Details

Time bar (total: 13.0s)

sample28.0ms

Algorithm
intervals
Results
13.0ms347×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2207
3227
done227

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize7.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (+ 1.0 (* y y)))

rewrite17.0ms

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-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
16.0ms
(* x (+ 1.0 (* y y)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* x (+ 1.0 (* y y)))

simplify2.0s

Counts
25 → 25
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
050247
1143240
2451206
31576206
done5000206

prune62.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b
(* x (* y y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
21.0ms
(* x (* y y))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* x (* y y))

simplify3.2s

Counts
22 → 22
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
034162
178159
2209129
3468129
4677129
51860129
done5001129

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x y) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
30.0ms
(* (* x y) y)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (* x y) y)

simplify4.7s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
036157
193152
2338122
3693122
4989121
52760121
done5000121

prune33.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* y y))
3.3b
(* (- (* 1.0 1.0) (pow y 4)) x)
9.0b
(/ (* (- (* 1.0 1.0) (pow y 4)) x) (- 1.0 (* y y)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
6×associate-*l* difference-of-squares
5×pow1 add-log-exp
4×flip3-- times-frac associate-*l/ associate-/r* flip--
3×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×sub-neg unpow-prod-down frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr sqr-pow
Counts
3 → 63
Calls
3 calls:
5.0ms
(- 1.0 (* y y))
44.0ms
(* (- (* 1.0 1.0) (pow y 4)) x)
27.0ms
(/ (* (- (* 1.0 1.0) (pow y 4)) x) (- 1.0 (* y y)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- 1.0 (* y y))
43.0ms
(* (- (* 1.0 1.0) (pow y 4)) x)
89.0ms
(/ (* (- (* 1.0 1.0) (pow y 4)) x) (- 1.0 (* y y)))

simplify1.1s

Counts
72 → 72
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01281038
1339997
21419847
done5000828

prune204.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
done119

end0.0ms

sample1.1s

Algorithm
intervals
Results
676.0ms10641×body80valid