Details

Time bar (total: 13.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms336×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
111123
216123
320123
421123
done21123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp div-inv flip-- add-log-exp
Counts
1 → 34
Calls
1 calls:
21.0ms
(/ (- (* x x) 3.0) 6.0)

series100.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.7s

Counts
37 → 37
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
0789456
11828589
26268509
338458509
done50008509

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(- x (sqrt 3.0))
0.0b
(+ x (sqrt 3.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-cbrt-cube add-exp-log
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×associate-/r* flip3-+ flip-+
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- distribute-lft-out unswap-sqr associate-/l/
1×+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*r/ *-commutative
Counts
4 → 115
Calls
4 calls:
15.0ms
(/ (- x (sqrt 3.0)) 6.0)
5.0ms
(- x (sqrt 3.0))
11.0ms
(+ x (sqrt 3.0))
58.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series428.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (- x (sqrt 3.0)) 6.0)
56.0ms
(- x (sqrt 3.0))
57.0ms
(+ x (sqrt 3.0))
214.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify2.0s

Counts
127 → 127
Iterations

Useful iterations: done (1.9s)

IterNodesCost
014234328
137029909
2233128625
done500128305

prune549.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

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)))

rewrite81.0ms

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-cbrt-cube add-exp-log
8×add-log-exp
7×flip3-- div-inv flip-- associate-/l*
4×pow1 cbrt-undiv div-exp
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 209
Calls
4 calls:
9.0ms
(- x (sqrt 3.0))
9.0ms
(+ x (sqrt 3.0))
41.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
11.0ms
(/ 6.0 (- x (sqrt 3.0)))

series431.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- x (sqrt 3.0))
63.0ms
(+ x (sqrt 3.0))
217.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
94.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify2.1s

Counts
221 → 221
Iterations

Useful iterations: 2 (890.0ms)

IterNodesCost
025394199
166484095
2389781140
done500081140

prune847.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ 6.0 (- x (sqrt 3.0))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))
0.6b
(/ 6.0 (- x (sqrt 3.0)))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
77×*-un-lft-identity
72×times-frac
47×add-cube-cbrt
30×difference-of-squares
24×cbrt-prod
18×associate-/r*
15×sqrt-prod distribute-lft-out--
10×add-cbrt-cube add-exp-log
9×associate-/l*
8×associate-/r/
4×pow1 flip3-- div-inv flip-- add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
1×cbrt-div pow1/3
Counts
4 → 156
Calls
4 calls:
6.0ms
(cbrt (/ 6.0 (- x (sqrt 3.0))))
11.0ms
(/ 6.0 (- x (sqrt 3.0)))
16.0ms
(/ 6.0 (- x (sqrt 3.0)))
11.0ms
(/ 6.0 (- x (sqrt 3.0)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt (/ 6.0 (- x (sqrt 3.0))))
75.0ms
(/ 6.0 (- x (sqrt 3.0)))
94.0ms
(/ 6.0 (- x (sqrt 3.0)))
95.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.3s

Counts
168 → 168
Iterations

Useful iterations: done (1.2s)

IterNodesCost
018765810
139854890
2130254281
done500154001

prune991.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes210.0ms

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 (1.0ms)

IterNodesCost
06123
done6123

end0.0ms

sample630.0ms

Algorithm
intervals
Results
440.0ms10659×body80valid