Details

Time bar (total: 44.7s)

sample58.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
9.0ms256×pre80true

simplify227.0ms

Calls
1 calls:
Slowest
227.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.8b

localize26.0ms

Local error

Found 2 expressions with local error:

15.2b
(/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2))
0.1b
(/ (/ i 2) (/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
69×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
44×div-inv
21×associate-/r*
9×add-cbrt-cube add-exp-log
7×associate-/r/ associate-/l*
4×cbrt-undiv div-exp
3×associate-/l/
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- div-sub flip--
Calls
2 calls:
Slowest
13.0ms
(/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2))
11.0ms
(/ (/ i 2) (/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2)))

series88.0ms

Calls
2 calls:
Slowest
56.0ms
(/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2))
31.0ms
(/ (/ i 2) (/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2)))

simplify30.9s

Calls
200 calls:
Slowest
737.0ms
(/ (cbrt (/ i 2)) (/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2)))
601.0ms
(/ (* (* 2 i) (* 2 i)) (/ i 2))
570.0ms
(/ (/ 1 2) (/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2)))
529.0ms
(/ (/ 1 2) (/ (- (* (* 2 i) (* 2 i)) 1.0) (/ i 2)))
457.0ms
(/ (/ 1 2) (/ (- (* (* 2 i) (* 2 i)) 1.0) (cbrt (/ i 2))))

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ i 2) (- (* 8 i) (/ 2.0 i)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×div-inv
4×associate-/l*
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 flip-- add-log-exp associate-/l/
Calls
1 calls:
Slowest
7.0ms
(/ (/ i 2) (- (* 8 i) (/ 2.0 i)))

series48.0ms

Calls
1 calls:
Slowest
48.0ms
(/ (/ i 2) (- (* 8 i) (/ 2.0 i)))

simplify2.3s

Calls
36 calls:
Slowest
579.0ms
(/ (* (* (/ i 2) (/ i 2)) (/ i 2)) (* (* (- (* 8 i) (/ 2.0 i)) (- (* 8 i) (/ 2.0 i))) (- (* 8 i) (/ 2.0 i))))
215.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
210.0ms
(+ (* (* 8 i) (* 8 i)) (+ (* (/ 2.0 i) (/ 2.0 i)) (* (* 8 i) (/ 2.0 i))))
112.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
111.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (- (* 8 i) (/ 2.0 i)) (/ i 2)))
0.1b
(/ (- (* 8 i) (/ 2.0 i)) (/ i 2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
21×associate-/r*
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×div-inv
7×add-exp-log
4×add-cbrt-cube
3×pow1 associate-/r/ associate-/l*
2×rec-exp clear-num frac-2neg div-exp insert-posit16 add-log-exp associate-/l/
1×cbrt-undiv flip3-- div-sub pow-flip flip-- inv-pow
Calls
2 calls:
Slowest
15.0ms
(/ (- (* 8 i) (/ 2.0 i)) (/ i 2))
6.0ms
(/ 1 (/ (- (* 8 i) (/ 2.0 i)) (/ i 2)))

series102.0ms

Calls
2 calls:
Slowest
67.0ms
(/ (- (* 8 i) (/ 2.0 i)) (/ i 2))
35.0ms
(/ 1 (/ (- (* 8 i) (/ 2.0 i)) (/ i 2)))

simplify4.2s

Calls
59 calls:
Slowest
290.0ms
(- (* (* 8 i) (* 8 i)) (* (/ 2.0 i) (/ 2.0 i)))
241.0ms
(- (pow (* 8 i) 3) (pow (/ 2.0 i) 3))
184.0ms
(- 16 (* 4.0 (/ 1 (pow i 2))))
180.0ms
(sqrt (/ (- (* 8 i) (/ 2.0 i)) (/ i 2)))
180.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))

prune549.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

15.8b
(/ (* i i) (- (/ (* i i) 1/4) 1.0))
0.0b
(/ (* i i) 1/4)
0.0b
(* (/ (* i i) (- (/ (* i i) 1/4) 1.0)) 1/4)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×associate-*l*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×times-frac
5×add-cbrt-cube add-exp-log
4×associate-/r/
3×pow1 associate-/r* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg flip3-- flip-- associate-/l*
1×cbrt-undiv div-exp associate-*l/ *-commutative
Calls
3 calls:
Slowest
13.0ms
(* (/ (* i i) (- (/ (* i i) 1/4) 1.0)) 1/4)
8.0ms
(/ (* i i) (- (/ (* i i) 1/4) 1.0))
3.0ms
(/ (* i i) 1/4)

series88.0ms

Calls
3 calls:
Slowest
42.0ms
(/ (* i i) (- (/ (* i i) 1/4) 1.0))
32.0ms
(* (/ (* i i) (- (/ (* i i) 1/4) 1.0)) 1/4)
13.0ms
(/ (* i i) 1/4)

simplify2.3s

Calls
31 calls:
Slowest
397.0ms
(/ (* i i) (- (* (/ (* i i) 1/4) (/ (* i i) 1/4)) (* 1.0 1.0)))
232.0ms
(+ (* (/ (* i i) 1/4) (/ (* i i) 1/4)) (+ (* 1.0 1.0) (* (/ (* i i) 1/4) 1.0)))
187.0ms
(/ (* i i) (- (pow (/ (* i i) 1/4) 3) (pow 1.0 3)))
171.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
163.0ms
(- (+ (* 1.0 (pow i 2)) (+ (* 4.0 (pow i 4)) (* 16.0 (pow i 6)))))

prune509.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
244.0ms8000×pre80true