Details

Time bar (total: 11.7s)

sample34.0ms

Algorithm
intervals
Results
15.0ms338×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2167
3207
4217
done217

prune3.0ms

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)

rewrite24.0ms

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:
23.0ms
(/ (- (* x x) 3.0) 6.0)

series121.0ms

Counts
1 → 3
Calls
1 calls:
120.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.7s

Counts
37 → 37
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
078451
1182438
2624406
33924406
done5000406

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite53.0ms

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×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
22.0ms
(/ 6.0 (- (* x x) 3.0))
25.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(/ 6.0 (- (* x x) 3.0))
109.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify1.6s

Counts
135 → 135
Iterations

Useful iterations: 2 (525.0ms)

IterNodesCost
02302275
15811962
230861872
done50011872

prune330.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

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))

rewrite191.0ms

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-exp-log add-cbrt-cube
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×flip3-+ 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 → 115
Calls
4 calls:
42.0ms
(/ (- x (sqrt 3.0)) 6.0)
14.0ms
(+ x (sqrt 3.0))
19.0ms
(- x (sqrt 3.0))
107.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series424.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (- x (sqrt 3.0)) 6.0)
37.0ms
(+ x (sqrt 3.0))
57.0ms
(- x (sqrt 3.0))
234.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.6s

Counts
127 → 127
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01421516
13701417
223281259
done50011243

prune392.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

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)))

rewrite119.0ms

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:
9.0ms
(+ x (sqrt 3.0))
7.0ms
(- x (sqrt 3.0))
55.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
22.0ms
(/ 6.0 (- x (sqrt 3.0)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ x (sqrt 3.0))
73.0ms
(- x (sqrt 3.0))
251.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
94.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.8s

Counts
221 → 221
Iterations

Useful iterations: 2 (608.0ms)

IterNodesCost
02534092
16643842
238943618
done50013618

prune623.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes70.0ms

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

sample716.0ms

Algorithm
intervals
Results
458.0ms10706×body80valid