Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample58.0ms

Algorithm

intervals

Results

32.0ms	67×	body	1280	valid
14.0ms	58×	body	640	valid
3.0ms	27×	body	320	valid
2.0ms	87×	body	80	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	4
1	6	4

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: 39.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.8b	(log.f64 (+.f64 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `log-prod_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4968	137
1	4968	137

prune24.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.3b	(*.f64 x 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

3 → 62

Calls

3 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

series13.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
4.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
3.0ms	(*.f64 x 1/3)

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5469	611

prune41.0ms

Filtered

50 candidates to 71 candidates (-42.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2))))
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.3b	(*.f64 x 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `associate-l*_binary64` `distribute-rgt-in_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-+r+_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 79

Calls

4 calls:

4.0ms	(+.f64 x (.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2))))
9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
6.0ms	(*.f64 x 1/3)

series20.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 x (.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2))))
8.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
6.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
2.0ms	(*.f64 x 1/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4941	798
1	4941	798

prune42.0ms

Filtered

57 candidates to 91 candidates (-59.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.2b	(*.f64 1/3 (pow.f64 x 3))
9.6b	(+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 x (*.f64 x -1/2)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
10×	`add-log-exp_binary64`
8×	`add-exp-log_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
4×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `sum-log_binary64`
3×	`pow1_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

3 → 55

Calls

3 calls:

3.0ms	(+.f64 x (*.f64 1/3 (pow.f64 x 3)))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 x (*.f64 x -1/2)))

series19.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 x (*.f64 1/3 (pow.f64 x 3)))
4.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 x (*.f64 x -1/2)))

simplify72.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4962	570
1	4962	570

prune29.0ms

Filtered

40 candidates to 64 candidates (-60.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

regimes92.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2249×	body	1280	valid
382.0ms	1676×	body	640	valid
100.0ms	856×	body	320	valid
75.0ms	2819×	body	80	valid
28.0ms	400×	body	160	valid

Details

analyze3.0ms

sample58.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series3.0ms

simplify44.0ms

prune24.0ms

localize7.0ms

rewrite17.0ms

series13.0ms

simplify53.0ms

prune41.0ms

localize7.0ms

rewrite28.0ms

series20.0ms

simplify57.0ms

prune42.0ms

localize8.0ms

rewrite19.0ms

series19.0ms

simplify72.0ms

prune29.0ms

regimes92.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling