Details

analyze1.3s

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

sample34.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
6.0ms	122×	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

prune14.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 x (*.f64 y z))
6.1b	(.f64 (.f64 a z) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
9.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
3.0ms	(+.f64 x (*.f64 y z))
5.0ms	(.f64 (.f64 a z) b)

series61.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
17.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
7.0ms	(+.f64 x (*.f64 y z))
7.0ms	(.f64 (.f64 a z) b)

simplify24.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5328	695

prune74.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
2.7b	(.f64 a (+.f64 t (.f64 z b)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

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

series33.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4943	433
1	4943	433

prune55.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Merged error: 0.0b

Counts

46 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.5b	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
1.7b	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`cbrt-prod_binary64`
9×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `associate-*l/_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
11.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
6.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

series92.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 a)
17.0ms	(cbrt.f64 a)
23.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
35.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4939	594
1	4939	594

prune74.0ms

Filtered

59 candidates to 82 candidates (-39.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

2.7b	(.f64 a (+.f64 t (.f64 z b)))
3.8b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
3.8b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
3.8b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

rewrite20.0ms

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

series121.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 a (+.f64 t (.f64 z b)))
35.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
37.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
34.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

simplify45.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4984	639
1	4984	639

prune61.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

regimes609.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample926.0ms

Algorithm

intervals

Results

379.0ms	8000×	body	80	valid
172.0ms	3805×	body	80	invalid

Details

analyze1.3s

sample34.0ms

simplify6.0ms

prune14.0ms

localize11.0ms

rewrite28.0ms

series61.0ms

simplify24.0ms

prune74.0ms

localize9.0ms

rewrite11.0ms

series33.0ms

simplify50.0ms

prune55.0ms

localize15.0ms

rewrite22.0ms

series92.0ms

simplify46.0ms

prune74.0ms

localize16.0ms

rewrite20.0ms

series121.0ms

simplify45.0ms

prune61.0ms

regimes609.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample926.0ms

Profiling