Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

309×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	9	4
2	9	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

2.0ms

(/ (fabs (- x y)) (fabs y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (fabs (- x y)) (fabs y))

simplify83.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	86	226
1	235	208
2	598	208
3	1534	208
4	4378	208
5	5002	208

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 164

Calls

4 calls:

4.0ms	(/ (fabs (- x y)) (fabs y))
2.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
2.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
20.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (fabs (- x y)) (fabs y))
16.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
16.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
8.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	235	1571
1	1146	1450
2	5001	1416

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

8.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	179	277
1	728	235
2	2576	217
3	4885	217
4	5001	217

prune69.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b	(* (sqrt (/ (fabs (- x y)) (fabs y))) (cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)))
0.2b	(pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)
6.7b	(cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

140×	`add-sqr-sqrt`
134×	`sqrt-prod`
100×	`cbrt-prod`
88×	`times-frac`
71×	`add-cube-cbrt` `*-un-lft-identity`
57×	`unpow-prod-down` `cube-prod`
41×	`associate-r`
27×	`unswap-sqr`
16×	`associate-l`
9×	`pow1`
8×	`div-inv`
7×	`add-exp-log` `sqrt-div`
6×	`add-cbrt-cube` `sqr-pow`
4×	`cube-div` `add-log-exp`
3×	`cube-mult` `pow-unpow` `cbrt-div` `pow-pow` `unpow3`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `pow-to-exp` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 224

Calls

4 calls:

2.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
44.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)))
5.0ms	(pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)
5.0ms	(cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3))

series80.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
12.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)))
35.0ms	(pow (sqrt (/ (fabs (- x y)) (fabs y))) 3)
16.0ms	(cbrt (pow (sqrt (/ (fabs (- x y)) (fabs y))) 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	454	2860
1	1913	2418
2	5001	2327

prune449.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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	6	4

end0.0ms

sample292.0ms

Algorithm

intervals

Results

158.0ms

9180×

body

valid