Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

346×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune41.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	24	5	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	6	30

Merged error: 0.0b

Counts

30 → 6

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
6.0b	(* x (* y (- 1.0 y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

6.0ms	(* y (- 1.0 y))
7.0ms	(* x (* y (- 1.0 y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* y (- 1.0 y))
43.0ms	(* x (* y (- 1.0 y)))

simplify33.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	198	252
1	861	214
2	5002	214

prune76.0ms

Filtered

60 candidates to 30 candidates (50.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.7b	(* (* x y) (- (* 1.0 1.0) (* y y)))
8.0b	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

7.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
11.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series185.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
108.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	362	502
1	2086	397
2	5001	397

prune112.0ms

Filtered

60 candidates to 38 candidates (63.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x))
7.6b	(* (- (pow y 3)) x)
8.0b	(/ (+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x)) (+ 1.0 y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`-un-lft-identity` `associate-l*`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `distribute-lft-neg-out` `add-log-exp`
4×	`associate-/r*` `distribute-lft-out`
3×	`flip3-+` `associate-r` `flip-+` `associate-/l*`
2×	`cube-mult` `unpow3` `div-sub` `unsub-neg` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `neg-mul-1` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

7.0ms	(+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x))
11.0ms	(* (- (pow y 3)) x)
12.0ms	(/ (+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x)) (+ 1.0 y))

series429.0ms

Counts

3 → 9

Calls

3 calls:

258.0ms	(+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x))
39.0ms	(* (- (pow y 3)) x)
132.0ms	(/ (+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x)) (+ 1.0 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	374	862
1	1873	788
2	5001	781

prune241.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Merged error: 0b

Counts

109 → 6

regimes62.0ms

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	8	3
1	8	3

end0.0ms

sample345.0ms

Algorithm

intervals

Results

187.0ms

10697×

body

valid