Details

Time bar (total: 11.6s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 7 (3.3s)

IterNodesCost
01229
12029
23828
38728
425328
565728
6152726
7391722
done500022

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite675.0ms

Algorithm
rewrite-expression-head
Rules
1115×*-un-lft-identity
1102×times-frac
844×add-sqr-sqrt
783×add-cube-cbrt
741×prod-diff
176×distribute-rgt-in distribute-lft-in
156×distribute-lft-out
63×div-inv
30×associate-/r/
20×difference-of-squares
15×flip3-+ flip-+
11×pow1
10×add-log-exp
9×flip3-- fma-neg swap-sqr flip-- distribute-lft-out--
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×sub-neg
4×expm1-log1p-u frac-times log1p-expm1-u
3×diff-log
2×associate-*r/ associate-*l/
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 856
Calls
4 calls:
22.0ms
(- 1.0 (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
426.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
65.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- 1.0 (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))
61.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify1.4s

Counts
868 → 868
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0107774095
1219268321
done500053734

prune1.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (* (+ 1.0 (/ 1.0 t)) t))))
0.1b
(* (+ 1.0 (/ 1.0 t)) t)
3.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
31.1b
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (* (+ 1.0 (/ 1.0 t)) t)))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
270×times-frac
215×add-sqr-sqrt
193×add-cube-cbrt
174×prod-diff
40×distribute-lft-out
15×div-inv
11×associate-*l*
8×pow1 add-exp-log add-cbrt-cube
6×associate-*r* associate-/r/ add-log-exp difference-of-squares
4×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
3×fma-neg fma-udef
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
1×distribute-rgt-in sub-neg distribute-lft-in diff-log
Counts
4 → 256
Calls
4 calls:
187.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (* (+ 1.0 (/ 1.0 t)) t))))
37.0ms
(* (+ 1.0 (/ 1.0 t)) t)
66.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
0.0ms
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (* (+ 1.0 (/ 1.0 t)) t)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (* (+ 1.0 (/ 1.0 t)) t))))
64.0ms
(* (+ 1.0 (/ 1.0 t)) t)
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(fma (sqrt 2.0) (sqrt 2.0) (/ (- 2.0) (* (+ 1.0 (/ 1.0 t)) t)))

simplify1.9s

Counts
268 → 268
Iterations

Useful iterations: done (1.9s)

IterNodesCost
058015375
1146313839
2466310374
done500010366

prune596.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01733
12333
done2333

end0.0ms

sample446.0ms

Algorithm
intervals
Results
320.0ms8000×body80valid