Details

Time bar (total: 17.9s)

sample34.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
6.0ms256×pre80true

simplify273.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
273.0ms
(/ (/ (* (* 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: 16.8b

localize12.0ms

Local error

Found 2 expressions with local error:

16.8b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite50.0ms

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
36.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
13.0ms
(* 4 (* i i))

series121.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
92.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
29.0ms
(* 4 (* i i))

simplify4.2s

Counts
28 → 50
Calls
28 calls:
Slowest
541.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
477.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
466.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
421.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
384.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

16.2b
(/ i (- (* 4 (* i i)) 1.0))
0.1b
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
0.0b
(* 4 (* i i))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
26×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube add-exp-log
18×associate-*l*
14×associate-*r*
10×pow1
7×prod-exp cbrt-unprod
5×cbrt-undiv div-exp unswap-sqr
4×pow-prod-down associate-/r/
3×associate-/r* insert-posit16 div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip--
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/
Counts
3 → 103
Calls
3 calls:
Slowest
77.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
39.0ms
(/ i (- (* 4 (* i i)) 1.0))
17.0ms
(* 4 (* i i))

series223.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
98.0ms
(/ i (- (* 4 (* i i)) 1.0))
93.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
31.0ms
(* 4 (* i i))

simplify6.8s

Counts
92 → 112
Calls
92 calls:
Slowest
632.0ms
(* (* (* (/ i (- (* 4 (* i i)) 1.0)) (/ i (- (* 4 (* i i)) 1.0))) (/ i (- (* 4 (* i i)) 1.0))) (* (* (/ i 4) (/ i 4)) (/ i 4)))
406.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
381.0ms
(/ i (- (* (* 4 (* i i)) (* 4 (* i i))) (* 1.0 1.0)))
334.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))
325.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))

prune797.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 0.00390625 (* i i))
0.4b
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))

rewrite86.0ms

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-+
Counts
2 → 48
Calls
2 calls:
Slowest
75.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
11.0ms
(/ 0.00390625 (* i i))

series172.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
130.0ms
(/ (+ (/ 0.00390625 (* i i)) 0.015625) (* i i))
42.0ms
(/ 0.00390625 (* i i))

simplify2.5s

Counts
34 → 54
Calls
34 calls:
Slowest
358.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) i) (* (* i i) i)))
355.0ms
(/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* (* i i) (* i i)) (* i i)))
242.0ms
(+ (pow (/ 0.00390625 (* i i)) 3) (pow 0.015625 3))
234.0ms
(- (* (/ 0.00390625 (* i i)) (/ 0.00390625 (* i i))) (* 0.015625 0.015625))
199.0ms
(/ (* (* (+ (/ 0.00390625 (* i i)) 0.015625) (+ (/ 0.00390625 (* i i)) 0.015625)) (+ (/ 0.00390625 (* i i)) 0.015625)) (* (* (* i i) (* i i)) (* i i)))

prune348.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.8b

bsearch84.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8000×body80valid
207.0ms8000×pre80true