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

sample157.0ms

Algorithm

intervals

Results

96.0ms	103×	body	1280	valid
36.0ms	79×	body	640	valid
8.0ms	37×	body	320	valid
5.0ms	256×	pre	80	true
4.0ms	31×	body	160	valid
0.0ms	6×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	44	9
1	44	9

prune2.0ms

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: 60.9b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
7.9b	(log.f64 (+.f64 1 x))
8.0b	(log.f64 (-.f64 1 x))

rewrite16.0ms

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

series17.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.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))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5025	988

prune70.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize5.0ms

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)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4976	123
1	4976	123

prune11.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
4.9b	(log.f64 (-.f64 1 (*.f64 x x)))
8.0b	(log.f64 (-.f64 1 x))
8.0b	(log.f64 (-.f64 1 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `difference-of-squares_binary64`
10×	`log-div_binary64`
9×	`add-cube-cbrt_binary64`
7×	`log-pow_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64`
6×	`associate--r+_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate--l+_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`rem-log-exp_binary64`
2×	`associate--l-_binary64` `associate--r-_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

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)))
4.0ms	(log.f64 (-.f64 1 x))
5.0ms	(log.f64 (-.f64 1 x))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
6.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5329	959

prune67.0ms

Filtered

72 candidates to 93 candidates (-29.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) -1/3)
8.0b	(log.f64 (-.f64 1 x))
8.0b	(log.f64 (-.f64 1 x))
28.7b	(/.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))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
14×	`log-pow_binary64`
13×	`add-exp-log_binary64`
12×	`log-prod_binary64` `distribute-lft-out--_binary64`
9×	`difference-of-squares_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `log-div_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `unpow-prod-down_binary64` `associate-/l*_binary64` `flip--_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`rem-log-exp_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 x 6) -1/3)
4.0ms	(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))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 x 6) -1/3)
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))
11.0ms	(/.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))))

simplify60.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5098	2414

prune116.0ms

Filtered

81 candidates to 121 candidates (-49.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	122	2	124

Merged error: 0b

Counts

124 → 2

regimes15.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	9
1	52	9

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.2s	3434×	body	1280	valid
1.1s	2378×	body	640	valid
315.0ms	1288×	body	320	valid
153.0ms	8000×	pre	80	true
94.0ms	661×	body	160	valid
15.0ms	239×	body	80	valid

Details

analyze1.4s

sample157.0ms

simplify6.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series17.0ms

simplify45.0ms

prune70.0ms

localize5.0ms

rewrite7.0ms

series4.0ms

simplify43.0ms

prune11.0ms

localize12.0ms

rewrite24.0ms

series18.0ms

simplify53.0ms

prune67.0ms

localize16.0ms

rewrite33.0ms

series21.0ms

simplify60.0ms

prune116.0ms

regimes15.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.0s

Profiling