Details

Time bar (total: 19.1s)

sample66.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
15.0ms256×pre80true

simplify284.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
284.0ms
(/ (/ (* (* 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: 18.5b

localize25.0ms

Local error

Found 2 expressions with local error:

18.5b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite62.0ms

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
35.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
26.0ms
(* 4 (* i i))

series202.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
153.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
50.0ms
(* 4 (* i i))

simplify7.5s

Counts
52 → 50
Calls
52 calls:
Slowest
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)))
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)))
458.0ms
(* (* (* 4 (* i i)) (* 4 (* i i))) (* 4 (* i i)))
424.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
412.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune317.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1.0 (* i i))
0.4b
(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))
0.0b
(- 4 (/ 1.0 (* i i)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
13×add-cbrt-cube
11×add-sqr-sqrt
9×*-un-lft-identity
7×times-frac add-cube-cbrt
6×pow1 div-exp associate-/l*
5×add-log-exp
4×cbrt-undiv prod-exp
3×insert-posit16
2×rec-exp clear-num associate-/r* frac-2neg flip3-- 1-exp associate-*l/ associate-/r/ cbrt-unprod div-inv pow-flip flip-- difference-of-squares
1×sub-neg diff-log pow-prod-down distribute-lft-out-- inv-pow
Counts
3 → 69
Calls
3 calls:
Slowest
23.0ms
(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))
13.0ms
(- 4 (/ 1.0 (* i i)))
6.0ms
(/ 1.0 (* i i))

series189.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
81.0ms
(- 4 (/ 1.0 (* i i)))
65.0ms
(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))
43.0ms
(/ 1.0 (* i i))

simplify8.1s

Counts
89 → 78
Calls
89 calls:
Slowest
541.0ms
(/ 1 (* (- (pow 4 3) (pow (/ 1.0 (* i i)) 3)) 4))
393.0ms
(/ (* (* 1 1) 1) (* (* (* (- 4 (/ 1.0 (* i i))) (- 4 (/ 1.0 (* i i)))) (- 4 (/ 1.0 (* i i)))) (* (* 4 4) 4)))
390.0ms
(- (pow 4 3) (pow (/ 1.0 (* i i)) 3))
389.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) (* i i)) (* i i)))
335.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) i) (* (* i i) i)))

prune538.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s8000×body80valid
224.0ms8000×pre80true