Details

Time bar (total: 7.2s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
13525
29225
331925
490825
5231125
6500225

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:

2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite265.0ms

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:
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
44.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
55.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify306.0ms

Algorithm
egg-herbie
Counts
792 → 792
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0127430716
1498221876
2500121876

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.6b
(- 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)))))))

rewrite200.0ms

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:
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 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)))))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
106.0ms
(- 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)))))))

simplify195.0ms

Algorithm
egg-herbie
Counts
617 → 617
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
0134623874
1500217884

prune1.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.5b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
22.6b
(log (exp (- 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)))))))))
22.6b
(- 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)))))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
539×*-un-lft-identity
534×times-frac
397×add-sqr-sqrt
379×add-cube-cbrt
354×prod-diff
78×distribute-lft-out
30×div-inv
12×associate-/r/
10×add-log-exp
9×fma-neg
8×log-prod
6×flip3-+ flip-+ difference-of-squares
5×pow1 exp-sum
4×add-exp-log expm1-log1p-u sub-neg log-pow add-cbrt-cube log1p-expm1-u
3×exp-prod flip3-- diff-log flip--
2×distribute-lft-out--
1×log-div exp-diff rem-log-exp
Counts
4 → 433
Calls
4 calls:
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
5.0ms
(log (exp (- 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)))))))))
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)))))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
104.0ms
(log (exp (- 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)))))))))
112.0ms
(- 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)))))))

simplify146.0ms

Algorithm
egg-herbie
Counts
445 → 445
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0138717069
1500112840

prune1.5s

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
04179
14379
24379

end0.0ms

sample410.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid