Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

352×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* x (- 1.0 (* x y)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* x (- 1.0 (* x y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2890	113
3	5002	113

prune49.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt (- 1.0 (* x y)))
1.0ms	(cbrt (- 1.0 (* x y)))
1.0ms	(cbrt (- 1.0 (* x y)))
17.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series909.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- 1.0 (* x y)))
230.0ms	(cbrt (- 1.0 (* x y)))
230.0ms	(cbrt (- 1.0 (* x y)))
214.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	354	1088
1	1368	1031
2	5001	970

prune292.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `add-sqr-sqrt`
28×	`cbrt-div`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`flip3--` `pow1/3` `flip--`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `frac-times` `unswap-sqr`
4×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt (- 1.0 (* x y)))
1.0ms	(cbrt (- 1.0 (* x y)))
14.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
14.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series929.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (- 1.0 (* x y)))
243.0ms	(cbrt (- 1.0 (* x y)))
226.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
221.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	1480
1	1368	1394
2	5001	1284

prune451.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
51×	`cbrt-prod`
38×	`cbrt-div`
29×	`add-cube-cbrt` `*-un-lft-identity`
25×	`pow1`
19×	`flip3--` `pow1/3` `flip--`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`frac-times` `unswap-sqr`
10×	`add-exp-log`
6×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 157

Calls

4 calls:

1.0ms	(cbrt (- 1.0 (* x y)))
14.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
17.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
14.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series911.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (- 1.0 (* x y)))
221.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
226.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
222.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	354	1872
1	1368	1757
2	5001	1598

prune588.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample370.0ms

Algorithm

intervals

Results

201.0ms

10699×

body

valid