Details

Time bar (total: 17.5s)

sample53.0ms

Algorithm
intervals
Results
31.0ms256×body80valid
8.0ms256×pre80true

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
43914
3700
2147
132
010

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1/4 (- 4 (/ 1.0 (* i i))))
0.3b
(/ 1.0 (* i i))

rewrite47.0ms

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:
33.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
12.0ms
(/ 1.0 (* i i))

series103.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
45.0ms
(/ 1.0 (* i i))

simplify1.0s

Counts
70 → 70
Iterations
IterNodes
32463
2754
1299
0141

prune561.0ms

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)))

rewrite142.0ms

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:
91.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
27.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
19.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series436.0ms

Counts
3 → 9
Calls
3 calls:
234.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
122.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
80.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.5s

Counts
190 → 190
Iterations
IterNodes
22125
1693
0252

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

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

rewrite536.0ms

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:
223.0ms
(+ (* (* 4.0 (* (* i i) (* i i))) (* i i)) (* 1.0 (* (* i i) (* i i))))
250.0ms
(* (* 4.0 (* (* i i) (* i i))) (* i i))
35.0ms
(* (* i i) (* i i))
23.0ms
(* (* i i) (* i i))

series371.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(+ (* (* 4.0 (* (* i i) (* i i))) (* i i)) (* 1.0 (* (* i i) (* i i))))
74.0ms
(* (* 4.0 (* (* i i) (* i i))) (* i i))
38.0ms
(* (* i i) (* i i))
56.0ms
(* (* i i) (* i i))

simplify3.9s

Counts
199 → 199
Iterations
IterNodes
36397
21273
1336
0124

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
216
116
013

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s8000×body80valid
204.0ms8000×pre80true