Details

Time bar (total: 32.4s)

sample40.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
6.0ms256×pre80true

simplify274.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
274.0ms
(/ (/ (* (* 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: 13.6b

localize15.0ms

Local error

Found 2 expressions with local error:

13.6b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))

rewrite64.0ms

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
46.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
17.0ms
(* 4 (* i i))

series138.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
32.0ms
(* 4 (* i i))

simplify7.2s

Counts
52 → 50
Calls
52 calls:
Slowest
551.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
507.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
450.0ms
(* (* (* 4 (* i i)) (* 4 (* i i))) (* 4 (* i i)))
448.0ms
(/ (* (* (* 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)))

prune339.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))
0.2b
(/ 1.0 (* i i))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
12×add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity times-frac div-exp add-cube-cbrt associate-/l*
5×pow1
4×cbrt-undiv prod-exp
2×rec-exp clear-num associate-/r* frac-2neg 1-exp associate-*l/ associate-/r/ cbrt-unprod insert-posit16 div-inv pow-flip add-log-exp
1×flip3-- pow-prod-down flip-- inv-pow
Counts
2 → 53
Calls
2 calls:
Slowest
39.0ms
(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))
6.0ms
(/ 1.0 (* i i))

series134.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
85.0ms
(/ 1 (* (- 4 (/ 1.0 (* i i))) 4))
49.0ms
(/ 1.0 (* i i))

simplify6.4s

Counts
66 → 59
Calls
66 calls:
Slowest
536.0ms
(/ 1 (* (- (pow 4 3) (pow (/ 1.0 (* i i)) 3)) 4))
418.0ms
(* (* (/ 1 (* (- 4 (/ 1.0 (* i i))) 4)) (/ 1 (* (- 4 (/ 1.0 (* i i))) 4))) (/ 1 (* (- 4 (/ 1.0 (* i i))) 4)))
400.0ms
(/ (* (* 1 1) 1) (* (* (* (- 4 (/ 1.0 (* i i))) (- 4 (/ 1.0 (* i i)))) (- 4 (/ 1.0 (* i i)))) (* (* 4 4) 4)))
298.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) (* i i)) (* i i)))
274.0ms
(/ (* (* 1.0 1.0) 1.0) (* (* (* i i) i) (* (* i i) i)))

prune435.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

13.2b
(/ i (- (* 4 (* i i)) 1.0))
0.1b
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
0.0b
(* 4 (* i i))

rewrite155.0ms

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
105.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
26.0ms
(* 4 (* i i))
21.0ms
(/ i (- (* 4 (* i i)) 1.0))

series278.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
128.0ms
(/ i (- (* 4 (* i i)) 1.0))
121.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ i 4))
29.0ms
(* 4 (* i i))

simplify14.3s

Counts
126 → 112
Calls
126 calls:
Slowest
810.0ms
(* (* (* (/ i (- (* 4 (* i i)) 1.0)) (/ i (- (* 4 (* i i)) 1.0))) (/ i (- (* 4 (* i i)) 1.0))) (* (* (/ i 4) (/ i 4)) (/ i 4)))
549.0ms
(* (* (* 4 (* i i)) (* 4 (* i i))) (* 4 (* i i)))
471.0ms
(* (/ i (- (* 4 (* i i)) 1.0)) (/ (* (cbrt i) (cbrt i)) 1))
427.0ms
(/ i (- (* (* 4 (* i i)) (* 4 (* i i))) (* 1.0 1.0)))
330.0ms
(/ i (- (pow (* 4 (* i i)) 3) (pow 1.0 3)))

prune778.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s8000×body80valid
236.0ms8000×pre80true