Details

Time bar (total: 22.7s)

sample44.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
7.0ms256×pre80true

simplify321.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
321.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize31.0ms

Local error

Found 2 expressions with local error:

19.9b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
7×pow1 prod-exp cbrt-unprod
4×add-sqr-sqrt cbrt-undiv div-exp
3×*-un-lft-identity associate-*l* pow-prod-down add-cube-cbrt
2×associate-*l/ associate-/r/ insert-posit16 add-log-exp
1×clear-num associate-/r* frac-2neg times-frac flip3-- associate-*r* *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
2 → 44
Calls
2 calls:
Slowest
69.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
17.0ms
(* 4 (* i i))

series171.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
119.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
52.0ms
(* 4 (* i i))

simplify4.4s

Counts
28 → 50
Calls
28 calls:
Slowest
559.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
465.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
404.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
402.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
386.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

19.0b
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
0.3b
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
0.0b
(* 4 (* i i))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
23×add-sqr-sqrt
22×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-/r*
8×pow1
7×cbrt-undiv div-exp
6×div-inv
5×prod-exp cbrt-unprod
4×associate-/l*
3×associate-*l* pow-prod-down insert-posit16 add-log-exp
2×clear-num frac-2neg associate-*l/ associate-/l/
1×flip3-- associate-*r* associate-/r/ *-commutative flip-- unswap-sqr
Counts
3 → 93
Calls
3 calls:
Slowest
38.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
12.0ms
(* 4 (* i i))
12.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))

series367.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
196.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
132.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
39.0ms
(* 4 (* i i))

simplify11.0s

Counts
91 → 102
Calls
91 calls:
Slowest
466.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)) (* (* i i) i)))
443.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
433.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)) (* (* i i) i)))
429.0ms
(/ (* (cbrt i) (cbrt i)) (/ (- (* 4 (* i i)) 1.0) (* (cbrt i) (cbrt i))))
422.0ms
(* (- (pow (* 4 (* i i)) 3) (pow 1.0 3)) 4)

prune742.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
0.4b
(/ 0.00390625 (* i i))

rewrite50.0ms

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
44.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
6.0ms
(/ 0.00390625 (* i i))

series131.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
93.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
39.0ms
(/ 0.00390625 (* i i))

simplify2.7s

Counts
34 → 54
Calls
34 calls:
Slowest
380.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) (* i i)) (* i i)))
362.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) i) (* (* i i) i)))
288.0ms
(- (* (/ 0.00390625 (* i i)) (/ 0.00390625 (* i i))) (* 0.015625 0.015625))
223.0ms
(+ (pow (/ 0.00390625 (* i i)) 3) (pow 0.015625 3))
203.0ms
(/ (* (* (+ (/ 0.00390625 (* i i)) 0.015625) (+ (/ 0.00390625 (* i i)) 0.015625)) (+ (/ 0.00390625 (* i i)) 0.015625)) (* (* (* i i) i) (* (* i i) i)))

prune399.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.9b

bsearch68.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
974.0ms8000×body80valid
608.0ms8000×pre80true