Details

Time bar (total: 20.7s)

sample48.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
8.0ms256×pre80true

simplify313.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
313.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize28.0ms

Local error

Found 3 expressions with local error:

15.6b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))
0.0b
(- (* 4 (* i i)) 1.0)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
8×pow1
7×prod-exp cbrt-unprod
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*l* prod-diff pow-prod-down insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ associate-/r/ flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac fma-neg diff-log associate-*r* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
Slowest
46.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
37.0ms
(- (* 4 (* i i)) 1.0)
27.0ms
(* 4 (* i i))

series215.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
72.0ms
(- (* 4 (* i i)) 1.0)
29.0ms
(* 4 (* i i))

simplify5.0s

Counts
38 → 76
Calls
38 calls:
Slowest
574.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
504.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
444.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
441.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
413.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))

prune546.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

15.6b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))
0.0b
(- (* 4 (* i i)) 1.0)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
8×pow1
7×prod-exp cbrt-unprod
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*l* prod-diff pow-prod-down insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ associate-/r/ flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac fma-neg diff-log associate-*r* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
Slowest
71.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
32.0ms
(- (* 4 (* i i)) 1.0)
26.0ms
(* 4 (* i i))

series240.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
115.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
88.0ms
(- (* 4 (* i i)) 1.0)
37.0ms
(* 4 (* i i))

simplify5.1s

Counts
38 → 76
Calls
38 calls:
Slowest
555.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
509.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
491.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
465.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
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)))

prune703.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
0.1b
(/ (/ 0.00390625 i) i)
0.0b
(+ 0.015625 (/ (/ 0.00390625 i) i))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
54×*-un-lft-identity
48×add-sqr-sqrt add-cube-cbrt
17×associate-/l*
13×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/r*
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u distribute-lft-out associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×+-commutative sum-log prod-exp cbrt-unprod
Counts
3 → 119
Calls
3 calls:
Slowest
60.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
12.0ms
(+ 0.015625 (/ (/ 0.00390625 i) i))
7.0ms
(/ (/ 0.00390625 i) i)

series239.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
126.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
79.0ms
(+ 0.015625 (/ (/ 0.00390625 i) i))
34.0ms
(/ (/ 0.00390625 i) i)

simplify5.0s

Counts
124 → 128
Calls
124 calls:
Slowest
312.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
271.0ms
(/ (* (* (/ 0.00390625 i) (/ 0.00390625 i)) (/ 0.00390625 i)) (* (* i i) i))
238.0ms
(+ (pow 0.015625 3) (pow (/ (/ 0.00390625 i) i) 3))
226.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) i) (* (* i i) i)))
213.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) (* i i)) (* i i)))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.5b

bsearch66.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s8000×body80valid
222.0ms8000×pre80true