Details

Time bar (total: 4.0s)

sample32.0ms

Algorithm
intervals
Results
22.0ms256×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

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 (+ 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)))))
2.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.2b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite401.0ms

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)))))))
312.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
38.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
42.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
64.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04421821
118111700
250021639

prune265.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
0.1b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
2.2b
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.2b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
658×times-frac
529×*-un-lft-identity
397×add-sqr-sqrt
285×add-cube-cbrt
104×distribute-lft-out
84×swap-sqr
82×unpow-prod-down cube-prod
58×associate-*r* associate-*l*
46×add-exp-log add-cbrt-cube
34×div-inv
33×difference-of-squares
21×cbrt-undiv div-exp
13×sqr-pow
12×pow1 associate-/r/
9×prod-exp cbrt-unprod unswap-sqr
8×add-log-exp
6×flip3-+ flip-+
5×distribute-lft-out--
3×pow-unpow pow-exp rem-cube-cbrt
2×sub-neg flip3-- diff-log flip--
1×difference-cubes cube-div pow2 cube-mult frac-times pow-to-exp pow-pow pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 444
Calls
4 calls:
128.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
25.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
3.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
145.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

series248.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
67.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
55.0ms
(- (* 2.0 2.0) (* (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
72.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

simplify105.0ms

Algorithm
egg-herbie
Counts
456 → 456
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
021336226
150025878

prune1.3s

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
03246
13246

end0.0ms

sample796.0ms

Algorithm
intervals
Results
690.0ms8000×body80valid