Details

Time bar (total: 10.8s)

sample23.0ms

Algorithm
intervals
Results
12.0ms354×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
1106
2146
3166
4176
done176

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ y (fma x x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ sum-log add-cbrt-cube flip-+ fma-udef log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
11.0ms
(+ y (fma x x y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(+ y (fma x x y))

simplify3.6s

Counts
21 → 21
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
033173
182165
2232150
3874146
44072141
done5000141

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (fma x x y) (pow x 4))
0.1b
(pow (fma x x y) 3)
0.8b
(+ (pow y 3) (pow (fma x x y) 3))
40.9b
(/ (+ (pow y 3) (pow (fma x x y) 3)) (fma y (fma x x y) (pow x 4)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
27×times-frac
26×unpow-prod-down cube-prod
25×distribute-lft-out
24×add-sqr-sqrt add-cube-cbrt
12×fma-def
9×associate-/l*
7×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 sum-cubes
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow associate-/r*
2×cube-mult flip3-+ unpow3 flip-+ associate-/l/ sqr-pow
1×cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg div-exp pow-exp clear-num sum-log fma-udef div-inv rem-cube-cbrt
Counts
4 → 121
Calls
4 calls:
1.0ms
(fma y (fma x x y) (pow x 4))
5.0ms
(pow (fma x x y) 3)
30.0ms
(+ (pow y 3) (pow (fma x x y) 3))
102.0ms
(/ (+ (pow y 3) (pow (fma x x y) 3)) (fma y (fma x x y) (pow x 4)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(fma y (fma x x y) (pow x 4))
88.0ms
(pow (fma x x y) 3)
134.0ms
(+ (pow y 3) (pow (fma x x y) 3))
193.0ms
(/ (+ (pow y 3) (pow (fma x x y) 3)) (fma y (fma x x y) (pow x 4)))

simplify1.0s

Counts
133 → 133
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01422619
13282459
211232297
done50002287

prune540.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma x x y) (fma x x 0) (* y y))
29.6b
(sqrt (fma y (fma x x y) (pow x 4)))
29.6b
(sqrt (fma y (fma x x y) (pow x 4)))
29.7b
(/ (fma (fma x x y) (fma x x 0) (* y y)) (sqrt (fma y (fma x x y) (pow x 4))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log associate-/r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 81
Calls
4 calls:
0.0ms
(fma (fma x x y) (fma x x 0) (* y y))
2.0ms
(sqrt (fma y (fma x x y) (pow x 4)))
2.0ms
(sqrt (fma y (fma x x y) (pow x 4)))
7.0ms
(/ (fma (fma x x y) (fma x x 0) (* y y)) (sqrt (fma y (fma x x y) (pow x 4))))

series738.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(fma (fma x x y) (fma x x 0) (* y y))
204.0ms
(sqrt (fma y (fma x x y) (pow x 4)))
260.0ms
(sqrt (fma y (fma x x y) (pow x 4)))
187.0ms
(/ (fma (fma x x y) (fma x x 0) (* y y)) (sqrt (fma y (fma x x y) (pow x 4))))

simplify2.9s

Counts
93 → 93
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0962247
11612110
23601769
311771769
done50001553

prune338.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

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
046
156
done56

end0.0ms

sample773.0ms

Algorithm
intervals
Results
378.0ms10758×body80valid