Details

Time bar (total: 14.5s)

sample40.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
6.0ms256×pre80true

simplify311.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
311.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize21.0ms

Local error

Found 3 expressions with local error:

14.6b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(- (* 4 (* i i)) 1.0)
0.0b
(* 4 (* i i))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
8×pow1
7×prod-exp cbrt-unprod
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*l* prod-diff pow-prod-down insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ associate-/r/ flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac fma-neg diff-log associate-*r* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
Slowest
65.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
36.0ms
(- (* 4 (* i i)) 1.0)
20.0ms
(* 4 (* i i))

series213.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
105.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
61.0ms
(- (* 4 (* i i)) 1.0)
48.0ms
(* 4 (* i i))

simplify5.1s

Counts
38 → 76
Calls
38 calls:
Slowest
597.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
538.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
471.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
421.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
396.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune566.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
0.1b
(/ (/ 0.00390625 i) i)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
50×*-un-lft-identity
46×add-sqr-sqrt add-cube-cbrt
17×associate-/l*
12×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv div-exp
4×associate-/r*
3×associate-/l/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 101
Calls
2 calls:
Slowest
67.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
14.0ms
(/ (/ 0.00390625 i) i)

series166.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
138.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
28.0ms
(/ (/ 0.00390625 i) i)

simplify5.1s

Counts
117 → 107
Calls
117 calls:
Slowest
339.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
287.0ms
(/ (* (* (/ 0.00390625 i) (/ 0.00390625 i)) (/ 0.00390625 i)) (* (* i i) i))
252.0ms
(- (* 0.015625 0.015625) (* (/ (/ 0.00390625 i) i) (/ (/ 0.00390625 i) i)))
245.0ms
(+ (pow 0.015625 3) (pow (/ (/ 0.00390625 i) i) 3))
234.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (* 0.00390625 (/ 1 (pow i 4))))

prune787.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch64.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
283.0ms8000×pre80true