Details

sample30.0ms

Algorithm

intervals

Results

16.0ms	323×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

10.0ms	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* z 5.0))

series55.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ y z))
28.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x y) (* z (+ x 5.0)))
12.0ms	(* z (+ x 5.0))

series60.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x y) (* z (+ x 5.0)))
31.0ms	(* z (+ x 5.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4791	168
3	5002	168

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.4b	(* z (- (* x x) (* 5.0 5.0)))
7.9b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

10.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
10.0ms	(* z (- (* x x) (* 5.0 5.0)))
10.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series213.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
64.0ms	(* z (- (* x x) (* 5.0 5.0)))
89.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	397	570
1	1864	498
2	5001	464

prune168.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
0.3b	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
8.8b	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
81×	`add-cube-cbrt`
47×	`difference-of-squares`
30×	`associate-/r*`
21×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 179

Calls

3 calls:

38.0ms	(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
14.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
11.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
87.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
46.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

simplify128.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	785	2139
1	4183	1991
2	5002	1936

prune482.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample788.0ms

Algorithm

intervals

Results

514.0ms	9791×	body	80	valid
28.0ms	130×	body	1280	valid
24.0ms	123×	body	640	valid
10.0ms	55×	body	320	valid
3.0ms	37×	body	160	valid