Details

Time bar (total: 34.1s)

sample61.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
10.0ms256×pre80true

simplify343.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
343.0ms
(/ (/ (* (* 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: 12.9b

localize22.0ms

Local error

Found 3 expressions with local error:

12.9b
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b
(* 4 (* i i))
0.0b
(- (* 4 (* i i)) 1.0)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
8×pow1
7×prod-exp cbrt-unprod
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*l* prod-diff pow-prod-down insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ associate-/r/ flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac fma-neg diff-log associate-*r* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
Slowest
66.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
39.0ms
(- (* 4 (* i i)) 1.0)
26.0ms
(* 4 (* i i))

series265.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
138.0ms
(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
90.0ms
(- (* 4 (* i i)) 1.0)
37.0ms
(* 4 (* i i))

simplify4.9s

Counts
38 → 76
Calls
38 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)))
576.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
403.0ms
(+ (* (* 4 (* i i)) (* 4 (* i i))) (+ (* 1.0 1.0) (* (* 4 (* i i)) 1.0)))
348.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) (- (* 4 (* i i)) 1.0)) (- (* 4 (* i i)) 1.0)) (* (* 4 4) 4)))
343.0ms
(/ (exp (* 4 (* i i))) (exp 1.0))

prune554.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

12.9b
(/ (* i i) (* (- (* (* i i) 4) 1.0) 4))
0.0b
(* (* i i) 4)
0.0b
(- (* (* i i) 4) 1.0)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
8×pow1
7×prod-exp cbrt-unprod
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*r* prod-diff pow-prod-down insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ associate-/r/ flip--
1×clear-num associate-/r* sub-neg frac-2neg times-frac fma-neg diff-log associate-*l* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
Slowest
45.0ms
(/ (* i i) (* (- (* (* i i) 4) 1.0) 4))
33.0ms
(- (* (* i i) 4) 1.0)
28.0ms
(* (* i i) 4)

series281.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
147.0ms
(/ (* i i) (* (- (* (* i i) 4) 1.0) 4))
81.0ms
(- (* (* i i) 4) 1.0)
53.0ms
(* (* i i) 4)

simplify4.9s

Counts
39 → 76
Calls
39 calls:
Slowest
637.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* i i) 4) 1.0) 4) (* (- (* (* i i) 4) 1.0) 4)) (* (- (* (* i i) 4) 1.0) 4)))
565.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* i i) 4) 1.0) 4) (* (- (* (* i i) 4) 1.0) 4)) (* (- (* (* i i) 4) 1.0) 4)))
440.0ms
(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* i i) 4) 1.0) (- (* (* i i) 4) 1.0)) (- (* (* i i) 4) 1.0)) (* (* 4 4) 4)))
341.0ms
(+ (* (* (* i i) 4) (* (* i i) 4)) (+ (* 1.0 1.0) (* (* (* i i) 4) 1.0)))
317.0ms
(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* i i) 4) 1.0) (- (* (* i i) 4) 1.0)) (- (* (* i i) 4) 1.0)) (* (* 4 4) 4)))

prune607.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

13.0b
(* (* i i) (/ 1 (* (- (* (* i i) 4) 1.0) 4)))
0.2b
(/ 1 (* (- (* (* i i) 4) 1.0) 4))
0.0b
(* (* i i) 4)
0.0b
(- (* (* i i) 4) 1.0)

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×add-cbrt-cube
33×prod-exp
17×pow1
15×cbrt-unprod
12×add-sqr-sqrt div-exp associate-*r*
10×*-un-lft-identity add-cube-cbrt
7×pow-prod-down
6×cbrt-undiv rec-exp times-frac 1-exp add-log-exp
4×expm1-log1p-u associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u
3×flip3-- prod-diff flip-- associate-/l*
2×associate-*l* *-commutative div-inv pow-flip unswap-sqr
1×clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log associate-*r/ un-div-inv inv-pow
Counts
4 → 120
Calls
4 calls:
Slowest
235.0ms
(* (* i i) (/ 1 (* (- (* (* i i) 4) 1.0) 4)))
80.0ms
(/ 1 (* (- (* (* i i) 4) 1.0) 4))
22.0ms
(* (* i i) 4)
18.0ms
(- (* (* i i) 4) 1.0)

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
123.0ms
(* (* i i) (/ 1 (* (- (* (* i i) 4) 1.0) 4)))
112.0ms
(- (* (* i i) 4) 1.0)
76.0ms
(/ 1 (* (- (* (* i i) 4) 1.0) 4))
29.0ms
(* (* i i) 4)

simplify12.0s

Counts
83 → 132
Calls
83 calls:
Slowest
480.0ms
(/ (* (* 1 1) 1) (* (* (* (- (* (* i i) 4) 1.0) (- (* (* i i) 4) 1.0)) (- (* (* i i) 4) 1.0)) (* (* 4 4) 4)))
441.0ms
(* (* (* (* i i) (* i i)) (* i i)) (/ (* (* 1 1) 1) (* (* (* (- (* (* i i) 4) 1.0) 4) (* (- (* (* i i) 4) 1.0) 4)) (* (- (* (* i i) 4) 1.0) 4))))
422.0ms
(+ (log (* i i)) (- (log 1) (+ (log (- (* (* i i) 4) 1.0)) (log 4))))
385.0ms
(- (+ (* 1.0 (pow i 2)) (+ (* 4.0 (pow i 4)) 0.25)))
380.0ms
(+ (log (* i i)) (- 0 (log (* (- (* (* i i) 4) 1.0) 4))))

prune975.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
0.1b
(/ (/ 0.00390625 i) i)
0.0b
(+ 0.015625 (/ (/ 0.00390625 i) i))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
54×*-un-lft-identity
48×add-sqr-sqrt add-cube-cbrt
17×associate-/l*
13×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/r*
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u distribute-lft-out associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×+-commutative sum-log prod-exp cbrt-unprod
Counts
3 → 119
Calls
3 calls:
Slowest
40.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
8.0ms
(+ 0.015625 (/ (/ 0.00390625 i) i))
7.0ms
(/ (/ 0.00390625 i) i)

series188.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
109.0ms
(/ (+ 0.015625 (/ (/ 0.00390625 i) i)) (* i i))
51.0ms
(+ 0.015625 (/ (/ 0.00390625 i) i))
28.0ms
(/ (/ 0.00390625 i) i)

simplify5.5s

Counts
124 → 128
Calls
124 calls:
Slowest
539.0ms
(/ (/ (* (cbrt 0.00390625) (cbrt 0.00390625)) (sqrt i)) (* (cbrt i) (cbrt i)))
351.0ms
(/ (/ (* (* 0.00390625 0.00390625) 0.00390625) (* (* i i) i)) (* (* i i) i))
266.0ms
(+ (pow 0.015625 3) (pow (/ (/ 0.00390625 i) i) 3))
236.0ms
(- (* 0.015625 0.015625) (* (/ (/ 0.00390625 i) i) (/ (/ 0.00390625 i) i)))
232.0ms
(/ (* (* (+ 0.015625 (/ (/ 0.00390625 i) i)) (+ 0.015625 (/ (/ 0.00390625 i) i))) (+ 0.015625 (/ (/ 0.00390625 i) i))) (* (* (* i i) (* i i)) (* i i)))

prune939.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.7b

bsearch70.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
985.0ms8000×body80valid
227.0ms8000×pre80true