Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

293×

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

5.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify86.0ms

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: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fabs y) (fabs (- x y)))
0.1b	(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

5.0ms	(/ (fabs y) (fabs (- x y)))
10.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (fabs y) (fabs (- x y)))
7.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	310	1036
1	1321	930
2	4673	856
3	5002	856

prune148.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

25.0ms	(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
2.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
5.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
2.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
50.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
46.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
51.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	208	1976
1	843	1849
2	5002	1792

prune414.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs y))
0.6b	(cbrt (fabs y))
0.6b	(cbrt (fabs y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs y))
1.0ms	(cbrt (fabs y))
1.0ms	(cbrt (fabs y))

series342.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt (fabs (- x y)))
98.0ms	(cbrt (fabs y))
100.0ms	(cbrt (fabs y))
98.0ms	(cbrt (fabs y))

simplify137.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	44	235
1	99	213
2	235	205
3	834	205
4	4246	205
5	5001	205

prune193.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes63.0ms

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

sample344.0ms

Algorithm

intervals

Results

156.0ms

9128×

body

valid