Details

Time bar (total: 2.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02017
14417
212617
332817
460217
578017
6101017
7148217
8500117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
55×*-un-lft-identity
49×times-frac
31×add-sqr-sqrt
30×prod-exp cbrt-unprod
27×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×associate-/r/
17×pow1
12×distribute-lft-out
10×flip3-+ flip-+
9×div-inv
3×associate-/r* associate-/l* add-log-exp
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×frac-2neg clear-num
Counts
3 → 165
Calls
3 calls:
15.0ms
(/ (+ 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)))))
31.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
31.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(/ (+ 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)))))
51.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
49.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify89.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05972088
130421672
250011631

prune268.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
133×add-exp-log
91×add-cbrt-cube
70×*-un-lft-identity
60×times-frac
54×prod-exp
46×associate-*l*
43×add-sqr-sqrt
42×div-exp
35×cbrt-unprod
32×add-cube-cbrt
30×associate-*r*
28×cbrt-undiv
26×associate-/r/
24×swap-sqr
21×unpow-prod-down cube-prod
20×pow1
17×distribute-lft-out
13×flip3-+ flip-+ div-inv
12×pow-exp
6×unswap-sqr
4×pow-to-exp add-log-exp
3×cube-div frac-times pow-unpow pow-plus associate-*r/ associate-*l/ *-commutative pow-prod-up rem-cube-cbrt sqr-pow
2×pow2 cube-mult unpow3 pow-prod-down pow-sqr
1×pow-pow
Counts
4 → 247
Calls
4 calls:
30.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
34.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
8.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
45.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
50.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
63.0ms
(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
83.0ms
(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
259 → 259
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08011786
150011538

prune474.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02128
12128

end0.0ms

sample305.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid