Details

Time bar (total: 26.4s)

sample48.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
8.0ms256×pre80true

simplify266.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
266.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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
Counts
2 → 48
Calls
2 calls:
Slowest
40.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
13.0ms
(* 4 (* i i))

series134.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
34.0ms
(* 4 (* i i))

simplify4.6s

Counts
28 → 54
Calls
28 calls:
Slowest
642.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
568.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
446.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
420.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
411.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune398.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

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))

rewrite105.0ms

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×expm1-log1p-u associate-*l* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-*l/ associate-/l/
1×flip3-- associate-*r* associate-/r/ *-commutative flip-- unswap-sqr
Counts
3 → 99
Calls
3 calls:
Slowest
47.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
28.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
27.0ms
(* 4 (* i i))

series366.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
206.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
133.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
27.0ms
(* 4 (* i i))

simplify12.1s

Counts
91 → 108
Calls
91 calls:
Slowest
684.0ms
(/ (* (cbrt i) (cbrt i)) (/ (- (* 4 (* i i)) 1.0) (sqrt i)))
563.0ms
(* (- (pow (* 4 (* i i)) 3) (pow 1.0 3)) 4)
468.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)) (* (* i i) i)))
428.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)) (* (* i i) i)))
392.0ms
(- (log i) (log (/ (* (- (* 4 (* i i)) 1.0) 4) i)))

prune818.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
0.1b
(/ (/ 0.00390625 i) i)

rewrite88.0ms

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-+
Counts
2 → 101
Calls
2 calls:
Slowest
65.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
20.0ms
(/ (/ 0.00390625 i) i)

series156.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
119.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
36.0ms
(/ (/ 0.00390625 i) i)

simplify4.7s

Counts
117 → 107
Calls
117 calls:
Slowest
339.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
248.0ms
(/ (* (* (/ 0.00390625 i) (/ 0.00390625 i)) (/ 0.00390625 i)) (* (* i i) i))
244.0ms
(+ (pow 0.015625 3) (pow (/ (/ 0.00390625 i) i) 3))
221.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) i) (* (* i i) i)))
218.0ms
(- (* 0.015625 0.015625) (* (/ (/ 0.00390625 i) i) (/ (/ 0.00390625 i) i)))

prune850.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

100% (0.0b remaining)

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

bsearch70.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
977.0ms8000×body80valid
272.0ms8000×pre80true