Details

Time bar (total: 13.0s)

sample25.0ms

Algorithm
intervals
Results
11.0ms358×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done87
587
481
357
236
118
07

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (+ (* x x) (* x y)))
0.0b
(+ (* x x) (* x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
associate-*l*
flip3-+ associate-*r/ flip-+ distribute-lft-out
distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
28.0ms
(* 2.0 (+ (* x x) (* x y)))
6.0ms
(+ (* x x) (* x y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* 2.0 (+ (* x x) (* x y)))
44.0ms
(+ (* x x) (* x y))

simplify1.3s

Counts
41 → 41
Iterations
IterNodes
done5002
21226
1218
062

prune160.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 2.0 x) (+ x y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
*-un-lft-identity associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt associate-*r/ add-cube-cbrt
distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
38.0ms
(* (* 2.0 x) (+ x y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* (* 2.0 x) (+ x y))

simplify1.3s

Counts
26 → 26
Iterations
IterNodes
done5000
21365
1177
057

prune99.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))
5.4b
(cbrt (+ (* x x) (* x y)))
5.4b
(cbrt (+ (* x x) (* x y)))
5.4b
(cbrt (+ (* x x) (* x y)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
flip3-+ pow1/3 flip-+
swap-sqr associate-*r* associate-*l* distribute-lft-out
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
72.0ms
(* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))
8.0ms
(cbrt (+ (* x x) (* x y)))
7.0ms
(cbrt (+ (* x x) (* x y)))
8.0ms
(cbrt (+ (* x x) (* x y)))

series973.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))
227.0ms
(cbrt (+ (* x x) (* x y)))
234.0ms
(cbrt (+ (* x x) (* x y)))
241.0ms
(cbrt (+ (* x x) (* x y)))

simplify3.9s

Counts
105 → 105
Iterations
IterNodes
done5001
34460
2807
1236
0101

prune616.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* y y))
5.6b
(* (* 2.0 x) (- (* x x) (* y y)))
15.1b
(/ (* (* 2.0 x) (- (* x x) (* y y))) (- x y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube add-exp-log
10×add-sqr-sqrt *-un-lft-identity
pow1
prod-exp add-cube-cbrt cbrt-unprod
associate-/r* times-frac add-log-exp
flip3-- associate-*r* associate-*r/ flip-- difference-of-squares
cbrt-undiv sub-neg div-exp pow-prod-down
distribute-rgt-in distribute-lft-in associate-/r/ distribute-lft-out-- associate-/l/
clear-num frac-2neg diff-log associate-*l* *-commutative div-inv associate-/l*
Counts
3 → 69
Calls
3 calls:
6.0ms
(- (* x x) (* y y))
33.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
36.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (- x y))

series257.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* x x) (* y y))
94.0ms
(* (* 2.0 x) (- (* x x) (* y y)))
110.0ms
(/ (* (* 2.0 x) (- (* x x) (* y y))) (- x y))

simplify2.5s

Counts
78 → 78
Iterations
IterNodes
done5000
23461
1424
0125

prune280.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample861.0ms

Algorithm
intervals
Results
439.0ms11029×body80valid