Details

Time bar (total: 11.3s)

sample59.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
9.0ms256×pre80true

simplify375.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
375.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize14.0ms

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))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
8×pow1
7×prod-exp cbrt-unprod
5×add-sqr-sqrt add-log-exp
4×cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
3×associate-*l* pow-prod-down insert-posit16
2×flip3-- associate-*l/ associate-/r/ flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac diff-log associate-*r* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
Slowest
55.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
26.0ms
(- (* 4 (* i i)) 1.0)
24.0ms
(* 4 (* i i))

series248.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
118.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
90.0ms
(- (* 4 (* i i)) 1.0)
41.0ms
(* 4 (* i i))

simplify5.1s

Counts
32 → 66
Calls
32 calls:
Slowest
601.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
558.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
511.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
495.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
350.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune554.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
12×add-cbrt-cube add-exp-log
10×*-un-lft-identity
7×times-frac associate-/l*
6×add-sqr-sqrt add-cube-cbrt
4×cbrt-undiv div-exp
2×pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv distribute-lft-out add-log-exp associate-/l/
1×flip3-+ flip-+
Counts
2 → 48
Calls
2 calls:
Slowest
67.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
7.0ms
(/ 0.00390625 (* i i))

series177.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
140.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
37.0ms
(/ 0.00390625 (* i i))

simplify2.8s

Counts
34 → 54
Calls
34 calls:
Slowest
416.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) (* i i)) (* i i)))
408.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) i) (* (* i i) i)))
284.0ms
(- (* (/ 0.00390625 (* i i)) (/ 0.00390625 (* i i))) (* 0.015625 0.015625))
248.0ms
(+ (pow (/ 0.00390625 (* i i)) 3) (pow 0.015625 3))
205.0ms
(/ (* (* (+ (/ 0.00390625 (* i i)) 0.015625) (+ (/ 0.00390625 (* i i)) 0.015625)) (+ (/ 0.00390625 (* i i)) 0.015625)) (* (* (* i i) i) (* (* i i) i)))

prune363.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

100% (0.0b remaining)

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

bsearch50.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
930.0ms8000×body80valid
298.0ms8000×pre80true