Details

Time bar (total: 48.1s)

sample42.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify10.9s

Counts
1 → 1
Iterations
IterNodes
done5206
43638
3707
2150
131
010

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.7b

localize265.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i 2.0) (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))
13.1b
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite674.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
148×add-sqr-sqrt
100×add-cube-cbrt *-un-lft-identity
58×associate-*r*
28×add-exp-log add-cbrt-cube
27×difference-of-squares
13×associate-*l* associate-/l*
12×cbrt-undiv div-exp div-inv
6×prod-exp cbrt-unprod unswap-sqr
4×pow1 associate-/r* associate-/r/
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 187
Calls
2 calls:
414.0ms
(* (/ i 2.0) (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))
235.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series713.0ms

Counts
2 → 6
Calls
2 calls:
499.0ms
(* (/ i 2.0) (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)))
214.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify13.3s

Counts
193 → 193
Iterations
IterNodes
done5019
23838
11079
0332

prune2.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
193×add-sqr-sqrt
157×add-cube-cbrt *-un-lft-identity
49×add-exp-log add-cbrt-cube
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×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 → 273
Calls
3 calls:
41.0ms
(/ (/ i 2.0) (+ (sqrt 1.0) (* i 2.0)))
47.0ms
(/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0)))
279.0ms
(* (/ (/ i 2.0) (+ (sqrt 1.0) (* i 2.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

series846.0ms

Counts
3 → 9
Calls
3 calls:
213.0ms
(/ (/ i 2.0) (+ (sqrt 1.0) (* i 2.0)))
188.0ms
(/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0)))
444.0ms
(* (/ (/ i 2.0) (+ (sqrt 1.0) (* i 2.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

simplify2.9s

Counts
282 → 282
Iterations
IterNodes
done5002
11449
0436

prune4.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
110×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
58×add-exp-log add-cbrt-cube
45×associate-*r*
28×cbrt-undiv div-exp
14×associate-/l*
13×associate-*l*
12×prod-exp cbrt-unprod
11×div-inv
6×associate-/r* associate-/r/ unswap-sqr
5×pow1
4×associate-/l/
3×add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×flip3-- pow-prod-down *-commutative flip--
Counts
3 → 196
Calls
3 calls:
138.0ms
(* (/ i 2.0) (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))))
44.0ms
(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
76.0ms
(/ (* (/ i 2.0) (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))) (- (* 2.0 i) (sqrt 1.0)))

series955.0ms

Counts
3 → 9
Calls
3 calls:
172.0ms
(* (/ i 2.0) (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))))
200.0ms
(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
582.0ms
(/ (* (/ i 2.0) (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))) (- (* 2.0 i) (sqrt 1.0)))

simplify6.1s

Counts
205 → 205
Iterations
IterNodes
done5000
24246
11129
0352

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.2s

Algorithm
intervals
Results
782.0ms8000×body80valid
200.0ms8000×pre80true