Details

Time bar (total: 15.1s)

sample38.0ms

Algorithm
intervals
Results
18.0ms359×body80valid

simplify120.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1147
2337
3737
41097
51217
61237
done1237

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
28.0ms
(* x (- x y))
46.0ms
(* (* x (- x y)) 2.0)

series100.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- x y))
58.0ms
(* (* x (- x y)) 2.0)

simplify4.3s

Counts
74 → 74
Iterations

Useful iterations: done (4.2s)

IterNodesCost
0128982
1267790
2726656
33249598
done5000544

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u add-log-exp
Counts
1 → 22
Calls
1 calls:
71.0ms
(* x (* (- x y) 2.0))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* x (* (- x y) 2.0))

simplify1.9s

Counts
25 → 25
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
054258
1143245
2500201
32426201
done5000201

prune62.0ms

Pruning

3 alts after pruning (2 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))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×distribute-lft-neg-out expm1-log1p-u distribute-rgt-out flip3-+ associate-*l/ flip-+ log1p-expm1-u
1×+-commutative fma-def unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
50.0ms
(* (+ (* x x) (* (- y) x)) 2.0)
8.0ms
(+ (* x x) (* (- y) x))

series135.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (+ (* x x) (* (- y) x)) 2.0)
62.0ms
(+ (* x x) (* (- y) x))

simplify3.3s

Counts
46 → 46
Iterations

Useful iterations: done (3.3s)

IterNodesCost
066555
1181399
2735353
33357345
done5000344

prune120.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x y))
0.2b
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
7.1b
(sqrt (* x (- x y)))
7.1b
(sqrt (* x (- x y)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
28×add-sqr-sqrt
24×*-un-lft-identity
23×pow-prod-down
22×add-cube-cbrt
20×associate-*r/
18×prod-diff
16×sqrt-div
12×pow1/2
11×distribute-rgt-in distribute-lft-in
10×pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×sub-neg associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
24.0ms
(* x (- x y))
76.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
21.0ms
(sqrt (* x (- x y)))
27.0ms
(sqrt (* x (- x y)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* x (- x y))
57.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
100.0ms
(sqrt (* x (- x y)))
99.0ms
(sqrt (* x (- x y)))

simplify2.8s

Counts
147 → 147
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01731909
13171352
27841210
330641126
done50001124

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample971.0ms

Algorithm
intervals
Results
489.0ms11068×body80valid