Details

Time bar (total: 7.8s)

sample32.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done2590
72590
61485
5435
4222
399
245
122
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t 2) (+ 1 t))
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
13×times-frac
11×add-cbrt-cube add-exp-log
7×associate-/r*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×cbrt-undiv div-exp
2×clear-num frac-2neg associate-/r/ fma-udef div-inv distribute-lft-out
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
4 → 80
Calls
4 calls:
25.0ms
(/ (* t 2) (+ 1 t))
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
4.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

series360.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t 2) (+ 1 t))
90.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2)
77.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
166.0ms
(/ (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

simplify1.3s

Counts
92 → 92
Iterations
IterNodes
done2225
32225
21261
1369
0157

prune481.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
0.0b
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.0b
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
0.0b
(/ (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 add-cbrt-cube add-exp-log associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
4 → 85
Calls
4 calls:
0.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
1.0ms
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
1.0ms
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
5.0ms
(/ (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

series635.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)
134.0ms
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
132.0ms
(sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1))
298.0ms
(/ (sqrt (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 1)) (fma (/ (* t 2) (+ 1 t)) (/ (* t 2) (+ 1 t)) 2))

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done2004
32004
2928
1314
0147

prune521.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
09

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid