Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms314×body80valid
0.0ms5×body640valid
0.0ms4×body320valid
0.0ms2×body1280valid
0.0ms1×body160valid

simplify9.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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))

simplify119.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune83.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

series59.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* y x) (* z (+ x 5.0)))
33.0ms
(* z (+ x 5.0))

simplify128.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0210182
1941168
24793168
35002168

prune84.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New37542
Fresh415
Picked011
Done011
Total41849

Merged error: 0b

Counts
49 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
5.0ms
(cbrt (* z (+ x 5.0)))
4.0ms
(cbrt (* z (+ x 5.0)))
4.0ms
(cbrt (* z (+ x 5.0)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
124.0ms
(cbrt (* z (+ x 5.0)))
128.0ms
(cbrt (* z (+ x 5.0)))
126.0ms
(cbrt (* z (+ x 5.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0417920
11436842
25002770

prune309.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 0b

Counts
92 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 5.0))
0.0b
(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b
(* z (sqrt (+ x 5.0)))
0.3b
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
3.0ms
(sqrt (+ x 5.0))
3.0ms
(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
7.0ms
(* z (sqrt (+ x 5.0)))
11.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ x 5.0))
29.0ms
(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
55.0ms
(* z (sqrt (+ x 5.0)))
35.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0405639
11851541
25003528

prune190.0ms

Filtered
94 candidates to 60 candidates (63.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh224
Picked011
Done123
Total966102

Merged error: 0b

Counts
102 → 6

regimes92.0ms

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)

IterNodesCost
0124
1124

end0.0ms

sample448.0ms

Algorithm
intervals
Results
211.0ms9777×body80valid
11.0ms117×body1280valid
9.0ms121×body640valid
8.0ms75×body320valid
1.0ms29×body160valid