Details

Time bar (total: 3.9s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01035
12035
24633
312333
431633
555133
671633
797833
8159433
done500033

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
7×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×cbrt-undiv div-exp
2×frac-2neg clear-num associate-/r/ fma-udef div-inv distribute-lft-out
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
4 → 76
Calls
4 calls:
6.0ms
(/ (* 2.0 t) (+ 1.0 t))
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
2.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

series396.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (* 2.0 t) (+ 1.0 t))
83.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)
186.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
82.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)

simplify449.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
01552366
13652331
213502069
done50002069

prune203.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cbrt (pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
0.0b
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
0.0b
(cbrt (pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3))
0.0b
(pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
15×associate-/l*
7×add-exp-log
6×cube-mult unpow3 add-cbrt-cube sqr-pow
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r*
1×cbrt-undiv pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num rem-cbrt-cube fma-udef div-inv rem-cube-cbrt
Counts
4 → 135
Calls
4 calls:
7.0ms
(/ (cbrt (pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
4.0ms
(cbrt (pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3))
1.0ms
(pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3)

series463.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(/ (cbrt (pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
82.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
82.0ms
(cbrt (pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3))
110.0ms
(pow (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) 3)

simplify534.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01906639
13606072
212665466
done50005466

prune300.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
11436
done1436

end0.0ms

sample301.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid