Details

Time bar (total: 13.0s)

sample34.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
6.0ms256×pre80true

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5000
3980
2165
132
010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.9b
(/ 1.0 (* i i))

rewrite23.0ms

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:
14.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
8.0ms
(/ 1.0 (* i i))

series109.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
42.0ms
(/ 1.0 (* i i))

simplify842.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
21302
1316
0141

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
0.1b
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
178×add-sqr-sqrt
119×times-frac
79×*-un-lft-identity
49×add-cube-cbrt
42×difference-of-squares
36×associate-*r*
35×sqrt-prod
31×add-exp-log
19×add-cbrt-cube
18×associate-*l*
14×associate-/r*
11×div-exp
8×prod-exp associate-/r/
7×distribute-lft-out distribute-lft-out--
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×cbrt-unprod div-inv
3×rec-exp 1-exp insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 181
Calls
3 calls:
54.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
19.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
20.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series329.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
95.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
73.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.7s

Counts
190 → 190
Iterations
IterNodes
done5000
23886
1720
0252

prune623.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* i i) (* i i)) (* i i))
0.1b
(* (* i i) (* i i))
0.1b
(* (* i i) (* i i))
0.2b
(* (* i i) (- 0.25))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
896×pow1
378×pow-prod-up
193×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
74×add-cbrt-cube add-exp-log
50×prod-exp cbrt-unprod
13×associate-*r*
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
4×associate-*l* *-commutative insert-posit16 add-log-exp unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in
2×swap-sqr
1×neg-mul-1 pow3 distribute-rgt-neg-out
Counts
4 → 365
Calls
4 calls:
104.0ms
(* (* (* i i) (* i i)) (* i i))
35.0ms
(* (* i i) (* i i))
33.0ms
(* (* i i) (* i i))
27.0ms
(* (* i i) (- 0.25))

series191.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (* (* i i) (* i i)) (* i i))
43.0ms
(* (* i i) (* i i))
50.0ms
(* (* i i) (* i i))
29.0ms
(* (* i i) (- 0.25))

simplify5.4s

Counts
377 → 377
Iterations
IterNodes
done5001
24196
1551
0155

prune412.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
322
220
118
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
927.0ms8000×body80valid
274.0ms8000×pre80true