Details

Time bar (total: 14.6s)

sample47.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify2.9s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite50.0ms

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))
8.0ms
(+ 0.99229 (* x 0.04481))
16.0ms
(* (+ 0.99229 (* x 0.04481)) x)
20.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ 2.30753 (* x 0.27061))
47.0ms
(+ 0.99229 (* x 0.04481))
121.0ms
(* (+ 0.99229 (* x 0.04481)) x)
82.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.5s

Counts
89 → 89
Iterations
IterNodes
done5000
21493
1391
0157

prune419.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

14.1b
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.1b
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.1b
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
18.2b
(cbrt (* (* (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
7×cbrt-div
6×flip3-+ associate-/r/ flip-+ associate-/l/
5×frac-times associate-*l/
4×pow1 insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*r/ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 114
Calls
4 calls:
22.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
25.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
39.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
66.0ms
(cbrt (* (* (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
106.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
87.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
88.0ms
(cbrt (* (* (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

simplify2.7s

Counts
126 → 126
Iterations
IterNodes
done5000
34113
21111
1334
0124

prune833.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

13.9b
(* (+ 2.30753 (* 0.27061 x)) (/ 1 (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))
14.1b
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.1b
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
18.2b
(cbrt (* (* (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (* (+ 2.30753 (* 0.27061 x)) (/ 1 (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt frac-times
29×*-un-lft-identity times-frac
28×add-cube-cbrt
27×cbrt-div
25×associate-*l/
18×associate-*r/
17×add-exp-log
15×flip3-+ associate-*r* flip-+
13×add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l*
5×un-div-inv
4×div-exp prod-exp insert-posit16 add-log-exp associate-/l/
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×clear-num frac-2neg cbrt-unprod
1×cbrt-prod rec-exp pow1/3 1-exp pow-prod-down *-commutative
Counts
4 → 144
Calls
4 calls:
21.0ms
(* (+ 2.30753 (* 0.27061 x)) (/ 1 (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))
20.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
19.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
159.0ms
(cbrt (* (* (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (* (+ 2.30753 (* 0.27061 x)) (/ 1 (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

series360.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (+ 2.30753 (* 0.27061 x)) (/ 1 (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))
69.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
77.0ms
(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
113.0ms
(cbrt (* (* (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (* (+ 2.30753 (* 0.27061 x)) (/ 1 (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))) (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

simplify2.5s

Counts
156 → 156
Iterations
IterNodes
done5014
23308
1828
0267

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done31
131
020

end0.0ms

sample1.0s

Algorithm
intervals
Results
908.0ms8000×body80valid