Details

Time bar (total: 2.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms308×body80valid
3.0ms3×body320valid
0.0ms3×body640valid
0.0ms2×body1280valid
0.0ms1×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
6.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z 5.0))

series53.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
29.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify125.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune65.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh000
Picked011
Done000
Total38543

Merged error: 0.0b

Counts
43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
4.0ms
(+ (* x y) (* z (+ x 5.0)))
6.0ms
(* 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))

simplify132.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune66.0ms

Filtered
42 candidates to 27 candidates (64.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New39342
Fresh303
Picked011
Done011
Total42547

Merged error: 0.0b

Counts
47 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
0.0b
(- (* x x) (* 5.0 5.0))
3.6b
(* z (- (* x x) (* 5.0 5.0)))
6.6b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×pow1
5×times-frac associate-/r*
4×flip3-- associate-*r/ associate-*r* flip-- difference-of-squares
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative frac-2neg flip3-+ diff-log pow-prod-down clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 78
Calls
4 calls:
7.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.0ms
(- (* x x) (* 5.0 5.0))
6.0ms
(* z (- (* x x) (* 5.0 5.0)))
10.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series256.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
39.0ms
(- (* x x) (* 5.0 5.0))
65.0ms
(* z (- (* x x) (* 5.0 5.0)))
89.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0406650
11888567
25001533

prune160.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh112
Picked101
Done112
Total91495

Merged error: 0b

Counts
95 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
0.0b
(- (* x x) (* 5.0 5.0))
0.3b
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
7.6b
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
124×add-sqr-sqrt *-un-lft-identity
82×add-cube-cbrt
48×difference-of-squares
30×associate-/r*
21×distribute-lft-out--
11×add-exp-log associate-/r/ add-cbrt-cube
8×associate-/l* add-log-exp
7×flip3-- flip--
6×div-inv
4×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num associate-/l/
1×+-commutative sub-neg flip3-+ diff-log div-sub sum-log flip-+
Counts
4 → 192
Calls
4 calls:
21.0ms
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
4.0ms
(- (* x x) (* 5.0 5.0))
11.0ms
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
8.0ms
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
40.0ms
(- (* x x) (* 5.0 5.0))
88.0ms
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
48.0ms
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

simplify127.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07972219
142072062
250022007

prune415.0ms

Filtered
204 candidates to 159 candidates (77.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2040204
Fresh022
Picked011
Done011
Total2044208

Merged error: 0b

Counts
208 → 4

regimes53.0ms

Accuracy

0% (0.0b 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)

IterNodesCost
0124
1124

end0.0ms

sample506.0ms

Algorithm
intervals
Results
267.0ms9745×body80valid
12.0ms123×body640valid
11.0ms95×body1280valid
5.0ms72×body320valid
2.0ms41×body160valid