Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
16.0ms	250×	body	80	nan

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
17.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

2.0ms	(+ (* x y) (* x z))
10.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify115.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune140.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
17.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

14.0ms	(+ (+ (* x y) (* x z)) (* y z))
10.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
12.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ (* x y) (* x z)) (* y z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	186	576
1	666	520
2	2872	508
3	5001	508

prune238.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 18.0b

localize13.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (+ (* x y) (* x z)))
14.5b	(cbrt (+ (* x y) (* x z)))
14.5b	(cbrt (+ (* x y) (* x z)))
17.1b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
53.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ (* x y) (* x z)))
114.0ms	(cbrt (+ (* x y) (* x z)))
113.0ms	(cbrt (+ (* x y) (* x z)))
112.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	273	795
1	752	736
2	2412	715
3	5001	711

prune284.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.0b

localize19.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (+ (* x y) (* x z)))
14.5b	(cbrt (+ (* x y) (* x z)))
14.5b	(cbrt (+ (* x y) (* x z)))
17.1b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
103.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ (* x y) (* x z)))
112.0ms	(cbrt (+ (* x y) (* x z)))
111.0ms	(cbrt (+ (* x y) (* x z)))
116.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	282	1046
1	854	984
2	3182	954
3	5001	950

prune315.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 18.0b

regimes243.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

565.0ms	8000×	body	80	valid
538.0ms	8045×	body	80	nan