Details

Time bar (total: 7.1s)

sample30.0ms

Algorithm
intervals
Results
14.0ms348×body80valid

simplify19.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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 div-inv flip-- add-log-exp
Counts
1 → 34
Calls
1 calls:
16.0ms
(/ (- (* x x) 3.0) 6.0)

series80.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.2s

Counts
37 → 37
Iterations
IterNodes
done5000
33845
2626
1182
078

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* x x) 0.16666666666666666) 0.5)
0.2b
(* (* x x) 0.16666666666666666)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- unswap-sqr
Counts
2 → 31
Calls
2 calls:
27.0ms
(- (* (* x x) 0.16666666666666666) 0.5)
25.0ms
(* (* x x) 0.16666666666666666)

series107.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(- (* (* x x) 0.16666666666666666) 0.5)
34.0ms
(* (* x x) 0.16666666666666666)

simplify673.0ms

Counts
37 → 37
Iterations
IterNodes
done5000
2875
1156
060

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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 add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
23.0ms
(/ 6.0 (- (* x x) 3.0))
31.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 6.0 (- (* x x) 3.0))
85.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify1.4s

Counts
135 → 135
Iterations
IterNodes
done5001
23058
1581
0230

prune333.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (* x 0.16666666666666666)) 0.5)
0.2b
(* x (* x 0.16666666666666666))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×sub-neg flip3-- diff-log associate-*r* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
14.0ms
(- (* x (* x 0.16666666666666666)) 0.5)
15.0ms
(* x (* x 0.16666666666666666))

series133.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(- (* x (* x 0.16666666666666666)) 0.5)
40.0ms
(* x (* x 0.16666666666666666))

simplify725.0ms

Counts
36 → 36
Iterations
IterNodes
done5001
2601
1136
056

prune106.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample577.0ms

Algorithm
intervals
Results
374.0ms10604×body80valid