Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

309×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize8.0ms

Local error

Found 1 expressions with local error:

3.7b	(* x (- 1.0 (* y z)))

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 (* y z)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (7.0ms)

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

prune66.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (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)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

22.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series926.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
259.0ms	(cbrt (- 1.0 (* y z)))
275.0ms	(cbrt (- 1.0 (* y z)))
270.0ms	(cbrt (- 1.0 (* y z)))

simplify132.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	340	830
1	1061	774
2	4437	756
3	5002	756

prune307.0ms

Pruning

11 alts after pruning (9 fresh and 2 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)))

rewrite12.0ms

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:

1.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt (- 1.0 (* y z)))
273.0ms	(cbrt (- 1.0 (* y z)))
280.0ms	(cbrt (- 1.0 (* y z)))
278.0ms	(cbrt (- 1.0 (* y z)))

simplify99.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (25.0ms)

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

prune348.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt x)
287.0ms	(cbrt (- 1.0 (* y z)))
279.0ms	(cbrt (- 1.0 (* y z)))
281.0ms	(cbrt (- 1.0 (* y z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	228	561
1	746	537
2	3322	529
3	5001	529

prune273.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.7b

regimes525.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample602.0ms

Algorithm

intervals

Results

401.0ms

9626×

body

valid