Details

Time bar (total: 10.9s)

sample30.0ms

Algorithm
intervals
Results
13.0ms324×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
2189
3329
4529
5719
6899
71239
83099
99869
1044199
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
9.2b
(/ (+ x (* y (- z x))) z)

rewrite58.0ms

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:
24.0ms
(* y (- z x))
7.0ms
(+ x (* y (- z x)))
24.0ms
(/ (+ x (* y (- z x))) z)

series124.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* y (- z x))
37.0ms
(+ x (* y (- z x)))
49.0ms
(/ (+ x (* y (- z x))) z)

simplify702.0ms

Counts
79 → 79
Iterations

Useful iterations: done (699.0ms)

IterNodesCost
0117903
1278858
2995796
done5000794

prune251.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
7.0b
(/ (* x y) z)

rewrite181.0ms

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:
23.0ms
(+ (/ x z) y)
141.0ms
(- (+ (/ x z) y) (/ (* x y) z))
15.0ms
(/ (* x y) z)

series99.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (/ x z) y)
47.0ms
(- (+ (/ x z) y) (/ (* x y) z))
25.0ms
(/ (* x y) z)

simplify747.0ms

Counts
61 → 61
Iterations

Useful iterations: done (745.0ms)

IterNodesCost
0100728
1264683
21221643
done5001609

prune243.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ (- y) 1) (/ x z)) y)
3.0b
(* (+ (- y) 1) (/ x z))

rewrite82.0ms

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:
25.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
55.0ms
(* (+ (- y) 1) (/ x z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* (+ (- y) 1) (/ x z)) y)
40.0ms
(* (+ (- y) 1) (/ x z))

simplify1.6s

Counts
55 → 55
Iterations

Useful iterations: 2 (370.0ms)

IterNodesCost
0111725
1327675
22060564
done5000564

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x z)) (cbrt (/ x z)))
9.6b
(cbrt (/ x z))
9.6b
(cbrt (/ x z))
9.6b
(cbrt (/ x z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
44.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
4.0ms
(cbrt (/ x z))
4.0ms
(cbrt (/ x z))
4.0ms
(cbrt (/ x z))

series334.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
76.0ms
(cbrt (/ x z))
74.0ms
(cbrt (/ x z))
70.0ms
(cbrt (/ x z))

simplify1.1s

Counts
156 → 156
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01611876
12831747
212181675
done50001646

prune649.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11410
done1410

end0.0ms

sample855.0ms

Algorithm
intervals
Results
374.0ms10089×body80valid