Details

Time bar (total: 8.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune6.0ms

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
(+ x (/ 1.0 3.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
16.0ms
(+ x (/ 1.0 3.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(+ x (/ 1.0 3.0))

simplify1.7s

Counts
20 → 20
Iterations
IterNodes
done5001
41902
3626
2226
183
030

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))
0.0b
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.1b
(* x (* x x))
22.3b
(/ (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1
14×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
9×times-frac
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×fma-udef
1×pow2 cbrt-undiv clear-num frac-2neg pow-plus cube-unmult div-exp associate-*r* pow-sqr *-commutative div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
0.0ms
(fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))
0.0ms
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
14.0ms
(* x (* x x))
7.0ms
(/ (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))
46.0ms
(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
45.0ms
(* x (* x x))
221.0ms
(/ (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify919.0ms

Counts
87 → 87
Iterations
IterNodes
done5001
21099
1238
0111

prune431.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (/ (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
6.1b
(sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))))
6.1b
(sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))))
7.8b
(/ (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity add-cube-cbrt
35×sqrt-prod
22×associate-*r*
11×add-cbrt-cube add-exp-log
8×pow1
6×associate-*l* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
4 → 121
Calls
4 calls:
23.0ms
(* (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (/ (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
1.0ms
(sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))))
1.0ms
(sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))))
5.0ms
(/ (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series576.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(* (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (/ (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
56.0ms
(sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))))
72.0ms
(sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))))
177.0ms
(/ (sqrt (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify2.9s

Counts
133 → 133
Iterations
IterNodes
done5000
22916
1399
0168

prune610.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample356.0ms

Algorithm
intervals
Results
198.0ms8000×body80valid