Details

Time bar (total: 9.3s)

sample20.0ms

Algorithm
intervals
Results
10.0ms328×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1119
2189
3279
4369
5459
6639
7979
81579
92999
107879
1127649
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
10.0b
(/ (+ x (* y (- z x))) z)

rewrite23.0ms

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
(* y (- z x))
3.0ms
(+ x (* y (- z x)))
8.0ms
(/ (+ x (* y (- z x))) z)

series115.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* y (- z x))
30.0ms
(+ x (* y (- z x)))
48.0ms
(/ (+ x (* y (- z x))) z)

simplify1.8s

Counts
79 → 79
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0117903
1258858
2813794
33350794
done5001794

prune164.0ms

Pruning

5 alts after pruning (5 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))
6.7b
(/ (* x y) z)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-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:
9.0ms
(+ (/ x z) y)
73.0ms
(- (+ (/ x z) y) (/ (* x y) z))
5.0ms
(/ (* x y) z)

series67.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (/ x z) y)
30.0ms
(- (+ (/ x z) y) (/ (* x y) z))
20.0ms
(/ (* x y) z)

simplify1.6s

Counts
61 → 61
Iterations

Useful iterations: 3 (500.0ms)

IterNodesCost
0100728
1253683
2876643
34359609
done5001609

prune122.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ (- y) 1) (/ x z)) y)
5.3b
(* (+ (- y) 1) (/ x z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×flip3-+ flip-+
2×frac-times associate-*l/ prod-exp cbrt-unprod distribute-lft-out unswap-sqr
1×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:
10.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
30.0ms
(* (+ (- y) 1) (/ x z))

series56.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
30.0ms
(* (+ (- y) 1) (/ x z))

simplify852.0ms

Counts
55 → 55
Iterations

Useful iterations: done (851.0ms)

IterNodesCost
0111725
1305671
21156564
done5000545

prune128.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x (- 1 y)) (/ 1 z)) y)
0.0b
(* x (- 1 y))
2.6b
(* (* x (- 1 y)) (/ 1 z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×associate-*r*
17×add-sqr-sqrt add-cbrt-cube
15×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative difference-of-squares
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- unswap-sqr
Counts
3 → 80
Calls
3 calls:
16.0ms
(+ (* (* x (- 1 y)) (/ 1 z)) y)
11.0ms
(* x (- 1 y))
19.0ms
(* (* x (- 1 y)) (/ 1 z))

series99.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* (* x (- 1 y)) (/ 1 z)) y)
33.0ms
(* x (- 1 y))
40.0ms
(* (* x (- 1 y)) (/ 1 z))

simplify834.0ms

Counts
89 → 89
Iterations

Useful iterations: done (832.0ms)

IterNodesCost
01491050
1412854
21314742
done5000736

prune167.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes62.0ms

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: 1 (1.0ms)

IterNodesCost
01012
11610
done1610

end0.0ms

sample453.0ms

Algorithm
intervals
Results
248.0ms10090×body80valid