Details

Time bar (total: 22.8s)

sample34.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify337.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
337.0ms
(/ (/ (* (* 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: 15.1b

localize32.0ms

Local error

Found 2 expressions with local error:

15.1b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite77.0ms

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
48.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
27.0ms
(* 4 (* i i))

series171.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
134.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
37.0ms
(* 4 (* i i))

simplify5.1s

Counts
28 → 50
Calls
28 calls:
Slowest
1.1s
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
581.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
499.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
422.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
404.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune393.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

14.5b
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
0.1b
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
0.0b
(* 4 (* i i))

rewrite103.0ms

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×associate-*l* pow-prod-down insert-posit16 add-log-exp
2×clear-num frac-2neg associate-*l/ associate-/l/
1×flip3-- associate-*r* associate-/r/ *-commutative flip-- unswap-sqr
Counts
3 → 93
Calls
3 calls:
Slowest
43.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
29.0ms
(* 4 (* i i))
28.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))

series315.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
172.0ms
(/ (* (- (* 4 (* i i)) 1.0) 4) i)
109.0ms
(/ i (/ (* (- (* 4 (* i i)) 1.0) 4) i))
34.0ms
(* 4 (* i i))

simplify11.3s

Counts
91 → 102
Calls
91 calls:
Slowest
524.0ms
(/ (* (cbrt i) (cbrt i)) (/ (- (* 4 (* i i)) 1.0) (* (cbrt i) (cbrt i))))
451.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
435.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)) (* (* i i) i)))
422.0ms
(/ (* (* i i) i) (/ (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)) (* (* i i) i)))
375.0ms
(* (- (pow (* 4 (* i i)) 3) (pow 1.0 3)) 4)

prune737.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ i (- (* 16 i) (/ 4.0 i)))
0.0b
(- (* 16 i) (/ 4.0 i))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 43
Calls
2 calls:
Slowest
27.0ms
(/ i (- (* 16 i) (/ 4.0 i)))
12.0ms
(- (* 16 i) (/ 4.0 i))

series191.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(/ i (- (* 16 i) (/ 4.0 i)))
77.0ms
(- (* 16 i) (/ 4.0 i))

simplify2.2s

Counts
34 → 49
Calls
34 calls:
Slowest
478.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
246.0ms
(/ (* (* i i) i) (* (* (- (* 16 i) (/ 4.0 i)) (- (* 16 i) (/ 4.0 i))) (- (* 16 i) (/ 4.0 i))))
213.0ms
(+ (* (* 16 i) (* 16 i)) (+ (* (/ 4.0 i) (/ 4.0 i)) (* (* 16 i) (/ 4.0 i))))
209.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
131.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))

prune324.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
948.0ms8000×body80valid
257.0ms8000×pre80true