Details

Time bar (total: 2.4s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify91.0ms

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: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.3b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
2.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
162×*-un-lft-identity
120×add-sqr-sqrt
102×add-cube-cbrt
28×distribute-lft-out
26×associate-/l*
14×add-exp-log add-cbrt-cube
12×div-inv
8×associate-/r* add-log-exp
6×cbrt-undiv div-exp difference-of-squares
4×pow1 associate-/r/
2×sub-neg flip3-- frac-2neg flip3-+ diff-log clear-num flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 204
Calls
4 calls:
11.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
11.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
27.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series181.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
46.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
04951986
118961910
250021910

prune512.0ms

Filtered
216 candidates to 156 candidates (72.2%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2151216
Fresh000
Picked101
Done000
Total2161217

Merged error: 0.2b

Counts
217 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.3b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
2.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.8b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
162×*-un-lft-identity
120×add-sqr-sqrt
102×add-cube-cbrt
28×distribute-lft-out
26×associate-/l*
14×add-exp-log add-cbrt-cube
12×div-inv
8×associate-/r* add-log-exp
6×cbrt-undiv div-exp difference-of-squares
4×pow1 associate-/r/
2×sub-neg flip3-- frac-2neg flip3-+ diff-log clear-num flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 204
Calls
4 calls:
11.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
11.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
26.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
46.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify66.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
04951986
118961910
250021910

prune637.0ms

Filtered
216 candidates to 156 candidates (72.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New2160216
Fresh000
Picked011
Done000
Total2161217

Merged error: 0.2b

Counts
217 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01816
11816

end0.0ms

sample414.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid