Details

Time bar (total: 3.7s)

sample39.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014326
128326
243326
351326
done51326

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
16.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×associate-*r/ associate-/r/ difference-of-squares associate-/l/
1×distribute-rgt-in cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg distribute-lft-in flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
4.0ms
(+ 2.30753 (* x 0.27061))
56.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
24.0ms
(* x (+ 0.99229 (* x 0.04481)))
21.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ 2.30753 (* x 0.27061))
146.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
104.0ms
(* x (+ 0.99229 (* x 0.04481)))
87.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts
91 → 91
Iterations

Useful iterations: 2 (542.0ms)

IterNodesCost
017232323
146728754
2157728190
done500528190

prune519.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
16.9b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt
58×*-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg 1-exp associate-*r/ associate-/l/
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr
Counts
4 → 148
Calls
4 calls:
8.0ms
(+ 2.30753 (* x 0.27061))
23.0ms
(* x (+ 0.99229 (* x 0.04481)))
29.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
50.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ 2.30753 (* x 0.27061))
98.0ms
(* x (+ 0.99229 (* x 0.04481)))
83.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
80.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify383.0ms

Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
026875175