Details

Time bar (total: 4.6s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12817
23717
34117
done4117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
2.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
32.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
10.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
86.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify639.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
01731756
14371670
215391556
done50001556

prune213.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
15.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
22.9b
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
36×cbrt-prod
30×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
10×associate-/r/
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 associate-*r/ div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×distribute-rgt-in pow-to-exp cbrt-div pow-pow frac-2neg distribute-lft-in pow1/3 pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod unswap-sqr
Counts
4 → 149
Calls
4 calls:
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series269.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
84.0ms
(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
61.0ms
(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify987.0ms

Counts
161 → 161
Iterations

Useful iterations: 2 (333.0ms)

IterNodesCost
02444378
16683899
226103524
done50013524

prune351.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 3)
0.2b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.3b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
22.9b
(cbrt (pow (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 3))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×add-exp-log
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
17×add-cbrt-cube
15×associate-*r*
12×cube-div
10×pow1
8×cbrt-prod flip3-+ prod-exp flip-+
6×frac-times cbrt-div div-exp associate-*l/
5×pow-exp
4×associate-/r/ cbrt-unprod add-log-exp
3×cbrt-undiv rec-exp pow-unpow 1-exp associate-*r/ associate-*l* associate-/r* un-div-inv associate-/l* rem-cube-cbrt unswap-sqr
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down div-inv sqr-pow
1×pow-to-exp pow-flip frac-2neg pow1/3 clear-num *-commutative rem-cbrt-cube inv-pow
Counts
4 → 130
Calls
4 calls:
8.0ms
(pow (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 3)
4.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
2.0ms
(cbrt (pow (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 3))

series239.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(pow (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 3)
41.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
56.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
59.0ms
(cbrt (pow (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) 3))

simplify804.0ms

Counts
142 → 142
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
02313216
16042626
223292466
done50012466

prune357.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922
12822
done2822

end0.0ms

sample323.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid