Details

Time bar (total: 16.5s)

sample32.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
6.0ms256×pre80true

simplify225.0ms

Calls
1 calls:
Slowest
224.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize28.0ms

Local error

Found 1 expressions with local error:

15.8b
(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt associate-/l/
2×cbrt-undiv div-exp associate-/r/
1×expm1-log1p-u frac-times pow1 clear-num frac-2neg flip3-- associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv flip-- associate-/l* add-log-exp
Calls
1 calls:
Slowest
13.0ms
(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

series39.0ms

Calls
1 calls:
Slowest
39.0ms
(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

simplify2.5s

Calls
22 calls:
Slowest
401.0ms
(- (+ (log (/ i 2)) (log (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0)))
319.0ms
(- (log (* (/ i 2) (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0)))
283.0ms
(/ (* (* (* (/ i 2) (/ i 2)) (/ i 2)) (* (* (/ i 2) (/ i 2)) (/ i 2))) (* (* (- (* (* 2 i) (* 2 i)) 1.0) (- (* (* 2 i) (* 2 i)) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0)))
279.0ms
(+ (* (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i))) (+ (* 1.0 1.0) (* (* (* 2 i) (* 2 i)) 1.0)))
250.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*r*
10×div-inv
9×add-cbrt-cube add-exp-log
4×pow1 associate-*l* associate-/r/ associate-/l*
3×associate-/r*
2×expm1-log1p-u cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Calls
2 calls:
Slowest
16.0ms
(* (/ i 2) (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)))
9.0ms
(/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0))

series71.0ms

Calls
2 calls:
Slowest
37.0ms
(* (/ i 2) (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)))
34.0ms
(/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0))

simplify6.8s

Calls
68 calls:
Slowest
436.0ms
(+ (log (/ i 2)) (- (log (/ i 2)) (log (- (* (* 2 i) (* 2 i)) 1.0))))
419.0ms
(- (+ (* 0.5 i) (+ (* 2.0 (pow i 3)) (* 8.0 (pow i 5)))))
396.0ms
(* (* (* (/ i 2) (/ i 2)) (/ i 2)) (/ (* (* (/ i 2) (/ i 2)) (/ i 2)) (* (* (- (* (* 2 i) (* 2 i)) 1.0) (- (* (* 2 i) (* 2 i)) 1.0)) (- (* (* 2 i) (* 2 i)) 1.0))))
325.0ms
(+ (* (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i))) (+ (* 1.0 1.0) (* (* (* 2 i) (* 2 i)) 1.0)))
265.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))

prune639.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ i (fma (/ 1.0 i) -2 (* 8 i)))
0.0b
(/ (/ i (fma (/ 1.0 i) -2 (* 8 i))) 2)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt associate-/l*
3×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Calls
2 calls:
Slowest
10.0ms
(/ (/ i (fma (/ 1.0 i) -2 (* 8 i))) 2)
2.0ms
(/ i (fma (/ 1.0 i) -2 (* 8 i)))

series60.0ms

Calls
2 calls:
Slowest
30.0ms
(/ i (fma (/ 1.0 i) -2 (* 8 i)))
30.0ms
(/ (/ i (fma (/ 1.0 i) -2 (* 8 i))) 2)

simplify1.2s

Calls
11 calls:
Slowest
295.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
250.0ms
(- (+ (* 0.5 (pow i 2)) (+ (* 2.0 (pow i 4)) (* 8.0 (pow i 6)))))
137.0ms
(+ (* 0.03125 (/ 1 (pow i 2))) (+ 1/8 (* 0.0078125 (/ 1 (pow i 4)))))
134.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
100.0ms
(+ (* 0.03125 (/ 1 (pow i 2))) (+ 1/8 (* 0.0078125 (/ 1 (pow i 4)))))

prune351.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (/ (fma (/ 1.0 i) -2 (* 8 i)) i))
0.1b
(/ (fma (/ 1.0 i) -2 (* 8 i)) i)
0.0b
(/ (/ 1 (/ (fma (/ 1.0 i) -2 (* 8 i)) i)) 2)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l*
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×div-inv
4×pow1 associate-/r* add-exp-log
3×expm1-log1p-u clear-num frac-2neg add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×associate-/r/
1×rec-exp pow-flip inv-pow associate-/l/
Calls
3 calls:
Slowest
7.0ms
(/ (/ 1 (/ (fma (/ 1.0 i) -2 (* 8 i)) i)) 2)
4.0ms
(/ (fma (/ 1.0 i) -2 (* 8 i)) i)
1.0ms
(/ 1 (/ (fma (/ 1.0 i) -2 (* 8 i)) i))

series117.0ms

Calls
3 calls:
Slowest
47.0ms
(/ (fma (/ 1.0 i) -2 (* 8 i)) i)
38.0ms
(/ 1 (/ (fma (/ 1.0 i) -2 (* 8 i)) i))
32.0ms
(/ (/ 1 (/ (fma (/ 1.0 i) -2 (* 8 i)) i)) 2)

simplify1.9s

Calls
19 calls:
Slowest
282.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
253.0ms
(- (+ (* 0.5 (pow i 2)) (+ (* 2.0 (pow i 4)) (* 8.0 (pow i 6)))))
184.0ms
(- 8 (* 2.0 (/ 1 (pow i 2))))
163.0ms
(- 8 (* 2.0 (/ 1 (pow i 2))))
156.0ms
(+ (* 0.03125 (/ 1 (pow i 2))) (+ 1/8 (* 0.0078125 (/ 1 (pow i 4)))))

prune461.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s8000×body80valid
234.0ms8000×pre80true