Details

Time bar (total: 13.4s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01035
12035
24633
311933
431333
556433
676633
7101933
8144733
done500033

prune5.0ms

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
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
62×*-un-lft-identity
53×times-frac
34×add-sqr-sqrt
31×prod-exp cbrt-unprod
30×add-cube-cbrt
27×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
14×distribute-lft-out
11×flip3-+ flip-+
10×div-inv
associate-/r*
expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
Counts
4 → 198
Calls
4 calls:
33.0ms
(/ (* 2.0 t) (+ 1.0 t))
46.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
93.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
101.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (* 2.0 t) (+ 1.0 t))
164.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
61.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
79.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify2.1s

Counts
210 → 210
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02235239
16304649
223883685
done50003417

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow t 3))
7.8b
(- (fma 1.0 (* t t) 0.5) (* 2.0 (pow t 3)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r*
add-cube-cbrt *-un-lft-identity
add-exp-log
unpow-prod-down cube-prod add-cbrt-cube add-log-exp unswap-sqr
fma-neg associate-*l* prod-diff prod-exp
pow1 expm1-log1p-u log1p-expm1-u sqr-pow
cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp associate--l+ *-commutative flip-- cbrt-unprod fma-udef
Counts
2 → 54
Calls
2 calls:
13.0ms
(* 2.0 (pow t 3))
16.0ms
(- (fma 1.0 (* t t) 0.5) (* 2.0 (pow t 3)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* 2.0 (pow t 3))
65.0ms
(- (fma 1.0 (* t t) 0.5) (* 2.0 (pow t 3)))

simplify3.6s

Counts
60 → 60
Iterations

Useful iterations: done (3.6s)

IterNodesCost
095709
1208655
2648595
33958560
done5000558

prune227.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms