Details

Time bar (total: 10.0m)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
13525
29225
331925
490825
5231125
6500225

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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:

4.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
1068×times-frac
1064×*-un-lft-identity
780×add-sqr-sqrt
744×add-cube-cbrt
696×prod-diff
156×distribute-lft-out
60×div-inv
24×associate-/r/
12×flip3-+ fma-neg flip-+ add-log-exp difference-of-squares
4×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
4 → 780
Calls
4 calls:
26.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
61.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify321.0ms

Algorithm
egg-herbie
Counts
792 → 792
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
0126430716
1489621876
2500121860

prune1.2s

Filtered
792 candidates to 312 candidates (60.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New7902792
Fresh000
Picked101
Done000
Total7912793

Merged error: 0.0b

Counts
793 → 2

localize36.0ms

Local error

Found 4 expressions with local error:

4.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
25.8b
(- 2.0 (* (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t)))))))

rewrite1.8m

Algorithm
rewrite-expression-head
Rules
392719×add-sqr-sqrt
260505×times-frac
239800×cbrt-prod
131035×*-un-lft-identity
116901×associate-*r*
104992×unswap-sqr
99765×add-cube-cbrt
96186×prod-diff
72367×swap-sqr
47356×associate-*l*
18122×*-commutative
13431×distribute-lft-out
8139×difference-of-squares
168×div-inv
48×associate-/r/
42×cbrt-div
30×flip3-+ flip-+
12×frac-times fma-neg add-log-exp
6×associate-*r/ associate-*l/
5×distribute-lft-out--
4×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
4 → 104398
Calls
4 calls:
26.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
35.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.3m
(- 2.0 (* (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t)))))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
54.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
116.0ms
(- 2.0 (* (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t)))))))

simplify2.1m

Algorithm
egg-herbie
Counts
104410 → 104410
Iterations

Useful iterations: 0 (4.5s)

IterNodesCost
012836113992703

prune6.1m

Filtered
104410 candidates to 47862 candidates (54.2%)