Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

342×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

(- (* x y) (* z t))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (* x y) (* z t))

simplify76.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
1.2b	(cbrt (- (* x y) (* z t)))
1.2b	(cbrt (- (* x y) (* z t)))
1.2b	(cbrt (- (* x y) (* z t)))

rewrite28.0ms

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:

19.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
111.0ms	(cbrt (- (* x y) (* z t)))
113.0ms	(cbrt (- (* x y) (* z t)))
119.0ms	(cbrt (- (* x y) (* z t)))

simplify101.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	313	1067
1	1066	1000
2	4165	924
3	5001	915

prune265.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (- (* x y) (* z t)))
1.2b	(cbrt (- (* x y) (* z t)))
2.9b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
29.2b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`sub-neg` `diff-log`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (- (* x y) (* z t)))
2.0ms	(cbrt (- (* x y) (* z t)))
13.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
10.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series459.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (- (* x y) (* z t)))
118.0ms	(cbrt (- (* x y) (* z t)))
108.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
113.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	319	683
1	1194	625
2	5001	604

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* t z))
0.2b	(pow (- (* x y) (* t z)) 3)
36.5b	(cbrt (pow (- (* x y) (* t z)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

2.0ms	(- (* x y) (* t z))
4.0ms	(pow (- (* x y) (* t z)) 3)
4.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

series226.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x y) (* t z))
146.0ms	(pow (- (* x y) (* t z)) 3)
40.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	251	439
1	1097	416
2	5001	408

prune120.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample782.0ms

Algorithm

intervals

Results

522.0ms

10527×

body

valid