Details

Time bar (total: 12.1s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (* x 100.0) (+ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
17.0ms
(/ (* x 100.0) (+ x y))

series867.0ms

Counts
1 → 3
Calls
1 calls:
867.0ms
(/ (* x 100.0) (+ x y))

simplify2.0s

Counts
30 → 30
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
060287
1155274
2546234
32327234
done5000234

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 100.0 (+ x y))
0.2b
(* x (/ 100.0 (+ x y)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*l* associate-/l*
cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
21.0ms
(/ 100.0 (+ x y))
52.0ms
(* x (/ 100.0 (+ x y)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 100.0 (+ x y))
53.0ms
(* x (/ 100.0 (+ x y)))

simplify2.5s

Counts
80 → 80
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
0100735
1225689
2602631
31620631
done5001631

prune198.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt 100.0) (+ x y))
0.3b
(* (* x (sqrt 100.0)) (/ (sqrt 100.0) (+ x y)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
48×times-frac
34×add-sqr-sqrt add-cube-cbrt
30×associate-*r*
27×sqrt-prod
16×add-exp-log add-cbrt-cube
13×distribute-lft-out
pow1
prod-exp cbrt-unprod associate-/l*
associate-/r* associate-/r/
cbrt-undiv div-exp pow-prod-down
expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
19.0ms
(/ (sqrt 100.0) (+ x y))
59.0ms
(* (* x (sqrt 100.0)) (/ (sqrt 100.0) (+ x y)))

series334.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(/ (sqrt 100.0) (+ x y))
227.0ms
(* (* x (sqrt 100.0)) (/ (sqrt 100.0) (+ x y)))

simplify1.7s

Counts
108 → 108
Iterations

Useful iterations: 2 (253.0ms)

IterNodesCost
01271372
13251125
212691027
done50001027

prune250.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (sqrt 100.0))
0.2b
(* x (/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0))))
0.3b
(/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
682×times-frac
501×*-un-lft-identity
355×add-sqr-sqrt
347×sqrt-prod
331×add-cube-cbrt
173×associate-*r*
85×distribute-lft-out
34×associate-/r*
19×add-exp-log add-cbrt-cube
16×div-inv
10×associate-/l*
cbrt-undiv div-exp unswap-sqr
pow1
expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
frac-2neg clear-num associate-/r/ associate-/l/
flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
Counts
3 → 470
Calls
3 calls:
31.0ms
(/ (+ x y) (sqrt 100.0))
94.0ms
(* x (/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0))))
28.0ms
(/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0)))

series396.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(/ (+ x y) (sqrt 100.0))
150.0ms
(* x (/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0))))
142.0ms
(/ (sqrt 100.0) (/ (+ x y) (sqrt 100.0)))

simplify1.9s

Counts
479 → 479
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03958257
19087028
227946324
done50006210

prune778.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample495.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid