Details

Time bar (total: 17.1s)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite287.0ms

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:
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series338.0ms

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))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
198.0ms
(- 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

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
6.6b
(- 2.0 (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3))

rewrite542.0ms

Algorithm
rewrite-expression-head
Rules
1867×times-frac
1773×*-un-lft-identity
1413×add-sqr-sqrt
1339×add-cube-cbrt
1248×prod-diff
944×cbrt-prod
361×unpow-prod-down cube-prod
213×distribute-lft-out
93×div-inv
30×associate-/r/
25×difference-of-squares
15×flip3-+ flip-+
12×cbrt-div fma-neg add-log-exp
4×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- sqr-pow
3×cube-mult unpow3
Counts
4 → 1345
Calls
4 calls:
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
53.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
218.0ms
(- 2.0 (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3))

series230.0ms

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))))
45.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
89.0ms
(- 2.0 (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3))

simplify586.0ms

Algorithm
egg-herbie
Counts
1357 → 1357
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0423066966
1500165506

prune5.9s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.7b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
6.6b
(fma 1 2.0 (- (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))
6.6b
(- 2.0 (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3))

rewrite461.0ms

Algorithm
rewrite-expression-head
Rules
1600×times-frac
1508×*-un-lft-identity
1219×add-sqr-sqrt
1154×add-cube-cbrt
1074×prod-diff
944×cbrt-prod
361×unpow-prod-down cube-prod
174×distribute-lft-out
78×div-inv
24×associate-/r/
22×difference-of-squares
12×cbrt-div flip3-+ flip-+
10×add-log-exp
9×fma-neg
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u sqr-pow
3×cube-mult sub-neg flip3-- diff-log unpow3 flip-- distribute-lft-out--
1×fma-udef
Counts
4 → 1160
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))))
0.0ms
(fma 1 2.0 (- (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))
217.0ms
(- 2.0 (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3))

series297.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
103.0ms
(fma 1 2.0 (- (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3)))
97.0ms
(- 2.0 (pow (/ (cbrt (/ 2.0 t)) (cbrt (+ 1.0 (/ 1.0 t)))) 3))

simplify742.0ms

Algorithm
egg-herbie
Counts
1172 → 1172
Iterations

Useful iterations: 1 (69.0ms)

IterNodesCost
0424159528
1500158678

prune5.5s

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
04478
14478

end0.0ms

sample415.0ms

Algorithm
intervals
Results
321.0ms8000×body80valid