Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	250×	body	80	nan

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x y) (* x z))
27.0ms	(+ (+ (* x y) (* x z)) (* y z))
148.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify153.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.5b

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`pow1` `sum-log` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

13.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ (* x y) (* x z)) (* y z))
27.0ms	(+ (+ (* x y) (* x z)) (* y z))
139.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
145.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify127.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	200	618
1	734	550
2	3300	534
3	5001	532

prune387.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.5b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma x (+ y z) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.6b	(sqrt (fma x (+ y z) (* y z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
3×	`sum-log`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `flip-+`
1×	`+-commutative` `associate-+l+` `fma-udef` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

0.0ms	(fma x (+ y z) (* y z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
1.0ms	(sqrt (fma x (+ y z) (* y z)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma x (+ y z) (* y z))
27.0ms	(+ (+ (* x y) (* x z)) (* y z))
140.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
148.0ms	(sqrt (fma x (+ y z) (* y z)))

simplify132.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	229	415
1	792	376
2	3527	365
3	5001	364

prune342.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 17.5b

localize20.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (fma x (+ y z) (* y z)))
17.2b	(cbrt (fma x (+ y z) (* y z)))
17.2b	(cbrt (fma x (+ y z) (* y z)))
17.2b	(cbrt (fma x (+ y z) (* y z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

1.0ms	(sqrt (fma x (+ y z) (* y z)))
1.0ms	(cbrt (fma x (+ y z) (* y z)))
1.0ms	(cbrt (fma x (+ y z) (* y z)))
1.0ms	(cbrt (fma x (+ y z) (* y z)))

series985.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (fma x (+ y z) (* y z)))
273.0ms	(cbrt (fma x (+ y z) (* y z)))
288.0ms	(cbrt (fma x (+ y z) (* y z)))
287.0ms	(cbrt (fma x (+ y z) (* y z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	152	432
1	344	395
2	894	368
3	2544	361
4	5002	355

prune334.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 17.5b

regimes229.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.8b and baseline of 19.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample862.0ms

Algorithm

intervals

Results

266.0ms	8000×	body	80	valid
252.0ms	8038×	body	80	nan