Details

Time bar (total: 10.8s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 7 (2.0s)

IterNodesCost
01229
12029
23828
38328
423528
563528
6149026
7370124
done500024

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) 2.0))
0.0b
(fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) 2.0)
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×prod-diff
48×add-sqr-sqrt *-un-lft-identity
44×add-cube-cbrt
27×times-frac
12×associate-*r/ associate-/r/
8×add-log-exp
7×div-inv
6×add-exp-log flip3-+ fma-neg add-cbrt-cube flip-+
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-/r* associate-/l*
2×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef
Counts
4 → 131
Calls
4 calls:
2.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) 2.0))
0.0ms
(fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) 2.0)
13.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
8.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) 2.0))
65.0ms
(fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) 2.0)
24.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
25.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))

simplify874.0ms

Counts
143 → 143
Iterations

Useful iterations: done (868.0ms)

IterNodesCost
02114793
14854072
213122966
done50002958

prune295.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0)))) 2.0))
0.0b
(fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0)))) 2.0)
3.4b
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
27.7b
(fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
27×prod-diff
18×times-frac
6×add-exp-log associate-*r/ associate-/r/ add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
3×flip3-+ fma-neg associate-/r* flip-+ associate-/l*
2×fma-udef
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
2.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0)))) 2.0))
0.0ms
(fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0)))) 2.0)
8.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
0.0ms
(fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0))))

series616.0ms

Counts
4 → 12
Calls
4 calls:
393.0ms
(/ 1.0 (fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0)))) 2.0))
135.0ms
(fma (- 2.0 (/ 2.0 (* 1.0 (+ t 1)))) (fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0)))) 2.0)
29.0ms
(- 2.0 (/ 2.0 (* 1.0 (+ t 1))))
59.0ms
(fma (sqrt 2.0) (sqrt 2.0) (- (/ 2.0 (fma t 1.0 1.0))))

simplify956.0ms

Counts
107 → 107
Iterations

Useful iterations: done (951.0ms)

IterNodesCost
02763833
16683084
219802398
done50012395

prune273.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.4b
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
3.4b
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
3.4b
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
3.4b
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
164×add-sqr-sqrt
156×prod-diff
152×*-un-lft-identity
144×add-cube-cbrt
112×times-frac
12×fma-neg div-inv add-log-exp
8×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 → 236
Calls
4 calls:
11.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
8.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
8.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
8.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
37.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
43.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))
38.0ms
(- 2.0 (/ 2.0 (fma t 1.0 1.0)))

simplify2.5s

Counts
248 → 248
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
016410056
13908840
210845896
341574280
done50014280

prune385.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01627
12227
done2227

end0.0ms

sample414.0ms

Algorithm
intervals
Results
319.0ms8000×body80valid