Details

Time bar (total: 14.9s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2169
132
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize11.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
5×add-sqr-sqrt
4×associate-/r* times-frac prod-exp cbrt-unprod
3×*-un-lft-identity add-cube-cbrt associate-/l/
2×associate-/r/ difference-of-squares
1×expm1-log1p-u frac-times pow1 clear-num frac-2neg flip3-- associate-*l/ associate-*r/ log1p-expm1-u div-inv flip-- associate-/l* add-log-exp
Counts
1 → 36
Calls
1 calls:
68.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

series135.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* i 2.0) (* i 2.0)) 1.0))

simplify1.7s

Counts
39 → 39
Iterations
IterNodes
done5001
22404
1342
0109

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
193×add-sqr-sqrt
157×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
45×associate-*r* associate-*l*
26×associate-/l*
24×cbrt-undiv div-exp
18×div-inv
9×prod-exp cbrt-unprod unswap-sqr
8×associate-/r/
6×associate-/r*
5×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip-- associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 279
Calls
3 calls:
17.0ms
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
28.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
121.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

series666.0ms

Counts
3 → 9
Calls
3 calls:
178.0ms
(/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0)))
144.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
345.0ms
(* (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))

simplify1.4s

Counts
288 → 288
Iterations
IterNodes
done5000
11473
0436

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
0.0b
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
0.0b
(* (* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))
0.3b
(* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))))

rewrite506.0ms

Algorithm
rewrite-expression-head
Rules
507×times-frac
333×add-sqr-sqrt
267×*-un-lft-identity add-cube-cbrt
206×sqrt-prod
93×associate-*r*
50×swap-sqr
49×associate-*l*
37×add-cbrt-cube add-exp-log
30×div-inv
26×associate-/l*
24×pow1
19×unswap-sqr
14×associate-/r/
12×cbrt-undiv sqrt-div div-exp
10×prod-exp cbrt-unprod
8×sqrt-pow1 pow1/2
6×frac-times associate-/r* flip3-+ pow-prod-down associate-*l/ flip-+
5×pow-prod-up
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow-sqr
2×clear-num frac-2neg *-commutative associate-/l/
1×pow2 rem-square-sqrt pow-plus flip3-- sqrt-unprod flip--
Counts
4 → 420
Calls
4 calls:
36.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
28.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
208.0ms
(* (* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))
184.0ms
(* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
149.0ms
(/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))
533.0ms
(* (* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0))))) (/ (/ i 2.0) (- (* i 2.0) (sqrt 1.0))))
301.0ms
(* (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))) (sqrt (/ (/ i 2.0) (+ (* i 2.0) (sqrt 1.0)))))

simplify1.7s

Counts
432 → 432
Iterations
IterNodes
done5000
11663
0662

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample859.0ms

Algorithm
intervals
Results
560.0ms8000×body80valid
143.0ms8000×pre80true