Details

Time bar (total: 14.8s)

sample20.0ms

Algorithm
intervals
Results
10.0ms310×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
2189
3329
4449
5549
6729
71069
81569
92119
102899
114929
1213909
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
12.9b
(/ (+ x (* y (- z x))) z)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
10.0ms
(+ x (* y (- z x)))
24.0ms
(* y (- z x))
46.0ms
(/ (+ x (* y (- z x))) z)

series165.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (* y (- z x)))
48.0ms
(* y (- z x))
80.0ms
(/ (+ x (* y (- z x))) z)

simplify2.4s

Counts
79 → 79
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0117903
1260858
2740794
33099794
done5000788

prune257.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y x) x)
0.0b
(- y (/ (- (* y x) x) z))
5.5b
(/ (- (* y x) x) z)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log distribute-rgt-out-- add-cbrt-cube
4×associate-/l*
3×pow1 flip3-- associate-/r* flip--
2×sub-neg diff-log div-sub associate-/l/ difference-of-squares
1×cbrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out-- associate--r-
Counts
3 → 63
Calls
3 calls:
17.0ms
(- (* y x) x)
32.0ms
(- y (/ (- (* y x) x) z))
26.0ms
(/ (- (* y x) x) z)

series137.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* y x) x)
42.0ms
(- y (/ (- (* y x) x) z))
56.0ms
(/ (- (* y x) x) z)

simplify1.5s

Counts
72 → 72
Iterations

Useful iterations: 3 (529.0ms)

IterNodesCost
0112867
1257822
2680772
32288764
done5000764

prune160.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y 1))
0.0b
(- y (/ x (/ z (- y 1))))
2.9b
(/ x (/ z (- y 1)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
189×times-frac
160×add-sqr-sqrt
137×*-un-lft-identity
87×add-cube-cbrt
35×difference-of-squares
34×associate-/r*
17×distribute-lft-out--
16×difference-of-sqr-1
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 187
Calls
3 calls:
16.0ms
(/ z (- y 1))
66.0ms
(- y (/ x (/ z (- y 1))))
26.0ms
(/ x (/ z (- y 1)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ z (- y 1))
38.0ms
(- y (/ x (/ z (- y 1))))
70.0ms
(/ x (/ z (- y 1)))

simplify1.1s

Counts
196 → 196
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02872934
16052705
218132615
done50012597

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* (/ x z) (- y 1)))
4.8b
(* (/ x z) (- y 1))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log associate-*r* add-cbrt-cube
5×sub-neg
4×pow1 distribute-rgt-in distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times associate-*r/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv diff-log difference-of-sqr-1 div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out--
Counts
2 → 60
Calls
2 calls:
6.0ms
(- y (* (/ x z) (- y 1)))
34.0ms
(* (/ x z) (- y 1))

series85.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- y (* (/ x z) (- y 1)))
52.0ms
(* (/ x z) (- y 1))

simplify3.0s

Counts
66 → 66
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0120743
1302692
2929638
33413630
done5000630

prune147.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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
1119
done119

end0.0ms

sample816.0ms

Algorithm
intervals
Results
520.0ms10099×body80valid