Details

Time bar (total: 11.8s)

sample25.0ms

Algorithm
intervals
Results
11.0ms301×body80valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
done25
525
424
322
219
114
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
8.0ms
(/ (* x y) 2.0)
19.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series101.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* x y) 2.0)
77.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify1.8s

Counts
43 → 43
Iterations
IterNodes
done5246
32930
2706
1217
089

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))
0.3b
(* (/ 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:
18.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
39.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
9.0ms
(/ x (sqrt 2.0))
6.0ms
(/ y (sqrt 2.0))

series606.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
182.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
97.0ms
(/ x (sqrt 2.0))
80.0ms
(/ y (sqrt 2.0))

simplify1.8s

Counts
178 → 178
Iterations
IterNodes
done5002
21879
1565
0206

prune724.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (/ z 8.0) (/ z 8.0)) (* (* y (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0)))))
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 (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0))))
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 (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0))))))

rewrite775.0ms

Algorithm
rewrite-expression-head
Rules
357×associate-*r/
175×frac-times
133×associate-*l/
98×frac-sub
56×frac-add
51×associate-/l/
23×associate-/r/
16×flip3-+ flip-+
15×add-cbrt-cube add-exp-log
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
9×pow1
8×add-log-exp
5×difference-cubes cube-unmult pow3 prod-exp cbrt-unprod
4×associate-/l*
3×associate-/r* associate-*r* pow-prod-down
2×distribute-rgt-in cbrt-undiv associate-+r+ distribute-lft-in flip3-- div-exp flip--
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub associate-*l* *-commutative div-inv
Counts
4 → 231
Calls
4 calls:
20.0ms
(+ (* (/ z 8.0) (/ z 8.0)) (* (* y (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0)))))
163.0ms
(- (* (* y (/ x 2.0)) (* (* y (/ x 2.0)) (* y (/ x 2.0)))) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0)))
60.0ms
(* (* y (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0))))
517.0ms
(/ (- (* (* 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 (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0))))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ (* (/ z 8.0) (/ z 8.0)) (* (* y (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0)))))
194.0ms
(- (* (* y (/ x 2.0)) (* (* y (/ x 2.0)) (* y (/ x 2.0)))) (* (* (/ z 8.0) (/ z 8.0)) (/ z 8.0)))
67.0ms
(* (* y (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0))))
142.0ms
(/ (- (* (* 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 (/ x 2.0)) (+ (/ z 8.0) (* y (/ x 2.0))))))

simplify1.5s

Counts
243 → 243
Iterations
IterNodes
done5002
11415
0428

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes367.0ms

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

sample1.3s

Algorithm
intervals
Results
512.0ms9179×body80valid