Details

Time bar (total: 15.3s)

sample41.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.8s)

IterNodesCost
01025
13225
216823
389419
4335315
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

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)))

rewrite100.0ms

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:
11.0ms
(/ 1.0 (* i i))
87.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1.0 (* i i))
69.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))

simplify3.0s

Counts
66 → 66
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0136944
1322853
2943732
33845730
done5001730

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite19.0ms

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:
1.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
15.0ms
(* 4.0 (pow i 6))
0.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

series376.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
65.0ms
(* 4.0 (pow i 6))
199.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 3 (367.0ms)

IterNodesCost
083651
1152619
2375557
31589550
done5001550

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

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)))

rewrite309.0ms

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:
39.0ms
(* (* i i) (* i i))
167.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
73.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (* i i) (* i i))
111.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
40.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify2.2s

Counts
235 → 235
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02836866
16514618
231603064
done50002978

prune288.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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

sample944.0ms

Algorithm
intervals
Results
551.0ms8000×body80valid
181.0ms8000×pre80true