Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

328×

body

valid

simplify13.0ms

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

localize4.0ms

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))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (38.0ms)

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

prune49.0ms

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

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-*l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

11.0ms

(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	188	204
1	1005	133
2	5002	126

prune57.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	24	6	30

Merged error: 0.0b

Counts

30 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

7.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
5.0ms	(cbrt (* (* x y) (- 1.0 y)))
5.0ms	(cbrt (* (* x y) (- 1.0 y)))
5.0ms	(cbrt (* (* x y) (- 1.0 y)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
133.0ms	(cbrt (* (* x y) (- 1.0 y)))
132.0ms	(cbrt (* (* x y) (- 1.0 y)))
127.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	420	1095
1	1431	997
2	5001	928

prune368.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* (* x y) (- 1.0 y)))
10.4b	(cbrt (* x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

7.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
5.0ms	(cbrt (* (* x y) (- 1.0 y)))
5.0ms	(cbrt (* (* x y) (- 1.0 y)))
2.0ms	(cbrt (* x y))

series485.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
130.0ms	(cbrt (* (* x y) (- 1.0 y)))
126.0ms	(cbrt (* (* x y) (- 1.0 y)))
67.0ms	(cbrt (* x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	463	961
1	1533	875
2	5001	804

prune250.0ms

Filtered

90 candidates to 73 candidates (81.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	27	12
2	27	12

end0.0ms

sample337.0ms

Algorithm

intervals

Results

183.0ms

10613×

body

valid