Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

295×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	8	2
2	8	2

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

4.0ms

(- (* x y) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(- (* x y) x)

simplify163.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	60	59
1	169	52
2	519	51
3	1340	51
4	4984	51
5	5001	51

prune25.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(sqrt (- (* x y) x))
0.0b	(sqrt (- (* x y) x))
0.3b	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

4.0ms	(- (* x y) x)
4.0ms	(sqrt (- (* x y) x))
4.0ms	(sqrt (- (* x y) x))
12.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x y) x)
44.0ms	(sqrt (- (* x y) x))
47.0ms	(sqrt (- (* x y) x))
31.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify176.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 3 (168.0ms)

Iter	Nodes	Cost
0	204	608
1	742	546
2	4271	524
3	5002	513

prune150.0ms

Filtered

111 candidates to 62 candidates (55.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Merged error: 0b

Counts

114 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* x (+ (* y y) (+ y 1))) x)
4.4b	(- (pow (* x y) 3) (pow x 3))
4.8b	(* x (+ (* y y) (+ y 1)))
38.9b	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
24×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqr-pow`
15×	`*-un-lft-identity`
13×	`times-frac` `associate-/l*`
11×	`pow1`
9×	`add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `associate-r/` `associate-r*` `add-log-exp`
4×	`associate-l` `pow-prod-down` `associate-*l/`
3×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `distribute-lft-out--`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

11.0ms	(* (* x (+ (* y y) (+ y 1))) x)
14.0ms	(- (pow (* x y) 3) (pow x 3))
9.0ms	(* x (+ (* y y) (+ y 1)))
23.0ms	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

series341.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x (+ (* y y) (+ y 1))) x)
120.0ms	(- (pow (* x y) 3) (pow x 3))
36.0ms	(* x (+ (* y y) (+ y 1)))
144.0ms	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

simplify101.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	533	1196
1	3358	1048
2	5001	1048

prune242.0ms

Filtered

124 candidates to 81 candidates (65.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0b

Counts

127 → 3

regimes48.0ms

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	5	2
1	5	2

end0.0ms

sample296.0ms

Algorithm

intervals

Results

162.0ms

9113×

body

valid

Details

sample12.0ms

simplify5.0ms

prune1.0ms

localize3.0ms

rewrite4.0ms

series31.0ms

simplify163.0ms

prune25.0ms

localize6.0ms

rewrite27.0ms

series157.0ms

simplify176.0ms

prune150.0ms

localize14.0ms

rewrite60.0ms

series341.0ms

simplify101.0ms

prune242.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample296.0ms

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