Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms300×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1214
2244
3254
4254

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-cube-cbrt times-frac add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num frac-sub flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out--
Counts
2 → 37
Calls
2 calls:
4.0ms
(/ (* x y) 2.0)
9.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (* x y) 2.0)
8.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209217
1779198
23389197
35001197

prune54.0ms

Filtered
43 candidates to 31 candidates (27.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh000
Picked011
Done000
Total41344

Merged error: 0.0b

Counts
44 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
0.3b
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.4b
(/ x (sqrt 2.0))
0.4b
(/ y (sqrt 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l* add-log-exp
4×prod-exp cbrt-unprod div-inv
3×frac-sub
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 166
Calls
4 calls:
10.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
17.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms
(/ x (sqrt 2.0))
4.0ms
(/ y (sqrt 2.0))

series41.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
13.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
5.0ms
(/ x (sqrt 2.0))
5.0ms
(/ y (sqrt 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05311196
123571112
250031044

prune257.0ms

Filtered
178 candidates to 113 candidates (36.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1771178
Fresh101
Picked011
Done011
Total1783181

Merged error: 0b

Counts
181 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (sqrt (sqrt 2.0)))
0.3b
(/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b
(* (/ x (sqrt 2.0)) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
0.4b
(/ x (sqrt 2.0))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
1223×times-frac
1213×sqrt-prod
772×add-sqr-sqrt
605×add-cube-cbrt *-un-lft-identity
283×associate-*r*
39×unswap-sqr
37×associate-/l*
34×add-exp-log add-cbrt-cube
24×associate-/r* div-inv
22×associate-*l*
14×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 792
Calls
4 calls:
5.0ms
(/ y (sqrt (sqrt 2.0)))
18.0ms
(/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
120.0ms
(* (/ x (sqrt 2.0)) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
4.0ms
(/ x (sqrt 2.0))

series32.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ y (sqrt (sqrt 2.0)))
5.0ms
(/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
13.0ms
(* (/ x (sqrt 2.0)) (/ (/ y (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
5.0ms
(/ x (sqrt 2.0))

simplify142.0ms

Algorithm
egg-herbie
Counts
804 → 804
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0200710391
150018906

prune1.4s

Filtered
804 candidates to 314 candidates (60.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New8040804
Fresh000
Picked011
Done022
Total8043807

Merged error: 0b

Counts
807 → 3

regimes322.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample532.0ms

Algorithm
intervals
Results
276.0ms9119×body80valid

Profiling

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