_binary64_545`
18×	`pow1_binary64_520`
14×	`log-pow_binary64_495`
13×	`add-exp-log_binary64_538`
12×	`log-prod_binary64_492` `distribute-lft-out--_binary64_619`
9×	`difference-of-squares_binary64_603`
8×	`add-cbrt-cube_binary64_546`
7×	`associate-l_binary64_634`
6×	`log-div_binary64_493` `associate-/r*_binary64_637`
4×	`flip3--_binary64_573` `associate-/l*_binary64_638` `unpow-prod-down_binary64_509` `flip--_binary64_600` `add-log-exp_binary64_539`
3×	`unswap-sqr_binary64_602` `associate-r_binary64_633` `prod-exp_binary64_525`
2×	`associate-/r/_binary64_639` `sqr-pow_binary64_606` `rem-log-exp_binary64_537` `div-sub_binary64_568`
1×	`pow-to-exp_binary64_499` `div-inv_binary64_575` `pow-exp_binary64_498` `div-exp_binary64_527` `frac-2neg_binary64_567` `cbrt-unprod_binary64_543` `clear-num_binary64_577` `*-commutative_binary64_642` `cbrt-undiv_binary64_544`

Counts

4 → 109

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 x 6) -1/3)
3.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
17.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(*.f64 (pow.f64 x 6) -1/3)
11.0ms	(log.f64 (-.f64 1 x))
12.0ms	(log.f64 (-.f64 1 x))
43.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))

simplify110.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5291	3714

prune288.0ms

Filtered

82 candidates to 121 candidates (-47.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Merged error: 0b

Counts

123 → 2

regimes40.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.2s	3464×	body	1280	valid
1.1s	2517×	body	640	valid
284.0ms	1214×	body	320	valid
135.0ms	8000×	pre	80	true
84.0ms	605×	body	160	valid
12.0ms	200×	body	80	valid

Details

analyze1.4s

sample163.0ms

simplify13.0ms

prune3.0ms

localize10.0ms

rewrite15.0ms

series95.0ms

simplify86.0ms

prune144.0ms

localize8.0ms

rewrite7.0ms

series21.0ms

simplify67.0ms

prune45.0ms

localize14.0ms

rewrite22.0ms

series97.0ms

simplify76.0ms

prune167.0ms

localize23.0ms

rewrite34.0ms

series104.0ms

simplify110.0ms

prune288.0ms

regimes40.0ms

bsearch0.0ms

simplify9.0ms

end0.0ms

sample5.1s

Profiling