Details

Time bar (total: 3.1s)

sample56.0ms

Algorithm
intervals
Results
34.0ms461×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune4.0ms

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: 29.3b

Counts
2 → 1

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
2.6b
(- (+ (* x x) (* y y)) (* z z))
27.3b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite29.0ms

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))
9.0ms
(- (+ (* x x) (* y y)) (* z z))
15.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series146.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (* x x) (* y y))
42.0ms
(- (+ (* x x) (* y y)) (* z z))
78.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0337520
11492454
25001446

prune131.0ms

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: 11.1b

Counts
62 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
7.2b
(/ (pow z 2) y)
12.0b
(/ (pow x 2) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
50×add-sqr-sqrt
45×*-un-lft-identity
38×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
14×add-exp-log
11×add-log-exp
9×unpow2 sqr-pow
8×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
4×pow1
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ diff-log pow-exp clear-num sum-log frac-sub flip-+ div-inv distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 133
Calls
4 calls:
10.0ms
(+ y (/ (pow x 2) y))
20.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series102.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ (pow x 2) y))
37.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
22.0ms
(/ (pow z 2) y)
18.0ms
(/ (pow x 2) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0419838
11459771
25002759

prune312.0ms

Filtered
145 candidates to 92 candidates (63.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1387145
Fresh303
Picked101
Done000
Total1427149

Merged error: 1.0b

Counts
149 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ x (/ y x)))
0.0b
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b
(/ x (/ y x))
7.2b
(/ (pow z 2) y)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
75×add-sqr-sqrt
70×*-un-lft-identity
63×add-cube-cbrt
16×associate-/r*
14×add-exp-log
13×unpow-prod-down
11×add-cbrt-cube associate-/l* add-log-exp
6×div-exp div-inv
5×unpow2 difference-of-squares sqr-pow
4×pow1 cbrt-undiv
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative pow-to-exp sub-neg flip3-- pow-exp associate--l+ associate-/r/ flip--
Counts
4 → 154
Calls
4 calls:
13.0ms
(+ y (/ x (/ y x)))
27.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms
(/ x (/ y x))
5.0ms
(/ (pow z 2) y)

series104.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ y (/ x (/ y x)))
38.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
22.0ms
(/ x (/ y x))
18.0ms
(/ (pow z 2) y)

simplify109.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06051049
12708969
25002963

prune322.0ms

Filtered
166 candidates to 112 candidates (67.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1624166
Fresh426
Picked101
Done000
Total1676173

Merged error: 0b

Counts
173 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ x (/ y x)))
0.0b
(- (+ y (/ x (/ y x))) (* z (/ z y)))
0.1b
(* z (/ z y))
0.2b
(/ x (/ y x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
59×add-sqr-sqrt
56×*-un-lft-identity
54×add-cube-cbrt
14×add-exp-log add-cbrt-cube
13×associate-*r* associate-/r*
11×add-log-exp
6×pow1 div-inv
4×cbrt-undiv div-exp
3×associate-*r/ associate-*l* associate-/l*
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
1×+-commutative sub-neg flip3-- frac-2neg pow-prod-down associate--l+ clear-num associate-/r/ *-commutative flip-- distribute-lft-out
Counts
4 → 130
Calls
4 calls:
13.0ms
(+ y (/ x (/ y x)))
15.0ms
(- (+ y (/ x (/ y x))) (* z (/ z y)))
7.0ms
(* z (/ z y))
6.0ms
(/ x (/ y x))

series107.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ x (/ y x)))
37.0ms
(- (+ y (/ x (/ y x))) (* z (/ z y)))
17.0ms
(* z (/ z y))
23.0ms
(/ x (/ y x))

simplify78.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0599849
12991786
25002779

prune249.0ms

Filtered
142 candidates to 100 candidates (70.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1411142
Fresh145
Picked101
Done000
Total1435148

Merged error: 0b

Counts
148 → 5

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample926.0ms

Algorithm
intervals
Results
633.0ms13818×body80valid

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