Details

Time bar (total: 3.1s)

sample28.0ms

Algorithm
intervals
Results
16.0ms409×body80valid

simplify53.0ms

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: 28.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

5.5b
(- (+ (* x x) (* y y)) (* z z))
26.0b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-sqr-sqrt add-cbrt-cube add-log-exp
4×add-cube-cbrt *-un-lft-identity times-frac associate-/l*
3×difference-of-squares
2×pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 41
Calls
2 calls:
5.0ms
(- (+ (* x x) (* y y)) (* z z))
12.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series119.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (+ (* x x) (* y y)) (* z z))
76.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0275450
11168388
25001380

prune111.0ms

Filtered
47 candidates to 35 candidates (74.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New41647
Fresh000
Picked101
Done000
Total42648

Merged error: 12.5b

Counts
48 → 6

localize10.0ms

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))
9.1b
(/ (pow x 2) y)
10.3b
(/ (pow z 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:
12.0ms
(+ y (/ (pow x 2) y))
18.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow x 2) y)
5.0ms
(/ (pow z 2) y)

series106.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ (pow x 2) y))
38.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
18.0ms
(/ (pow x 2) y)
19.0ms
(/ (pow z 2) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0419838
11459771
25002759

prune312.0ms

Filtered
145 candidates to 92 candidates (63.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1405145
Fresh235
Picked101
Done000
Total1438151

Merged error: 1.0b

Counts
151 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.0b
(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
0.1b
(/ z (/ y z))
9.1b
(/ (pow x 2) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
72×add-sqr-sqrt
70×*-un-lft-identity
63×add-cube-cbrt
16×associate-/r*
14×add-exp-log
12×unpow-prod-down
11×add-cbrt-cube associate-/l* add-log-exp
6×div-exp div-inv
4×pow1 cbrt-undiv unpow2 sqr-pow
3×difference-of-squares
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 → 152
Calls
4 calls:
12.0ms
(+ y (/ (pow x 2) y))
22.0ms
(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
5.0ms
(/ z (/ y z))
5.0ms
(/ (pow x 2) y)

series112.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ (pow x 2) y))
45.0ms
(- (+ y (/ (pow x 2) y)) (/ z (/ y z)))
18.0ms
(/ z (/ y z))
19.0ms
(/ (pow x 2) y)

simplify78.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06021025
12749949
25001943

prune343.0ms

Filtered
164 candidates to 113 candidates (68.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1613164
Fresh347
Picked101
Done000
Total1657172

Merged error: 0.0b

Counts
172 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
97×add-sqr-sqrt
95×*-un-lft-identity
88×add-cube-cbrt
26×associate-/r*
14×add-exp-log add-cbrt-cube
11×add-log-exp
10×div-inv
6×cbrt-undiv div-exp associate-/l*
4×pow1
3×difference-of-squares
2×frac-2neg flip3-+ diff-log clear-num sum-log associate-/r/ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 173
Calls
4 calls:
16.0ms
(+ y (/ x (/ y x)))
24.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
5.0ms
(/ x (/ y x))
9.0ms
(/ z (/ y z))

series104.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ x (/ y x)))
38.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
18.0ms
(/ x (/ y x))
22.0ms
(/ z (/ y z))

simplify100.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07621236
137801155
250011151

prune329.0ms

Filtered
185 candidates to 133 candidates (71.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1850185
Fresh066
Picked011
Done000
Total1857192

Merged error: 0.0b

Counts
192 → 7

regimes152.0ms

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
0137
1137

end0.0ms

sample846.0ms

Algorithm
intervals
Results
560.0ms13571×body80valid

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