Details

Time bar (total: 15.9s)

sample23.0ms

Algorithm
intervals
Results
12.0ms320×body80valid

simplify4.2s

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: 10.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (- z x)))
9.5b
(/ (+ x (* y (- z x))) z)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log associate-+r+ add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 distribute-rgt-in sub-neg distribute-lft-in flip3-+ flip-+ associate-/l/
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
9.0ms
(+ x (* y (- z x)))
37.0ms
(/ (+ x (* y (- z x))) z)

series99.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* y (- z x)))
61.0ms
(/ (+ x (* y (- z x))) z)

simplify1.3s

Counts
50 → 50
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
081686
1190664
2529608
32033608
done5000608

prune131.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
5.6b
(/ (* x y) z)

rewrite159.0ms

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:
15.0ms
(+ (/ x z) y)
133.0ms
(- (+ (/ x z) y) (/ (* x y) z))
10.0ms
(/ (* x y) z)

series81.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (/ x z) y)
36.0ms
(- (+ (/ x z) y) (/ (* x y) z))
22.0ms
(/ (* x y) z)

simplify2.5s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0100728
1251683
2901643
34445609
done5002609

prune120.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ y (* (+ (- y) 1) (/ x z)))
3.4b
(* (+ (- y) 1) (/ x z))

rewrite60.0ms

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:
9.0ms
(+ y (* (+ (- y) 1) (/ x z)))
49.0ms
(* (+ (- y) 1) (/ x z))

series63.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ y (* (+ (- y) 1) (/ x z)))
33.0ms
(* (+ (- y) 1) (/ x z))

simplify4.0s

Counts
55 → 55
Iterations

Useful iterations: 3 (2.5s)

IterNodesCost
0111725
1302664
21117558
34488545
done5001545

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* x (/ y z)))
6.0b
(* x (/ y z))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac add-log-exp
add-exp-log add-cbrt-cube
pow1
associate-*r/ associate-*l*
flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv distribute-lft-out
Counts
3 → 60
Calls
3 calls:
24.0ms
(+ (/ x z) y)
120.0ms
(- (+ (/ x z) y) (* x (/ y z)))
20.0ms
(* x (/ y z))

series110.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (/ x z) y)
49.0ms
(- (+ (/ x z) y) (* x (/ y z)))
32.0ms
(* x (/ y z))

simplify2.5s

Counts
69 → 69
Iterations

Useful iterations: 3 (967.0ms)

IterNodesCost
0120771
1305716
2976676
33866644
done5000644

prune170.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes1.0ms