Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

511×

body

valid

simplify77.0ms

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: 5.8b

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)))
5.5b	(* (* 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)
3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))

series158.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (* z z) t)
74.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (41.0ms)

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

prune138.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.4b

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)))
10.2b	(* (* z z) (* y 4.0))

rewrite33.0ms

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)))
11.0ms	(* (* z z) (* y 4.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x x) (* (* z z) (* y 4.0)))
66.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
21.0ms	(* (* z z) (* y 4.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (44.0ms)

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

prune127.0ms

Pruning

5 alts after pruning (4 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)))) (* (- t) (* y 4.0)))
0.0b	(- (* x x) (* z (* z (* y 4.0))))
0.1b	(* z (* z (* y 4.0)))

rewrite39.0ms

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:

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

series145.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
61.0ms	(- (* x x) (* z (* z (* y 4.0))))
22.0ms	(* z (* z (* y 4.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	293	450
1	1248	389
2	5002	377

prune126.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series737.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt z) (cbrt z))
178.0ms	(cbrt z)
179.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune260.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample817.0ms

Algorithm

intervals

Results

453.0ms

15616×

body

valid