Details

Time bar (total: 5.5s)

sample25.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13814
28714
327414
473714
5180114
6500214

prune2.0ms

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
(/ (/ 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)))))
3.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite650.0ms

Algorithm
rewrite-expression-head
Rules
1171×times-frac
1153×*-un-lft-identity
851×add-sqr-sqrt
795×add-cube-cbrt
696×prod-diff
176×distribute-rgt-in distribute-lft-in
170×distribute-lft-out
66×div-inv
26×associate-/r/
18×difference-of-squares
13×flip3-+ flip-+ associate-/l*
11×pow1 add-exp-log add-cbrt-cube
9×swap-sqr
8×flip3-- flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×fma-neg
4×expm1-log1p-u frac-times sub-neg associate-/r* log1p-expm1-u
3×cbrt-undiv div-exp
2×diff-log associate-*r/ associate-*l/
1×pow2 frac-2neg pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 879
Calls
4 calls:
25.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
408.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
63.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
64.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series203.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
64.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
42.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
54.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify321.0ms

Algorithm
egg-herbie
Counts
891 → 891
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0192736161
1500133972

prune1.6s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
0.1b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.9b
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
3.9b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite429.0ms

Algorithm
rewrite-expression-head
Rules
729×times-frac
653×*-un-lft-identity
432×add-sqr-sqrt
387×add-cube-cbrt
175×prod-diff
119×distribute-lft-out
84×swap-sqr
58×associate-*r* associate-*l*
45×add-exp-log add-cbrt-cube
40×div-inv
20×cbrt-undiv div-exp
16×associate-/r/
11×pow1
10×prod-exp cbrt-unprod
9×unswap-sqr
8×flip3-- flip3-+ flip-- flip-+ associate-/l/ add-log-exp
5×frac-times
4×expm1-log1p-u fma-neg associate-/r* log1p-expm1-u difference-of-squares
3×associate-*r/ associate-*l/
2×sub-neg diff-log
1×pow2 frac-2neg pow-plus pow-prod-down clear-num pow-sqr *-commutative pow-prod-up associate-/l* distribute-lft-out--
Counts
4 → 492
Calls
4 calls:
161.0ms
(/ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
146.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
9.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
64.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series360.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(/ (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (+ 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
49.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
58.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify148.0ms

Algorithm
egg-herbie
Counts
504 → 504
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0255612721
1500110485

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

sample437.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid