Details

Time bar (total: 6.5s)

sample23.0ms

Algorithm
intervals
Results
12.0ms330×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 7 (213.0ms)

IterNodesCost
01213
12213
24513
39813
419013
531713
648613
775011
8215611
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 4.0 (- 0.75 (/ (- z x) y))) 1.0)
0.0b
(/ (- z x) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
6×associate-+l+
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in div-sub associate-/r*
2×pow1 sub-neg associate-/l/ associate--r-
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 55
Calls
2 calls:
18.0ms
(+ (* 4.0 (- 0.75 (/ (- z x) y))) 1.0)
7.0ms
(/ (- z x) y)

series52.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* 4.0 (- 0.75 (/ (- z x) y))) 1.0)
25.0ms
(/ (- z x) y)

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0112714
1270690
2718644
32416627
done5000623

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 4.0 (- 0.75 (- (/ z y) (/ x y)))) 1.0)
0.0b
(- (/ z y) (/ x y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
10×times-frac
6×associate-+l+ add-log-exp
4×add-cube-cbrt distribute-lft-out-- difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1 add-exp-log add-cbrt-cube div-inv associate--r-
1×+-commutative flip3-- distribute-rgt-out-- flip3-+ diff-log sum-log frac-sub flip-- flip-+ sub-div
Counts
2 → 40
Calls
2 calls:
45.0ms
(+ (* 4.0 (- 0.75 (- (/ z y) (/ x y)))) 1.0)
16.0ms
(- (/ z y) (/ x y))

series46.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* 4.0 (- 0.75 (- (/ z y) (/ x y)))) 1.0)
21.0ms
(- (/ z y) (/ x y))

simplify572.0ms

Counts
46 → 46
Iterations

Useful iterations: 3 (160.0ms)

IterNodesCost
093656
1229648
2539602
31785586
done5000586

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z x) y)
0.2b
(pow (* 4.0 (- 0.75 (/ (- z x) y))) 3)
0.2b
(* (* 4.0 (- 0.75 (/ (- z x) y))) (- (* 4.0 (- 0.75 (/ (- z x) y))) 1.0))
20.6b
(/ (+ (pow (* 4.0 (- 0.75 (/ (- z x) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (- 0.75 (/ (- z x) y))) (- (* 4.0 (- 0.75 (/ (- z x) y))) 1.0)) (* 1.0 1.0)))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
34×add-sqr-sqrt
30×times-frac
26×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
12×pow1 associate--l+
10×associate-*r/ associate-/l*
8×flip3-- flip--
6×sub-neg associate-/r*
5×div-sub
4×frac-times pow-prod-down prod-exp sum-cubes cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- associate--r- add-log-exp difference-of-squares
3×pow-unpow associate-*r*
2×cbrt-undiv cube-div pow-pow frac-2neg flip3-+ div-exp associate-*l/ pow-exp clear-num associate-/r/ flip-+ div-inv rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod associate-*l* *-commutative sqr-pow
Counts
4 → 143
Calls
4 calls:
7.0ms
(/ (- z x) y)
15.0ms
(pow (* 4.0 (- 0.75 (/ (- z x) y))) 3)
96.0ms
(* (* 4.0 (- 0.75 (/ (- z x) y))) (- (* 4.0 (- 0.75 (/ (- z x) y))) 1.0))
155.0ms
(/ (+ (pow (* 4.0 (- 0.75 (/ (- z x) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (- 0.75 (/ (- z x) y))) (- (* 4.0 (- 0.75 (/ (- z x) y))) 1.0)) (* 1.0 1.0)))

series424.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (- z x) y)
110.0ms
(pow (* 4.0 (- 0.75 (/ (- z x) y))) 3)
96.0ms
(* (* 4.0 (- 0.75 (/ (- z x) y))) (- (* 4.0 (- 0.75 (/ (- z x) y))) 1.0))
191.0ms
(/ (+ (pow (* 4.0 (- 0.75 (/ (- z x) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (- 0.75 (/ (- z x) y))) (- (* 4.0 (- 0.75 (/ (- z x) y))) 1.0)) (* 1.0 1.0)))

simplify1.2s

Counts
155 → 155
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
03104895
18264684
236874324
done50004324

prune447.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11413
done1413

end0.0ms

sample492.0ms

Algorithm
intervals
Results
291.0ms10096×body80valid