Details

Time bar (total: 14.0s)

sample57.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
9.0ms256×pre80true

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
43914
3700
2147
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
(/ 1.0 (* i i))
0.7b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite26.0ms

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:
6.0ms
(/ 1.0 (* i i))
18.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

series91.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1.0 (* i i))
60.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify856.0ms

Counts
70 → 70
Iterations
IterNodes
32602
2761
1299
0141

prune566.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

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

rewrite110.0ms

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:
67.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
25.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

series399.0ms

Counts
3 → 9
Calls
3 calls:
217.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
107.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
75.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.5s

Counts
190 → 190
Iterations
IterNodes
22148
1693
0252

prune1.8s

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
(* (* i i) 4.0)
0.1b
(* (* (* i i) (* i i)) (* (* i i) 4.0))
0.1b
(* (* i i) (* i i))
0.1b
(* (* i i) (* i i))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
300×pow1
103×pow-prod-down
102×add-cbrt-cube add-exp-log
73×prod-exp cbrt-unprod
72×pow-prod-up
44×pow-sqr
36×pow-plus
26×pow2
6×add-sqr-sqrt associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* *-commutative insert-posit16 add-log-exp
3×unswap-sqr
2×swap-sqr
Counts
4 → 204
Calls
4 calls:
25.0ms
(* (* i i) 4.0)
120.0ms
(* (* (* i i) (* i i)) (* (* i i) 4.0))
45.0ms
(* (* i i) (* i i))
51.0ms
(* (* i i) (* i i))

series211.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* i i) 4.0)
68.0ms
(* (* (* i i) (* i i)) (* (* i i) 4.0))
52.0ms
(* (* i i) (* i i))
41.0ms
(* (* i i) (* i i))

simplify1.5s

Counts
216 → 216
Iterations
IterNodes
32757
2850
1330
0114

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
216
116
013

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8000×body80valid
220.0ms8000×pre80true