Details

Time bar (total: 7.2s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
fma-neg div-inv add-log-exp
difference-of-squares
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
9.0ms
(- x (/ 1.0 3.0))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(- x (/ 1.0 3.0))

simplify2.0s

Counts
62 → 62
Iterations

Useful iterations: 3 (941.0ms)

IterNodesCost
01541713
13591497
2969998
33653729
done5000729

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ -1 (sqrt 3.0))
1.0b
(/ 1.0 (sqrt 3.0))
1.0b
(/ 1.0 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
64×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×sqrt-prod
24×associate-/r*
14×add-exp-log
12×add-cbrt-cube associate-/l*
pow1
div-exp
cbrt-undiv expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv add-log-exp
pow-flip
rec-exp sqrt-pow1 pow1/2 1-exp inv-pow
Counts
4 → 170
Calls
4 calls:
3.0ms
(/ -1 (sqrt 3.0))
3.0ms
(/ 1.0 (sqrt 3.0))
3.0ms
(/ 1.0 (sqrt 3.0))
4.0ms
(/ 1 (sqrt 3.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ -1 (sqrt 3.0))
0.0ms
(/ 1.0 (sqrt 3.0))
0.0ms
(/ 1.0 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))

simplify2.7s

Counts
174 → 174
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01681589
12791357
25271311
311201287
427501255
done50001253

prune341.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(- x (/ 1.0 3.0))
0.1b
(* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
123×add-sqr-sqrt
99×*-un-lft-identity
81×add-cube-cbrt
78×prod-diff
60×times-frac
34×sqrt-prod
18×pow1
13×swap-sqr
12×sqrt-div difference-of-squares
associate-*r* associate-*l*
flip3-- sqrt-pow1 pow1/2 flip-- distribute-lft-out--
add-log-exp
fma-neg div-inv
add-exp-log pow-prod-up add-cbrt-cube
frac-times unswap-sqr
expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u
sub-neg diff-log associate-*r/ associate-*l/
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 188
Calls
3 calls:
8.0ms
(- x (/ 1.0 3.0))
8.0ms
(- x (/ 1.0 3.0))
56.0ms
(* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))))

series82.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 1.0 3.0))
23.0ms
(- x (/ 1.0 3.0))
35.0ms
(* (sqrt (- x (/ 1.0 3.0))) (sqrt (- x (/ 1.0 3.0))))

simplify1.3s

Counts
197 → 197
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02384765
14953789
213512733
done50002181

prune259.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample188.0ms

Algorithm
intervals
Results
103.0ms8000×body80valid