Details

Time bar (total: 14.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms316×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1159
2289
3559
4849
51099
61269
71439
81949
92969
104169
114649
125239
135759
145909
156269
167139
179269
1811479
1914309
2016079
2116119
done16119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
2.0ms
(+ x (* (* (- y x) 6.0) z))
10.0ms
(* (- y x) 6.0)
18.0ms
(* (* (- y x) 6.0) z)

series110.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ x (* (* (- y x) 6.0) z))
31.0ms
(* (- y x) 6.0)
36.0ms
(* (* (- y x) 6.0) z)

simplify2.3s

Counts
62 → 62
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
098644
1246603
2910521
34393521
done5001521

prune123.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.3b
(* (- y x) (* 6.0 z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) (* 6.0 z)))
13.0ms
(* (- y x) (* 6.0 z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (* (- y x) (* 6.0 z)))
36.0ms
(* (- y x) (* 6.0 z))

simplify1.2s

Counts
39 → 39
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
075468
1207438
2660376
32895376
done5000376

prune78.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b
(* (- y x) (sqrt 6.0))
0.6b
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×associate-*r*
12×*-un-lft-identity associate-*l/
10×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
7×associate-*l* sqrt-prod
6×add-log-exp
3×flip3-- *-commutative flip--
2×unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 83
Calls
4 calls:
2.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
66.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
11.0ms
(* (- y x) (sqrt 6.0))
19.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series468.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
149.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
61.0ms
(* (- y x) (sqrt 6.0))
94.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify1.0s

Counts
95 → 95
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01301313
1336923
21304791
done5002781

prune166.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
0.2b
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
0.3b
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
0.6b
(* (- y x) (sqrt 6.0))

rewrite523.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1 add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
17×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
8×associate-*l*
7×sqrt-prod
6×cbrt-prod
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 117
Calls
4 calls:
29.0ms
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
375.0ms
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
102.0ms
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
11.0ms
(* (- y x) (sqrt 6.0))

series649.0ms

Counts
4 → 12
Calls
4 calls:
345.0ms
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
148.0ms
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
94.0ms
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
61.0ms
(* (- y x) (sqrt 6.0))

simplify750.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (196.0ms)

IterNodesCost
01672561
14512320
218261632
done50001632

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample438.0ms

Algorithm
intervals
Results
233.0ms10125×body80valid