Details

Time bar (total: 15.6s)

sample46.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
13.0ms256×pre80true

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: done (1.8s)

IterNodesCost
010283
132283
2169283
31029283
done5000243

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
15.7b
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
148×add-sqr-sqrt
100×*-un-lft-identity add-cube-cbrt
58×associate-*l*
28×add-cbrt-cube add-exp-log
27×difference-of-squares
13×associate-*r* associate-/l*
12×cbrt-undiv div-exp div-inv
6×prod-exp cbrt-unprod unswap-sqr
4×pow1 associate-/r* associate-/r/
2×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 191
Calls
2 calls:
135.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
58.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series256.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
124.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify1.4s

Counts
197 → 197
Iterations

Useful iterations: done (1.4s)

IterNodesCost
033584575
1111480048
done500077742

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
58×add-cbrt-cube add-exp-log
45×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
24×cbrt-undiv div-exp
19×associate-*r*
16×prod-exp cbrt-unprod associate-/l*
15×associate-*l*
8×associate-/r/
7×div-inv
5×pow1 associate-*l/
4×associate-/r*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip-- unswap-sqr
1×frac-times pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 151
Calls
3 calls:
23.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
25.0ms
(/ (/ i 2.0) (* (- (* 2.0 i) (sqrt 1.0)) 2.0))
142.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (* (- (* 2.0 i) (sqrt 1.0)) 2.0)))

series576.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
140.0ms
(/ (/ i 2.0) (* (- (* 2.0 i) (sqrt 1.0)) 2.0))
294.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (* (- (* 2.0 i) (sqrt 1.0)) 2.0)))

simplify1.6s

Counts
160 → 160
Iterations

Useful iterations: done (1.6s)

IterNodesCost
029270748
190160556
done500057908

prune955.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ i (+ (* 2.0 i) (sqrt 1.0)))
0.0b
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (/ (* (- (* 2.0 i) (sqrt 1.0)) 2.0) (/ i 2.0))))
0.5b
(/ 1 (/ (* (- (* 2.0 i) (sqrt 1.0)) 2.0) (/ i 2.0)))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
287×times-frac
187×add-exp-log
129×add-sqr-sqrt
114×*-un-lft-identity
112×add-cube-cbrt
101×div-exp
79×add-cbrt-cube
59×associate-*r*
50×prod-exp
40×cbrt-undiv
21×associate-/r*
18×cbrt-unprod div-inv
15×rec-exp 1-exp associate-*l*
13×associate-/r/
6×pow1 associate-/l* unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 280
Calls
3 calls:
24.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
179.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (/ (* (- (* 2.0 i) (sqrt 1.0)) 2.0) (/ i 2.0))))
38.0ms
(/ 1 (/ (* (- (* 2.0 i) (sqrt 1.0)) 2.0) (/ i 2.0)))

series568.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
287.0ms
(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (/ (* (- (* 2.0 i) (sqrt 1.0)) 2.0) (/ i 2.0))))
147.0ms
(/ 1 (/ (* (- (* 2.0 i) (sqrt 1.0)) 2.0) (/ i 2.0)))

simplify2.0s

Counts
289 → 289
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0477148451
11643121436
done5001115225

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

16.3b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite86.0ms

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:
85.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify2.1s

Counts
39 → 39
Iterations

Useful iterations: 2 (717.0ms)

IterNodesCost
010915105
134212766
2240411843
done500111843

prune111.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014404
120404
done20404

end0.0ms

sample905.0ms

Algorithm
intervals
Results
557.0ms8000×body80valid
178.0ms8000×pre80true