Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms313×body80valid
1.0ms6×body640valid
0.0ms6×body160valid
0.0ms2×body1280valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))

series56.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
32.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune68.0ms

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
(* z (+ x 5.0))
0.0b
(+ (* x y) (* 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:
6.0ms
(* z (+ x 5.0))
4.0ms
(+ (* x y) (* z (+ x 5.0)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* z (+ x 5.0))
31.0ms
(+ (* x y) (* z (+ x 5.0)))

simplify133.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0209182
1941168
24786168
35001168

prune69.0ms

Filtered
42 candidates to 27 candidates (64.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New40242
Fresh123
Picked011
Done011
Total41647

Merged error: 0b

Counts
47 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b
(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
16.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
6.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
6.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
6.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
150.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
153.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
149.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03231273
111351175
250021048

prune221.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done022
Total996105

Merged error: 0b

Counts
105 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 5.0 5.0))
0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.8b
(* z (- (* x x) (* 5.0 5.0)))
5.4b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite30.0ms

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:
4.0ms
(- (* x x) (* 5.0 5.0))
7.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
7.0ms
(* z (- (* x x) (* 5.0 5.0)))
10.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series248.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* x x) (* 5.0 5.0))
58.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
62.0ms
(* z (- (* x x) (* 5.0 5.0)))
86.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0406650
11888567
25001533

prune145.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New90090
Fresh022
Picked011
Done033
Total90696

Merged error: 0b

Counts
96 → 6

regimes111.0ms

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

sample514.0ms

Algorithm
intervals
Results
270.0ms9819×body80valid
12.0ms101×body1280valid
12.0ms124×body640valid
4.0ms52×body320valid
2.0ms41×body160valid