Details

Time bar (total: 10.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms345×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3397
4477
done477

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
26.0ms
(* x (- 1.0 (* x y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (- 1.0 (* x y)))

simplify3.1s

Counts
27 → 27
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
051273
1133270
2569244
34576238
done5001238

prune58.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
18.0ms
(* (- 1.0 (* x y)) x)

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* (- 1.0 (* x y)) x)

simplify476.0ms

Counts
23 → 23
Iterations

Useful iterations: done (476.0ms)

IterNodesCost
047237
1118234
2588208
done5000200

prune55.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* x y)) x))
0.2b
(* (- (* x y)) x)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
14.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
23.0ms
(* (- (* x y)) x)

series74.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
32.0ms
(* (- (* x y)) x)

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065433
1188376
21283337
done5000336

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
8.2b
(cbrt (- (* x y)))
8.2b
(cbrt (- (* x y)))
8.2b
(cbrt (- (* x y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
37.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
3.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))
3.0ms
(cbrt (- (* x y)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
102.0ms
(cbrt (- (* x y)))
137.0ms
(cbrt (- (* x y)))
144.0ms
(cbrt (- (* x y)))

simplify3.2s

Counts
103 → 103
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01101198
12511102
28661020
34312925
done5000904

prune386.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes50.0ms

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

sample957.0ms

Algorithm
intervals
Results
481.0ms10623×body80valid