Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

299×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	21	4
2	24	4
3	25	4
4	25	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- (/ (* x y) 2.0) (/ z 8.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

3.0ms	(/ (* x y) 2.0)
12.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* x y) 2.0)
46.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	209	217
1	779	198
2	3389	197
3	5001	197

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- (cbrt (pow (/ (* x y) 2.0) 3)) (/ z 8.0))
0.3b	(pow (/ (* x y) 2.0) 3)
32.1b	(cbrt (pow (/ (* x y) 2.0) 3))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`cbrt-prod`
20×	`times-frac`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
15×	`add-exp-log` `add-cbrt-cube`
10×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1` `div-inv`
4×	`cbrt-undiv` `div-exp` `sqr-pow`
3×	`cube-div` `pow-unpow` `pow-exp` `associate-/r*` `rem-cube-cbrt`
2×	`cube-mult` `cbrt-div` `unpow3` `prod-exp` `cbrt-unprod`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `frac-sub` `flip--` `rem-cbrt-cube` `associate-/l*` `distribute-lft-out--`

Counts

4 → 111

Calls

4 calls:

3.0ms	(/ (* x y) 2.0)
40.0ms	(- (cbrt (pow (/ (* x y) 2.0) 3)) (/ z 8.0))
4.0ms	(pow (/ (* x y) 2.0) 3)
3.0ms	(cbrt (pow (/ (* x y) 2.0) 3))

series144.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* x y) 2.0)
42.0ms	(- (cbrt (pow (/ (* x y) 2.0) 3)) (/ z 8.0))
58.0ms	(pow (/ (* x y) 2.0) 3)
20.0ms	(cbrt (pow (/ (* x y) 2.0) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	385	666
1	1798	612
2	5001	604

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3))) (/ z 8.0))
0.9b	(pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3))
5.8b	(pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3)))
17.3b	(cbrt (pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

51×	`unpow-prod-down`
41×	`add-sqr-sqrt`
28×	`cbrt-prod`
17×	`add-exp-log` `*-un-lft-identity`
15×	`add-cube-cbrt` `times-frac`
12×	`difference-of-squares`
11×	`pow-exp`
9×	`sqr-pow`
7×	`pow-unpow`
6×	`add-log-exp`
5×	`pow1`
4×	`div-exp` `add-cbrt-cube`
3×	`pow-to-exp` `div-inv`
2×	`pow-pow` `prod-exp`
1×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 101

Calls

4 calls:

59.0ms	(- (cbrt (pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3))) (/ z 8.0))
5.0ms	(pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3))
4.0ms	(pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3)))
5.0ms	(cbrt (pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3)))

series945.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(- (cbrt (pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3))) (/ z 8.0))
228.0ms	(pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3))
154.0ms	(pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3)))
243.0ms	(cbrt (pow (pow (/ (* x y) 2.0) (* (cbrt 3) (cbrt 3))) (cbrt 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	466	1593
1	1354	1531
2	5001	1481

prune373.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample414.0ms

Algorithm

intervals

Results

234.0ms

9179×

body

valid