Details

Time bar (total: 5.2s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify63.0ms

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 (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite277.0ms

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:
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify301.0ms

Algorithm
egg-herbie
Counts
792 → 792
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0127330716
1498121876
2500121868

prune1.4s

Filtered
792 candidates to 312 candidates (39.4%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

2.8b
(- 2.0 (/ (/ 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))))
22.2b
(- 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)))))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
801×*-un-lft-identity times-frac
588×add-sqr-sqrt
561×add-cube-cbrt
525×prod-diff
117×distribute-lft-out
45×div-inv
18×associate-/r/
12×fma-neg add-log-exp
9×flip3-+ flip-+ difference-of-squares
4×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
3×distribute-lft-out--
Counts
4 → 605
Calls
4 calls:
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.0ms
(- 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)))))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
253.0ms
(- 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)))))))

simplify189.0ms

Algorithm
egg-herbie
Counts
617 → 617
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0134623874
1500217884

prune1.8s

Filtered
617 candidates to 253 candidates (41.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03977
14177
24177

end0.0ms

sample415.0ms

Algorithm
intervals
Results
318.0ms8000×body80valid