Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
7.0ms	275×	body	80	nan

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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:

3.0ms	(- (fma (log y) (+ y 0.5) z) y)
0.0ms	(fma (log y) (+ y 0.5) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (fma (log y) (+ y 0.5) z) y)
36.0ms	(fma (log y) (+ y 0.5) z)

simplify138.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (27.0ms)

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

prune110.0ms

Pruning

6 alts after pruning (5 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))
0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.5b	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

0.0ms	(cbrt (fma (log y) (+ y 0.5) z))
0.0ms	(cbrt (fma (log y) (+ y 0.5) z))
0.0ms	(cbrt (fma (log y) (+ y 0.5) z))
6.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (fma (log y) (+ y 0.5) z))
244.0ms	(cbrt (fma (log y) (+ y 0.5) z))
248.0ms	(cbrt (fma (log y) (+ y 0.5) z))
791.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	604	1568
1	2829	1497
2	5002	1446

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.5b	(* (pow (cbrt (fma (log y) (+ y 0.5) z)) 1) (cbrt (fma (log y) (+ y 0.5) z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`unpow-prod-down` `associate-l`
9×	`add-exp-log`
8×	`unswap-sqr`
7×	`pow1`
6×	`associate-r`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `prod-exp` `sqr-pow`
1×	`pow-to-exp` `pow-plus` `pow-prod-down` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

0.0ms	(cbrt (fma (log y) (+ y 0.5) z))
0.0ms	(cbrt (fma (log y) (+ y 0.5) z))
0.0ms	(cbrt (fma (log y) (+ y 0.5) z))
14.0ms	(* (pow (cbrt (fma (log y) (+ y 0.5) z)) 1) (cbrt (fma (log y) (+ y 0.5) z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (fma (log y) (+ y 0.5) z))
256.0ms	(cbrt (fma (log y) (+ y 0.5) z))
241.0ms	(cbrt (fma (log y) (+ y 0.5) z))
793.0ms	(* (pow (cbrt (fma (log y) (+ y 0.5) z)) 1) (cbrt (fma (log y) (+ y 0.5) z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	659	1532
1	3035	1437
2	5002	1422

prune397.0ms

Pruning

7 alts after pruning (5 fresh and 2 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)))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.5b	(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite29.0ms

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:

19.0ms	(* (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)))
287.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
293.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))
288.0ms	(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify120.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (91.0ms)

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

prune449.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

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	10	5
1	10	5

end0.0ms

sample808.0ms

Algorithm

intervals

Results

262.0ms	8033×	body	80	valid
217.0ms	8130×	body	80	nan