Details

Time bar (total: 12.8s)

sample46.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
7.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5001
31000
2170
133
010

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 68
Calls
2 calls:
18.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
8.0ms
(/ 1.0 (* i i))

series89.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
33.0ms
(/ 1.0 (* i i))

simplify826.0ms

Counts
74 → 74
Iterations
IterNodes
done5000
21302
1328
0145

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))

rewrite154.0ms

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×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u 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 → 187
Calls
3 calls:
102.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
16.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
28.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series423.0ms

Counts
3 → 9
Calls
3 calls:
229.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
108.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
86.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify2.2s

Counts
196 → 196
Iterations
IterNodes
done5001
24268
1739
0258

prune731.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* i (* i i))
0.1b
(* i (* i i))
0.1b
(* (* i (* i i)) (* i (* i i)))
0.1b
(* (* i i) (* i i))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
403×pow1
162×pow-prod-up
102×pow-prod-down
62×add-cbrt-cube add-exp-log
54×pow-sqr
41×pow-plus prod-exp cbrt-unprod
30×pow2
16×cube-unmult
8×add-sqr-sqrt associate-*l*
6×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u associate-*r* *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×swap-sqr
Counts
4 → 222
Calls
4 calls:
18.0ms
(* i (* i i))
18.0ms
(* i (* i i))
86.0ms
(* (* i (* i i)) (* i (* i i)))
47.0ms
(* (* i i) (* i i))

series200.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* i (* i i))
41.0ms
(* i (* i i))
59.0ms
(* (* i (* i i)) (* i (* i i)))
58.0ms
(* (* i i) (* i i))

simplify3.6s

Counts
234 → 234
Iterations
IterNodes
done5001
22714
1409
0122

prune431.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done22
322
220
118
013

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
278.0ms8000×pre80true