Details

Time bar (total: 13.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log log1p-expm1-u flip-- distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
16.0ms
(- x (/ 1.0 3.0))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- x (/ 1.0 3.0))

simplify1.9s

Counts
62 → 62
Iterations
IterNodes
done5001
32636
2973
1379
0154

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (- x (/ 1.0 3.0)))
0.0b
(- x (/ 1.0 3.0))
1.8b
(expm1 (log1p (- x (/ 1.0 3.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
40×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
28×times-frac
5×add-log-exp
4×expm1-log1p-u
3×pow1 add-cbrt-cube fma-neg add-exp-log log1p-expm1-u div-inv
2×difference-of-squares
1×log1p-udef expm1-log1p sub-neg flip3-- diff-log log1p-expm1 flip-- distribute-lft-out-- expm1-udef
Counts
3 → 81
Calls
3 calls:
1.0ms
(log1p (- x (/ 1.0 3.0)))
14.0ms
(- x (/ 1.0 3.0))
0.0ms
(expm1 (log1p (- x (/ 1.0 3.0))))

series320.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(log1p (- x (/ 1.0 3.0)))
31.0ms
(- x (/ 1.0 3.0))
224.0ms
(expm1 (log1p (- x (/ 1.0 3.0))))

simplify2.1s

Counts
90 → 90
Iterations
IterNodes
done5000
33893
21411
1554
0230

prune368.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
0.1b
(* x (* x x))
0.3b
(* x (/ 1.0 3.0))
20.9b
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity times-frac add-cube-cbrt
20×pow1
16×add-cbrt-cube add-exp-log
14×associate-*r*
9×cube-unmult add-log-exp
6×associate-*l*
5×prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u difference-cubes pow-prod-down log1p-expm1-u associate-/l*
3×associate-/r* sum-log unswap-sqr
2×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ div-inv associate-/l/
1×pow2 +-commutative associate-+r+ clear-num fma-def frac-2neg pow-plus flip3-- div-sub associate-*r/ pow-sqr flip--
Counts
4 → 114
Calls
4 calls:
40.0ms
(+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
16.0ms
(* x (* x x))
11.0ms
(* x (/ 1.0 3.0))
174.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
52.0ms
(* x (* x x))
31.0ms
(* x (/ 1.0 3.0))
202.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify1.8s

Counts
126 → 126
Iterations
IterNodes
done5001
22180
1552
0198

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (/ 1.0 3.0))
12.0b
(- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
19.6b
(/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
20.9b
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
194×times-frac
120×add-sqr-sqrt
90×*-un-lft-identity add-cube-cbrt
51×difference-of-squares
46×cube-unmult
26×associate-/r*
23×difference-cubes
16×add-cbrt-cube add-exp-log
13×associate-*r* associate-/r/
9×flip3-- flip--
8×div-inv associate-/l*
6×pow1 add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u associate-/l/
3×associate-*l*
2×clear-num frac-2neg div-sub prod-exp cbrt-unprod associate--r+ unswap-sqr
1×distribute-rgt-in sub-neg distribute-lft-in fma-neg diff-log prod-diff pow-prod-down associate-*r/ *-commutative
Counts
4 → 230
Calls
4 calls:
15.0ms
(* x (/ 1.0 3.0))
36.0ms
(- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
137.0ms
(/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
266.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

series968.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* x (/ 1.0 3.0))
59.0ms
(- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
117.0ms
(/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
766.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

simplify1.8s

Counts
242 → 242
Iterations
IterNodes
done5000
11427
0430

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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
done5
05

end0.0ms

sample331.0ms

Algorithm
intervals
Results
201.0ms8000×body80valid