Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

393×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize7.0ms

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)

series117.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* x y) z)
57.0ms	(+ (* (+ (* x y) z) y) t)
37.0ms	(* (+ (* x y) z) y)

simplify104.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

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

prune82.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
4.9b	(cbrt (* (+ (* x y) z) y))
4.9b	(cbrt (* (+ (* x y) z) y))
4.9b	(cbrt (* (+ (* x y) z) y))

rewrite27.0ms

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:

9.0ms	(* (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))

series614.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
147.0ms	(cbrt (* (+ (* x y) z) y))
131.0ms	(cbrt (* (+ (* x y) z) y))
129.0ms	(cbrt (* (+ (* x y) z) y))

simplify168.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	354	828
1	1098	762
2	4863	684
3	5001	684

prune250.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
4.9b	(cbrt (* (+ (* x y) z) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt y)
7.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (* (+ (* x y) z) y))

series616.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt y)
129.0ms	(cbrt (+ (* x y) z))
134.0ms	(cbrt (+ (* x y) z))
156.0ms	(cbrt (* (+ (* x y) z) y))

simplify88.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	278	380
1	702	354
2	2505	331
3	5002	328

prune240.0ms

Filtered

60 candidates to 55 candidates (91.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
4.9b	(cbrt (* (+ (* x y) z) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (* (+ (* x y) z) y))

series669.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (cbrt y))
126.0ms	(cbrt (+ (* x y) z))
128.0ms	(cbrt (+ (* x y) z))
150.0ms	(cbrt (* (+ (* x y) z) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	291	415
1	706	387
2	2460	362
3	5001	359

prune305.0ms

Filtered

63 candidates to 59 candidates (93.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

regimes192.0ms

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

sample558.0ms

Algorithm

intervals

Results

282.0ms

11254×

body

valid