Details

Time bar (total: 1.9s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify93.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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)))))
1.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
113×add-sqr-sqrt
103×*-un-lft-identity
57×add-cube-cbrt
18×difference-of-squares
14×distribute-lft-out
13×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×div-inv
4×frac-times sub-neg associate-/r*
3×cbrt-undiv div-exp
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×pow2 frac-2neg flip3-+ pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ associate-/l/ unswap-sqr
Counts
4 → 169
Calls
4 calls:
11.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
49.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (/ 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)))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
196.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify84.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06612029
129311895
250011844

prune413.0ms

Filtered
181 candidates to 125 candidates (69.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1801181
Fresh000
Picked101
Done000
Total1811182

Merged error: 0b

Counts
182 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
21.0b
(- 2.0 (* (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (/ (/ (cbrt 2.0) (cbrt t)) (+ 1.0 (/ 1.0 t)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
8×*-un-lft-identity add-log-exp
6×cbrt-prod add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×times-frac difference-of-squares
2×sub-neg flip3-- pow1/3 diff-log flip--
1×distribute-lft-out--
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0ms
(- 2.0 (* (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (/ (/ (cbrt 2.0) (cbrt t)) (+ 1.0 (/ 1.0 t)))))

series151.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
103.0ms
(- 2.0 (* (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (/ (/ (cbrt 2.0) (cbrt t)) (+ 1.0 (/ 1.0 t)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0230619
1763563
25001385

prune198.0ms

Filtered
58 candidates to 47 candidates (81.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done000
Total58159

Merged error: 0b

Counts
59 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02524
12524

end0.0ms

sample413.0ms

Algorithm
intervals
Results
317.0ms8000×body80valid