Details

Time bar (total: 11.5s)

sample26.0ms

Algorithm
intervals
Results
16.0ms332×body80valid

simplify14.0ms

Counts
1 → 1
Iterations
IterNodes
done21
421
320
216
111
06

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 35
Calls
1 calls:
36.0ms
(/ (- (* x x) 3.0) 6.0)

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.6s

Counts
38 → 38
Iterations
IterNodes
done5000
31443
2448
1178
079

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.1b
(/ 6.0 (- (* x x) 3.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×*-un-lft-identity add-cube-cbrt
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×pow-flip inv-pow
Counts
2 → 131
Calls
2 calls:
42.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
16.0ms
(/ 6.0 (- (* x x) 3.0))

series210.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
102.0ms
(/ 6.0 (- (* x x) 3.0))

simplify2.1s

Counts
137 → 137
Iterations
IterNodes
done5001
21652
1570
0232

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (* x x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×associate-*r* *-commutative insert-posit16 add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
33.0ms
(* 0.16666666666666666 (* x x))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* 0.16666666666666666 (* x x))

simplify2.8s

Counts
23 → 23
Iterations
IterNodes
done5003
31055
2261
188
035

prune71.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 0.16666666666666666) (* x x))
0.2b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (* x x)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
7×sqrt-prod
6×*-un-lft-identity add-cube-cbrt
2×associate-*r* *-commutative insert-posit16 add-log-exp unswap-sqr
Counts
2 → 49
Calls
2 calls:
27.0ms
(* (sqrt 0.16666666666666666) (* x x))
93.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (* x x)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (sqrt 0.16666666666666666) (* x x))
97.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (* x x)))

simplify2.8s

Counts
55 → 55
Iterations
IterNodes
done5002
32952
2593
1155
059

prune140.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample601.0ms

Algorithm
intervals
Results
471.0ms10558×body80valid