Details

sample29.0ms

Algorithm

intervals

Results

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

simplify13.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite36.0ms

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))
14.0ms	(+ (+ (* x y) (* x z)) (* y z))
18.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify132.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (126.0ms)

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

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 20.2b

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))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite59.0ms

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))
15.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (99.0ms)

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

prune338.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.2b

localize20.0ms

Local error

Found 4 expressions with local error:

19.2b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite111.0ms

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:

82.0ms	(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)))
9.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
220.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
215.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
215.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify129.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (108.0ms)

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

prune487.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.2b

localize27.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite49.0ms

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

series377.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
216.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (105.0ms)

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

prune375.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.2b

regimes282.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample794.0ms

Algorithm

intervals

Results

246.0ms	8067×	body	80	nan
238.0ms	8000×	body	80	valid