Details

Time bar (total: 7.3s)

sample15.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify56.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2317
3617
4867
5927
6967
done967

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
14.0ms
(* (* x y) (- 1.0 y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* x y) (- 1.0 y))

simplify586.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
0110883
1288712
21125552
done5000552

prune63.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 1.0 y))
0.1b
(cbrt (- 1.0 y))
0.1b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite33.0ms

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
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
23.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))
104.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify1.8s

Counts
121 → 121
Iterations

Useful iterations: 3 (623.0ms)

IterNodesCost
01521619
13301463
29761391
338371271
done50011271

prune330.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
12.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
137.0ms
(cbrt (* (* x y) (- 1.0 y)))
130.0ms
(cbrt (* (* x y) (- 1.0 y)))
138.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify705.0ms

Counts
92 → 92
Iterations

Useful iterations: done (702.0ms)

IterNodesCost
01712079
14201907
213011747
done50001549

prune269.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b
(expm1 (log1p (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-div associate-*r/
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod flip3-- pow1/3 flip--
1×expm1-log1p expm1-udef
Counts
4 → 50
Calls
4 calls:
0.0ms
(expm1 (log1p (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))

series607.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(expm1 (log1p (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))))
140.0ms
(cbrt (* (* x y) (- 1.0 y)))
139.0ms
(cbrt (* (* x y) (- 1.0 y)))
132.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify1.1s

Counts
62 → 62
Iterations

Useful iterations: 3 (363.0ms)

IterNodesCost
01441482
13651389
210051243
336511006
done50001006

prune236.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample365.0ms

Algorithm
intervals
Results
201.0ms10754×body80valid