Details

Time bar (total: 7.5s)

sample21.0ms

Algorithm
intervals
Results
11.0ms318×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (450.0ms)

IterNodesCost
01011
12011
24711
312911
427011
549711
676211
711229
828559
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
24.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify1.2s

Counts
26 → 26
Iterations

Useful iterations: done (1.2s)

IterNodesCost
068406
1187395
2630317
33120317
done5000316

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (- (- x y) (* z 0.5)))
0.2b
(/ 4.0 (/ z (- (- x y) (* z 0.5))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 107
Calls
2 calls:
16.0ms
(/ z (- (- x y) (* z 0.5)))
20.0ms
(/ 4.0 (/ z (- (- x y) (* z 0.5))))

series134.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ z (- (- x y) (* z 0.5)))
48.0ms
(/ 4.0 (/ z (- (- x y) (* z 0.5))))

simplify590.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01962288
14452200
214702076
done50012076

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ (- x y) (* z 0.5)))
0.0b
(* (- x y) (- x y))
7.1b
(- (* (- x y) (- x y)) (* (* z 0.5) (* z 0.5)))
31.6b
(/ (* 4.0 (- (* (- x y) (- x y)) (* (* z 0.5) (* z 0.5)))) (* z (+ (- x y) (* z 0.5))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
13×pow1
10×add-cube-cbrt
8×flip3-- associate-*r/ associate-*r* associate-*l* flip--
7×swap-sqr
6×prod-exp cbrt-unprod distribute-lft-out-- add-log-exp
5×distribute-rgt-in sub-neg distribute-lft-in difference-of-squares
4×cbrt-undiv frac-times div-exp associate--l+
2×flip3-+ pow-prod-down associate-*l/ associate-/r/ *-commutative flip-+ associate-/l/ unswap-sqr
1×pow2 frac-2neg times-frac pow-plus diff-log clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 109
Calls
4 calls:
37.0ms
(* z (+ (- x y) (* z 0.5)))
16.0ms
(* (- x y) (- x y))
11.0ms
(- (* (- x y) (- x y)) (* (* z 0.5) (* z 0.5)))
33.0ms
(/ (* 4.0 (- (* (- x y) (- x y)) (* (* z 0.5) (* z 0.5)))) (* z (+ (- x y) (* z 0.5))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (+ (- x y) (* z 0.5)))
17.0ms
(* (- x y) (- x y))
70.0ms
(- (* (- x y) (- x y)) (* (* z 0.5) (* z 0.5)))
88.0ms
(/ (* 4.0 (- (* (- x y) (- x y)) (* (* z 0.5) (* z 0.5)))) (* z (+ (- x y) (* z 0.5))))

simplify893.0ms

Counts
121 → 121
Iterations

Useful iterations: done (890.0ms)

IterNodesCost
01902374
15582231
226741787
done50011785

prune231.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample491.0ms

Algorithm
intervals
Results
282.0ms10129×body80valid