Details

Time bar (total: 11.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
7.9b
(/ (+ x (* y (- z x))) z)

rewrite52.0ms

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:
7.0ms
(+ x (* y (- z x)))
19.0ms
(* y (- z x))
25.0ms
(/ (+ x (* y (- z x))) z)

series115.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ x (* y (- z x)))
39.0ms
(* y (- z x))
45.0ms
(/ (+ x (* y (- z x))) z)

simplify1.6s

Counts
79 → 79
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0117903
1260858
2740794
33099794
done5000788

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y x) x)
0.0b
(- y (/ (- (* y x) x) z))
3.6b
(/ (- (* y x) x) z)

rewrite51.0ms

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:
8.0ms
(- (* y x) x)
22.0ms
(- y (/ (- (* y x) x) z))
19.0ms
(/ (- (* y x) x) z)

series92.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- (* y x) x)
32.0ms
(- y (/ (- (* y x) x) z))
37.0ms
(/ (- (* y x) x) z)

simplify1.2s

Counts
72 → 72
Iterations

Useful iterations: 3 (442.0ms)

IterNodesCost
0112867
1257822
2680772
32288764
done5000764

prune135.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y 1))
0.0b
(- y (/ x (/ z (- y 1))))
3.3b
(/ x (/ z (- y 1)))

rewrite82.0ms

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:
11.0ms
(/ z (- y 1))
45.0ms
(- y (/ x (/ z (- y 1))))
17.0ms
(/ x (/ z (- y 1)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ z (- y 1))
28.0ms
(- y (/ x (/ z (- y 1))))
53.0ms
(/ x (/ z (- y 1)))

simplify1.1s

Counts
196 → 196
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02872934
16052705
218132615
done50012597

prune342.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (/ (/ x z) (/ 1 (- y 1))))
0.0b
(/ 1 (- y 1))
2.4b
(/ (/ x z) (/ 1 (- y 1)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
931×times-frac
574×add-sqr-sqrt
507×*-un-lft-identity
365×add-cube-cbrt
99×difference-of-squares
47×distribute-lft-out--
46×difference-of-sqr-1
44×div-inv
34×associate-/r*
31×associate-/r/
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 484
Calls
3 calls:
113.0ms
(- y (/ (/ x z) (/ 1 (- y 1))))
12.0ms
(/ 1 (- y 1))
31.0ms
(/ (/ x z) (/ 1 (- y 1)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- y (/ (/ x z) (/ 1 (- y 1))))
14.0ms
(/ 1 (- y 1))
48.0ms
(/ (/ x z) (/ 1 (- y 1)))

simplify2.1s

Counts
493 → 493
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
069510749
119068356
241407720
done50017720

prune516.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample489.0ms

Algorithm
intervals
Results
225.0ms10151×body80valid