Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

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 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
16.0ms
(/ (* x 100.0) (+ x y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (* x 100.0) (+ x y))

simplify65.0ms

Counts
28 → 28

prune53.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 100.0 (+ x y))
0.1b
(* x (/ 100.0 (+ x y)))

rewrite42.0ms

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 flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
11.0ms
(/ 100.0 (+ x y))
28.0ms
(* x (/ 100.0 (+ x y)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 100.0 (+ x y))
56.0ms
(* x (/ 100.0 (+ x y)))

simplify87.0ms

Counts
76 → 76

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
add-exp-log add-cbrt-cube
associate-/l*
div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
18.0ms
(/ (+ x y) 100.0)
17.0ms
(/ x (/ (+ x y) 100.0))

series85.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (+ x y) 100.0)
56.0ms
(/ x (/ (+ x y) 100.0))

simplify45.0ms

Counts
121 → 121

prune209.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (sqrt 100.0))
0.1b
(/ x (/ (+ x y) (sqrt 100.0)))
0.2b
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
283×*-un-lft-identity
211×add-sqr-sqrt
185×add-cube-cbrt
108×sqrt-prod
89×associate-*r*
49×distribute-lft-out
34×associate-/r*
19×add-exp-log add-cbrt-cube
10×div-inv
unswap-sqr
cbrt-undiv div-exp associate-/l*
associate-*l*
pow1
prod-exp cbrt-unprod add-log-exp
frac-2neg clear-num associate-/r/ associate-/l/
flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
Counts
3 → 297
Calls
3 calls:
20.0ms
(/ (+ x y) (sqrt 100.0))
22.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
70.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series342.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(/ (+ x y) (sqrt 100.0))
94.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
153.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify92.0ms

Counts
306 → 306

prune500.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample469.0ms

Algorithm
intervals
Results
220.0ms8000×body80valid