Details

Time bar (total: 12.8s)

sample35.0ms

Algorithm
intervals
Results
16.0ms365×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1187
2367
3557
done557

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*r*
add-cube-cbrt
associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
40.0ms
(* (* x (+ x y)) 2.0)
34.0ms
(* x (+ x y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (* x (+ x y)) 2.0)
44.0ms
(* x (+ x y))

simplify3.3s

Counts
49 → 49
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
072439
1198407
2766349
33936349
done5000349

prune97.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (* (+ x y) 2.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
32.0ms
(* x (* (+ x y) 2.0))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* x (* (+ x y) 2.0))

simplify1.5s

Counts
23 → 23
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
052242
1147223
2533185
32463185
done5002185

prune53.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x (- (* x x) (* y y))) 2.0)
0.0b
(- (* x x) (* y y))
4.6b
(* x (- (* x x) (* y y)))
18.3b
(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×pow1
add-cube-cbrt
associate-*r* prod-exp cbrt-unprod
associate-*r/ add-log-exp
flip3-- times-frac associate-/r* flip--
associate-*l* pow-prod-down associate-*l/ difference-of-squares
cbrt-undiv sub-neg div-exp
distribute-rgt-in distribute-lft-in associate-/r/ *-commutative associate-/l/ distribute-lft-out--
frac-2neg diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 89
Calls
4 calls:
54.0ms
(* (* x (- (* x x) (* y y))) 2.0)
15.0ms
(- (* x x) (* y y))
37.0ms
(* x (- (* x x) (* y y)))
79.0ms
(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

series255.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* x (- (* x x) (* y y))) 2.0)
37.0ms
(- (* x x) (* y y))
55.0ms
(* x (- (* x x) (* y y)))
90.0ms
(/ (* (* x (- (* x x) (* y y))) 2.0) (- x y))

simplify1.4s

Counts
101 → 101
Iterations

Useful iterations: 2 (325.0ms)

IterNodesCost
01411561
13771482
216381224
done50021224

prune221.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt x) (* (sqrt x) (* (+ x y) 2.0)))
0.1b
(* (sqrt x) (* (+ x y) 2.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ sqrt-prod
associate-*l/
flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
2 → 49
Calls
2 calls:
86.0ms
(* (sqrt x) (* (sqrt x) (* (+ x y) 2.0)))
36.0ms
(* (sqrt x) (* (+ x y) 2.0))

series124.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (sqrt x) (* (sqrt x) (* (+ x y) 2.0)))
70.0ms
(* (sqrt x) (* (+ x y) 2.0))

simplify3.6s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
094756
1274615
2955499
34663491
done5001491

prune127.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample1.4s

Algorithm
intervals
Results
916.0ms11077×body80valid