Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

303×

body

valid

simplify118.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

14.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series48.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
34.0ms	(+ (* x y) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (49.0ms)

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

prune54.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

2.0ms	(cbrt (+ (* x y) x))
5.0ms	(cbrt (+ (* x y) x))
2.0ms	(cbrt (+ (* x y) x))
21.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (+ (* x y) x))
69.0ms	(cbrt (+ (* x y) x))
68.0ms	(cbrt (+ (* x y) x))
76.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	346	1018
1	1257	963
2	5002	888

prune266.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (* x y) x)))
0.5b	(cbrt (cbrt (+ (* x y) x)))
0.5b	(cbrt (cbrt (+ (* x y) x)))
0.9b	(pow (cbrt (cbrt (+ (* x y) x))) 4)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (cbrt (+ (* x y) x)))
3.0ms	(cbrt (cbrt (+ (* x y) x)))
3.0ms	(cbrt (cbrt (+ (* x y) x)))
6.0ms	(pow (cbrt (cbrt (+ (* x y) x))) 4)

series281.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (cbrt (+ (* x y) x)))
66.0ms	(cbrt (cbrt (+ (* x y) x)))
62.0ms	(cbrt (cbrt (+ (* x y) x)))
84.0ms	(pow (cbrt (cbrt (+ (* x y) x))) 4)

simplify101.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	326	887
1	970	853
2	3568	792
3	5001	772

prune282.0ms

Filtered

84 candidates to 63 candidates (75.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.2b	(* y (* x y))
2.0b	(* x (- (* y (* x y)) x))
28.0b	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `associate-r/` `associate-r*` `pow-prod-down` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x y) x)
6.0ms	(* y (* x y))
22.0ms	(* x (- (* y (* x y)) x))
15.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series262.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* x y) x)
17.0ms	(* y (* x y))
83.0ms	(* x (- (* y (* x y)) x))
130.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	322	546
1	1686	468
2	5001	459

prune163.0ms

Filtered

91 candidates to 60 candidates (65.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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

sample288.0ms

Algorithm

intervals

Results

155.0ms	9141×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid