Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
11.0ms365×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1204
2394
3474
4474

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: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
4.0ms
(+ (* x y) z)
6.0ms
(* (+ (* x y) z) y)

series54.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (* x y) z)
33.0ms
(* (+ (* x y) z) y)

simplify72.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0143171
1557149
23035148
35001148

prune65.0ms

Filtered
37 candidates to 25 candidates (67.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538

Merged error: 0.0b

Counts
38 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
1.0b
(- (* (* x y) (* x y)) (* z z))
7.2b
(* (- (* (* x y) (* x y)) (* z z)) y)
20.8b
(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*l*
4×flip3-- associate-*r* associate-*l/ pow-sqr pow-prod-up flip--
3×times-frac associate-/r*
2×cbrt-undiv pow-plus div-exp associate-/r/ *-commutative associate-/l/ difference-of-squares
1×pow2 sub-neg frac-2neg diff-log swap-sqr clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* z z))
9.0ms
(* (- (* (* x y) (* x y)) (* z z)) y)
12.0ms
(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series249.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* x y) (* x y))
56.0ms
(- (* (* x y) (* x y)) (* z z))
79.0ms
(* (- (* (* x y) (* x y)) (* z z)) y)
80.0ms
(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify65.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0370731
12117610
25001610

prune166.0ms

Filtered
105 candidates to 61 candidates (58.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1032105
Fresh123
Picked101
Done011
Total1055110

Merged error: 0b

Counts
110 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (pow y 2)) (* z y))
7.3b
(* x (pow y 2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
4.0ms
(+ (* x (pow y 2)) (* z y))
8.0ms
(* x (pow y 2))

series70.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* x (pow y 2)) (* z y))
29.0ms
(* x (pow y 2))

simplify165.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (161.0ms)

IterNodesCost
0184195
1721174
23769168
35001165

prune83.0ms

Filtered
44 candidates to 29 candidates (65.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New43144
Fresh123
Picked011
Done011
Total44549

Merged error: 0b

Counts
49 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* y x) y) (* z y))
0.1b
(* (* y x) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 30
Calls
2 calls:
5.0ms
(+ (* (* y x) y) (* z y))
5.0ms
(* (* y x) y)

series41.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* (* y x) y) (* z y))
16.0ms
(* (* y x) y)

simplify124.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0176161
1771136
24328133
35001132

prune52.0ms

Filtered
36 candidates to 22 candidates (61.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New36036
Fresh022
Picked011
Done022
Total36541

Merged error: 0b

Counts
41 → 5

regimes131.0ms

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

sample608.0ms

Algorithm
intervals
Results
328.0ms11234×body80valid

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