Details

Time bar (total: 4.9s)

sample28.0ms

Algorithm
intervals
Results
9.0ms307×body80valid

simplify670.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1119
2189
3289
4379
5469
6649
7989
81619
92829
105249
119359
1227479
done50009

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
11.8b
(/ (+ x (* y (- z x))) z)

rewrite19.0ms

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:
8.0ms
(* y (- z x))
4.0ms
(+ x (* y (- z x)))
6.0ms
(/ (+ x (* y (- z x))) z)

series33.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* y (- z x))
14.0ms
(+ x (* y (- z x)))
11.0ms
(/ (+ x (* y (- z x))) z)

simplify816.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0116903
1269852
2829794
32851794
done5001794

prune97.0ms

Filtered
54 candidates to 79 candidates (-46.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New74579
Fresh000
Picked101
Done000
Total75580

Merged error: 4.8b

Counts
80 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
6.5b
(/ (* x y) z)

rewrite24.0ms

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:
7.0ms
(+ (/ x z) y)
11.0ms
(- (+ (/ x z) y) (/ (* x y) z))
5.0ms
(/ (* x y) z)

series19.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (/ x z) y)
8.0ms
(- (+ (/ x z) y) (/ (* x y) z))
5.0ms
(/ (* x y) z)

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: 3 (378.0ms)

IterNodesCost
0100728
1269683
2946643
34663609
done5000609

prune73.0ms

Filtered
42 candidates to 61 candidates (-45.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh314
Picked101
Done000
Total63366

Merged error: 0b

Counts
66 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ y (* (+ (neg y) 1) (/ x z)))
2.7b
(* (+ (neg y) 1) (/ x z))

rewrite17.0ms

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:
4.0ms
(+ y (* (+ (neg y) 1) (/ x z)))
12.0ms
(* (+ (neg y) 1) (/ x z))

series19.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ y (* (+ (neg y) 1) (/ x z)))
10.0ms
(* (+ (neg y) 1) (/ x z))

simplify415.0ms

Counts
55 → 55
Iterations

Useful iterations: done (414.0ms)

IterNodesCost
0111725
1313664
21191558
done5000557

prune65.0ms

Filtered
43 candidates to 55 candidates (-27.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh022
Picked011
Done000
Total55358

Merged error: 0b

Counts
58 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ x (/ z y)))
7.1b
(/ x (/ z y))

rewrite44.0ms

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:
7.0ms
(+ (/ x z) y)
25.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
6.0ms
(/ x (/ z y))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (/ x z) y)
9.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
6.0ms
(/ x (/ z y))

simplify462.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
02061484
14961379
216621329
done50001329

prune93.0ms

Filtered
85 candidates to 112 candidates (-31.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done011
Total1123115

Merged error: 0b

Counts
115 → 3

regimes133.0ms

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: 0 (0.0ms)

IterNodesCost
0910
11410
done1410

end0.0ms

sample713.0ms

Algorithm
intervals
Results
313.0ms10031×body80valid

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