Details

Time bar (total: 22.3s)

sample35.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
6.0ms256×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))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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
45.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
21.0ms
(* 4 (* i i))

series185.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
132.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
53.0ms
(* 4 (* i i))

simplify4.4s

Counts
28 → 54
Calls
28 calls:
Slowest
579.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
538.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
456.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
387.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
381.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune390.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite145.0ms

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×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
2×flip3-- *-commutative flip--
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/
Counts
3 → 109
Calls
3 calls:
Slowest
102.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
27.0ms
(/ i (- (* 4 (* i i)) 1.0))
14.0ms
(* 4 (* i i))

series264.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
102.0ms
(/ i (- (* 4 (* i i)) 1.0))
47.0ms
(* 4 (* i i))

simplify8.3s

Counts
92 → 118
Calls
92 calls:
Slowest
685.0ms
(* (* (* (/ i (- (* 4 (* i i)) 1.0)) (/ i (- (* 4 (* i i)) 1.0))) (/ i (- (* 4 (* i i)) 1.0))) (* (* (/ i 4) (/ i 4)) (/ i 4)))
651.0ms
(/ (* (* i i) i) (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)))
398.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))
367.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
348.0ms
(/ i (- (pow (* 4 (* i i)) 3) (pow 1.0 3)))

prune944.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
0.2b
(/ (/ 0.00390625 i) i)

rewrite47.0ms

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
34.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
11.0ms
(/ (/ 0.00390625 i) i)

series149.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
121.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
28.0ms
(/ (/ 0.00390625 i) i)

simplify4.9s

Counts
117 → 107
Calls
117 calls:
Slowest
360.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
272.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) i) (* (* i i) i)))
246.0ms
(/ (* (* (/ 0.00390625 i) (/ 0.00390625 i)) (/ 0.00390625 i)) (* (* i i) i))
235.0ms
(+ (pow 0.015625 3) (pow (/ (/ 0.00390625 i) i) 3))
214.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) (* i i)) (* i i)))

prune766.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

100% (0.0b remaining)

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

bsearch76.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
900.0ms8000×body80valid
250.0ms8000×pre80true