Details

Time bar (total: 13.6s)

sample30.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12217
23317
35817
48317
59317
611517
714317
817517
939217
10119417
11465217
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
27.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
6.0ms
(+ 0.99229 (* x 0.04481))
26.0ms
(* (+ 0.99229 (* x 0.04481)) x)
56.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
45.0ms
(+ 0.99229 (* x 0.04481))
98.0ms
(* (+ 0.99229 (* x 0.04481)) x)
73.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.3s

Counts
89 → 89
Iterations

Useful iterations: 2 (354.0ms)

IterNodesCost
01701668
14281584
219961478
done50021478

prune400.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.2b
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
12.9b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.9b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 164
Calls
4 calls:
14.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
125.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
79.0ms
(* (/ 1 (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
102.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
110.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify580.0ms

Counts
176 → 176
Iterations

Useful iterations: done (567.0ms)

IterNodesCost
02595241
17774857
done50014373

prune878.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
0.1b
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
13.0b
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt
58×add-cube-cbrt *-un-lft-identity
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×flip3-+ div-exp flip-+
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*l/ clear-num associate-/l/
1×+-commutative pow-flip pow-prod-down prod-exp sum-log *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 146
Calls
4 calls:
12.0ms
(+ 0.99229 (* x 0.04481))
34.0ms
(* (+ 0.99229 (* x 0.04481)) x)
41.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
37.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ 0.99229 (* x 0.04481))
109.0ms
(* (+ 0.99229 (* x 0.04481)) x)
111.0ms
(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
83.0ms
(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify2.6s

Counts
158 → 158
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02703763
17093505
237643303
done50013301

prune600.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01831
12731
done2731

end0.0ms

sample936.0ms

Algorithm
intervals
Results
716.0ms8000×body80valid