Details

Time bar (total: 14.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms353×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1187
2367
3557
done557

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite111.0ms

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:
43.0ms
(* x (+ x y))
67.0ms
(* (* x (+ x y)) 2.0)

series93.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (+ x y))
53.0ms
(* (* x (+ x y)) 2.0)

simplify4.0s

Counts
49 → 49
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
072439
1198407
2766349
33964349
done5000349

prune133.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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:
43.0ms
(* x (* (+ x y) 2.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* x (* (+ x y) 2.0))

simplify2.1s

Counts
23 → 23
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
052242
1147223
2533185
32463185
done5002185

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
associate-*r*
distribute-rgt-out flip3-+ associate-*l/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
31.0ms
(* (+ (* x x) (* y x)) 2.0)
17.0ms
(+ (* x x) (* y x))

series99.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (+ (* x x) (* y x)) 2.0)
42.0ms
(+ (* x x) (* y x))

simplify2.7s

Counts
39 → 39
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
061469
1164365
2641317
32659317
done5000317

prune116.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y x))
0.2b
(* (sqrt (+ (* x x) (* y x))) (* (sqrt (* x (+ x y))) 2.0))
6.6b
(sqrt (+ (* x x) (* y x)))
6.6b
(sqrt (* x (+ x y)))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
13×pow1
10×associate-*r/
add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
add-sqr-sqrt associate-*l/
add-cube-cbrt *-un-lft-identity associate-*l*
add-log-exp
frac-times pow-prod-down
distribute-rgt-out sqrt-pow1 prod-exp cbrt-unprod
pow1/2
+-commutative rem-sqrt-square associate-*r* sum-log *-commutative
Counts
4 → 71
Calls
4 calls:
17.0ms
(+ (* x x) (* y x))
226.0ms
(* (sqrt (+ (* x x) (* y x))) (* (sqrt (* x (+ x y))) 2.0))
20.0ms
(sqrt (+ (* x x) (* y x)))
7.0ms
(sqrt (* x (+ x y)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x x) (* y x))
118.0ms
(* (sqrt (+ (* x x) (* y x))) (* (sqrt (* x (+ x y))) 2.0))
108.0ms
(sqrt (+ (* x x) (* y x)))
69.0ms
(sqrt (* x (+ x y)))

simplify2.8s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01311385
1337983
2981885
33231879
done5002879

prune266.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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: 1 (1.0ms)

IterNodesCost
089
1137
done137

end0.0ms

sample1.3s

Algorithm
intervals
Results
852.0ms11091×body80valid