Details

Time bar (total: 12.7s)

sample39.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
6.0ms256×pre80true

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5000
3773
2152
132
010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.6b
(/ 1.0 (* i i))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×times-frac
23×*-un-lft-identity
15×add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×difference-of-squares
7×associate-/r*
6×associate-/l*
4×distribute-lft-out--
3×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg associate-/r/ insert-posit16 div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 64
Calls
2 calls:
35.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
13.0ms
(/ 1.0 (* i i))

series137.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
39.0ms
(/ 1.0 (* i i))

simplify1.8s

Counts
70 → 70
Iterations
IterNodes
done5006
33074
2841
1306
0141

prune287.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (/ 0.00390625 (* (* i i) (* i i))) 1/16) (/ 0.015625 (* i i)))
0.1b
(/ 0.00390625 (* (* i i) (* i i)))
0.2b
(* (* i i) (* i i))
0.6b
(/ 0.015625 (* i i))

rewrite460.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
39×add-cbrt-cube add-exp-log
36×pow-prod-up
23×pow-prod-down
22×pow-sqr
18×pow-plus
17×prod-exp cbrt-unprod
13×pow2 *-un-lft-identity
9×add-log-exp
8×add-sqr-sqrt add-cube-cbrt
7×cbrt-undiv div-exp
6×times-frac associate-/l*
4×insert-posit16
3×sum-log distribute-lft-out
2×clear-num associate-/r* frac-2neg flip3-+ frac-add flip-+ div-inv
1×+-commutative associate-+l+ swap-sqr associate-*r* associate-*l* *-commutative unswap-sqr
Counts
4 → 132
Calls
4 calls:
391.0ms
(+ (+ (/ 0.00390625 (* (* i i) (* i i))) 1/16) (/ 0.015625 (* i i)))
38.0ms
(/ 0.00390625 (* (* i i) (* i i)))
22.0ms
(* (* i i) (* i i))
6.0ms
(/ 0.015625 (* i i))

series185.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (+ (/ 0.00390625 (* (* i i) (* i i))) 1/16) (/ 0.015625 (* i i)))
63.0ms
(/ 0.00390625 (* (* i i) (* i i)))
46.0ms
(* (* i i) (* i i))
28.0ms
(/ 0.015625 (* i i))

simplify1.4s

Counts
144 → 144
Iterations
IterNodes
done5000
22015
1484
0164

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 4.0 (* (* i i) (* i i))) (* i i)) (* 1.0 (* (* i i) (* i i))))
0.1b
(* (* 4.0 (* (* i i) (* i i))) (* i i))
0.2b
(* (* i i) (* i i))
0.2b
(* (* i i) (* i i))

rewrite591.0ms

Algorithm
rewrite-expression-head
Rules
282×pow1
90×pow-prod-down
84×add-cbrt-cube add-exp-log
72×pow-prod-up
60×prod-exp cbrt-unprod
44×pow-sqr
36×pow-plus
26×pow2
6×add-log-exp
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt insert-posit16
3×associate-*r* associate-*l* *-commutative
2×swap-sqr unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 187
Calls
4 calls:
273.0ms
(+ (* (* 4.0 (* (* i i) (* i i))) (* i i)) (* 1.0 (* (* i i) (* i i))))
255.0ms
(* (* 4.0 (* (* i i) (* i i))) (* i i))
27.0ms
(* (* i i) (* i i))
30.0ms
(* (* i i) (* i i))

series428.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(+ (* (* 4.0 (* (* i i) (* i i))) (* i i)) (* 1.0 (* (* i i) (* i i))))
103.0ms
(* (* 4.0 (* (* i i) (* i i))) (* i i))
71.0ms
(* (* i i) (* i i))
59.0ms
(* (* i i) (* i i))

simplify1.9s

Counts
199 → 199
Iterations
IterNodes
done5002
21363
1359
0124

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
257.0ms8000×pre80true