Details

sample49.0ms

Algorithm

intervals

Results

32.0ms

523×

body

valid

simplify78.0ms

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: 6.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.2b	(* (* y 4.0) (- (* z z) t))

rewrite21.0ms

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:

3.0ms	(- (* z z) t)
4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))

series157.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (* z z) t)
72.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (38.0ms)

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

prune128.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.2b

localize10.0ms

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)))
9.6b	(* (* z z) (* y 4.0))

rewrite34.0ms

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:

3.0ms	(- (* x x) (* (* z z) (* y 4.0)))
17.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
13.0ms	(* (* z z) (* y 4.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x x) (* (* z z) (* y 4.0)))
63.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
21.0ms	(* (* z z) (* y 4.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (37.0ms)

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

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite36.0ms

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:

3.0ms	(- (* x x) (* z (* z (* y 4.0))))
17.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
15.0ms	(* z (* z (* y 4.0)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x x) (* z (* z (* y 4.0))))
59.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
23.0ms	(* z (* z (* y 4.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (36.0ms)

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

prune109.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
18.7b	(cbrt (* z (* z (* y 4.0))))
18.7b	(cbrt (* z (* z (* y 4.0))))
18.7b	(cbrt (* z (* z (* y 4.0))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

12.0ms	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
12.0ms	(cbrt (* z (* z (* y 4.0))))
12.0ms	(cbrt (* z (* z (* y 4.0))))
12.0ms	(cbrt (* z (* z (* y 4.0))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
101.0ms	(cbrt (* z (* z (* y 4.0))))
98.0ms	(cbrt (* z (* z (* y 4.0))))
99.0ms	(cbrt (* z (* z (* y 4.0))))

simplify106.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	220	537
1	710	472
2	3287	393
3	5002	387

prune228.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes224.0ms

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

sample1.3s

Algorithm

intervals

Results

942.0ms

15635×

body

valid