Details

Time bar (total: 9.2s)

sample59.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
9.0ms256×pre80true

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2054
42054
3709
2152
133
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* i i) 4)
15.6b
(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
7×pow1
6×add-sqr-sqrt prod-exp cbrt-unprod
5×*-un-lft-identity add-cube-cbrt
3×cbrt-undiv associate-/r* times-frac div-exp associate-*r* pow-prod-down
2×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-- associate-*l* *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
17.0ms
(* (* i i) 4)
50.0ms
(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

series181.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* i i) 4)
130.0ms
(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

simplify1.1s

Counts
56 → 56
Iterations
IterNodes
done2010
32010
21278
1323
0119

prune317.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* i i) 4)
1.9b
(log (exp (* (* i i) 4)))
15.8b
(/ (* (* i i) 1/4) (- (log (exp (* (* i i) 4))) 1.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube add-exp-log
13×*-un-lft-identity
12×add-sqr-sqrt
11×pow1
7×add-cube-cbrt
6×associate-/r* times-frac prod-exp cbrt-unprod
5×log-pow
4×distribute-lft-out-- add-log-exp
3×expm1-log1p-u cbrt-undiv log-prod div-exp associate-*r* pow-prod-down insert-posit16 log1p-expm1-u
2×associate-/r/ difference-of-squares
1×exp-prod clear-num frac-2neg flip3-- exp-to-pow rem-log-exp associate-*l* *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
3 → 73
Calls
3 calls:
15.0ms
(* (* i i) 4)
4.0ms
(log (exp (* (* i i) 4)))
24.0ms
(/ (* (* i i) 1/4) (- (log (exp (* (* i i) 4))) 1.0))

series157.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (* i i) 4)
33.0ms
(log (exp (* (* i i) 4)))
96.0ms
(/ (* (* i i) 1/4) (- (log (exp (* (* i i) 4))) 1.0))

simplify1.0s

Counts
82 → 82
Iterations
IterNodes
done2009
32009
21328
1366
0145

prune660.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 0.015625 (/ 1 (* i i)) (fma 0.00390625 (/ (/ 1 (* i i)) (* i i)) 1/16))
0.1b
(/ (/ 1 (* i i)) (* i i))
0.4b
(/ 1 (* i i))
0.4b
(/ 1 (* i i))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
75×pow1
71×add-exp-log
35×add-cbrt-cube
32×pow-flip
30×div-exp
22×pow-div
19×times-frac prod-exp
14×cbrt-undiv
13×associate-/l*
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×pow2 pow-plus pow-sqr pow-prod-up
8×rec-exp 1-exp
7×pow-prod-down cbrt-unprod
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u inv-pow add-log-exp
3×clear-num associate-/r* frac-2neg
1×fma-udef associate-/l/
Counts
4 → 152
Calls
4 calls:
0.0ms
(fma 0.015625 (/ 1 (* i i)) (fma 0.00390625 (/ (/ 1 (* i i)) (* i i)) 1/16))
22.0ms
(/ (/ 1 (* i i)) (* i i))
9.0ms
(/ 1 (* i i))
10.0ms
(/ 1 (* i i))

series434.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(fma 0.015625 (/ 1 (* i i)) (fma 0.00390625 (/ (/ 1 (* i i)) (* i i)) 1/16))
51.0ms
(/ (/ 1 (* i i)) (* i i))
18.0ms
(/ 1 (* i i))
31.0ms
(/ 1 (* i i))

simplify949.0ms

Counts
164 → 164
Iterations
IterNodes
done2009
32009
2898
1310
0134

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch76.0ms

Steps
ItersRangePoint
9
0.05791860295357105
2182235.721322326
13.204777387070594

simplify4.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s8000×body80valid
282.0ms8000×pre80true