Details

Time bar (total: 10.3s)

sample52.0ms

Algorithm
intervals
Results
31.0ms256×body80valid
9.0ms256×pre80true

simplify296.0ms

Calls
1 calls:
Slowest
296.0ms
(/ (/ (* (* 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: 15.1b

localize32.0ms

Local error

Found 2 expressions with local error:

15.1b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite59.0ms

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
Calls
2 calls:
Slowest
45.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
14.0ms
(* 4 (* i i))

series151.0ms

Calls
2 calls:
Slowest
109.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
42.0ms
(* 4 (* i i))

simplify4.7s

Calls
28 calls:
Slowest
602.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
505.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
493.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
464.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
418.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune382.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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-+
Calls
2 calls:
Slowest
71.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
9.0ms
(/ 0.00390625 (* i i))

series143.0ms

Calls
2 calls:
Slowest
106.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
37.0ms
(/ 0.00390625 (* i i))

simplify2.6s

Calls
34 calls:
Slowest
407.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) (* i i)) (* i i)))
361.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) i) (* (* i i) i)))
254.0ms
(- (* (/ 0.00390625 (* i i)) (/ 0.00390625 (* i i))) (* 0.015625 0.015625))
218.0ms
(+ (pow (/ 0.00390625 (* i i)) 3) (pow 0.015625 3))
213.0ms
(/ (* (* (+ (/ 0.00390625 (* i i)) 0.015625) (+ (/ 0.00390625 (* i i)) 0.015625)) (+ (/ 0.00390625 (* i i)) 0.015625)) (* (* (* i i) (* i i)) (* i i)))

prune355.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch66.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
989.0ms8000×body80valid
206.0ms8000×pre80true