Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	258×	body	80	nan

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
12×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 88

Calls

3 calls:

23.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
7.0ms	(- (fma (log y) (+ y 0.5) z) y)
0.0ms	(fma (log y) (+ y 0.5) z)

series139.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
45.0ms	(- (fma (log y) (+ y 0.5) z) y)
38.0ms	(fma (log y) (+ y 0.5) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	404	1160
1	1496	822
2	5003	746

prune436.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (- x (* (log y) (+ y 0.5))) (- z y))
0.1b	(* (log y) (+ y 0.5))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
27×	`prod-diff`
20×	`add-cube-cbrt`
14×	`add-log-exp`
11×	`associate--r+`
8×	`diff-log`
6×	`distribute-lft-out--`
5×	`pow1` `flip3--` `associate--l+` `flip--`
4×	`add-exp-log` `associate-r` `associate-l` `frac-sub` `add-cbrt-cube` `difference-of-squares`
3×	`sub-neg` `fma-neg`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`associate--l-` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r-` `unswap-sqr`

Counts

2 → 86

Calls

2 calls:

49.0ms	(- (- x (* (log y) (+ y 0.5))) (- z y))
21.0ms	(* (log y) (+ y 0.5))

series302.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (- x (* (log y) (+ y 0.5))) (- z y))
241.0ms	(* (log y) (+ y 0.5))

simplify83.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	634	1026
1	2874	808
2	5001	801

prune234.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (fma (log y) (+ y 0.5) (- z y)))
0.1b	(fma (log y) (+ y 0.5) (- z y))

rewrite8.0ms

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` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

7.0ms	(- x (fma (log y) (+ y 0.5) (- z y)))
0.0ms	(fma (log y) (+ y 0.5) (- z y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify112.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	236	546
1	669	364
2	3924	351
3	5001	349

prune150.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (log y))
0.4b	(cbrt (log y))
0.4b	(cbrt (log y))
0.5b	(* (cbrt (log y)) (cbrt (log y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 89

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
13.0ms	(* (cbrt (log y)) (cbrt (log y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt (log y))
268.0ms	(cbrt (log y))
270.0ms	(cbrt (log y))
283.0ms	(* (cbrt (log y)) (cbrt (log y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	125	517
1	443	446
2	3004	388
3	5001	381

prune236.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes120.0ms

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	17	10
1	17	10

end0.0ms

sample943.0ms

Algorithm

intervals

Results

272.0ms	8031×	body	80	valid
206.0ms	8049×	body	80	nan
0.0ms	1×	body	1280	valid