Details

Time bar (total: 2.3s)

sample18.0ms

Algorithm
intervals
Results
8.0ms329×body80valid
0.0ms3×body1280valid
0.0ms2×body640valid
0.0ms3×body160valid
0.0ms1×body320valid

simplify9.0ms

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))

rewrite15.0ms

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:
8.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z 5.0))

series52.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
28.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune61.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New39342
Fresh000
Picked101
Done000
Total40343

Merged error: 0.0b

Counts
43 → 3

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))

series59.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (* x y) (* z (+ x 5.0)))
33.0ms
(* z (+ x 5.0))

simplify129.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune66.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh202
Picked011
Done000
Total41445

Merged error: 0b

Counts
45 → 4

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))
2.4b
(* z (- (* x x) (* 5.0 5.0)))
7.3b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite32.0ms

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)))
12.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series251.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
41.0ms
(- (* x x) (* 5.0 5.0))
59.0ms
(* 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
90 → 90
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0406650
11888567
25001533

prune153.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh022
Picked011
Done011
Total90494

Merged error: 0b

Counts
94 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
0.0b
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
2.4b
(* z (+ (pow x 3) (pow 5.0 3)))
11.8b
(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
9×associate-*r*
8×add-cube-cbrt
6×pow1
5×flip3-+ flip-+ distribute-lft-out
4×unpow-prod-down cube-prod associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv +-commutative associate-+r+ div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×distribute-rgt-in associate-+r- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-cubes *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
10.0ms
(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
6.0ms
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
13.0ms
(* z (+ (pow x 3) (pow 5.0 3)))
20.0ms
(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

series344.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (* x y) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
20.0ms
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
90.0ms
(* z (+ (pow x 3) (pow 5.0 3)))
146.0ms
(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

simplify76.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0459856
12374746
25003739

prune223.0ms

Filtered
91 candidates to 64 candidates (70.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495

Merged error: 0b

Counts
95 → 4

regimes59.0ms

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

sample468.0ms

Algorithm
intervals
Results
240.0ms9789×body80valid
12.0ms114×body1280valid
7.0ms82×body640valid
4.0ms64×body320valid
2.0ms40×body160valid