Details

Time bar (total: 13.0s)

sample41.0ms

Algorithm
intervals
Results
17.0ms317×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4539
5649
6769
7979
81379
93789
1017479
done50009

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z (- 1.0 y)))
0.0b
(* z (- 1.0 y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
17.0ms
(+ (* x y) (* z (- 1.0 y)))
31.0ms
(* z (- 1.0 y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* x y) (* z (- 1.0 y)))
38.0ms
(* z (- 1.0 y))

simplify2.5s

Counts
47 → 47
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
077459
1206437
2711397
34034397
done5000397

prune138.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 z) (* x y))
0.0b
(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative distribute-lft-neg-out add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ unsub-neg
Counts
2 → 26
Calls
2 calls:
8.0ms
(+ (* 1.0 z) (* x y))
40.0ms
(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* 1.0 z) (* x y))
42.0ms
(+ (+ (* 1.0 z) (* x y)) (* (- y) z))

simplify3.4s

Counts
32 → 32
Iterations

Useful iterations: 3 (915.0ms)

IterNodesCost
053453
1184413
2817358
34995345
done5000345

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (* (* x y) (- (* x y) (* 1.0 z))) (* (* 1.0 z) (* 1.0 z)))
1.0b
(+ (pow (* 1.0 z) 3) (pow (* x y) 3))
3.4b
(* (* x y) (- (* x y) (* 1.0 z)))
36.6b
(/ (+ (pow (* 1.0 z) 3) (pow (* x y) 3)) (+ (* (* x y) (- (* x y) (* 1.0 z))) (* (* 1.0 z) (* 1.0 z))))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
56.0ms
(+ (* (* x y) (- (* x y) (* 1.0 z))) (* (* 1.0 z) (* 1.0 z)))
24.0ms
(+ (pow (* 1.0 z) 3) (pow (* x y) 3))
55.0ms
(* (* x y) (- (* x y) (* 1.0 z)))
118.0ms
(/ (+ (pow (* 1.0 z) 3) (pow (* x y) 3)) (+ (* (* x y) (- (* x y) (* 1.0 z))) (* (* 1.0 z) (* 1.0 z))))

series623.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ (* (* x y) (- (* x y) (* 1.0 z))) (* (* 1.0 z) (* 1.0 z)))
251.0ms
(+ (pow (* 1.0 z) 3) (pow (* x y) 3))
73.0ms
(* (* x y) (- (* x y) (* 1.0 z)))
186.0ms
(/ (+ (pow (* 1.0 z) 3) (pow (* x y) 3)) (+ (* (* x y) (- (* x y) (* 1.0 z))) (* (* 1.0 z) (* 1.0 z))))

simplify2.7s

Counts
103 → 103
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01643124
14562982
228922749
done50012747

prune571.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11712
22112
32212
done2212

end0.0ms

sample892.0ms

Algorithm
intervals
Results
411.0ms10094×body80valid