Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

388×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

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:

3.0ms

(- (* x x) (* (* y 4.0) z))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(- (* x x) (* (* y 4.0) z))

simplify68.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	99	103
1	400	93
2	1856	93
3	5002	93

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
3.1b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.1b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.1b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite29.0ms

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 x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
98.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
100.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
99.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify143.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	262	1221
1	969	1142
2	4562	1071
3	5001	1064

prune266.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.1b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.1b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.1b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.1b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite11.0ms

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 (- (* x x) (* (* y 4.0) z)))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
2.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
98.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
98.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
102.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	154	632
1	510	588
2	2023	580
3	5002	580

prune250.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample535.0ms

Algorithm

intervals

Results

278.0ms

12101×

body

valid