Details

sample47.0ms

Algorithm

intervals

Results

12.0ms	227×	body	80	valid
7.0ms	29×	body	1280	valid
5.0ms	27×	body	640	valid
2.0ms	15×	body	320	valid
2.0ms	6×	body	2560	valid
1.0ms	9×	body	160	valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (20.0ms)

Iter	Nodes	Cost
0	22	6
1	65	6
2	175	4
3	402	3
4	919	2
5	2892	2
6	5001	2

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

10.0ms

(* y (- x z))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* y (- x z))

simplify43.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune47.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (* y (- z)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+ (* y x) (* y (- z)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(+ (* y x) (* y (- z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x z)) (cbrt (- x z)))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

23.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
2.0ms	(cbrt (- x z))
2.0ms	(cbrt (- x z))
2.0ms	(cbrt (- x z))

series577.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
154.0ms	(cbrt (- x z))
152.0ms	(cbrt (- x z))
144.0ms	(cbrt (- x z))

simplify152.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	260	760
1	909	723
2	4484	670
3	5001	660

prune301.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

2.8b	(- (* x x) (* z z))
8.5b	(* y (- (* x x) (* z z)))
22.9b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

3.0ms	(- (* x x) (* z z))
10.0ms	(* y (- (* x x) (* z z)))
10.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series170.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* x x) (* z z))
67.0ms	(* y (- (* x x) (* z z)))
73.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	309	479
1	1609	402
2	5001	375

prune128.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	16	4
2	17	4
3	17	4

end0.0ms

sample839.0ms

Algorithm

intervals

Results

231.0ms	7031×	body	80	valid
151.0ms	1003×	body	1280	valid
112.0ms	934×	body	640	valid
56.0ms	602×	body	320	valid
38.0ms	216×	body	2560	valid
25.0ms	369×	body	160	valid