Details

sample79.0ms

Algorithm

intervals

Results

33.0ms	745×	body	80	nan
17.0ms	258×	body	80	valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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

series130.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (- (* x (log y)) y) z)
59.0ms	(- (* x (log y)) y)
38.0ms	(* x (log y))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	368	609
1	1330	480
2	5001	447

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite28.0ms

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:

6.0ms	(* x (log (cbrt y)))
16.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series567.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (log (cbrt y)))
110.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
180.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

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

prune488.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
0.3b	(* (* x 1/3) (log y))
0.3b	(* x 1/3)
0.5b	(cbrt y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`associate-+r+` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
8.0ms	(* (* x 1/3) (log y))
3.0ms	(* x 1/3)
1.0ms	(cbrt y)

series404.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
44.0ms	(* (* x 1/3) (log y))
19.0ms	(* x 1/3)
182.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	459	677
1	2131	586
2	5001	543

prune459.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)))
0.5b	(cbrt y)
0.5b	(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)

series635.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
95.0ms	(* x (log (cbrt y)))
180.0ms	(cbrt y)
186.0ms	(cbrt y)

simplify77.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (72.0ms)

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

prune297.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes265.0ms

Accuracy

0% (0.0b 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	24	12
1	24	12

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	23885×	body	80	nan
532.0ms	8030×	body	80	valid