Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	258×	body	80	valid
12.0ms	260×	body	80	nan

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

4.0ms	(- (fma (log y) (+ y 0.5) z) y)
0.0ms	(fma (log y) (+ y 0.5) z)

series86.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (fma (log y) (+ y 0.5) z) y)
39.0ms	(fma (log y) (+ y 0.5) z)

simplify148.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	214	366
1	823	278
2	4980	260
3	5001	260

prune116.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (fma (log y) (+ y 0.5) z) (- y))
0.1b	(fma (log y) (+ y 0.5) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+r-` `associate-+l+` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ (fma (log y) (+ y 0.5) z) (- y))
0.0ms	(fma (log y) (+ y 0.5) z)

series86.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (fma (log y) (+ y 0.5) z) (- y))
38.0ms	(fma (log y) (+ y 0.5) z)

simplify30.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	195	220
1	701	195
2	5001	188

prune110.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.5s

Counts

4 → 12

Calls

4 calls:

2.6s	(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
300.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
295.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
290.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify116.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	953	2708
1	4653	2609
2	5001	2606

prune516.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b	(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
287.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
287.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
305.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	335	1484
1	1325	1428
2	5002	1328

prune421.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes140.0ms

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	12	6
1	12	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

525.0ms	8035×	body	80	valid
416.0ms	8190×	body	80	nan