Details

Time bar (total: 14.1s)

sample41.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01025
13225
216923
3102919
done500115

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))
0.3b
(/ 1.0 (* i i))

rewrite61.0ms

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:
49.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))
8.0ms
(/ 1.0 (* i i))

series126.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))
48.0ms
(/ 1.0 (* i i))

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: 2 (431.0ms)

IterNodesCost
02092015
15321914
224601762
done50011762

prune372.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)))

rewrite530.0ms

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:
348.0ms
(* (/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i))))
49.0ms
(/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i)))
70.0ms
(/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i)))

series444.0ms

Counts
3 → 9
Calls
3 calls:
227.0ms
(* (/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i))) (/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i))))
117.0ms
(/ (/ 1 2.0) (+ 2.0 (/ (sqrt 1.0) i)))
101.0ms
(/ (/ 1 2.0) (- 2.0 (/ (sqrt 1.0) i)))

simplify1.1s

Counts
450 → 450
Iterations

Useful iterations: done (1.1s)

IterNodesCost
052210899
1178910073
done50019455

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- 2.0 (/ (sqrt 1.0) i))))
0.1b
(/ (cbrt (/ 1 (* 2.0 2.0))) (- 2.0 (/ (sqrt 1.0) i)))
0.2b
(/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i)))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
268×add-sqr-sqrt
252×times-frac
124×*-un-lft-identity
111×cbrt-prod
76×associate-*r*
74×add-cube-cbrt
63×difference-of-squares
31×add-exp-log
21×sqrt-prod add-cbrt-cube distribute-lft-out--
19×div-inv
11×associate-/r* associate-/l*
10×cbrt-undiv div-exp associate-*l* unswap-sqr
9×prod-exp cbrt-unprod
8×associate-/r/
5×pow1 cbrt-div
4×associate-/l/
3×expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
2×frac-times flip3-- frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-- flip-+
1×pow-prod-down *-commutative
Counts
3 → 256
Calls
3 calls:
265.0ms
(* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- 2.0 (/ (sqrt 1.0) i))))
59.0ms
(/ (cbrt (/ 1 (* 2.0 2.0))) (- 2.0 (/ (sqrt 1.0) i)))
68.0ms
(/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i)))

series742.0ms

Counts
3 → 9
Calls
3 calls:
337.0ms
(* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (/ (cbrt (/ 1 (* 2.0 2.0))) (- 2.0 (/ (sqrt 1.0) i))))
177.0ms
(/ (cbrt (/ 1 (* 2.0 2.0))) (- 2.0 (/ (sqrt 1.0) i)))
228.0ms
(/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i)))

simplify645.0ms

Counts
265 → 265
Iterations

Useful iterations: done (634.0ms)

IterNodesCost
03708493
110958222
done50007623

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (/ 1 (* 2.0 2.0)))) (/ 1 (- 2.0 (/ (sqrt 1.0) i))))
0.1b
(/ 1 (- 2.0 (/ (sqrt 1.0) i)))
0.1b
(* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (/ 1 (* 2.0 2.0))))
0.2b
(/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i)))

rewrite630.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
82×add-exp-log
75×times-frac
56×*-un-lft-identity
37×associate-*r* prod-exp
35×add-cbrt-cube
34×add-cube-cbrt
22×div-exp
21×cbrt-unprod difference-of-squares
13×cbrt-undiv cbrt-prod
12×pow1
11×associate-*l* associate-/r*
10×cbrt-div
8×associate-/r/ unswap-sqr
7×frac-times associate-*l/ sqrt-prod distribute-lft-out--
5×rec-exp 1-exp associate-*r/ div-inv
4×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp
3×associate-/l/ distribute-lft-out
2×flip3-- frac-2neg flip3-+ clear-num *-commutative flip-- flip-+
1×pow-flip un-div-inv inv-pow
Counts
4 → 201
Calls
4 calls:
376.0ms
(* (* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (/ 1 (* 2.0 2.0)))) (/ 1 (- 2.0 (/ (sqrt 1.0) i))))
30.0ms
(/ 1 (- 2.0 (/ (sqrt 1.0) i)))
151.0ms
(* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (/ 1 (* 2.0 2.0))))
55.0ms
(/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i)))

series743.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (/ 1 (* 2.0 2.0)))) (/ 1 (- 2.0 (/ (sqrt 1.0) i))))
117.0ms
(/ 1 (- 2.0 (/ (sqrt 1.0) i)))
148.0ms
(* (/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (/ 1 (* 2.0 2.0))))
202.0ms
(/ (* (cbrt (/ 1 (* 2.0 2.0))) (cbrt (/ 1 (* 2.0 2.0)))) (+ 2.0 (/ (sqrt 1.0) i)))

simplify634.0ms

Counts
213 → 213
Iterations

Useful iterations: done (624.0ms)

IterNodesCost
03316526
19906144
done50004406

prune920.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11215
done1215

end0.0ms

sample988.0ms

Algorithm
intervals
Results
643.0ms8000×body80valid
116.0ms8000×pre80true