Details

Time bar (total: 12.3s)

sample31.0ms

Algorithm
intervals
Results
13.0ms319×body80valid

simplify2.8s

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: 8.3b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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:
7.0ms
(+ x (* y (- z x)))
21.0ms
(* y (- z x))
41.0ms
(/ (+ x (* y (- z x))) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ x (* y (- z x)))
50.0ms
(* y (- z x))
58.0ms
(/ (+ x (* y (- z x))) z)

simplify613.0ms

Counts
79 → 79
Iterations

Useful iterations: done (610.0ms)

IterNodesCost
0117903
1278858
21008796
done5000794

prune195.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
4.3b
(/ (* x y) z)

rewrite210.0ms

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:
26.0ms
(+ (/ x z) y)
165.0ms
(- (+ (/ x z) y) (/ (* x y) z))
16.0ms
(/ (* x y) z)

series105.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ x z) y)
46.0ms
(- (+ (/ x z) y) (/ (* x y) z))
35.0ms
(/ (* x y) z)

simplify841.0ms

Counts
61 → 61
Iterations

Useful iterations: done (838.0ms)

IterNodesCost
0100728
1264683
21221643
done5001609

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

2.5b
(* (+ (- y) 1) (/ x z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*l*
3×pow1
2×frac-times flip3-+ associate-*l/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-neg-in associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
68.0ms
(* (+ (- y) 1) (/ x z))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (+ (- y) 1) (/ x z))

simplify1.5s

Counts
41 → 41
Iterations

Useful iterations: done (1.5s)

IterNodesCost
090493
1265462
21855375
done5000371

prune132.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (- y) 1))
0.2b
(cbrt (+ (- y) 1))
0.7b
(* (cbrt (- 1 y)) (/ x z))
1.9b
(* (* (cbrt (+ (- y) 1)) (cbrt (+ (- y) 1))) (* (cbrt (- 1 y)) (/ x z)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
40×associate-*l/
38×flip3-+ flip-+
30×add-exp-log
28×add-sqr-sqrt
27×associate-*r/
26×*-un-lft-identity
20×flip3-- flip--
18×pow1 cbrt-prod add-cbrt-cube
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*r*
11×times-frac
10×associate-*l*
9×pow-prod-down
4×distribute-lft-out add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×distribute-rgt-neg-in pow1/3 *-commutative difference-of-squares
1×div-inv distribute-lft-out--
Counts
4 → 153
Calls
4 calls:
12.0ms
(cbrt (+ (- y) 1))
11.0ms
(cbrt (+ (- y) 1))
38.0ms
(* (cbrt (- 1 y)) (/ x z))
137.0ms
(* (* (cbrt (+ (- y) 1)) (cbrt (+ (- y) 1))) (* (cbrt (- 1 y)) (/ x z)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (+ (- y) 1))
49.0ms
(cbrt (+ (- y) 1))
147.0ms
(* (cbrt (- 1 y)) (/ x z))
36.0ms
(* (* (cbrt (+ (- y) 1)) (cbrt (+ (- y) 1))) (* (cbrt (- 1 y)) (/ x z)))

simplify2.6s

Counts
165 → 165
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03124255
19683576
245333069
done50013060

prune743.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
11610
21710
done1710

end0.0ms

sample1.3s

Algorithm
intervals
Results
465.0ms10043×body80valid