Details

Time bar (total: 17.6s)

sample27.0ms

Algorithm
intervals
Results
13.0ms308×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (461.0ms)

IterNodesCost
01213
12213
24613
310913
423213
536413
648513
764811
8108111
9245111
done500111

prune7.0ms

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
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
0.0b
(/ (- x z) y)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
30.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
15.0ms
(/ (- x z) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
48.0ms
(/ (- x z) y)

simplify1.3s

Counts
55 → 55
Iterations

Useful iterations: 3 (549.0ms)

IterNodesCost
0105660
1255628
2691586
32481574
done5001574

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x z) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/l*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
19.0ms
(/ (- x z) y)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (- x z) y)

simplify1.9s

Counts
41 → 41
Iterations

Useful iterations: 4 (757.0ms)

IterNodesCost
073404
1156383
2361363
3949363
42416362
done5000362

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ x y) (/ z y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×*-un-lft-identity
10×times-frac
4×distribute-lft-out-- difference-of-squares
3×add-cube-cbrt add-log-exp
2×div-inv
1×pow1 add-exp-log sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub add-cbrt-cube flip-- sub-div
Counts
1 → 23
Calls
1 calls:
30.0ms
(- (/ x y) (/ z y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(- (/ x y) (/ z y))

simplify3.5s

Counts
26 → 26
Iterations

Useful iterations: 4 (334.0ms)

IterNodesCost
055302
1118297
2250281
3542281
41400279
54325279
done5000279

prune79.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* z (+ x z)) (* x x))
2.2b
(* (+ (* z (+ x z)) (* x x)) y)
3.0b
(- (pow x 3) (pow z 3))
41.6b
(/ (- (pow x 3) (pow z 3)) (* (+ (* z (+ x z)) (* x x)) y))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
48×difference-of-squares
38×*-un-lft-identity
36×unpow-prod-down cube-prod
25×times-frac associate-/l*
24×sqr-pow
15×distribute-lft-out--
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×pow1
4×associate-*l/
3×difference-cubes flip3-+ associate-*r* associate-*l* flip-+
2×cbrt-undiv associate-+l+ flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv unswap-sqr
Counts
4 → 137
Calls
4 calls:
14.0ms
(+ (* z (+ x z)) (* x x))
55.0ms
(* (+ (* z (+ x z)) (* x x)) y)
27.0ms
(- (pow x 3) (pow z 3))
109.0ms
(/ (- (pow x 3) (pow z 3)) (* (+ (* z (+ x z)) (* x x)) y))

series262.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* z (+ x z)) (* x x))
59.0ms
(* (+ (* z (+ x z)) (* x x)) y)
56.0ms
(- (pow x 3) (pow z 3))
116.0ms
(/ (- (pow x 3) (pow z 3)) (* (+ (* z (+ x z)) (* x x)) y))

simplify1.8s

Counts
149 → 149
Iterations

Useful iterations: 2 (464.0ms)

IterNodesCost
01882919
14682767
219842559
done50002559

prune588.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

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
1119
done119

end0.0ms

sample1.2s

Algorithm
intervals
Results
819.0ms10078×body80valid