Details

Time bar (total: 7.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms330×body80valid

simplify745.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2177
3267
4357
5417
6507
7687
8987
91257
101547
111687
121867
131997
142157
152507
163157
174137
185037
196077
206767
216807
done6807

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r*
associate-*l/
+-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 → 33
Calls
2 calls:
2.0ms
(+ x (* (- y x) z))
10.0ms
(* (- y x) z)

series67.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (* (- y x) z))
35.0ms
(* (- y x) z)

simplify1.5s

Counts
39 → 39
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
068357
1164337
2484303
31978303
done5000303

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
0.6b
(cbrt (+ x (* (- y x) z)))
0.6b
(cbrt (+ x (* (- y x) z)))
0.6b
(cbrt (+ x (* (- y x) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
15.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
2.0ms
(cbrt (+ x (* (- y x) z)))
2.0ms
(cbrt (+ x (* (- y x) z)))
2.0ms
(cbrt (+ x (* (- y x) z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
208.0ms
(cbrt (+ x (* (- y x) z)))
438.0ms
(cbrt (+ x (* (- y x) z)))
211.0ms
(cbrt (+ x (* (- y x) z)))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: 3 (477.0ms)

IterNodesCost
01422316
13282135
28481995
326041666
done50001666

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b
(* (- y x) (sqrt z))
0.2b
(* (* (- y x) (sqrt z)) (sqrt z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt
sqrt-prod
associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- unswap-sqr
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
2.0ms
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
11.0ms
(* (- y x) (sqrt z))
19.0ms
(* (* (- y x) (sqrt z)) (sqrt z))

series146.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
53.0ms
(* (- y x) (sqrt z))
41.0ms
(* (* (- y x) (sqrt z)) (sqrt z))

simplify2.0s

Counts
69 → 69
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0110838
1282629
2899557
33405549
done5001545

prune144.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample428.0ms

Algorithm
intervals
Results
210.0ms10123×body80valid