Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
14.0ms	226×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite30.0ms

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)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (* x y) (* x z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify137.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (131.0ms)

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

prune507.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.7b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(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:

14.0ms	(+ (+ (* 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)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ (* x y) (* x z)) (* y z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
23.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (102.0ms)

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

prune956.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.7b

localize19.0ms

Local error

Found 4 expressions with local error:

17.7b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 97

Calls

4 calls:

79.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
8.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
57.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
261.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
57.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify134.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	372	2234
1	919	2168
2	3440	2120
3	5001	2099

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.7b

localize21.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

13.0ms	(+ (+ (* x y) (* x z)) (* y z))
15.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ (* x y) (* x z)) (* y z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
25.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
57.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	274	627
1	888	559
2	3686	536
3	5001	534

prune978.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.7b

regimes765.0ms

Accuracy

0% (0.1b remaining)

Error of 19.5b against oracle of 19.5b and baseline of 19.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

493.0ms	8189×	body	80	nan
489.0ms	8000×	body	80	valid