Details

Time bar (total: 2.7s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 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)))))
2.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
34×*-un-lft-identity
27×times-frac
18×difference-of-squares
16×add-cube-cbrt
11×pow1
9×swap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
4×frac-times sub-neg
3×associate-/r* associate-/l*
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×cbrt-undiv pow2 frac-2neg flip3-+ pow-plus div-exp pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 112
Calls
4 calls:
4.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
279.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
37.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
35.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
60.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify63.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04421821
118111700
250021639

prune261.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))))
0.1b
(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))
0.1b
(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6)
2.3b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite612.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
31×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
14×unpow-prod-down
11×cbrt-prod
9×difference-of-squares
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×pow1
4×associate-/r* distribute-lft-out
3×pow-unpow associate-/l* distribute-lft-out--
2×associate-/r/ sqr-pow
1×cbrt-undiv pow-to-exp sub-neg flip3-- pow-pow frac-2neg flip3-+ pow1/3 diff-log div-exp pow-exp clear-num flip-- flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
430.0ms
(/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))))
72.0ms
(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))
72.0ms
(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6)
35.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))))
63.0ms
(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))
85.0ms
(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6)
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify54.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04391168
114821102
250021085

prune247.0ms

Filtered
101 candidates to 73 candidates (72.3%)
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
01610
11610

end0.0ms

sample415.0ms

Algorithm
intervals
Results
325.0ms8000×body80valid