Details

Time bar (total: 7.1s)

sample31.0ms

Algorithm
intervals
Results
13.0ms293×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1149
2219
3249
4259
done259

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:
15.0ms
(/ (* x y) 2.0)
28.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series370.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* x y) 2.0)
348.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify888.0ms

Counts
43 → 43
Iterations

Useful iterations: done (886.0ms)

IterNodesCost
089469
1217447
2930409
done5000407

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (/ 2.0 y)) (/ z 8.0))
0.2b
(/ x (/ 2.0 y))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
65×add-sqr-sqrt
50×*-un-lft-identity
44×add-cube-cbrt
13×associate-/r*
7×add-exp-log add-cbrt-cube
6×difference-of-squares
5×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1 distribute-lft-out--
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r/ frac-sub flip--
Counts
2 → 91
Calls
2 calls:
77.0ms
(- (/ x (/ 2.0 y)) (/ z 8.0))
16.0ms
(/ x (/ 2.0 y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- (/ x (/ 2.0 y)) (/ z 8.0))
32.0ms
(/ x (/ 2.0 y))

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01981278
14871212
219181148
done50001144

prune274.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

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:
22.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
60.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
6.0ms
(/ x (sqrt 2.0))
11.0ms
(/ y (sqrt 2.0))

series593.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
209.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
74.0ms
(/ x (sqrt 2.0))
96.0ms
(/ y (sqrt 2.0))

simplify1.6s

Counts
178 → 178
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02082116
15731935
230161837
done50011829

prune597.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1109
done109

end0.0ms

sample974.0ms

Algorithm
intervals
Results
478.0ms9173×body80valid
0.0ms1×body640valid