Details

Time bar (total: 16.0s)

sample45.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
5.0ms256×pre80true

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.9s)

IterNodesCost
01025
13225
216823
389419
4335315
done500015

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (* i i))
0.5b
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
16×add-cbrt-cube
10×prod-exp
8×pow1 div-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
5×cbrt-undiv
4×cbrt-unprod
3×rec-exp pow-flip 1-exp pow-prod-down
2×expm1-log1p-u frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ log1p-expm1-u div-inv add-log-exp
1×flip3-- flip-- inv-pow
Counts
2 → 60
Calls
2 calls:
16.0ms
(/ 1.0 (* i i))
126.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1.0 (* i i))
73.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

simplify3.1s

Counts
66 → 66
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0136944
1322853
2943732
33845730
done5001730

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
0.0b
(* 4.0 (pow i 6))
0.0b
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×add-exp-log
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp unswap-sqr
2×fma-udef sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
3 → 47
Calls
3 calls:
0.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
16.0ms
(* 4.0 (pow i 6))
1.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

series401.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
102.0ms
(* 4.0 (pow i 6))
193.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 3 (413.0ms)

IterNodesCost
083651
1152619
2375557
31589550
done5001550

prune208.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
15.6b
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
42.6b
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
302×add-exp-log add-cbrt-cube
168×prod-exp cbrt-unprod
114×pow1
76×cbrt-undiv div-exp
36×pow-prod-up
26×times-frac
23×pow-prod-down
22×pow-sqr
20×add-sqr-sqrt
18×pow-plus
14×add-cube-cbrt *-un-lft-identity
13×pow2
7×div-inv
6×associate-/l* difference-of-squares
5×associate-/r*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/
1×flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- associate-/l/ unswap-sqr
Counts
3 → 226
Calls
3 calls:
31.0ms
(* (* i i) (* i i))
192.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
98.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series204.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* (* i i) (* i i))
106.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
46.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify2.3s

Counts
235 → 235
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02836866
16514618
231603064
done50002978

prune270.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11315
done1315

end0.0ms

sample964.0ms

Algorithm
intervals
Results
579.0ms8000×body80valid
156.0ms8000×pre80true