Details

Time bar (total: 11.6s)

sample39.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
4.0ms256×pre80true

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01025
13225
216923
3102919
done500115

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1.0 (* i i))
0.5b
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
40×add-sqr-sqrt
26×add-exp-log
24×add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube difference-of-squares
13×div-exp
10×associate-/l*
8×div-inv
7×cbrt-undiv
6×associate-/r*
4×prod-exp
2×pow1 expm1-log1p-u rec-exp frac-2neg 1-exp clear-num associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 95
Calls
2 calls:
16.0ms
(/ 1.0 (* i i))
42.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))

series121.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1.0 (* i i))
82.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))

simplify1.4s

Counts
101 → 101
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02092015
15271914
224531764
done50001762

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i))))
0.1b
(/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i)))
0.1b
(/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i)))

rewrite456.0ms

Algorithm
rewrite-expression-head
Rules
596×times-frac
507×add-sqr-sqrt
343×*-un-lft-identity
227×add-cube-cbrt
121×add-exp-log
97×associate-*r*
81×difference-of-squares
72×div-exp
58×associate-*l*
49×add-cbrt-cube
28×div-inv
27×sqrt-prod distribute-lft-out distribute-lft-out--
26×associate-/l*
25×prod-exp
24×cbrt-undiv
16×unswap-sqr
12×rec-exp 1-exp
11×associate-/r*
9×cbrt-unprod
8×associate-/r/
5×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- frac-2neg flip3-+ clear-num flip-- flip-+ associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 441
Calls
3 calls:
298.0ms
(* (/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i))))
47.0ms
(/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i)))
65.0ms
(/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i)))

series424.0ms

Counts
3 → 9
Calls
3 calls:
255.0ms
(* (/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i))))
73.0ms
(/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i)))
96.0ms
(/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i)))

simplify1.0s

Counts
450 → 450
Iterations

Useful iterations: done (1.0s)

IterNodesCost
052210899
1178910073
done50019455

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×associate-*l* prod-exp unswap-sqr
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 37
Calls
2 calls:
23.0ms
(* 4.0 (pow i 6))
1.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))

series144.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* 4.0 (pow i 6))
77.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))

simplify3.5s

Counts
43 → 43
Iterations

Useful iterations: 3 (855.0ms)

IterNodesCost
074481
1151452
2530412
33450406
done5001406

prune169.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01221
11621
done1621

end0.0ms

sample1.3s

Algorithm
intervals
Results
965.0ms8000×body80valid
147.0ms8000×pre80true