Details

Time bar (total: 9.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms285×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1983
21683
31883
done1883

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (* x 27.0) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
18.0ms
(* (* x 27.0) y)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (* x 27.0) y)

simplify727.0ms

Counts
23 → 23
Iterations

Useful iterations: done (725.0ms)

IterNodesCost
0423355
11063104
27003064
done50012984

prune125.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 27.0 (* x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
26.0ms
(* 27.0 (* x y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* 27.0 (* x y))

simplify3.5s

Counts
23 → 23
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0373315
1873105
23052865
312632865
done50012865

prune98.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
0.3b
(* (sqrt 27.0) (* x y))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt sqrt-prod
2×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 49
Calls
2 calls:
67.0ms
(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
16.0ms
(* (sqrt 27.0) (* x y))

series164.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (sqrt 27.0) (* (sqrt 27.0) (* x y)))
59.0ms
(* (sqrt 27.0) (* x y))

simplify1.1s

Counts
55 → 55
Iterations

Useful iterations: done (1.1s)

IterNodesCost
06611669
11668786
28618506
done50018186

prune168.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y)))
0.3b
(* (sqrt 27.0) (* x y))
0.3b
(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y))))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-cbrt-cube add-exp-log
24×associate-*l*
21×sqrt-prod
19×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
3 → 84
Calls
3 calls:
61.0ms
(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y)))
29.0ms
(* (sqrt 27.0) (* x y))
152.0ms
(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y))))

series331.0ms

Counts
3 → 9
Calls
3 calls:
186.0ms
(* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y)))
45.0ms
(* (sqrt 27.0) (* x y))
99.0ms
(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* (sqrt 27.0) (* x y))))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
010125021
127020435
2129517555
done500117555

prune305.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1783
done783

end0.0ms

sample496.0ms

Algorithm
intervals
Results
265.0ms9188×body80valid