Details

analyze1.5s

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

sample154.0ms

Algorithm

intervals

Results

99.0ms	109×	body	1280	valid
30.0ms	68×	body	640	valid
10.0ms	45×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	22×	body	160	valid
1.0ms	12×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	44	9
1	44	9

prune4.0ms

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: 60.2b

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)))
6.5b	(log.f64 (+.f64 1 x))
6.6b	(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)))
3.0ms	(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))

simplify41.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5025	988

prune66.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Merged error: 0.1b

Counts

80 → 6

localize7.0ms

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)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4976	123
1	4976	123

prune13.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	22	6	28

Merged error: 0.1b

Counts

28 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(/.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (+.f64 1 x)))
3.3b	(log.f64 (-.f64 1 (*.f64 x x)))
6.5b	(log.f64 (+.f64 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

3.0ms	(-.f64 1 (*.f64 x x))
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))

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 1 (*.f64 x x))
13.0ms	(/.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))

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5029	1273

prune60.0ms

Filtered

66 candidates to 94 candidates (-42.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	2	1	3
Picked	1	0	1
Done	1	1	2
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x 5/12))
0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 5/12)))
0.3b	(*.f64 x 5/12)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 52

Calls

3 calls:

3.0ms	(+.f64 1/2 (*.f64 x 5/12))
8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 5/12)))
4.0ms	(*.f64 x 5/12)

series13.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 1/2 (*.f64 x 5/12))
7.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 5/12)))
2.0ms	(*.f64 x 5/12)

simplify61.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4856	451
1	4856	451

prune28.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Merged error: 0.0b

Counts

66 → 5

regimes37.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	131	13
1	131	13

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.0s	3360×	body	1280	valid
1.1s	2450×	body	640	valid
292.0ms	1314×	body	320	valid
132.0ms	8000×	pre	80	true
91.0ms	671×	body	160	valid
12.0ms	205×	body	80	valid

Details

analyze1.5s

sample154.0ms

simplify6.0ms

prune4.0ms

localize6.0ms

rewrite16.0ms

series17.0ms

simplify41.0ms

prune66.0ms

localize7.0ms

rewrite7.0ms

series3.0ms

simplify42.0ms

prune13.0ms

localize8.0ms

rewrite19.0ms

series29.0ms

simplify45.0ms

prune60.0ms

localize8.0ms

rewrite16.0ms

series13.0ms

simplify61.0ms

prune28.0ms

regimes37.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample4.8s

Profiling