Details

Time bar (total: 2.3s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune2.0ms

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
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
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)))))))
2.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite353.0ms

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:
272.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
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)))))))
36.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
33.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series264.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
108.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify64.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04411821
118121700
250021639

prune257.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3)
0.5b
(cbrt (pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3))
2.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.6b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
42×times-frac
38×*-un-lft-identity
36×cbrt-prod
34×add-cube-cbrt
30×unpow-prod-down cube-prod
8×associate-/r/ add-log-exp
7×add-exp-log add-cbrt-cube
6×difference-of-squares
5×pow1
4×flip3-+ flip-+ div-inv
3×pow-unpow
2×cube-div cube-mult sub-neg flip3-- diff-log unpow3 pow-exp flip-- distribute-lft-out-- rem-cube-cbrt sqr-pow
1×cbrt-undiv pow-to-exp cbrt-div pow-pow pow1/3 div-exp rem-cbrt-cube
Counts
4 → 128
Calls
4 calls:
7.0ms
(pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3)
7.0ms
(cbrt (pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3))
36.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
34.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3)
109.0ms
(cbrt (pow (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))) 3))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify78.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05502896
122062687
250012657

prune267.0ms

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
01716
11716

end0.0ms

sample417.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid