Details

Time bar (total: 12.1s)

sample12.0ms

Algorithm
intervals
Results
6.0ms344×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
9.0ms
(/ (- (* x x) 3.0) 6.0)

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.6s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
080467
1181451
2438419
31212419
44305418
done5001418

prune80.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* 0.16666666666666666 (pow x 2))

simplify2.6s

Counts
32 → 32
Iterations

Useful iterations: 4 (997.0ms)

IterNodesCost
053244
1110221
2280188
3729188
43164185
done5001185

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
0.2b
(* (sqrt 0.16666666666666666) (pow x 2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod
9×associate-*r* add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity unswap-sqr
5×unpow-prod-down
4×pow1 cbrt-unprod
3×unpow2 sqr-pow
2×expm1-log1p-u pow-to-exp pow-exp *-commutative log1p-expm1-u add-log-exp
1×pow-prod-down
Counts
2 → 60
Calls
2 calls:
12.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
8.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

series123.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
47.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

simplify2.3s

Counts
66 → 66
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
078685
1173526
2572457
32048457
done5000457

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (fabs x) 0.16666666666666666) (sqrt (pow x 2)))
17.6b
(sqrt (pow x 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-prod
11×associate-*r*
9×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt unpow-prod-down *-un-lft-identity add-cbrt-cube
4×rem-sqrt-square
3×pow-prod-down prod-exp cbrt-unprod unpow2 sqr-pow
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×sqrt-pow1 pow1/2 associate-*l* *-commutative
Counts
2 → 51
Calls
2 calls:
13.0ms
(* (* (fabs x) 0.16666666666666666) (sqrt (pow x 2)))
2.0ms
(sqrt (pow x 2))

series52.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (* (fabs x) 0.16666666666666666) (sqrt (pow x 2)))
9.0ms
(sqrt (pow x 2))

simplify3.5s

Counts
57 → 57
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
078503
1184445
2624280
31632280
done5000280

prune117.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample298.0ms

Algorithm
intervals
Results
185.0ms10680×body80valid