Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

293×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.8b	(* 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:

8.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify52.0ms

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

prune49.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
4.1b	(cbrt (- 1.0 (* y z)))
4.1b	(cbrt (- 1.0 (* y z)))
4.1b	(cbrt (- 1.0 (* y z)))

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:

15.0ms	(* (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)))

series924.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
234.0ms	(cbrt (- 1.0 (* y z)))
232.0ms	(cbrt (- 1.0 (* y z)))
239.0ms	(cbrt (- 1.0 (* y z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

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

prune294.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 4 expressions with local error:

4.1b	(cbrt (- 1.0 (* y z)))
4.1b	(cbrt (- 1.0 (* y z)))
4.1b	(cbrt (- 1.0 (* y z)))
4.1b	(cbrt (- 1.0 (* y z)))

rewrite8.0ms

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:

2.0ms	(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)))

series950.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (- 1.0 (* y z)))
244.0ms	(cbrt (- 1.0 (* y z)))
235.0ms	(cbrt (- 1.0 (* y z)))
240.0ms	(cbrt (- 1.0 (* y z)))

simplify88.0ms

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

prune340.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.0b	(* (cbrt x) (- 1.0 (* y z)))
2.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(* (cbrt x) (- 1.0 (* y z)))
24.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series631.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
184.0ms	(cbrt x)
195.0ms	(* (cbrt x) (- 1.0 (* y z)))
72.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	298	655
1	1298	490
2	5001	423

prune177.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 3.9b

regimes218.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample368.0ms

Algorithm

intervals

Results

182.0ms

9611×

body

valid