Details

Time bar (total: 8.4s)

sample32.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01417
12817
25114
37314
48614
done8614

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
13.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
46×times-frac
45×prod-diff
15×fma-neg
10×associate-/r/
8×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
6×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 150
Calls
4 calls:
120.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
12.0ms
(+ 0.99229 (* x 0.04481))
18.0ms
(* x (+ 0.99229 (* x 0.04481)))
48.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series310.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
52.0ms
(+ 0.99229 (* x 0.04481))
79.0ms
(* x (+ 0.99229 (* x 0.04481)))
66.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.4s

Counts
162 → 162
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02404158
16403638
226752850
done50012647

prune822.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.1b
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
30×sqrt-prod
12×associate-/r*
10×add-exp-log
8×pow1 sqrt-div add-cbrt-cube
6×associate-/l*
5×flip3-+ flip-+
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv associate-/l/
1×rec-exp 1-exp inv-pow
Counts
4 → 128
Calls
4 calls:
44.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
21.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
11.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series618.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
140.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
124.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
110.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8s

Counts
140 → 140
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02413142
15872826
226522306
done50012301

prune976.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01831
12631
done2631

end0.0ms

sample951.0ms

Algorithm
intervals
Results
706.0ms8000×body80valid