Details

Time bar (total: 14.2s)

sample40.0ms

Algorithm
intervals
Results
18.0ms353×body80valid

simplify197.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1147
2337
3737
41097
51217
61237
done1237

prune8.0ms

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

rewrite92.0ms

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:
45.0ms
(* (* x (- x y)) 2.0)
44.0ms
(* x (- x y))

series118.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (* x (- x y)) 2.0)
58.0ms
(* x (- x y))

simplify4.1s

Counts
74 → 74
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0128982
1267790
2727640
33224598
done5000544

prune98.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite56.0ms

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:
55.0ms
(* x (* (- x y) 2.0))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* x (* (- x y) 2.0))

simplify1.8s

Counts
25 → 25
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
054258
1143245
2500201
32426201
done5000201

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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:
15.0ms
(+ (* x x) (* (- y) x))
51.0ms
(* (+ (* x x) (* (- y) x)) 2.0)

series127.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x x) (* (- y) x))
76.0ms
(* (+ (* x x) (* (- y) x)) 2.0)

simplify2.9s

Counts
46 → 46
Iterations

Useful iterations: done (2.9s)

IterNodesCost
066555
1181399
2738349
33395345
done5000344

prune84.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x y))
0.2b
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
6.8b
(sqrt (* x (- x y)))
6.8b
(sqrt (* x (- x y)))

rewrite136.0ms

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:
28.0ms
(* x (- x y))
64.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
18.0ms
(sqrt (* x (- x y)))
18.0ms
(sqrt (* x (- x y)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (- x y))
67.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
93.0ms
(sqrt (* x (- x y)))
84.0ms
(sqrt (* x (- x y)))

simplify2.6s

Counts
147 → 147
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01731909
13171352
27841210
330641126
done50001124

prune362.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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
187
done87

end0.0ms

sample884.0ms

Algorithm
intervals
Results
523.0ms11091×body80valid