Details

Time bar (total: 12.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms330×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1147
2236
3286
done286

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
3.4b
(* x (+ 1.0 (* y y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×fma-def associate-*r* associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
2.0ms
(+ 1.0 (* y y))
7.0ms
(* x (+ 1.0 (* y y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ 1.0 (* y y))
55.0ms
(* x (+ 1.0 (* y y)))

simplify2.0s

Counts
46 → 46
Iterations

Useful iterations: 3 (333.0ms)

IterNodesCost
063399
1177386
2765299
33144298
done5001298

prune107.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (pow y 2)))
8.7b
(* x (pow y 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
1×+-commutative pow-to-exp fma-def flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
2 → 44
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (pow y 2)))
6.0ms
(* x (pow y 2))

series90.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* x (pow y 2)))
31.0ms
(* x (pow y 2))

simplify3.3s

Counts
50 → 50
Iterations

Useful iterations: 3 (419.0ms)

IterNodesCost
080471
1201398
2786337
34085333
done5000333

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x y) y))
6.0ms
(* (* x y) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* x 1.0) (* (* x y) y))
28.0ms
(* (* x y) y)

simplify3.9s

Counts
40 → 40
Iterations

Useful iterations: 3 (457.0ms)

IterNodesCost
064391
1187352
2858296
34169275
done5001275

prune80.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
8.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))

series392.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
95.0ms
(cbrt (* (* x y) y))
94.0ms
(cbrt (* (* x y) y))
91.0ms
(cbrt (* (* x y) y))

simplify1.4s

Counts
78 → 78
Iterations

Useful iterations: done (1.4s)

IterNodesCost
090916
1211827
2649732
32486634
done5001629

prune212.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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
079
1119
done119

end0.0ms

sample375.0ms

Algorithm
intervals
Results
202.0ms10662×body80valid