Details

sample262.0ms

Algorithm

intervals

Results

7.0ms

337×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (+ x y) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune48.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

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

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))

series559.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
133.0ms	(cbrt (+ x y))
127.0ms	(cbrt (+ x y))
137.0ms	(cbrt (+ x y))

simplify149.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (137.0ms)

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

prune209.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (* x x) (* y y))
11.4b	(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
25.3b	(cbrt (- (* x x) (* y y)))
25.3b	(cbrt (- (* x x) (* y y)))

rewrite33.0ms

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:

4.0ms	(- (* x x) (* y y))
20.0ms	(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
3.0ms	(cbrt (- (* x x) (* y y)))
4.0ms	(cbrt (- (* x x) (* y y)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* x x) (* y y))
150.0ms	(/ (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
109.0ms	(cbrt (- (* x x) (* y y)))
114.0ms	(cbrt (- (* x x) (* y y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	410	1034
1	1496	852
2	5001	807

prune274.0ms

Filtered

90 candidates to 73 candidates (81.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0.0b

Counts

95 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.2b	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
3.9b	(sqrt (* (+ x y) z))
3.9b	(sqrt (* (+ x y) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

6.0ms	(* (+ x y) z)
16.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.0ms	(sqrt (* (+ x y) z))
4.0ms	(sqrt (* (+ x y) z))

series228.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
21.0ms	(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
92.0ms	(sqrt (* (+ x y) z))
94.0ms	(sqrt (* (+ x y) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	262	514
1	1181	461
2	5002	441

prune161.0ms

Filtered

116 candidates to 67 candidates (57.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	116	5	121

Merged error: 0.0b

Counts

121 → 5

regimes108.0ms

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	7	2
1	7	2

end0.0ms

sample362.0ms

Algorithm

intervals

Results

167.0ms

10085×

body

valid