Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

351×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune1.0ms

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 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

(* (* x y) (- 1.0 y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (* x y) (- 1.0 y))

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune52.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b	(* (* x y) (- y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 45

Calls

2 calls:

5.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
9.0ms	(* (* x y) (- y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
32.0ms	(* (* x y) (- y))

simplify60.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	252	263
1	1522	222
2	5002	217

prune95.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 125

Calls

4 calls:

10.0ms	(* (cbrt (- y)) (cbrt (- y)))
2.0ms	(cbrt (- y))
2.0ms	(cbrt (- y))
2.0ms	(cbrt (- y))

series752.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (- y)) (cbrt (- y)))
184.0ms	(cbrt (- y))
178.0ms	(cbrt (- y))
182.0ms	(cbrt (- y))

simplify85.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	154	726
1	552	685
2	2895	633
3	5001	611

prune319.0ms

Filtered

137 candidates to 101 candidates (73.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	137	5	142

Merged error: 0.0b

Counts

142 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`neg-mul-1`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(cbrt (* (cbrt y) (cbrt y)))
3.0ms	(cbrt (- (cbrt y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
173.0ms	(cbrt y)
392.0ms	(cbrt (* (cbrt y) (cbrt y)))
275.0ms	(cbrt (- (cbrt y)))

simplify165.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	137	330
1	316	308
2	978	298
3	4379	298
4	5002	298

prune282.0ms

Filtered

75 candidates to 68 candidates (90.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	24	6
3	24	6

end0.0ms

sample368.0ms

Algorithm

intervals

Results

204.0ms

10665×

body

valid