Details

Time bar (total: 14.0s)

sample27.0ms

Algorithm
intervals
Results
13.0ms347×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize9.0ms

Local error

Found 1 expressions with local error:

4.0b
(* x (+ 1.0 (* y y)))

rewrite29.0ms

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 expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
28.0ms
(* x (+ 1.0 (* y y)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* x (+ 1.0 (* y y)))

simplify1.8s

Counts
27 → 27
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
052263
1147256
2478199
31717199
done5000199

prune81.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* y y) x))
10.3b
(* (* y y) x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-rgt-out fma-def flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
13.0ms
(+ (* 1.0 x) (* (* y y) x))
31.0ms
(* (* y y) x)

series95.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* 1.0 x) (* (* y y) x))
27.0ms
(* (* y y) x)

simplify2.9s

Counts
42 → 42
Iterations

Useful iterations: 3 (942.0ms)

IterNodesCost
065404
1180345
2666291
32473287
done5001287

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
9.0ms
(+ (* 1.0 x) (* y (* x y)))
16.0ms
(* y (* x y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* 1.0 x) (* y (* x y)))
19.0ms
(* y (* x y))

simplify2.2s

Counts
40 → 40
Iterations

Useful iterations: done (2.2s)

IterNodesCost
061388
1172351
2561299
31917279
done5000275

prune99.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
17.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt y) (cbrt y))
263.0ms
(cbrt y)
278.0ms
(cbrt y)
258.0ms
(cbrt y)

simplify4.3s

Counts
93 → 93
Iterations

Useful iterations: done (4.3s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune299.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

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

sample683.0ms

Algorithm
intervals
Results
441.0ms10632×body80valid