Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (+ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

8.0ms

(/ (- x y) (+ x y))

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(/ (- x y) (+ x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune69.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series514.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
116.0ms	(cbrt (+ x y))
118.0ms	(cbrt (+ x y))
123.0ms	(cbrt (+ x y))

simplify140.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune223.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x y)) (cbrt (- x y)))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))

series552.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
147.0ms	(cbrt (- x y))
139.0ms	(cbrt (- x y))
150.0ms	(cbrt (- x y))

simplify154.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	261	760
1	912	723
2	4506	670
3	5001	660

prune225.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
9.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
3.0ms	(cbrt (cbrt (+ x y)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ x y))
133.0ms	(cbrt (+ x y))
251.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
201.0ms	(cbrt (cbrt (+ x y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	288	538
1	758	508
2	2794	500
3	5001	500

prune235.0ms

Filtered

74 candidates to 64 candidates (86.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0b

Counts

79 → 5

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample281.0ms

Algorithm

intervals

Results

147.0ms

8000×

body

valid