Details

sample13.0ms

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))

rewrite5.0ms

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` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	236
1	237	218
2	600	218
3	1536	218
4	4404	218
5	5002	218

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 107

Calls

2 calls:

4.0ms	(/ (fabs y) (fabs (- x y)))
9.0ms	(/ 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

113 → 113

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	314	1058
1	1325	952
2	4677	878
3	5001	878

prune172.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 152

Calls

4 calls:

24.0ms	(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
2.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
2.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
2.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cbrt (/ (fabs (- x y)) (fabs y))) (cbrt (/ (fabs (- x y)) (fabs y))))
46.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
50.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))
49.0ms	(cbrt (/ (fabs (- x y)) (fabs y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	212	2036
1	848	1909
2	5001	1852

prune446.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series321.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (fabs (- x y)))
93.0ms	(cbrt (fabs y))
91.0ms	(cbrt (fabs y))
93.0ms	(cbrt (fabs y))

simplify136.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	48	261
1	103	239
2	239	231
3	840	231
4	4300	231
5	5001	231

prune225.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes61.0ms

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

sample327.0ms

Algorithm

intervals

Results

152.0ms

9128×

body

valid