Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

442×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (* y y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x x) (* y y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ (* x x) (* y y))

simplify48.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	101	77
1	465	66
2	1240	66
3	5001	66

prune30.0ms

Filtered

14 candidates to 11 candidates (78.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
5.2b	(sqrt (+ (* x x) (* y y)))
5.2b	(sqrt (+ (* x x) (* y y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 52

Calls

4 calls:

4.0ms	(+ (* x x) (* y y))
4.0ms	(+ (* x x) (* y y))
9.0ms	(sqrt (+ (* x x) (* y y)))
4.0ms	(sqrt (+ (* x x) (* y y)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x x) (* y y))
36.0ms	(+ (* x x) (* y y))
38.0ms	(sqrt (+ (* x x) (* y y)))
39.0ms	(sqrt (+ (* x x) (* y y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	125	354
1	530	326
2	1540	326
3	5001	324

prune129.0ms

Filtered

64 candidates to 50 candidates (78.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0.0b

Counts

66 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* y y))
0.1b	(* (- (pow y 3)) y)
2.3b	(+ (* (- (pow y 3)) y) (pow x 4))
33.8b	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

3.0ms	(- (* x x) (* y y))
8.0ms	(* (- (pow y 3)) y)
7.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
12.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x x) (* y y))
36.0ms	(* (- (pow y 3)) y)
53.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
77.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	391	841
1	2274	726
2	5003	717

prune270.0ms

Filtered

115 candidates to 88 candidates (76.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Merged error: 0.0b

Counts

117 → 2

regimes71.0ms

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	8	9
1	8	9

end0.0ms

sample480.0ms

Algorithm

intervals

Results

259.0ms

14101×

body

valid