Details

sample27.0ms

Algorithm

intervals

Results

14.0ms	338×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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

rewrite43.0ms

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:

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

series152.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ (+ y z) z) y)
25.0ms	(+ (+ y z) z)
55.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

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

prune161.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r` `sum-log`
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 → 56

Calls

3 calls:

11.0ms	(+ (+ y (+ z z)) y)
15.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
14.0ms	(* x (+ (+ (+ y (+ z z)) y) t))

series128.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (+ y (+ z z)) y)
59.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
39.0ms	(* x (+ (+ (+ y (+ z z)) y) t))

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	322	421
1	1439	385
2	5002	385

prune115.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

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)))

rewrite72.0ms

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:

29.0ms	(* (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)))
15.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

401.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
278.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
275.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
283.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

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

prune507.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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 (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
14.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
32.0ms	(cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
279.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
279.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
404.0ms	(cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	470	1677
1	1317	1581
2	5001	1563

prune314.0ms

Filtered

71 candidates to 64 candidates (90.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

regimes236.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample693.0ms

Algorithm

intervals

Results

388.0ms	10608×	body	80	valid
17.0ms	88×	body	1280	valid
16.0ms	104×	body	640	valid
5.0ms	53×	body	320	valid
3.0ms	39×	body	160	valid