Details

Time bar (total: 12.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms330×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1159
2289
3559
4849
51099
61269
71439
81949
92969
104169
114649
125299
135919
146069
156429
167319
179519
1811839
1914739
2016609
2116649
done16649

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
add-cube-cbrt associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip--
+-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))
9.0ms
(* (- y x) 6.0)
14.0ms
(* (* (- 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 (115.0ms)

IterNodesCost
098644
1246603
2910521
34394521
done5001521

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*l*
add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*l/
+-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))

series85.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (* (- y x) (* 6.0 z)))
38.0ms
(* (- y x) (* 6.0 z))

simplify1.6s

Counts
39 → 39
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
075468
1207438
2660376
32895376
done5000376

prune77.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
0.5b
(cbrt (* (- y x) 6.0))
0.5b
(cbrt (* (- y x) 6.0))
0.5b
(cbrt (* (- y x) 6.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
associate-*r/ pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
3.0ms
(cbrt (* (- y x) 6.0))
3.0ms
(cbrt (* (- y x) 6.0))
4.0ms
(cbrt (* (- y x) 6.0))

series909.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
231.0ms
(cbrt (* (- y x) 6.0))
217.0ms
(cbrt (* (- y x) 6.0))
218.0ms
(cbrt (* (- y x) 6.0))

simplify1.4s

Counts
84 → 84
Iterations

Useful iterations: 3 (446.0ms)

IterNodesCost
01271270
12811172
28171086
32775983
done5001983

prune265.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (- y x) 6.0))
0.5b
(cbrt (* (- y x) 6.0))
0.6b
(cbrt (- y x))
1.0b
(cbrt 6.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt cbrt-div
pow1 add-exp-log pow1/3 associate-*l/ add-cbrt-cube add-log-exp
flip3-- flip--
distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
3.0ms
(cbrt (* (- y x) 6.0))
3.0ms
(cbrt (* (- y x) 6.0))
2.0ms
(cbrt (- y x))
1.0ms
(cbrt 6.0)

series591.0ms

Counts
4 → 10
Calls
4 calls:
221.0ms
(cbrt (* (- y x) 6.0))
217.0ms
(cbrt (* (- y x) 6.0))
153.0ms
(cbrt (- y x))
0.0ms
(cbrt 6.0)

simplify1.9s

Counts
58 → 58
Iterations

Useful iterations: 4 (926.0ms)

IterNodesCost
0107604
1213593
2443557
31091518
43676467
done5000467

prune191.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes103.0ms

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

sample450.0ms

Algorithm
intervals
Results
238.0ms10140×body80valid