Details

Time bar (total: 13.0s)

sample20.0ms

Algorithm
intervals
Results
10.0ms321×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1119
2189
3289
4379
5469
6649
7989
81619
93489
108879
1138949
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
7.7b
(/ (+ x (* y (- z x))) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
times-frac
add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
associate-*l* associate-/r* associate-/l*
flip3-+ associate-*r/ flip-+ associate-/l/
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:
3.0ms
(+ x (* y (- z x)))
9.0ms
(* y (- z x))
8.0ms
(/ (+ x (* y (- z x))) z)

series112.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (* y (- z x)))
39.0ms
(* y (- z x))
44.0ms
(/ (+ x (* y (- z x))) z)

simplify1.9s

Counts
79 → 79
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0117903
1269858
2940794
33734794
done5000794

prune156.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
pow1 times-frac associate-/r*
cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
3 → 52
Calls
3 calls:
8.0ms
(+ (/ x z) y)
65.0ms
(- (+ (/ x z) y) (/ (* x y) z))
3.0ms
(/ (* x y) z)

series75.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (/ x z) y)
38.0ms
(- (+ (/ x z) y) (/ (* x y) z))
20.0ms
(/ (* x y) z)

simplify1.8s

Counts
61 → 61
Iterations

Useful iterations: 3 (447.0ms)

IterNodesCost
0100728
1269683
21010643
34813609
done5000609

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ (- y) 1) (/ x z)) y)
2.0b
(* (+ (- y) 1) (/ x z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*l*
pow1 add-log-exp
flip3-+ flip-+
frac-times associate-*l/ prod-exp cbrt-unprod distribute-lft-out unswap-sqr
cbrt-undiv +-commutative distribute-rgt-neg-in associate-*r/ div-exp pow-prod-down sum-log *-commutative div-inv
Counts
2 → 49
Calls
2 calls:
12.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
26.0ms
(* (+ (- y) 1) (/ x z))

series57.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
30.0ms
(* (+ (- y) 1) (/ x z))

simplify906.0ms

Counts
55 → 55
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
0111725
1312671
21348564
done5000557

prune127.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ x (/ z y)))
5.7b
(/ x (/ z y))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
52×*-un-lft-identity
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
add-exp-log add-cbrt-cube
div-inv
pow1 cbrt-undiv div-exp associate-/l* difference-of-squares
flip3-+ diff-log sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
+-commutative sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r/ flip--
Counts
3 → 103
Calls
3 calls:
10.0ms
(+ (/ x z) y)
78.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
5.0ms
(/ x (/ z y))

series70.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (/ x z) y)
29.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
22.0ms
(/ x (/ z y))

simplify606.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
02061484
14961379
218341329
done50011329

prune243.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b 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
0913
11213
done1213

end0.0ms

sample430.0ms

Algorithm
intervals
Results
231.0ms10093×body80valid