Details

Time bar (total: 14.7s)

sample52.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
8.0ms256×pre80true

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
43914
3700
2147
132
010

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* i i))
0.4b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite48.0ms

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:
12.0ms
(/ 1.0 (* i i))
32.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

series115.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 1.0 (* i i))
79.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify968.0ms

Counts
70 → 70
Iterations
IterNodes
32602
2761
1299
0141

prune592.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

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)))

rewrite113.0ms

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:
63.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
24.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
19.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

series482.0ms

Counts
3 → 9
Calls
3 calls:
263.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
115.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
104.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.6s

Counts
190 → 190
Iterations
IterNodes
22148
1693
0252

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* i i))
0.3b
(/ 1.0 (* i i))
0.4b
(/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
20.0b
(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt times-frac
28×*-un-lft-identity
26×add-cube-cbrt
21×add-cbrt-cube add-exp-log
18×associate-*l*
9×associate-/l*
7×difference-of-squares
6×pow1 cbrt-undiv associate-/r* div-exp
4×associate-*r* prod-exp associate-/r/ cbrt-unprod insert-posit16 div-inv add-log-exp
3×clear-num frac-2neg
2×frac-times flip3-+ flip3-- associate-*r/ flip-+ flip-- unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out
Counts
4 → 123
Calls
4 calls:
7.0ms
(/ 1.0 (* i i))
7.0ms
(/ 1.0 (* i i))
11.0ms
(/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
108.0ms
(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ 1.0 (* i i))
49.0ms
(/ 1.0 (* i i))
193.0ms
(/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))))
145.0ms
(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify1.7s

Counts
135 → 135
Iterations
IterNodes
22818
1682
0213

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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
216
116
013

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid
191.0ms8000×pre80true