Details

Time bar (total: 19.0s)

sample38.0ms

Algorithm
intervals
Results
20.0ms308×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (415.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube associate-/l*
4×distribute-lft-out-- difference-of-squares
3×pow1 associate-/r*
2×+-commutative flip3-+ div-sub sum-log flip-+ associate-/l/
1×cbrt-undiv associate-+l- flip3-- frac-2neg div-exp clear-num flip-- div-inv distribute-lft-out
Counts
3 → 62
Calls
3 calls:
53.0ms
(+ (/ (- x z) y) 0.75)
46.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.75) 4.0))
42.0ms
(/ (- x z) y)

series128.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ (- x z) y) 0.75)
53.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.75) 4.0))
51.0ms
(/ (- x z) y)

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: 3 (967.0ms)

IterNodesCost
0125844
1317799
2862747
33323731
done5002731

prune275.0ms

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)

rewrite27.0ms

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:
24.0ms
(/ (- x z) y)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (- x z) y)

simplify2.0s

Counts
41 → 41
Iterations

Useful iterations: 4 (913.0ms)

IterNodesCost
073404
1156383
2361363
3949363
42416362
done5000362

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
39.0ms
(- (/ x y) (/ z y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- (/ x y) (/ z y))

simplify3.0s

Counts
26 → 26
Iterations

Useful iterations: 4 (393.0ms)

IterNodesCost
055302
1118297
2250281
3542281
41400279
54325279
done5000279

prune92.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

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))

rewrite257.0ms

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:
17.0ms
(+ (* z (+ x z)) (* x x))
64.0ms
(* (+ (* z (+ x z)) (* x x)) y)
48.0ms
(- (pow x 3) (pow z 3))
121.0ms
(/ (- (pow x 3) (pow z 3)) (* (+ (* z (+ x z)) (* x x)) y))

series331.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* z (+ x z)) (* x x))
66.0ms
(* (+ (* z (+ x z)) (* x x)) y)
92.0ms
(- (pow x 3) (pow z 3))
136.0ms
(/ (- (pow x 3) (pow z 3)) (* (+ (* z (+ x z)) (* x x)) y))

simplify1.9s

Counts
149 → 149
Iterations

Useful iterations: 2 (538.0ms)

IterNodesCost
01882919
14682767
219842559
done50002559

prune653.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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
089
1109
done109

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10078×body80valid