Details

Time bar (total: 11.9s)

sample27.0ms

Algorithm
intervals
Results
9.0ms301×body80valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
done25
425
324
221
114
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×times-frac add-cube-cbrt add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×clear-num sub-neg frac-2neg flip3-- diff-log prod-exp frac-sub cbrt-unprod div-inv flip-- associate-/l* distribute-lft-out--
Counts
2 → 37
Calls
2 calls:
7.0ms
(/ (* x y) 2.0)
28.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series113.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* x y) 2.0)
83.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify1.2s

Counts
43 → 43
Iterations
IterNodes
done5001
2925
1217
089

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
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 clear-num frac-2neg associate-*l/ associate-*r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 166
Calls
4 calls:
16.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
46.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
5.0ms
(/ x (sqrt 2.0))
5.0ms
(/ y (sqrt 2.0))

series880.0ms

Counts
4 → 12
Calls
4 calls:
538.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
166.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
89.0ms
(/ x (sqrt 2.0))
87.0ms
(/ y (sqrt 2.0))

simplify1.7s

Counts
178 → 178
Iterations
IterNodes
done5002
23001
1568
0206

prune731.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (/ z 8.0) (/ z 8.0)) (* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x)))))
3.4b
(- (* (* (/ (* y x) 2.0) (/ (* y x) 2.0)) (/ (* y x) 2.0)) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0)))
3.5b
(* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x))))
39.2b
(/ (- (* (* (/ (* y x) 2.0) (/ (* y x) 2.0)) (/ (* y x) 2.0)) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0))) (+ (* (/ z 8.0) (/ z 8.0)) (* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x))))))

rewrite805.0ms

Algorithm
rewrite-expression-head
Rules
175×frac-times
161×associate-*l/
119×associate-*r/
98×frac-sub
83×times-frac
58×add-sqr-sqrt
56×frac-add
55×*-un-lft-identity
51×associate-/l/
49×add-cube-cbrt
44×associate-*l*
24×associate-/r/
16×flip3-+ flip-+
15×add-cbrt-cube add-exp-log
10×pow3
8×add-log-exp
6×pow1
5×difference-cubes associate-*r* div-inv
4×cbrt-undiv div-exp associate-/l*
3×associate-/r* prod-exp cbrt-unprod unswap-sqr
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-- flip-- distribute-lft-out
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down *-commutative
Counts
4 → 278
Calls
4 calls:
24.0ms
(+ (* (/ z 8.0) (/ z 8.0)) (* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x)))))
126.0ms
(- (* (* (/ (* y x) 2.0) (/ (* y x) 2.0)) (/ (* y x) 2.0)) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0)))
248.0ms
(* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x))))
390.0ms
(/ (- (* (* (/ (* y x) 2.0) (/ (* y x) 2.0)) (/ (* y x) 2.0)) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0))) (+ (* (/ z 8.0) (/ z 8.0)) (* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x))))))

series709.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(+ (* (/ z 8.0) (/ z 8.0)) (* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x)))))
240.0ms
(- (* (* (/ (* y x) 2.0) (/ (* y x) 2.0)) (/ (* y x) 2.0)) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0)))
84.0ms
(* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x))))
204.0ms
(/ (- (* (* (/ (* y x) 2.0) (/ (* y x) 2.0)) (/ (* y x) 2.0)) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0))) (+ (* (/ z 8.0) (/ z 8.0)) (* (/ y (/ 2.0 x)) (+ (/ z 8.0) (/ y (/ 2.0 x))))))

simplify1.8s

Counts
290 → 290
Iterations
IterNodes
done5000
11903
0528

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes380.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample832.0ms

Algorithm
intervals
Results
537.0ms9179×body80valid