Details

Time bar (total: 2.5s)

sample33.0ms

Algorithm
intervals
Results
19.0ms449×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

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: 29.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
3.7b
(- (+ (* x x) (* y y)) (* z z))
27.6b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-sqr-sqrt add-cbrt-cube
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 difference-of-squares
2×cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
1×+-commutative sub-neg frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 52
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
6.0ms
(- (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* x x) (* y y))
43.0ms
(- (+ (* x x) (* y y)) (* z z))
82.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0337520
11492454
25001446

prune137.0ms

Filtered
61 candidates to 46 candidates (75.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New57461
Fresh000
Picked101
Done000
Total58462

Merged error: 8.6b

Counts
62 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.0b
(/ (pow z 2) y)
8.6b
(/ (pow x 2) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×add-sqr-sqrt
42×*-un-lft-identity
37×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
13×add-exp-log
9×unpow2 sqr-pow
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
3×pow1
2×cbrt-undiv pow-to-exp frac-2neg diff-log pow-exp clear-num frac-sub div-inv distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ distribute-lft-out
Counts
3 → 121
Calls
3 calls:
19.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow z 2) y)
7.0ms
(/ (pow x 2) y)

series76.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
17.0ms
(/ (pow z 2) y)
18.0ms
(/ (pow x 2) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0410766
11420699
25002687

prune265.0ms

Filtered
130 candidates to 82 candidates (63.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1273130
Fresh123
Picked101
Done000
Total1295134

Merged error: 0.8b

Counts
134 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.2b
(* z (/ z y))
8.6b
(/ (pow x 2) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r*
12×unpow-prod-down
10×add-cbrt-cube
8×associate-/l* add-log-exp
5×pow1
4×div-exp unpow2 sqr-pow
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv diff-log prod-exp frac-sub cbrt-unprod div-inv unswap-sqr
1×pow-to-exp sub-neg flip3-- frac-2neg flip3-+ pow-prod-down pow-exp associate--l+ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 97
Calls
3 calls:
12.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
6.0ms
(* z (/ z y))
5.0ms
(/ (pow x 2) y)

series75.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
17.0ms
(* z (/ z y))
18.0ms
(/ (pow x 2) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0418579
11853512
25002509

prune190.0ms

Filtered
106 candidates to 69 candidates (65.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh134
Picked011
Done000
Total1065111

Merged error: 0.0b

Counts
111 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (* x (/ x y))) (* z (/ z y)))
0.2b
(* z (/ z y))
0.2b
(* x (/ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv diff-log div-exp pow-prod-down *-commutative frac-sub div-inv
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
3 → 80
Calls
3 calls:
5.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
6.0ms
(* z (/ z y))
7.0ms
(* x (/ x y))

series77.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
18.0ms
(* z (/ z y))
21.0ms
(* x (/ x y))

simplify62.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0429458
12102413
25001413

prune134.0ms

Filtered
89 candidates to 59 candidates (66.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done011
Total89594

Merged error: 0.0b

Counts
94 → 5

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample862.0ms

Algorithm
intervals
Results
564.0ms13600×body80valid

Profiling

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