Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms302×body80valid
0.0ms4×body1280valid
0.0ms4×body640valid
0.0ms4×body320valid
0.0ms2×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

localize9.0ms

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))

simplify118.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune72.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New37542
Fresh000
Picked101
Done000
Total38543

Merged error: 0.0b

Counts
43 → 5

localize9.0ms

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))

series61.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* x y) (* z (+ x 5.0)))
32.0ms
(* z (+ x 5.0))

simplify131.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune74.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh314
Picked011
Done000
Total42547

Merged error: 0.0b

Counts
47 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
2.2b
(* z (- (* x x) (* 5.0 5.0)))
5.7b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite25.0ms

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:
7.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms
(* z (- (* x x) (* 5.0 5.0)))
10.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series216.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
66.0ms
(* z (- (* x x) (* 5.0 5.0)))
90.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0397570
11864498
25001464

prune140.0ms

Filtered
74 candidates to 53 candidates (71.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh123
Picked101
Done011
Total75479

Merged error: 0.0b

Counts
79 → 4

localize11.0ms

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))))
5.4b
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

rewrite50.0ms

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:
21.0ms
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
12.0ms
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
9.0ms
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

series200.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (* x y) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
89.0ms
(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
48.0ms
(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

simplify130.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
07852139
141831991
250021936

prune402.0ms

Filtered
188 candidates to 147 candidates (78.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1880188
Fresh022
Picked011
Done011
Total1884192

Merged error: 0.0b

Counts
192 → 4

regimes75.0ms

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

sample493.0ms

Algorithm
intervals
Results
257.0ms9766×body80valid
13.0ms109×body1280valid
11.0ms122×body640valid
5.0ms72×body320valid
2.0ms35×body160valid