Details

Time bar (total: 14.6s)

sample65.0ms

Algorithm
intervals
Results
48.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
72379
6986
5443
4179
379
239
120
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2 (+ 1 t))
0.0b
(* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))
3.4b
(- 2 (/ 2 (+ 1 t)))
3.4b
(- 2 (/ 2 (+ 1 t)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
43×*-un-lft-identity
18×times-frac
17×add-cube-cbrt
12×difference-of-squares
11×pow1
8×flip3-- add-cbrt-cube swap-sqr add-exp-log flip-- distribute-lft-out-- add-log-exp
6×associate-*r* associate-*l*
4×frac-times associate-/r* sub-neg distribute-lft-out
3×associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log associate-*l/ associate-*r/ associate-/r/
1×pow2 cbrt-undiv clear-num frac-2neg flip3-+ pow-plus div-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 111
Calls
4 calls:
8.0ms
(/ 2 (+ 1 t))
111.0ms
(* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))
21.0ms
(- 2 (/ 2 (+ 1 t)))
21.0ms
(- 2 (/ 2 (+ 1 t)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 2 (+ 1 t))
46.0ms
(* (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))))
34.0ms
(- 2 (/ 2 (+ 1 t)))
24.0ms
(- 2 (/ 2 (+ 1 t)))

simplify4.4s

Counts
123 → 123
Iterations
IterNodes
35107
21365
1401
0155

prune985.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt 2) (/ (+ 1 t) (sqrt 2)))
0.7b
(/ (+ 1 t) (sqrt 2))
3.2b
(- 2 (/ (sqrt 2) (/ (+ 1 t) (sqrt 2))))
3.4b
(- 2 (/ 2 (+ 1 t)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
371×times-frac
286×*-un-lft-identity
215×add-sqr-sqrt
191×sqrt-prod
184×add-cube-cbrt
49×distribute-lft-out
34×associate-/r*
11×add-cbrt-cube add-exp-log
10×div-inv associate-/l*
9×difference-of-squares
8×add-log-exp
4×pow1 cbrt-undiv div-exp
3×distribute-lft-out--
2×clear-num sub-neg frac-2neg flip3-- diff-log associate-/r/ flip-- associate-/l/
1×flip3-+ distribute-rgt-out-- flip-+
Counts
4 → 302
Calls
4 calls:
15.0ms
(/ (sqrt 2) (/ (+ 1 t) (sqrt 2)))
12.0ms
(/ (+ 1 t) (sqrt 2))
14.0ms
(- 2 (/ (sqrt 2) (/ (+ 1 t) (sqrt 2))))
11.0ms
(- 2 (/ 2 (+ 1 t)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (sqrt 2) (/ (+ 1 t) (sqrt 2)))
107.0ms
(/ (+ 1 t) (sqrt 2))
86.0ms
(- 2 (/ (sqrt 2) (/ (+ 1 t) (sqrt 2))))
22.0ms
(- 2 (/ 2 (+ 1 t)))

simplify1.5s

Counts
314 → 314
Iterations
IterNodes
22340
1881
0343

prune3.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.4s8000×body80valid