Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

492×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.6b	(* (* y 4.0) (- (* z z) t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

8.0ms	(- (* z z) t)
10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
39.0ms	(* (* y 4.0) (- (* z z) t))

series144.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (* z z) t)
66.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
57.0ms	(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	385
1	1348	342
2	5001	337

prune132.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* z z) (* y 4.0)))
0.0b	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
11.3b	(* (* z z) (* y 4.0))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`diff-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `associate-l` `*-commutative`

Counts

3 → 50

Calls

3 calls:

9.0ms	(- (* x x) (* (* z z) (* y 4.0)))
48.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
28.0ms	(* (* z z) (* y 4.0))

series130.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x x) (* (* z z) (* y 4.0)))
59.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
20.0ms	(* (* z z) (* y 4.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	290	456
1	1320	384
2	5002	373

prune135.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* z (* z (* y 4.0))))
0.0b	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
0.2b	(* z (* z (* y 4.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log`
3×	`sub-neg` `associate-l`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `*-commutative`

Counts

3 → 49

Calls

3 calls:

11.0ms	(- (* x x) (* z (* z (* y 4.0))))
48.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
43.0ms	(* z (* z (* y 4.0)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* x x) (* z (* z (* y 4.0))))
60.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
21.0ms	(* z (* z (* y 4.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	293	450
1	1248	389
2	5001	377

prune134.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
7.2b	(cbrt (- (* z z) t))
7.2b	(cbrt (- (* z z) t))
7.2b	(cbrt (- (* z z) t))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

109.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
7.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))

series360.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
84.0ms	(cbrt (- (* z z) t))
88.0ms	(cbrt (- (* z z) t))
96.0ms	(cbrt (- (* z z) t))

simplify121.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	315	709
1	1057	625
2	4510	613
3	5001	613

prune255.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	23	9
2	30	9
3	30	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

458.0ms

16137×

body

valid