Details

Time bar (total: 15.1s)

sample40.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
6.0ms256×pre80true

simplify263.0ms

Calls
1 calls:
Slowest
262.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.6b

localize31.0ms

Local error

Found 1 expressions with local error:

14.6b
(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

rewrite33.0ms

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
32.0ms
(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

series46.0ms

Calls
1 calls:
Slowest
46.0ms
(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

simplify2.6s

Calls
22 calls:
Slowest
399.0ms
(- (+ (log (/ i 2)) (log (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0)))
356.0ms
(- (log (* (/ i 2) (/ i 2))) (log (- (* (* 2 i) (* 2 i)) 1.0)))
284.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
262.0ms
(+ (* (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i))) (+ (* 1.0 1.0) (* (* (* 2 i) (* 2 i)) 1.0)))
251.0ms
(/ (* (* (* (/ 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)))

prune222.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

14.0b
(/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0))
0.1b
(* (/ i 2) (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)))

rewrite36.0ms

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
23.0ms
(* (/ i 2) (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)))
11.0ms
(/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0))

series64.0ms

Calls
2 calls:
Slowest
34.0ms
(* (/ i 2) (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)))
29.0ms
(/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0))

simplify6.9s

Calls
68 calls:
Slowest
474.0ms
(+ (log (/ i 2)) (- (log (/ i 2)) (log (- (* (* 2 i) (* 2 i)) 1.0))))
375.0ms
(* (* (* (/ 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))))
370.0ms
(- (+ (* 0.5 i) (+ (* 2.0 (pow i 3)) (* 8.0 (pow i 5)))))
266.0ms
(+ (* (* (* 2 i) (* 2 i)) (* (* 2 i) (* 2 i))) (+ (* 1.0 1.0) (* (* (* 2 i) (* 2 i)) 1.0)))
248.0ms
(* i (/ (/ i 2) (- (* (* 2 i) (* 2 i)) 1.0)))

prune590.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 0.00390625 (pow i 4))
0.1b
(/ (/ 0.015625 i) i)
0.0b
(+ (+ 1/16 (/ (/ 0.015625 i) i)) (/ 0.00390625 (pow i 4)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
6×add-sqr-sqrt add-cube-cbrt
5×add-log-exp
4×associate-/l*
3×expm1-log1p-u pow1 associate-/r* fma-def add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u div-inv
2×clear-num frac-2neg flip3-+ frac-add flip-+
1×+-commutative associate-+l+ sum-log distribute-lft-out associate-/l/
Calls
3 calls:
Slowest
8.0ms
(+ (+ 1/16 (/ (/ 0.015625 i) i)) (/ 0.00390625 (pow i 4)))
3.0ms
(/ (/ 0.015625 i) i)
1.0ms
(/ 0.00390625 (pow i 4))

series72.0ms

Calls
3 calls:
Slowest
29.0ms
(+ (+ 1/16 (/ (/ 0.015625 i) i)) (/ 0.00390625 (pow i 4)))
25.0ms
(/ 0.00390625 (pow i 4))
18.0ms
(/ (/ 0.015625 i) i)

simplify2.1s

Calls
22 calls:
Slowest
645.0ms
(+ (* (- (* 1/16 1/16) (* (/ (/ 0.015625 i) i) (/ (/ 0.015625 i) i))) (pow i 4)) (* (- 1/16 (/ (/ 0.015625 i) i)) 0.00390625))
352.0ms
(+ (* (+ (pow 1/16 3) (pow (/ (/ 0.015625 i) i) 3)) (pow i 4)) (* (+ (* 1/16 1/16) (- (* (/ (/ 0.015625 i) i) (/ (/ 0.015625 i) i)) (* 1/16 (/ (/ 0.015625 i) i)))) 0.00390625))
343.0ms
(* (+ (* 1/16 1/16) (- (* (/ (/ 0.015625 i) i) (/ (/ 0.015625 i) i)) (* 1/16 (/ (/ 0.015625 i) i)))) (pow i 4))
161.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
136.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))

prune595.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch57.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
968.0ms8000×body80valid
274.0ms8000×pre80true