Details

Time bar (total: 11.4s)

sample31.0ms

Algorithm
intervals
Results
12.0ms322×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1159
2299
3659
41499
52329
63279
73679
84169
97569
1032239
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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)

rewrite102.0ms

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) 6.0) z))
37.0ms
(* (- y x) 6.0)
53.0ms
(* (* (- y x) 6.0) z)

series135.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (* (* (- y x) 6.0) z))
32.0ms
(* (- y x) 6.0)
51.0ms
(* (* (- y x) 6.0) z)

simplify952.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
098644
1254603
21302521
done5000521

prune161.0ms

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))

rewrite58.0ms

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:
13.0ms
(+ x (* (- y x) (* z 6.0)))
44.0ms
(* (- y x) (* z 6.0))

series121.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ x (* (- y x) (* z 6.0)))
47.0ms
(* (- y x) (* z 6.0))

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
075468
1206438
2722376
33937376
done5000376

prune99.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:
22.0ms
(* (- y x) z)
9.0ms
(+ x (* (* (- y x) z) 6.0))
42.0ms
(* (* (- y x) z) 6.0)

series133.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y x) z)
56.0ms
(+ x (* (* (- y x) z) 6.0))
42.0ms
(* (* (- y x) z) 6.0)

simplify968.0ms

Counts
62 → 62
Iterations

Useful iterations: done (966.0ms)

IterNodesCost
096638
1249603
21276523
done5000517

prune123.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

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))

rewrite86.0ms

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:
66.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
5.0ms
(cbrt (- y x))

series749.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
222.0ms
(cbrt (- y x))
182.0ms
(cbrt (- y x))
173.0ms
(cbrt (- y x))

simplify850.0ms

Counts
113 → 113
Iterations

Useful iterations: done (846.0ms)

IterNodesCost
01311384
12861281
29361223
done50001177

prune403.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.2b 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
742.0ms10208×body80valid