Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	346×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune3.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

18.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
8.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series154.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
34.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)
39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune181.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ y z) (+ y z)) t)
0.0b	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ y z) (+ y z)) t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
26×	`distribute-lft-out`
23×	`add-log-exp`
14×	`sum-log`
8×	`associate-r`
7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

15.0ms	(+ (+ (+ y z) (+ y z)) t)
20.0ms	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))
18.0ms	(* x (+ (+ (+ y z) (+ y z)) t))

series122.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (+ (+ y z) (+ y z)) t)
60.0ms	(+ (* x (+ (+ (+ y z) (+ y z)) t)) (* y 5.0))
39.0ms	(* x (+ (+ (+ y z) (+ y z)) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	313	463
1	1551	393
2	5002	393

prune141.0ms

Filtered

70 candidates to 47 candidates (67.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

31.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
17.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

404.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
287.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
282.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
285.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune333.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(* (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
36×	`cbrt-div`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

15.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
15.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
19.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
34.0ms	(* (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
292.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
294.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
409.0ms	(* (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	428	2874
1	1456	2721
2	5001	2548

prune438.0ms

Filtered

122 candidates to 90 candidates (73.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

regimes246.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample639.0ms

Algorithm

intervals

Results

330.0ms	10673×	body	80	valid
15.0ms	113×	body	640	valid
13.0ms	90×	body	1280	valid
6.0ms	70×	body	320	valid
4.0ms	25×	body	160	valid