Details

Time bar (total: 2.2s)

sample12.0ms

Algorithm
intervals
Results
5.0ms341×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243
done243

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)

rewrite22.0ms

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:
21.0ms
(/ (- (* x x) 3.0) 6.0)

series66.0ms

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

simplify66.0ms

Counts
39 → 39
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0182228
1585214
22311212
35001211
done5001211

prune70.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (* x x) 6.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
12.0ms
(/ (* x x) 6.0)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* x x) 6.0)

simplify62.0ms

Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010991
146776
2200576
3500176
done500176

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (/ x 6.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
13.0ms
(* x (/ x 6.0))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* x (/ x 6.0))

simplify28.0ms

Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164139
1782118
25002118
done5002118

prune58.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x 6.0)) (cbrt (/ x 6.0)))
0.6b
(cbrt (/ x 6.0))
0.6b
(cbrt (/ x 6.0))
0.6b
(cbrt (/ x 6.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
28.0ms
(* (cbrt (/ x 6.0)) (cbrt (/ x 6.0)))
2.0ms
(cbrt (/ x 6.0))
2.0ms
(cbrt (/ x 6.0))
2.0ms
(cbrt (/ x 6.0))

series798.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (/ x 6.0)) (cbrt (/ x 6.0)))
189.0ms
(cbrt (/ x 6.0))
192.0ms
(cbrt (/ x 6.0))
189.0ms
(cbrt (/ x 6.0))

simplify124.0ms

Counts
164 → 164
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
02301102
18221061
245221019
350011015
done50011015

prune408.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes24.0ms

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
074
174
done74

end0.0ms

sample312.0ms

Algorithm
intervals
Results
173.0ms10638×body80valid