Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

319×

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 1 expressions with local error:

2.4b	(* 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)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

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

prune52.0ms

Filtered

27 candidates to 17 candidates (63.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite27.0ms

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:

21.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.0ms	(cbrt (- 1.0 (* y z)))
1.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
222.0ms	(cbrt (- 1.0 (* y z)))
226.0ms	(cbrt (- 1.0 (* y z)))
220.0ms	(cbrt (- 1.0 (* y z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (29.0ms)

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

prune263.0ms

Filtered

78 candidates to 66 candidates (84.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite7.0ms

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

series907.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (- 1.0 (* y z)))
223.0ms	(cbrt (- 1.0 (* y z)))
230.0ms	(cbrt (- 1.0 (* y z)))
228.0ms	(cbrt (- 1.0 (* y z)))

simplify85.0ms

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

prune301.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.5b

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite7.0ms

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

series896.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (- 1.0 (* y z)))
224.0ms	(cbrt (- 1.0 (* y z)))
223.0ms	(cbrt (- 1.0 (* y z)))
225.0ms	(cbrt (- 1.0 (* y z)))

simplify81.0ms

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

prune287.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 2.5b

regimes223.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b 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

sample402.0ms

Algorithm

intervals

Results

196.0ms

9581×

body

valid