Details

Time bar (total: 12.7s)

sample25.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5002
61640
5559
4206
384
242
122
012

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2)
0.0b
(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
4.0b
(- 2 (/ 2 (+ 1 t)))
4.0b
(- 2 (/ 2 (+ 1 t)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
108×add-sqr-sqrt prod-diff
98×add-cube-cbrt
83×times-frac
18×distribute-lft-out
12×associate-/r/
8×add-exp-log add-log-exp
7×div-inv
6×flip3-+ add-cbrt-cube fma-neg flip-+
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u difference-of-squares
3×associate-/r* associate-/l*
2×sub-neg flip3-- diff-log div-exp flip-- distribute-lft-out--
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp fma-udef pow-flip inv-pow
Counts
4 → 195
Calls
4 calls:
0.0ms
(fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2)
5.0ms
(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
24.0ms
(- 2 (/ 2 (+ 1 t)))
51.0ms
(- 2 (/ 2 (+ 1 t)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2)
100.0ms
(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (- 2 (/ 2 (+ 1 t))) 2))
33.0ms
(- 2 (/ 2 (+ 1 t)))
30.0ms
(- 2 (/ 2 (+ 1 t)))

simplify2.2s

Counts
207 → 207
Iterations
IterNodes
done5000
21719
1616
0261

prune676.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2 (+ 1 t))
0.0b
(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t)))) 2))
4.0b
(- 2 (/ 2 (+ 1 t)))
35.2b
(fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
92×*-un-lft-identity
69×add-sqr-sqrt
64×add-cube-cbrt
58×times-frac
54×prod-diff
13×distribute-lft-out
10×add-exp-log
8×add-cbrt-cube associate-/r/
7×associate-/r*
6×associate-/l* add-log-exp
5×pow1 div-inv
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u
3×fma-neg div-exp
2×cbrt-undiv clear-num frac-2neg difference-of-squares
1×rec-exp sub-neg flip3-- diff-log 1-exp fma-udef pow-flip flip-- distribute-lft-out-- inv-pow
Counts
4 → 156
Calls
4 calls:
12.0ms
(/ 2 (+ 1 t))
10.0ms
(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t)))) 2))
50.0ms
(- 2 (/ 2 (+ 1 t)))
7.0ms
(fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 2 (+ 1 t))
496.0ms
(/ 1 (fma (- 2 (/ 2 (+ 1 t))) (fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t)))) 2))
30.0ms
(- 2 (/ 2 (+ 1 t)))
54.0ms
(fma (sqrt 2) (sqrt 2) (- (/ 2 (+ 1 t))))

simplify4.1s

Counts
168 → 168
Iterations
IterNodes
done5000
22453
1811
0322

prune804.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done18
118
012

end0.0ms

sample843.0ms

Algorithm
intervals
Results
745.0ms8000×body80valid