Details

Time bar (total: 6.6s)

sample56.0ms

Algorithm
intervals
Results
38.0ms256×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2000
131809
12737
11453
10309
9254
8207
7156
6118
5105
494
371
252
131
016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-cbrt-cube add-exp-log
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ insert-posit16 difference-of-squares
3×distribute-rgt-in associate-/r* sub-neg distribute-lft-in flip3-+ flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- distribute-lft-out-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num frac-2neg diff-log div-exp div-inv
Counts
4 → 99
Calls
4 calls:
42.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
105.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
18.0ms
(* x (+ 0.99229 (* x 0.04481)))
24.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
127.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
105.0ms
(* x (+ 0.99229 (* x 0.04481)))
76.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify971.0ms

Counts
111 → 111
Iterations
IterNodes
done2001
21802
1565
0210

prune444.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* (- x) 0.70711))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
15.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*l*
13×add-cbrt-cube add-exp-log
8×pow1
6×associate-*r* add-log-exp
5×flip3-+ flip-+
4×associate-/r/ insert-posit16
3×associate-/r* prod-exp cbrt-unprod associate-/l* unswap-sqr
2×distribute-lft-neg-out cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative div-inv associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in distribute-rgt-out unsub-neg associate-*l/
Counts
4 → 105
Calls
4 calls:
16.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* (- x) 0.70711))
21.0ms
(* x (+ 0.99229 (* x 0.04481)))
45.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
37.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711) (* (- x) 0.70711))
115.0ms
(* x (+ 0.99229 (* x 0.04481)))
87.0ms
(* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 0.70711)
88.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify656.0ms

Counts
117 → 117
Iterations
IterNodes
done2001
1655
0229

prune612.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify8.0ms

Iterations
IterNodes
done34
334
233
129
018

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid