Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

307×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	46	3
3	71	3
4	79	3
5	79	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b	(* x (- 1.0 (* y z)))

rewrite17.0ms

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:

16.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	122	127
1	493	111
2	1989	111
3	5001	111

prune46.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))

rewrite39.0ms

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:

28.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series790.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
196.0ms	(cbrt (- 1.0 (* y z)))
196.0ms	(cbrt (- 1.0 (* y z)))
200.0ms	(cbrt (- 1.0 (* y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	354	1088
1	1370	1031
2	5001	970

prune288.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.7b

localize13.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (- 1.0 (* y z)))
208.0ms	(cbrt (- 1.0 (* y z)))
207.0ms	(cbrt (- 1.0 (* y z)))
206.0ms	(cbrt (- 1.0 (* y z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	196	696
1	674	668
2	3120	660
3	5001	660

prune295.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series840.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (- 1.0 (* y z)))
209.0ms	(cbrt (- 1.0 (* y z)))
206.0ms	(cbrt (- 1.0 (* y z)))
211.0ms	(cbrt (- 1.0 (* y z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	196	696
1	674	668
2	3120	660
3	5001	660

prune323.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.7b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample435.0ms

Algorithm

intervals

Results

178.0ms

9571×

body

valid