Details

Time bar (total: 12.7s)

sample62.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
10.0ms256×pre80true

simplify326.0ms

Calls
1 calls:
Slowest
325.0ms
(/ (/ (* (* 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

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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×expm1-log1p-u associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u 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
32.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
13.0ms
(* 4 (* i i))

series151.0ms

Calls
2 calls:
Slowest
101.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
50.0ms
(* 4 (* i i))

simplify4.1s

Calls
28 calls:
Slowest
624.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
482.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
416.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
372.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
327.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune418.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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-+
Calls
2 calls:
Slowest
57.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
10.0ms
(/ (/ 0.00390625 i) i)

series139.0ms

Calls
2 calls:
Slowest
107.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
32.0ms
(/ (/ 0.00390625 i) i)

simplify4.8s

Calls
117 calls:
Slowest
306.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
283.0ms
(+ (pow 0.015625 3) (pow (/ (/ 0.00390625 i) i) 3))
250.0ms
(/ (* (* (/ 0.00390625 i) (/ 0.00390625 i)) (/ 0.00390625 i)) (* (* i i) i))
243.0ms
(- (* 0.015625 0.015625) (* (/ (/ 0.00390625 i) i) (/ (/ 0.00390625 i) i)))
207.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) (* i i)) (* i i)))

prune732.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

100% (0.0b remaining)

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

bsearch67.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
250.0ms8000×pre80true