Details

Time bar (total: 32.9s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
6.0ms256×pre80true

simplify9.8s

Counts
1 → 1
Iterations
IterNodes
done5148
43823
3744
2157
132
010

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b
(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×prod-diff
11×add-cbrt-cube add-exp-log
7×associate-/l*
6×div-inv
5×cbrt-undiv div-exp
4×add-log-exp
3×associate-/r*
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-exp cbrt-unprod associate-/l/
Counts
2 → 82
Calls
2 calls:
34.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
91.0ms
(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series236.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
129.0ms
(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify3.9s

Counts
88 → 88
Iterations
IterNodes
done5002
22215
1664
0245

prune943.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 4.0 i) (/ 1.0 i))
0.1b
(/ (/ i (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×prod-diff
11×add-cbrt-cube add-exp-log
7×associate-/l*
6×div-inv
5×cbrt-undiv div-exp
4×add-log-exp
3×associate-/r*
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-exp cbrt-unprod associate-/l/
Counts
2 → 82
Calls
2 calls:
18.0ms
(- (* 4.0 i) (/ 1.0 i))
43.0ms
(/ (/ i (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))

series288.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(- (* 4.0 i) (/ 1.0 i))
168.0ms
(/ (/ i (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))

simplify3.8s

Counts
88 → 88
Iterations
IterNodes
done5001
22162
1661
0244

prune866.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 4.0 i) (/ 1.0 i))
0.1b
(/ (/ 1 (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))
0.1b
(* i (/ (/ 1 (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i))))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
51×add-sqr-sqrt
50×add-exp-log
42×*-un-lft-identity
41×add-cube-cbrt
27×associate-*r*
26×add-cbrt-cube
22×div-exp
14×prod-exp
13×prod-diff
10×cbrt-undiv div-inv
7×associate-/l*
6×cbrt-unprod
5×pow1 add-log-exp
4×rec-exp 1-exp associate-/r/ unswap-sqr
3×expm1-log1p-u associate-/r* flip3-- associate-*l* insert-posit16 log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 145
Calls
3 calls:
18.0ms
(- (* 4.0 i) (/ 1.0 i))
58.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))
200.0ms
(* i (/ (/ 1 (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i))))

series379.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- (* 4.0 i) (/ 1.0 i))
108.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i)))
169.0ms
(* i (/ (/ 1 (* 2.0 2.0)) (- (* 4.0 i) (/ 1.0 i))))

simplify5.0s

Counts
154 → 154
Iterations
IterNodes
done5002
22748
1891
0318

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1.0 (* i (* i i)) (* i 0.25))
0.0b
(fma (pow i 5) 4.0 (fma 1.0 (* i (* i i)) (* i 0.25)))
0.0b
(* i (- (fma (pow i 5) 4.0 (fma 1.0 (* i (* i i)) (* i 0.25)))))
0.1b
(* i (* i i))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
12×add-sqr-sqrt
11×add-cbrt-cube associate-*r* add-exp-log
9×*-un-lft-identity add-cube-cbrt
6×associate-*l*
5×pow-prod-up
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod fma-udef insert-posit16 log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-neg-in *-commutative unswap-sqr
1×pow2 distribute-rgt-in neg-mul-1 distribute-lft-in pow-plus cube-unmult pow-sqr distribute-rgt-neg-out
Counts
4 → 80
Calls
4 calls:
2.0ms
(fma 1.0 (* i (* i i)) (* i 0.25))
2.0ms
(fma (pow i 5) 4.0 (fma 1.0 (* i (* i i)) (* i 0.25)))
31.0ms
(* i (- (fma (pow i 5) 4.0 (fma 1.0 (* i (* i i)) (* i 0.25)))))
45.0ms
(* i (* i i))

series473.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(fma 1.0 (* i (* i i)) (* i 0.25))
111.0ms
(fma (pow i 5) 4.0 (fma 1.0 (* i (* i i)) (* i 0.25)))
188.0ms
(* i (- (fma (pow i 5) 4.0 (fma 1.0 (* i (* i i)) (* i 0.25)))))
55.0ms
(* i (* i i))

simplify2.7s

Counts
92 → 92
Iterations
IterNodes
done5013
21108
1296
0128

prune850.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample1.3s

Algorithm
intervals
Results
555.0ms8000×body80valid
501.0ms8000×pre80true