Details

Time bar (total: 15.8s)

sample22.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
46.0ms
(/ (- x y) (- z y))

series114.0ms

Counts
1 → 3
Calls
1 calls:
114.0ms
(/ (- x y) (- z y))

simplify3.0s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
096724
1229696
2562668
31380668
43737666
done5000666

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp associate-*l/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 95
Calls
2 calls:
13.0ms
(/ 1 (- z y))
63.0ms
(* (- x y) (/ 1 (- z y)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 1 (- z y))
62.0ms
(* (- x y) (/ 1 (- z y)))

simplify2.8s

Counts
101 → 101
Iterations

Useful iterations: 2 (175.0ms)

IterNodesCost
01321065
1297858
2825778
32652778
done5000778

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.4b
(/ 1 (/ (- z y) (- x y)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 204
Calls
2 calls:
38.0ms
(/ (- z y) (- x y))
41.0ms
(/ 1 (/ (- z y) (- x y)))

series288.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ (- z y) (- x y))
208.0ms
(/ 1 (/ (- z y) (- x y)))

simplify3.2s

Counts
210 → 210
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
02533562
15783050
213172777
334772701
done50002701

prune384.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- x y))
0.0b
(- (/ z (- x y)) (/ y (- x y)))
0.0b
(/ y (- x y))
0.4b
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

rewrite463.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv frac-2neg clear-num
2×frac-sub sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 668
Calls
4 calls:
14.0ms
(/ z (- x y))
169.0ms
(- (/ z (- x y)) (/ y (- x y)))
29.0ms
(/ y (- x y))
144.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ z (- x y))
120.0ms
(- (/ z (- x y)) (/ y (- x y)))
55.0ms
(/ y (- x y))
115.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

simplify2.3s

Counts
680 → 680
Iterations

Useful iterations: done (2.3s)

IterNodesCost
065930257
1137427056
2286221046
done500118589

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes108.0ms

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
067
done67

end0.0ms

sample808.0ms

Algorithm
intervals
Results
387.0ms8325×body80valid