Details

Time bar (total: 19.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms317×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1159
2299
3659
41289
51589
61679
71849
82339
93009
103269
113749
124489
134669
144819
154979
165839
176429
188129
198809
209959
219999
done9999

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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)

rewrite104.0ms

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:
13.0ms
(+ x (* (* (- y x) 6.0) z))
42.0ms
(* (- y x) 6.0)
46.0ms
(* (* (- y x) 6.0) z)

series178.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ x (* (* (- y x) 6.0) z))
50.0ms
(* (- y x) 6.0)
56.0ms
(* (* (- y x) 6.0) z)

simplify3.8s

Counts
62 → 62
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
098644
1245603
2914521
34600521
done5000521

prune122.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:
8.0ms
(+ x (* (- y x) (* z 6.0)))
33.0ms
(* (- y x) (* z 6.0))

series97.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (* (- y x) (* z 6.0)))
47.0ms
(* (- y x) (* z 6.0))

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
075468
1206438
2690376
33183376
done5000376

prune96.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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:
10.0ms
(+ x (* (* (- y x) z) 6.0))
34.0ms
(* (- y x) z)
57.0ms
(* (* (- y x) z) 6.0)

series145.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ x (* (* (- y x) z) 6.0))
40.0ms
(* (- y x) z)
49.0ms
(* (* (- y x) z) 6.0)

simplify3.0s

Counts
62 → 62
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
096638
1241603
2848517
33920517
done5000517

prune141.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
flip3-- pow1/3 flip-- distribute-lft-out--
associate-*r* associate-*l*
difference-of-squares
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
60.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))

series808.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
213.0ms
(cbrt (- y x))
205.0ms
(cbrt (- y x))
213.0ms
(cbrt (- y x))

simplify2.6s

Counts
113 → 113
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01311384
12621281
26171223
313401128
435251080
done50001032

prune383.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample1.2s

Algorithm
intervals
Results
774.0ms10132×body80valid