Details

Time bar (total: 11.9s)

sample15.0ms

Algorithm
intervals
Results
8.0ms332×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done23
423
321
217
112
06

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 37
Calls
1 calls:
39.0ms
(/ (- (* x x) 3.0) 6.0)

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.0s

Counts
40 → 40
Iterations
IterNodes
done5001
31542
2448
1185
081

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))

rewrite46.0ms

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×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 135
Calls
2 calls:
23.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
18.0ms
(/ 6.0 (- (* x x) 3.0))

series168.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
77.0ms
(/ 6.0 (- (* x x) 3.0))

simplify1.9s

Counts
141 → 141
Iterations
IterNodes
done5000
21689
1577
0236

prune461.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) 0.16666666666666666)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
37.0ms
(* (* x x) 0.16666666666666666)

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (* x x) 0.16666666666666666)

simplify3.3s

Counts
25 → 25
Iterations
IterNodes
done5043
44039
3982
2301
199
040

prune107.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
12×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
7×sqrt-prod
6×*-un-lft-identity add-cube-cbrt
2×expm1-log1p-u associate-*l* *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 53
Calls
2 calls:
35.0ms
(* (* x x) (sqrt 0.16666666666666666))
97.0ms
(* (* (* x x) (sqrt 0.16666666666666666)) (sqrt 0.16666666666666666))

series157.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (* x x) (sqrt 0.16666666666666666))
96.0ms
(* (* (* x x) (sqrt 0.16666666666666666)) (sqrt 0.16666666666666666))

simplify2.3s

Counts
59 → 59
Iterations
IterNodes
done5003
32234
2651
1190
071

prune169.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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

sample527.0ms

Algorithm
intervals
Results
407.0ms10558×body80valid