Details

Time bar (total: 23.0s)

sample40.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5141
143335
131795
121168
11845
10504
9247
8169
7139
6109
586
477
358
233
122
014

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
14.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1
5×flip3-+ flip-+
4×insert-posit16
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×+-commutative sum-log associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
4.0ms
(+ 2.30753 (* x 0.27061))
4.0ms
(+ 0.99229 (* x 0.04481))
13.0ms
(* (+ 0.99229 (* x 0.04481)) x)
28.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ 2.30753 (* x 0.27061))
48.0ms
(+ 0.99229 (* x 0.04481))
97.0ms
(* (+ 0.99229 (* x 0.04481)) x)
81.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.6s

Counts
89 → 89
Iterations
IterNodes
done5000
21493
1391
0157

prune397.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

7.6b
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
14.5b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.5b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.5b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
8×associate-/r/
7×add-cbrt-cube
4×frac-times pow1 insert-posit16 add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/l/
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 74
Calls
4 calls:
43.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
3.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series750.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
143.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
176.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
200.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.9s

Counts
86 → 86
Iterations
IterNodes
done5000
21453
1522
0202

prune552.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
14.5b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.5b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.5b
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
2664×times-frac
1344×cbrt-prod
1198×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
150×associate-/l*
106×cbrt-div
100×associate-/r/
53×flip3-+ flip-+
50×div-inv
13×add-exp-log
7×add-cbrt-cube
6×cbrt-undiv associate-/r* div-exp
4×pow1 insert-posit16 add-log-exp
3×pow1/3
1×clear-num frac-2neg associate-/l/
Counts
4 → 1118
Calls
4 calls:
57.0ms
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
2.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
4.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
4.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
210.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
176.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
194.0ms
(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify4.9s

Counts
1130 → 1130
Iterations
IterNodes
done5001
13293
01582

prune8.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.1s

Algorithm
intervals
Results
957.0ms8000×body80valid