Details

Time bar (total: 13.7s)

sample29.0ms

Algorithm
intervals
Results
14.0ms338×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2177
3217
4237
5247
done247

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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:
36.0ms
(/ (- (* x x) 3.0) 6.0)

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.1s

Counts
39 → 39
Iterations

Useful iterations: 3 (960.0ms)

IterNodesCost
080467
1189452
2646422
34051419
done5000419

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 6.0 (- (* x x) 3.0))
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
21.0ms
(/ 6.0 (- (* x x) 3.0))
23.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ 6.0 (- (* x x) 3.0))
105.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify1.8s

Counts
139 → 139
Iterations

Useful iterations: 2 (605.0ms)

IterNodesCost
02342311
15911989
229471903
done50001903

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
60×*-un-lft-identity
40×add-cube-cbrt
37×times-frac
22×associate-*r*
18×prod-diff
17×sqrt-prod
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×fma-def flip3-+ fma-neg associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 147
Calls
4 calls:
39.0ms
(/ (- x (sqrt 3.0)) 6.0)
7.0ms
(+ x (sqrt 3.0))
9.0ms
(- x (sqrt 3.0))
120.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series411.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (- x (sqrt 3.0)) 6.0)
46.0ms
(+ x (sqrt 3.0))
74.0ms
(- x (sqrt 3.0))
218.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify2.7s

Counts
159 → 159
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01922111
14851821
227221602
done50011525

prune375.0ms

Pruning

4 alts after pruning (1 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)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
196×*-un-lft-identity
184×add-sqr-sqrt
104×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
29×sqrt-prod
26×distribute-lft-out
20×distribute-lft-out--
18×prod-diff
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 expm1-log1p-u div-exp log1p-expm1-u
3×fma-def fma-neg
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 241
Calls
4 calls:
12.0ms
(+ x (sqrt 3.0))
15.0ms
(- x (sqrt 3.0))
56.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
21.0ms
(/ 6.0 (- x (sqrt 3.0)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ x (sqrt 3.0))
62.0ms
(- x (sqrt 3.0))
249.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
86.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify2.2s

Counts
253 → 253
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03034687
17804232
243123953
done50003949

prune602.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.2b 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

sample699.0ms

Algorithm
intervals
Results
452.0ms10706×body80valid