Details

Time bar (total: 3.2m)

sample38.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
6.0ms256×pre80true

simplify286.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
286.0ms
(/ (/ (* (* 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: 13.1b

localize14.0ms

Local error

Found 2 expressions with local error:

13.1b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite93.0ms

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
62.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
30.0ms
(* 4 (* i i))

series173.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
126.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
46.0ms
(* 4 (* i i))

simplify4.9s

Counts
28 → 50
Calls
28 calls:
Slowest
791.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
622.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
521.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
465.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
380.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))

prune428.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

12.7b
(/ i (- (* 4 (* i i)) 1.0))
0.1b
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
0.0b
(* 4 (* i i))

rewrite171.0ms

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
100.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
42.0ms
(/ i (- (* 4 (* i i)) 1.0))
27.0ms
(* 4 (* i i))

series257.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
112.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
108.0ms
(/ i (- (* 4 (* i i)) 1.0))
36.0ms
(* 4 (* i i))

simplify7.1s

Counts
92 → 112
Calls
92 calls:
Slowest
644.0ms
(* (* (* (/ i (- (* 4 (* i i)) 1.0)) (/ i (- (* 4 (* i i)) 1.0))) (/ i (- (* 4 (* i i)) 1.0))) (* (* (/ i 4) (/ i 4)) (/ i 4)))
520.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
403.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))
395.0ms
(/ i (- (* (* 4 (* i i)) (* 4 (* i i))) (* 1.0 1.0)))
348.0ms
(+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.0625 (/ 1 (pow i 3))) (* 1/4 (/ 1 i))))

prune846.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
44×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
7×add-cbrt-cube add-exp-log
5×div-inv
4×add-log-exp
3×cbrt-undiv associate-/r* div-exp
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×clear-num sub-neg frac-2neg diff-log associate-/l/
Counts
2 → 86
Calls
2 calls:
Slowest
17.0ms
(/ (/ i 4) (- (* i 4) (/ 1.0 i)))
12.0ms
(- (* i 4) (/ 1.0 i))

series227.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
145.0ms
(/ (/ i 4) (- (* i 4) (/ 1.0 i)))
81.0ms
(- (* i 4) (/ 1.0 i))

simplify7.2s

Counts
105 → 92
Calls
105 calls:
Slowest
632.0ms
(/ (* (* (/ i 4) (/ i 4)) (/ i 4)) (* (* (- (* i 4) (/ 1.0 i)) (- (* i 4) (/ 1.0 i))) (- (* i 4) (/ 1.0 i))))
451.0ms
(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
436.0ms
(/ (/ (* (cbrt i) (cbrt i)) (* (cbrt 4) (cbrt 4))) (* (cbrt (- (* i 4) (/ 1.0 i))) (cbrt (- (* i 4) (/ 1.0 i)))))
244.0ms
(/ (/ (* (cbrt i) (cbrt i)) (sqrt 4)) (* (cbrt (- (* i 4) (/ 1.0 i))) (cbrt (- (* i 4) (/ 1.0 i)))))
226.0ms
(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))

prune744.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (- (* i 4) (/ 1.0 i)) (/ (sqrt i) 4))
0.1b
(/ (sqrt i) (/ (- (* i 4) (/ 1.0 i)) (/ (sqrt i) 4)))
0.0b
(- (* i 4) (/ 1.0 i))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
1404×times-frac
656×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
441×sqrt-prod
93×associate-/r*
34×div-inv
17×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp associate-/r/ associate-/l*
5×add-log-exp
3×pow1 insert-posit16
2×clear-num frac-2neg flip3-- flip-- associate-/l/
1×sub-neg diff-log div-sub
Counts
3 → 644
Calls
3 calls:
Slowest
32.0ms
(/ (- (* i 4) (/ 1.0 i)) (/ (sqrt i) 4))
30.0ms
(/ (sqrt i) (/ (- (* i 4) (/ 1.0 i)) (/ (sqrt i) 4)))
12.0ms
(- (* i 4) (/ 1.0 i))

series328.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
118.0ms
(/ (- (* i 4) (/ 1.0 i)) (/ (sqrt i) 4))
107.0ms
(- (* i 4) (/ 1.0 i))
103.0ms
(/ (sqrt i) (/ (- (* i 4) (/ 1.0 i)) (/ (sqrt i) 4)))

simplify2.7m

Counts
1107 → 653
Calls
1107 calls:
Slowest
1.0s
(/ (sqrt 1) (/ (* (cbrt (- (* i 4) (/ 1.0 i))) (cbrt (- (* i 4) (/ 1.0 i)))) (/ (* (cbrt (sqrt i)) (cbrt (sqrt i))) (sqrt 4))))
694.0ms
(/ (sqrt 1) (/ 1 (/ (* (cbrt (sqrt i)) (cbrt (sqrt i))) (* (cbrt 4) (cbrt 4)))))
643.0ms
(/ 1 (/ (* (cbrt (- (* i 4) (/ 1.0 i))) (cbrt (- (* i 4) (/ 1.0 i)))) (/ (sqrt 1) (* (cbrt 4) (cbrt 4)))))
642.0ms
(/ (sqrt (sqrt i)) (/ (- (* i 4) (/ 1.0 i)) (/ 1 4)))
636.0ms
(- (log (sqrt i)) (log (/ (- (* i 4) (/ 1.0 i)) (/ (sqrt i) 4))))

prune7.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8000×body80valid
286.0ms8000×pre80true