Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
7.0ms	274×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	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

localize11.0ms

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))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
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 → 92

Calls

3 calls:

24.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
56.0ms	(- (* x (log y)) z)
38.0ms	(* x (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	365	609
1	1312	480
2	5001	447

prune186.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite24.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

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)

series542.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
96.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify56.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune401.0ms

Filtered

123 candidates to 101 candidates (82.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

48×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
27×	`cbrt-prod`
24×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `*-commutative` `flip-+` `sqr-pow`

Counts

4 → 117

Calls

4 calls:

10.0ms	(* x (* 2 (log (cbrt y))))
15.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series568.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (* 2 (log (cbrt y))))
127.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
176.0ms	(cbrt y)
171.0ms	(pow y 1/3)

simplify69.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	508	889
1	1845	737
2	5001	684

prune407.0ms

Filtered

129 candidates to 94 candidates (72.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 59

Calls

4 calls:

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

series692.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
172.0ms	(cbrt y)
172.0ms	(cbrt y)
171.0ms	(pow y 1/3)

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	101	174
1	292	150
2	1057	142
3	5001	137

prune324.0ms

Filtered

71 candidates to 57 candidates (80.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

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

sample725.0ms

Algorithm

intervals

Results

234.0ms	8022×	body	80	valid
166.0ms	7989×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid