Details

Time bar (total: 2.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify399.0ms

Counts
1 → 1
Iterations

Useful iterations: done (399.0ms)

IterNodesCost
01025
13225
216723
389319
done500017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize8.0ms

Local error

Found 1 expressions with local error:

13.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
2×associate-*l/ associate-/r/
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
24.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify461.0ms

Counts
32 → 32
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
098851
1312830
21467578
done5000578

prune244.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (pow i 2)) 0.0625))
0.3b
(/ 0.00390625 (pow i 4))
0.4b
(/ 0.015625 (pow i 2))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
55×*-un-lft-identity
50×add-sqr-sqrt add-cube-cbrt
33×unpow-prod-down
25×fma-def
15×associate-/r*
13×add-exp-log
11×sqr-pow
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/l*
4×unpow2
3×pow1 expm1-log1p-u sum-log log1p-expm1-u div-inv distribute-lft-out
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ frac-add pow-exp clear-num flip-+
1×+-commutative associate-+r+
Counts
3 → 142
Calls
3 calls:
71.0ms
(+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (pow i 2)) 0.0625))
4.0ms
(/ 0.00390625 (pow i 4))
4.0ms
(/ 0.015625 (pow i 2))

series93.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (pow i 2)) 0.0625))
36.0ms
(/ 0.00390625 (pow i 4))
25.0ms
(/ 0.015625 (pow i 2))

simplify706.0ms

Counts
151 → 151
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
02191557
14791413
218221285
done50001285

prune359.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.0b

bsearch43.0ms

Steps
ItersRangePoint
9
0.029226654171757103
56271380.59460412
227.42395475971242

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02434
12834
done2834

end0.0ms

sample392.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid
67.0ms8000×pre80true