Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

361×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

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 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+ (* x y) z)
6.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series115.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* x y) z)
61.0ms	(+ (* (+ (* x y) z) y) t)
34.0ms	(* (+ (* x y) z) y)

simplify106.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune92.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.3b	(cbrt (* (+ (* x y) z) y))
7.3b	(cbrt (* (+ (* x y) z) y))
7.3b	(cbrt (* (+ (* x y) z) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))

series532.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
122.0ms	(cbrt (* (+ (* x y) z) y))
125.0ms	(cbrt (* (+ (* x y) z) y))
123.0ms	(cbrt (* (+ (* x y) z) y))

simplify146.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	354	828
1	1098	762
2	4863	684
3	5002	684

prune239.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) z))
0.6b	(cbrt y)
7.3b	(cbrt (* (+ (* x y) z) y))
7.3b	(cbrt (* (+ (* x y) z) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))

series527.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (+ (* x y) z))
172.0ms	(cbrt y)
126.0ms	(cbrt (* (+ (* x y) z) y))
124.0ms	(cbrt (* (+ (* x y) z) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	278	394
1	702	366
2	2505	339
3	5002	333

prune209.0ms

Filtered

58 candidates to 52 candidates (89.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	58	7	65

Merged error: 0b

Counts

65 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt (* (+ (* x y) z) y))
7.3b	(cbrt (* (+ (* x y) z) y))
7.3b	(cbrt (* (+ (* x y) z) y))
7.3b	(cbrt (* (+ (* x y) z) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div` `associate-*l/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))

series497.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (* (+ (* x y) z) y))
122.0ms	(cbrt (* (+ (* x y) z) y))
126.0ms	(cbrt (* (+ (* x y) z) y))
125.0ms	(cbrt (* (+ (* x y) z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	194	492
1	467	456
2	1479	412
3	5001	408

prune213.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0b

Counts

63 → 7

regimes196.0ms

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	12	4
1	12	4

end0.0ms

sample597.0ms

Algorithm

intervals

Results

317.0ms

11251×

body

valid

Details

sample22.0ms

simplify8.0ms

prune2.0ms

localize10.0ms

rewrite17.0ms

series115.0ms

simplify106.0ms

prune92.0ms

localize11.0ms

rewrite24.0ms

series532.0ms

simplify146.0ms

prune239.0ms

localize15.0ms

rewrite16.0ms

series527.0ms

simplify70.0ms

prune209.0ms

localize17.0ms

rewrite21.0ms

series497.0ms

simplify51.0ms

prune213.0ms

regimes196.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample597.0ms

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