Details

Time bar (total: 16.0s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2169
132
010

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
393×times-frac
185×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
43×associate-/l*
17×div-inv
10×add-cbrt-cube add-exp-log
6×cbrt-undiv div-exp
3×associate-/r*
2×associate-/r/
1×expm1-log1p-u pow1 clear-num frac-2neg flip3-- log1p-expm1-u flip-- add-log-exp associate-/l/
Counts
1 → 196
Calls
1 calls:
356.0ms
(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

series179.0ms

Counts
1 → 3
Calls
1 calls:
179.0ms
(/ (/ (/ i 2.0) 2.0) (- (* 2.0 (* i 2.0)) (/ 1.0 i)))

simplify787.0ms

Counts
199 → 199
Iterations
IterNodes
done5000
11234
0462

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ (/ i 2.0) 2.0))
0.5b
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ (/ i 2.0) 2.0)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
2103×times-frac
917×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
177×associate-/r*
70×div-inv
45×add-exp-log
32×div-exp
25×add-cbrt-cube
16×cbrt-undiv
6×associate-/r/ associate-/l*
4×rec-exp 1-exp
3×pow1
2×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 767
Calls
2 calls:
70.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ (/ i 2.0) 2.0))
60.0ms
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ (/ i 2.0) 2.0)))

series317.0ms

Counts
2 → 6
Calls
2 calls:
188.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ (/ i 2.0) 2.0))
129.0ms
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ (/ i 2.0) 2.0)))

simplify2.0s

Counts
773 → 773
Iterations
IterNodes
done5001
14080
01261

prune3.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (/ (sqrt i) (sqrt 2.0)) 1) (* (* (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i)) (sqrt 2.0)) 2.0))
0.3b
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i))
0.4b
(* (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i)) (sqrt 2.0))
0.4b
(/ (sqrt i) (sqrt 2.0))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
656×times-frac
310×add-sqr-sqrt
294×*-un-lft-identity add-cube-cbrt
287×sqrt-prod
133×associate-/l*
99×add-exp-log
67×add-cbrt-cube
52×div-exp
30×cbrt-undiv
27×prod-exp
22×associate-*l*
17×cbrt-unprod
13×associate-/r*
12×div-inv
8×1-exp
6×pow1 associate-*r* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*l/ associate-/l/
1×sqrt-undiv flip3-- div-sub pow-prod-down associate-/r/ *-commutative flip--
Counts
4 → 452
Calls
4 calls:
131.0ms
(/ (/ (/ (sqrt i) (sqrt 2.0)) 1) (* (* (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i)) (sqrt 2.0)) 2.0))
54.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i))
93.0ms
(* (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i)) (sqrt 2.0))
7.0ms
(/ (sqrt i) (sqrt 2.0))

series668.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(/ (/ (/ (sqrt i) (sqrt 2.0)) 1) (* (* (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i)) (sqrt 2.0)) 2.0))
103.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i))
158.0ms
(* (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (sqrt i)) (sqrt 2.0))
108.0ms
(/ (sqrt i) (sqrt 2.0))

simplify1.2s

Counts
464 → 464
Iterations
IterNodes
done5001
12378
0714

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma (pow i 6) 4.0 (* 1.0 (pow i 4)))
1.0ms
(fma 0.25 (* i i) (fma (pow i 6) 4.0 (* 1.0 (pow i 4))))

series228.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(fma (pow i 6) 4.0 (* 1.0 (pow i 4)))
67.0ms
(fma 0.25 (* i i) (fma (pow i 6) 4.0 (* 1.0 (pow i 4))))

simplify1.0s

Counts
26 → 26
Iterations
IterNodes
done5000
31712
2251
164
038

prune151.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample979.0ms

Algorithm
intervals
Results
602.0ms8000×body80valid
151.0ms8000×pre80true