Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

sample35.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
8.0ms	105×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	80	13
1	80	13

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
0.6b	(.f64 a (+.f64 t (.f64 z b)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sum-log_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `+-commutative_binary64` `associate-+r+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 60

Calls

4 calls:

3.0ms	(+.f64 t (*.f64 z b))
5.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 t (*.f64 z b))
18.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
31.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
15.0ms	(.f64 a (+.f64 t (.f64 z b)))

simplify49.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5132	807

prune55.0ms

Filtered

56 candidates to 72 candidates (-28.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	6	74

Merged error: 0.0b

Counts

74 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 a (+.f64 t (.f64 z b)))
4.7b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.7b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.7b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

6.0ms	(.f64 a (+.f64 t (.f64 z b)))
4.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
6.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 a (+.f64 t (.f64 z b)))
46.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
32.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
32.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

simplify70.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4984	639
1	4984	639

prune81.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
1.1b	(cbrt.f64 (+.f64 t (*.f64 z b)))
4.7b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.7b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
6×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-*r/_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt.f64 a)
3.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))
4.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 a)
27.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))
32.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
34.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5012	498

prune43.0ms

Filtered

51 candidates to 58 candidates (-13.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 x (*.f64 y z))
7.8b	(.f64 (.f64 a z) b)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

3 → 42

Calls

3 calls:

8.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
3.0ms	(+.f64 x (*.f64 y z))
5.0ms	(.f64 (.f64 a z) b)

series28.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.0ms	(+.f64 x (*.f64 y z))
7.0ms	(.f64 (.f64 a z) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5106	415

prune21.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

regimes482.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample927.0ms

Algorithm

intervals

Results

365.0ms	8000×	body	80	valid
170.0ms	3764×	body	80	invalid

Details

analyze1.5s

sample35.0ms

simplify6.0ms

prune11.0ms

localize9.0ms

rewrite22.0ms

series70.0ms

simplify49.0ms

prune55.0ms

localize14.0ms

rewrite23.0ms

series125.0ms

simplify70.0ms

prune81.0ms

localize22.0ms

rewrite14.0ms

series107.0ms

simplify41.0ms

prune43.0ms

localize10.0ms

rewrite18.0ms

series28.0ms

simplify47.0ms

prune21.0ms

regimes482.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample927.0ms

Profiling