Details

Time bar (total: 7.8s)

sample21.0ms

Algorithm
intervals
Results
11.0ms452×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0811
1169
2318
3378
done378

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b
(+ (* x 2.0) (* x x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
5×fma-def
4×sum-log
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
1×associate-+l+
Counts
2 → 34
Calls
2 calls:
12.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms
(+ (* x 2.0) (* x x))

series84.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
53.0ms
(+ (* x 2.0) (* x x))

simplify1.2s

Counts
40 → 40
Iterations

Useful iterations: 3 (374.0ms)

IterNodesCost
061480
1196369
2772323
32682317
done5001317

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ 2.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt 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 distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
9.0ms
(* x (+ 2.0 x))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (+ 2.0 x))

simplify3.5s

Counts
28 → 28
Iterations

Useful iterations: 3 (185.0ms)

IterNodesCost
046206
1125193
2347175
31111174
44493174
done5000174

prune54.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))
0.0b
(- (* x x) (* 2.0 x))
0.0b
(fma (pow 2.0 3) x (pow x 4))
12.0b
(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×add-log-exp
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-+r+ associate-/r* associate-/l*
2×sub-neg flip3-+ diff-log prod-diff sum-log associate-/r/ flip-+
1×cbrt-undiv +-commutative associate-+r- flip3-- distribute-rgt-out-- fma-def frac-2neg fma-neg div-exp clear-num flip-- fma-udef div-inv
Counts
4 → 77
Calls
4 calls:
8.0ms
(+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))
3.0ms
(- (* x x) (* 2.0 x))
0.0ms
(fma (pow 2.0 3) x (pow x 4))
14.0ms
(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))
54.0ms
(- (* x x) (* 2.0 x))
108.0ms
(fma (pow 2.0 3) x (pow x 4))
178.0ms
(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01261657
12951367
28961246
335471245
done50001244

prune310.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample576.0ms

Algorithm
intervals
Results
349.0ms14328×body80valid