Details

Time bar (total: 14.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms342×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×prod-diff associate-/r*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 55
Calls
2 calls:
3.0ms
(- (* x x) 3.0)
9.0ms
(/ (- (* x x) 3.0) 6.0)

series109.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x x) 3.0)
68.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.3s

Counts
61 → 61
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0109680
1253630
2871567
34982567
done5000567

prune108.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(* 0.16666666666666666 (pow x 2))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* 0.16666666666666666 (pow x 2))

simplify1.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
053244
1112221
2413188
31762188
done5000188

prune57.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
9×prod-exp
7×associate-*r*
6×add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity cbrt-unprod
2×pow-to-exp pow-exp
1×pow1 expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp sqr-pow
Counts
1 → 26
Calls
1 calls:
9.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

simplify5.2s

Counts
29 → 29
Iterations

Useful iterations: 3 (555.0ms)

IterNodesCost
059344
1156251
2703172
33311169
done5001169

prune81.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* x (sqrt 0.16666666666666666))
0.2b
(* x (sqrt 0.16666666666666666))
0.3b
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
19×add-exp-log pow-prod-down add-cbrt-cube
17×add-sqr-sqrt
13×associate-*r*
10×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sqrt-prod
7×associate-*l*
4×pow-sqr pow-prod-up unswap-sqr
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
3 → 84
Calls
3 calls:
7.0ms
(* x (sqrt 0.16666666666666666))
7.0ms
(* x (sqrt 0.16666666666666666))
27.0ms
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* x (sqrt 0.16666666666666666))
40.0ms
(* x (sqrt 0.16666666666666666))
72.0ms
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify3.2s

Counts
93 → 93
Iterations

Useful iterations: 3 (379.0ms)

IterNodesCost
064731
1140542
2600456
33110451
done5000451

prune114.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample311.0ms

Algorithm
intervals
Results
189.0ms10709×body80valid