Details

analyze1.6s

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

sample150.0ms

Algorithm

intervals

Results

96.0ms	135×	body	1024	valid
19.0ms	59×	body	512	valid
17.0ms	18×	body	2048	valid
5.0ms	27×	body	256	valid
4.0ms	256×	pre	128	true
1.0ms	17×	body	128	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune1.0ms

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: 61.3b

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)))
4.3b	(log.f64 (+.f64 1 x))
4.4b	(log.f64 (-.f64 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
10×	`log-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
5×	`add-cbrt-cube_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `rem-log-exp_binary64` `div-sub_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

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))
4.0ms	(log.f64 (-.f64 1 x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
24.0ms	(log.f64 (+.f64 1 x))
25.0ms	(log.f64 (-.f64 1 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5117	1554

prune74.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.1b

Counts

80 → 4

localize6.0ms

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` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4999	181
1	4999	181

prune13.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	22	4	26

Merged error: 0.1b

Counts

26 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
2.1b	(log.f64 (-.f64 1 (*.f64 x x)))
4.3b	(log.f64 (+.f64 1 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64` `times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
9×	`log-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
5×	`add-cbrt-cube_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `rem-log-exp_binary64` `div-sub_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 69

Calls

3 calls:

6.0ms	(/.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))

series247.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
58.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
24.0ms	(log.f64 (+.f64 1 x))

simplify58.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4977	1819
1	4977	1819

prune70.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	79	3	82

Merged error: 0b

Counts

82 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x))
0.1b	(*.f64 (pow.f64 x 6) -1/3)
4.3b	(log.f64 (+.f64 1 x))
34.7b	(/.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)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `times-frac_binary64`
9×	`pow1_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
5×	`log-pow_binary64`
4×	`associate-/r*_binary64` `log-prod_binary64` `unpow-prod-down_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sqr-pow_binary64` `log-div_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `associate-+r-_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

5.0ms	(-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x))
5.0ms	(*.f64 (pow.f64 x 6) -1/3)
3.0ms	(log.f64 (+.f64 1 x))
13.0ms	(/.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)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(-.f64 (.f64 (pow.f64 x 4) -1/2) (.f64 x x))
62.0ms	(*.f64 (pow.f64 x 6) -1/3)
21.0ms	(log.f64 (+.f64 1 x))
120.0ms	(/.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)))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4992	2402
1	4992	2402

prune119.0ms

Filtered

73 candidates to 97 candidates (-32.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0b

Counts

100 → 3

regimes20.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.8s	4048×	body	1024	valid
672.0ms	2038×	body	512	valid
338.0ms	360×	body	2048	valid
165.0ms	988×	body	256	valid
136.0ms	8000×	pre	128	true
40.0ms	566×	body	128	valid

Details

analyze1.6s

sample150.0ms

simplify9.0ms

prune1.0ms

localize10.0ms

rewrite19.0ms

series173.0ms

simplify57.0ms

prune74.0ms

localize6.0ms

rewrite7.0ms

series37.0ms

simplify51.0ms

prune13.0ms

localize10.0ms

rewrite18.0ms

series247.0ms

simplify58.0ms

prune70.0ms

localize16.0ms

rewrite36.0ms

series333.0ms

simplify50.0ms

prune119.0ms

regimes20.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.4s

Profiling