Details

Time bar (total: 2.8s)

sample124.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
18.0ms445×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
3.9b
(- (+ (* x x) (* y y)) (* z z))
26.0b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity
times-frac associate-/l*
pow1 difference-of-squares
cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
+-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))
5.0ms
(- (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series38.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* y y))
11.0ms
(- (+ (* x x) (* y y)) (* z z))
21.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0337520
11492454
25001446

prune98.0ms

Filtered
46 candidates to 61 candidates (-32.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 10.4b

Counts
62 → 5

localize11.0ms

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))
8.6b
(/ (pow z 2) y)
11.7b
(/ (pow x 2) y)

rewrite45.0ms

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
unpow2 sqr-pow
add-cbrt-cube
div-exp associate-/r*
difference-of-squares
pow1
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--
+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 133
Calls
4 calls:
12.0ms
(+ y (/ (pow x 2) y))
19.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ y (/ (pow x 2) y))
12.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
3.0ms
(/ (pow z 2) y)
4.0ms
(/ (pow x 2) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0419838
11459771
25002759

prune256.0ms

Filtered
92 candidates to 145 candidates (-57.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1378145
Fresh224
Picked101
Done000
Total14010150

Merged error: 1.9b

Counts
150 → 10

localize14.0ms

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))
8.6b
(/ (pow z 2) y)

rewrite52.0ms

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
div-exp div-inv
unpow2 difference-of-squares sqr-pow
pow1 cbrt-undiv
frac-2neg flip3-+ diff-log clear-num sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
+-commutative pow-to-exp sub-neg flip3-- pow-exp associate--l+ associate-/r/ flip--
Counts
4 → 154
Calls
4 calls:
12.0ms
(+ y (/ x (/ y x)))
23.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms
(/ x (/ y x))
5.0ms
(/ (pow z 2) y)

series29.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ y (/ x (/ y x)))
16.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
3.0ms
(/ x (/ y x))
4.0ms
(/ (pow z 2) y)

simplify79.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06051049
12708969
25002963

prune219.0ms

Filtered
112 candidates to 166 candidates (-48.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1624166
Fresh369
Picked101
Done000
Total16610176

Merged error: 0b

Counts
176 → 10

localize13.0ms

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))

rewrite45.0ms

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
pow1 div-inv
cbrt-undiv div-exp
associate-*r/ associate-*l* associate-/l*
flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
+-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)))
6.0ms
(* z (/ z y))
6.0ms
(/ x (/ y x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ y (/ x (/ y x)))
12.0ms
(- (+ y (/ x (/ y x))) (* z (/ z y)))
3.0ms
(* z (/ z y))
4.0ms
(/ x (/ y x))

simplify79.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0599849
12991786
25002779

prune115.0ms

Filtered
99 candidates to 142 candidates (-43.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh189
Picked011
Done000
Total14210152

Merged error: 0b

Counts
152 → 10

regimes341.0ms

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
0147
1147

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
575.0ms13580×body80valid

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