Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	274×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

21.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series123.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
55.0ms	(- (* x (log y)) z)
37.0ms	(* x (log y))

simplify60.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune158.0ms

Filtered

76 candidates to 53 candidates (69.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series549.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (log (cbrt y)))
97.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
188.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune331.0ms

Filtered

114 candidates to 91 candidates (79.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

76×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`associate-+r+`
27×	`cbrt-prod`
24×	`associate-+l+`
15×	`unpow-prod-down`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`add-log-exp`
5×	`sqr-pow`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+`

Counts

4 → 134

Calls

4 calls:

10.0ms	(* x (* 2 (log (cbrt y))))
19.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series609.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* x (* 2 (log (cbrt y))))
130.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
182.0ms	(cbrt y)
198.0ms	(pow y 1/3)

simplify73.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	591	1092
1	2205	882
2	5002	710

prune435.0ms

Filtered

146 candidates to 106 candidates (72.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series763.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (cbrt y))
173.0ms	(cbrt y)
176.0ms	(cbrt y)
175.0ms	(pow y 1/3)

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	128	193
1	366	170
2	1321	161
3	5001	156

prune259.0ms

Filtered

66 candidates to 52 candidates (78.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample706.0ms

Algorithm

intervals

Results

222.0ms	8022×	body	80	valid
162.0ms	7989×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid