Details

Time bar (total: 12.5s)

sample27.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
01619
13119
26016
39516
412616
514016
615616
720116
829716
935916
1044216
1164316
1299816
13455916
done500016

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 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)))
14.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
46×times-frac
45×prod-diff
15×fma-neg
10×associate-/r/
8×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
6×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 150
Calls
4 calls:
6.0ms
(+ 0.99229 (* x 0.04481))
110.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
32.0ms
(* x (+ 0.99229 (* x 0.04481)))
44.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ 0.99229 (* x 0.04481))
148.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
111.0ms
(* x (+ 0.99229 (* x 0.04481)))
86.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.2s

Counts
162 → 162
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02404158
16403638
226682850
done50002647

prune629.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
0.7b
(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
6×add-log-exp
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u
3×associate-*l* prod-diff associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg flip3-- pow-flip frac-2neg fma-neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- fma-udef inv-pow
Counts
4 → 103
Calls
4 calls:
23.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
1.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms
(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
32.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
33.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
64.0ms
(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
85.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify2.1s

Counts
115 → 115
Iterations

Useful iterations: 2 (480.0ms)

IterNodesCost
01992077
15071893
223491560
done50011560

prune486.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
12219
done2219

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid