Details

Time bar (total: 15.5s)

sample26.0ms

Algorithm
intervals
Results
15.0ms347×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2167
3207
4217
done217

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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 flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
33.0ms
(/ (- (* x x) 3.0) 6.0)

series106.0ms

Counts
1 → 3
Calls
1 calls:
106.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.4s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
078451
1174438
2399406
3938406
42545405
done5002405

prune139.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ x 6.0) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
30.0ms
(* (/ x 6.0) x)

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* (/ x 6.0) x)

simplify5.6s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
063261
1147256
2369216
3892216
42093212
done5001212

prune98.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log cbrt-prod
7×add-cbrt-cube
6×times-frac associate-/r* sqrt-prod
4×pow1 add-log-exp
3×pow1/3
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
27.0ms
(/ (* (cbrt x) (cbrt x)) (sqrt 6.0))

series1.4s

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt x)
322.0ms
(cbrt x)
348.0ms
(cbrt x)
479.0ms
(/ (* (cbrt x) (cbrt x)) (sqrt 6.0))

simplify1.5s

Counts
72 → 72
Iterations

Useful iterations: done (1.5s)

IterNodesCost
079535
1163493
2471407
32064396
done5001393

prune264.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(+ x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
182×*-un-lft-identity
170×add-sqr-sqrt
90×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
26×distribute-lft-out
20×sqrt-prod distribute-lft-out--
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 209
Calls
4 calls:
13.0ms
(- x (sqrt 3.0))
13.0ms
(+ x (sqrt 3.0))
76.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
14.0ms
(/ 6.0 (- x (sqrt 3.0)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- x (sqrt 3.0))
42.0ms
(+ x (sqrt 3.0))
230.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
92.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.6s

Counts
221 → 221
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02534092
15643792
220383532
done50013505

prune623.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample735.0ms

Algorithm
intervals
Results
521.0ms10741×body80valid