Details

Time bar (total: 12.8s)

sample13.0ms

Algorithm
intervals
Results
5.0ms345×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1147
2236
3286
done286

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize4.0ms

Local error

Found 1 expressions with local error:

6.1b
(* x (+ 1.0 (* y y)))

rewrite7.0ms

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:
7.0ms
(* x (+ 1.0 (* y y)))

series54.0ms

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

simplify2.1s

Counts
27 → 27
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
052263
1149256
2665199
32897199
done5000199

prune62.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (pow y 2)))
11.2b
(* x (pow y 2))

rewrite9.0ms

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:
2.0ms
(+ (* x 1.0) (* x (pow y 2)))
6.0ms
(* x (pow y 2))

series94.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* x 1.0) (* x (pow y 2)))
32.0ms
(* x (pow y 2))

simplify3.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (442.0ms)

IterNodesCost
080471
1201398
2786337
34085333
done5000333

prune102.0ms

Pruning

7 alts after pruning (6 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))
0.1b
(* (* 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:
62.0ms
(+ (* x 1.0) (* (* x y) y))
28.0ms
(* (* x y) y)

simplify3.8s

Counts
40 → 40
Iterations

Useful iterations: 3 (463.0ms)

IterNodesCost
064391
1187352
2858296
34169275
done5001275

prune79.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

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:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series724.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt y) (cbrt y))
172.0ms
(cbrt y)
178.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (292.0ms)

IterNodesCost
065554
1122495
2449423
31993405
done5001405

prune214.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

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

sample339.0ms

Algorithm
intervals
Results
178.0ms10754×body80valid