Details

Time bar (total: 5.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms264×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1163
2183
3183
done183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:
25.0ms
(/ (- x y) (- z y))

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (- x y) (- z y))

simplify55.0ms

Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0228361
1634347
22142347
35002347
done5002347

prune106.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.1b
(/ 1 (/ (- z y) (- x y)))

rewrite61.0ms

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:
22.0ms
(/ (- z y) (- x y))
27.0ms
(/ 1 (/ (- z y) (- x y)))

series187.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z y) (- x y))
136.0ms
(/ 1 (/ (- z y) (- x y)))

simplify71.0ms

Counts
210 → 210
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05931807
127021636
250011468
done50011468

prune263.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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))
0.1b
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

rewrite299.0ms

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:
11.0ms
(/ z (- x y))
102.0ms
(- (/ z (- x y)) (/ y (- x y)))
11.0ms
(/ y (- x y))
106.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ z (- x y))
68.0ms
(- (/ z (- x y)) (/ y (- x y)))
48.0ms
(/ y (- x y))
76.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

simplify193.0ms

Counts
680 → 680
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
0138516603
1425212289
2500112289
done500112289

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ z (- x y)) (/ y (- x y)))) (cbrt (- (/ z (- x y)) (/ y (- x y))))))
3.1b
(cbrt (- (/ z (- x y)) (/ y (- x y))))
3.1b
(cbrt (- (/ z (- x y)) (/ y (- x y))))
3.1b
(cbrt (- (/ z (- x y)) (/ y (- x y))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
61×add-sqr-sqrt
55×times-frac
54×cbrt-prod
52×cbrt-div
36×associate-/r/ distribute-lft-out--
19×flip3-- flip--
18×difference-of-squares
16×add-exp-log frac-times
13×add-cube-cbrt frac-sub sub-div
9×distribute-rgt-out--
8×add-cbrt-cube
7×div-inv
4×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 143
Calls
4 calls:
117.0ms
(/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ z (- x y)) (/ y (- x y)))) (cbrt (- (/ z (- x y)) (/ y (- x y))))))
49.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
50.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
51.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
353.0ms
(/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ z (- x y)) (/ y (- x y)))) (cbrt (- (/ z (- x y)) (/ y (- x y))))))
241.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
206.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
207.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))

simplify85.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05482089
114811916
249821788
350011788
done50011788

prune551.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes70.0ms

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
063
163
done63

end0.0ms

sample368.0ms

Algorithm
intervals
Results
150.0ms8334×body80valid