Details

Time bar (total: 11.8s)

sample38.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
done51
351
243
128
014

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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-*r/ associate-/r/ associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 79
Calls
4 calls:
8.0ms
(+ 2.30753 (* x 0.27061))
7.0ms
(+ 0.99229 (* x 0.04481))
12.0ms
(* x (+ 0.99229 (* x 0.04481)))
20.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ 2.30753 (* x 0.27061))
57.0ms
(+ 0.99229 (* x 0.04481))
107.0ms
(* x (+ 0.99229 (* x 0.04481)))
71.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.5s

Counts
91 → 91
Iterations
IterNodes
done5001
21637
1430
0159

prune466.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

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:
37.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
65.0ms
(cbrt (* (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

series350.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
76.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
88.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
81.0ms
(cbrt (* (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

simplify2.7s

Counts
126 → 126
Iterations
IterNodes
done5000
34131
21114
1334
0124

prune803.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

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:
22.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
20.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
24.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
142.0ms
(cbrt (* (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

series407.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
104.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
103.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
100.0ms
(cbrt (* (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))

simplify2.4s

Counts
156 → 156
Iterations
IterNodes
done5004
23311
1828
0267

prune974.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done31
131
020

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid