Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

287×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

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

series52.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (+ (* x y) x) y)
31.0ms	(+ (* x y) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune56.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Merged error: 0.0b

Counts

32 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

12.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))

series285.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
69.0ms	(cbrt (+ (* x y) x))
64.0ms	(cbrt (+ (* x y) x))
72.0ms	(cbrt (+ (* x y) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	346	1018
1	1249	963
2	5001	888

prune279.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	101	3	104

Merged error: 0.0b

Counts

104 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))
10.0ms	(cbrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))
5.0ms	(cbrt (cbrt (+ (* x y) x)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(cbrt (+ (* x y) x))
70.0ms	(cbrt (+ (* x y) x))
83.0ms	(cbrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))
71.0ms	(cbrt (cbrt (+ (* x y) x)))

simplify110.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	404	865
1	1149	821
2	4357	735
3	5001	735

prune287.0ms

Filtered

71 candidates to 64 candidates (90.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

6.5b	(- (* (* x y) (* x y)) (* x x))
17.6b	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
29.9b	(cbrt (- (* (* x y) (* x y)) (* x x)))
29.9b	(cbrt (- (* (* x y) (* x y)) (* x x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

6.0ms	(- (* (* x y) (* x y)) (* x x))
30.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
6.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))
7.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* (* x y) (* x y)) (* x x))
137.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* x x))) (cbrt (- (* (* x y) (* x y)) (* x x)))) (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
175.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))
178.0ms	(cbrt (- (* (* x y) (* x y)) (* x x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	489	1568
1	1789	1302
2	5001	1246

prune343.0ms

Filtered

90 candidates to 75 candidates (83.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0.0b

Counts

93 → 3

regimes49.0ms

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	8	3
1	8	3

end0.0ms

sample294.0ms

Algorithm

intervals

Results

154.0ms	9165×	body	80	valid
0.0ms	1×	body	640	valid