Details

analyze294.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	536	9
1	536	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: 1.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
1.7b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `associate-l*_binary64`
6×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64`

Counts

2 → 45

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
7.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 (-.f64 1 y) z)
11.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4944	421
1	4944	421

prune51.0ms

Filtered

34 candidates to 51 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	8	52

Merged error: 1.7b

Counts

52 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 y z) z)
0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
1.8b	(.f64 x (-.f64 (.f64 y z) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

4.0ms	(-.f64 (*.f64 y z) z)
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
7.0ms	(.f64 x (-.f64 (.f64 y z) z))

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(-.f64 (*.f64 y z) z)
12.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
10.0ms	(.f64 x (-.f64 (.f64 y z) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5503	510

prune40.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
3.0b	(.f64 (.f64 x z) (-.f64 y 1))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `difference-of-sqr-1_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
8.0ms	(.f64 (.f64 x z) (-.f64 y 1))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
10.0ms	(.f64 (.f64 x z) (-.f64 y 1))

simplify46.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5071	411

prune33.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0b

Counts

52 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(cbrt.f64 (-.f64 y 1))
1.3b	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
1.7b	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div_binary64`
42×	`associate-*r/_binary64`
35×	`flip3--_binary64` `flip--_binary64`
34×	`pow1_binary64` `add-exp-log_binary64`
32×	`frac-times_binary64`
21×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
16×	`associate-*l/_binary64`
11×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64`
3×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 y 1))
5.0ms	(cbrt.f64 (-.f64 y 1))
22.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
16.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt.f64 (-.f64 y 1))
8.0ms	(cbrt.f64 (-.f64 y 1))
13.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
33.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

simplify65.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4952	1922
1	4952	1922

prune77.0ms

Filtered

82 candidates to 136 candidates (-65.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	136	8	144

Merged error: 0b

Counts

144 → 8

regimes405.0ms

Accuracy

79.3% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch26.0ms

Steps

Iters	Range		Point
7	4.839136608888376e-27	9.444046073296388e-26	9.0078678906229e-27
9	-8.428630417354057e+110	-9.913640455192303e+102	-1.1630598547948664e+105

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	49	27
1	49	27

end0.0ms

sample407.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
17.0ms	687×	body	80	invalid

Details

analyze294.0ms

sample15.0ms

simplify28.0ms

prune2.0ms

localize6.0ms

rewrite15.0ms

series15.0ms

simplify74.0ms

prune51.0ms

localize9.0ms

rewrite17.0ms

series27.0ms

simplify57.0ms

prune40.0ms

localize6.0ms

rewrite15.0ms

series20.0ms

simplify46.0ms

prune33.0ms

localize10.0ms

rewrite54.0ms

series62.0ms

simplify65.0ms

prune77.0ms

regimes405.0ms

bsearch26.0ms

simplify3.0ms

end0.0ms

sample407.0ms

Profiling