Details

Time bar (total: 13.9s)

sample16.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify28.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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:
49.0ms
(/ (- (* x x) 3.0) 6.0)

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (- (* x x) 3.0) 6.0)

simplify1.8s

Counts
40 → 40
Iterations
IterNodes
done5001
31542
2448
1185
081

prune151.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x x) 0.16666666666666666)

rewrite22.0ms

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:
21.0ms
(* (* x x) 0.16666666666666666)

series37.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (* x x) 0.16666666666666666)

simplify3.7s

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

prune92.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (* x 0.16666666666666666))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 21
Calls
1 calls:
37.0ms
(* x (* x 0.16666666666666666))

series49.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* x (* x 0.16666666666666666))

simplify4.0s

Counts
24 → 24
Iterations
IterNodes
done5000
31131
2284
189
036

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* x (sqrt 0.16666666666666666))
0.2b
(* x (sqrt 0.16666666666666666))
0.4b
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
19×add-cbrt-cube pow-prod-down add-exp-log
17×add-sqr-sqrt
13×associate-*r*
10×prod-exp cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
8×sqrt-prod
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
3 → 87
Calls
3 calls:
16.0ms
(* x (sqrt 0.16666666666666666))
14.0ms
(* x (sqrt 0.16666666666666666))
49.0ms
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* x (sqrt 0.16666666666666666))
75.0ms
(* x (sqrt 0.16666666666666666))
98.0ms
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify2.6s

Counts
96 → 96
Iterations
IterNodes
done5000
32158
2516
1148
066

prune227.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample547.0ms

Algorithm
intervals
Results
421.0ms10676×body80valid