Details

Time bar (total: 7.3s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify32.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
19.0ms
(/ (* x 100.0) (+ x y))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (* x 100.0) (+ x y))

simplify1.0s

Counts
28 → 28

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r*
16×*-un-lft-identity
15×add-sqr-sqrt
13×times-frac
10×add-cube-cbrt
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l* distribute-lft-out
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-+ associate-*r/ div-exp pow-prod-down *-commutative flip-+ div-inv add-log-exp
Counts
1 → 37
Calls
1 calls:
35.0ms
(* x (/ 100.0 (+ x y)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* x (/ 100.0 (+ x y)))

simplify1.4s

Counts
40 → 40

prune83.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
25.0ms
(/ (+ x y) 100.0)
15.0ms
(/ x (/ (+ x y) 100.0))

series115.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (+ x y) 100.0)
76.0ms
(/ x (/ (+ x y) 100.0))

simplify708.0ms

Counts
121 → 121

prune284.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

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
8×unswap-sqr
7×cbrt-undiv div-exp associate-/l*
6×associate-*l*
5×pow1
3×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/ associate-/l/
1×flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
Counts
3 → 297
Calls
3 calls:
35.0ms
(/ (+ x y) (sqrt 100.0))
23.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
68.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series381.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(/ (+ x y) (sqrt 100.0))
121.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
160.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify1.5s

Counts
306 → 306

prune640.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify28.0ms

end0.0ms

sample609.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid