Details

Time bar (total: 23.1s)

sample28.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations
IterNodes
done51
351
243
128
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))))

rewrite68.0ms

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:
13.0ms
(+ 2.30753 (* x 0.27061))
9.0ms
(+ 0.99229 (* x 0.04481))
22.0ms
(* x (+ 0.99229 (* x 0.04481)))
21.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series333.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ 2.30753 (* x 0.27061))
68.0ms
(+ 0.99229 (* x 0.04481))
128.0ms
(* x (+ 0.99229 (* x 0.04481)))
89.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.5s

Counts
91 → 91
Iterations
IterNodes
done5001
21637
1430
0159

prune449.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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:
42.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series881.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
168.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
215.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
197.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.3s

Counts
86 → 86
Iterations
IterNodes
done5001
21542
1528
0202

prune682.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

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:
70.0ms
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
215.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
183.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
214.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify5.1s

Counts
1130 → 1130
Iterations
IterNodes
done5001
13299
01582

prune9.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid