Details

Time bar (total: 21.7s)

sample13.0ms

Algorithm
intervals
Results
4.0ms264×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1163
2183
3183
done183

prune1.0ms

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))

rewrite22.0ms

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 frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
20.0ms
(/ (- x y) (- z y))

series51.0ms

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

simplify48.0ms

Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0223354
1618340
22045340
35001340
done5001340

prune91.0ms

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)))

rewrite56.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
22.0ms
(/ (- z y) (- x y))
23.0ms
(/ 1 (/ (- z y) (- x y)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z y) (- x y))
131.0ms
(/ 1 (/ (- z y) (- x y)))

simplify62.0ms

Counts
206 → 206
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05841790
126781621
250021454
done50021454

prune227.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

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))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
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 → 198
Calls
4 calls:
10.0ms
(/ z (- x y))
73.0ms
(- (/ z (- x y)) (/ y (- x y)))
12.0ms
(/ y (- x y))
101.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ z (- x y))
66.0ms
(- (/ z (- x y)) (/ y (- x y)))
46.0ms
(/ y (- x y))
77.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

simplify53.0ms

Counts
210 → 210
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04831615
117951525
250011429
done50011429

prune314.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ 1 (cbrt (/ (- z y) (- x y)))) (cbrt (/ (- z y) (- x y)))) (/ 1 (cbrt (/ (- z y) (- x y)))))
3.1b
(cbrt (/ (- z y) (- x y)))
3.1b
(cbrt (/ (- z y) (- x y)))
3.1b
(cbrt (/ (- z y) (- x y)))

rewrite5.3s

Algorithm
rewrite-expression-head
Rules
13131×times-frac
8838×add-sqr-sqrt
8239×*-un-lft-identity
6939×cbrt-prod
3807×add-cube-cbrt
3643×associate-*l*
2150×distribute-lft-out-- difference-of-squares
466×associate-/r/
259×div-inv
215×flip3-- flip--
161×unswap-sqr
107×associate-*r*
69×add-exp-log
39×cbrt-div
34×div-exp
20×prod-exp
16×add-cbrt-cube
14×pow1
9×cbrt-undiv rec-exp 1-exp
6×pow-flip pow1/3 cbrt-unprod
5×pow-prod-up pow-div
4×inv-pow add-log-exp
1×frac-times associate-*r/ pow3 pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
4 → 4076
Calls
4 calls:
4.4s
(* (/ (/ 1 (cbrt (/ (- z y) (- x y)))) (cbrt (/ (- z y) (- x y)))) (/ 1 (cbrt (/ (- z y) (- x y)))))
8.0ms
(cbrt (/ (- z y) (- x y)))
11.0ms
(cbrt (/ (- z y) (- x y)))
8.0ms
(cbrt (/ (- z y) (- x y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (/ (/ 1 (cbrt (/ (- z y) (- x y)))) (cbrt (/ (- z y) (- x y)))) (/ 1 (cbrt (/ (- z y) (- x y)))))
310.0ms
(cbrt (/ (- z y) (- x y)))
293.0ms
(cbrt (/ (- z y) (- x y)))
294.0ms
(cbrt (/ (- z y) (- x y)))

simplify627.0ms

Counts
4088 → 4088
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0500180100
done500180100

prune12.7s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes65.0ms

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

sample356.0ms

Algorithm
intervals
Results
145.0ms8334×body80valid