Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	285×	body	80	nan

simplify17.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (* x (log y)) z)
41.0ms	(* x (log y))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	221	261
1	761	224
2	2785	207
3	5001	203

prune121.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

series531.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
97.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
168.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

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

prune425.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

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

series599.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
89.0ms	(* x (log (cbrt y)))
168.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify82.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	168	411
1	610	367
2	2425	343
3	5002	333

prune267.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
40×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod` `unpow-prod-down`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
15.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series563.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
130.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
175.0ms	(cbrt y)
167.0ms	(pow y 1/3)

simplify68.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	527	793
1	2071	675
2	5002	612

prune465.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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	13	9
1	13	9

end0.0ms

sample711.0ms

Algorithm

intervals

Results

227.0ms	8031×	body	80	valid
169.0ms	8085×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid