Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	249×	body	80	nan

simplify9.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

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:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x y) (* x z))
27.0ms	(+ (+ (* x y) (* x z)) (* y z))
147.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify124.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (32.0ms)

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

prune132.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 17.4b

localize11.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
104.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (20.0ms)

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

prune224.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 17.4b

localize13.0ms

Local error

Found 4 expressions with local error:

15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
16.5b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite32.0ms

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:

3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
18.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ (* x y) (* x z)))
107.0ms	(cbrt (+ (* x y) (* x z)))
109.0ms	(cbrt (+ (* x y) (* x z)))
107.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	273	794
1	752	735
2	2412	714
3	5001	710

prune256.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 17.4b

localize21.0ms

Local error

Found 4 expressions with local error:

15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
16.5b	(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)))

rewrite47.0ms

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:

3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
35.0ms	(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)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ (* x y) (* x z)))
112.0ms	(cbrt (+ (* x y) (* x z)))
117.0ms	(cbrt (+ (* x y) (* x z)))
107.0ms	(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)))

simplify120.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (110.0ms)

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

prune308.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 17.4b

regimes216.0ms

Accuracy

0% (0.1b remaining)

Error of 19.4b against oracle of 19.4b and baseline of 19.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample830.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
257.0ms	8113×	body	80	nan