Details

Time bar (total: 11.2s)

sample31.0ms

Algorithm
intervals
Results
13.0ms341×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
8.4b
(/ (+ x (* y (- z x))) z)

rewrite82.0ms

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:
8.0ms
(+ x (* y (- z x)))
30.0ms
(* y (- z x))
42.0ms
(/ (+ x (* y (- z x))) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ x (* y (- z x)))
43.0ms
(* y (- z x))
53.0ms
(/ (+ x (* y (- z x))) z)

simplify717.0ms

Counts
79 → 79
Iterations

Useful iterations: done (714.0ms)

IterNodesCost
0117903
1278858
21008796
done5000794

prune212.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
7.8b
(/ (* x y) z)

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-exp-log add-cbrt-cube add-log-exp
6×add-sqr-sqrt
4×add-cube-cbrt
3×times-frac associate-/r*
2×pow1 cbrt-undiv diff-log div-exp frac-sub distribute-lft-out--
1×sub-neg flip3-- frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
139.0ms
(- (+ (/ x z) y) (/ (* x y) z))
11.0ms
(/ (* x y) z)

series68.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (+ (/ x z) y) (/ (* x y) z))
23.0ms
(/ (* x y) z)

simplify988.0ms

Counts
46 → 46
Iterations

Useful iterations: done (986.0ms)

IterNodesCost
096599
1255567
21174527
done5000495

prune134.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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:
18.0ms
(+ y (* (+ (- y) 1) (/ x z)))
68.0ms
(* (+ (- y) 1) (/ x z))

series73.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ y (* (+ (- y) 1) (/ x z)))
43.0ms
(* (+ (- y) 1) (/ x z))

simplify1.5s

Counts
55 → 55
Iterations

Useful iterations: 2 (358.0ms)

IterNodesCost
0111725
1328668
22098558
done5000558

prune166.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.0b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
55.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series836.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt z)
258.0ms
(cbrt z)
270.0ms
(cbrt z)
73.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.7s

Counts
104 → 104
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01401213
14521163
23006877
done5000796

prune376.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11410
done1410

end0.0ms

sample900.0ms

Algorithm
intervals
Results
434.0ms10109×body80valid