Details

Time bar (total: 14.9s)

sample29.0ms

Algorithm
intervals
Results
14.0ms342×body80valid

simplify16.0ms

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)

rewrite23.0ms

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:
22.0ms
(/ (- (* x x) 3.0) 6.0)

series99.0ms

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

simplify2.6s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
078451
1174438
2399406
3938406
42545405
done5002405

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ x 6.0) x)

rewrite16.0ms

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:
15.0ms
(* (/ x 6.0) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (/ x 6.0) x)

simplify5.4s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
063261
1147256
2369216
3892216
42093212
done5001212

prune101.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

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))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite103.0ms

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:
7.0ms
(+ x (sqrt 3.0))
11.0ms
(- x (sqrt 3.0))
46.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
27.0ms
(/ 6.0 (- x (sqrt 3.0)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ x (sqrt 3.0))
54.0ms
(- x (sqrt 3.0))
295.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
74.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify1.8s

Counts
221 → 221
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02534092
15643792
220383532
done50013505

prune558.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 6.0 (+ (* 3.0 (+ (* x x) 3.0)) (pow x 4)))
0.1b
(* 3.0 (+ (* x x) 3.0))
0.2b
(pow (* x x) 3)
10.9b
(/ (- (pow (* x x) 3) (pow 3.0 3)) (* 6.0 (+ (* 3.0 (+ (* x x) 3.0)) (pow x 4))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
32×difference-of-squares
21×times-frac associate-/l*
17×unpow-prod-down cube-prod sqr-pow
16×pow1 add-exp-log add-cbrt-cube
15×*-un-lft-identity
11×add-cube-cbrt
6×pow-pow associate-*r/ associate-*r* associate-*l*
4×prod-exp cbrt-unprod add-log-exp
3×pow-unpow flip3-+ pow-prod-down flip-+
2×difference-cubes cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-exp associate-/r/ *-commutative associate-/l/ distribute-lft-out-- rem-cube-cbrt unswap-sqr
1×pow2 cube-mult pow-to-exp flip3-- frac-2neg pow-plus unpow3 div-sub clear-num associate-/r* pow-sqr pow-prod-up flip-- div-inv
Counts
4 → 132
Calls
4 calls:
100.0ms
(* 6.0 (+ (* 3.0 (+ (* x x) 3.0)) (pow x 4)))
42.0ms
(* 3.0 (+ (* x x) 3.0))
7.0ms
(pow (* x x) 3)
106.0ms
(/ (- (pow (* x x) 3) (pow 3.0 3)) (* 6.0 (+ (* 3.0 (+ (* x x) 3.0)) (pow x 4))))

series624.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* 6.0 (+ (* 3.0 (+ (* x x) 3.0)) (pow x 4)))
99.0ms
(* 3.0 (+ (* x x) 3.0))
67.0ms
(pow (* x x) 3)
381.0ms
(/ (- (pow (* x x) 3) (pow 3.0 3)) (* 6.0 (+ (* 3.0 (+ (* x x) 3.0)) (pow x 4))))

simplify1.4s

Counts
144 → 144
Iterations

Useful iterations: 2 (435.0ms)

IterNodesCost
02232747
15672478
222112278
done50012278

prune479.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample704.0ms

Algorithm
intervals
Results
447.0ms10681×body80valid