Details

Time bar (total: 13.8s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (* x 100.0) (+ x y))

rewrite27.0ms

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:
26.0ms
(/ (* x 100.0) (+ x y))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (* x 100.0) (+ x y))

simplify2.4s

Counts
30 → 30
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
060287
1155274
2546234
32327234
done5000234

prune89.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
12.0ms
(/ 100.0 (+ x y))
33.0ms
(* x (/ 100.0 (+ x y)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ 100.0 (+ x y))
82.0ms
(* x (/ 100.0 (+ x y)))

simplify2.8s

Counts
80 → 80
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
0100735
1225689
2602631
31620631
done5001631

prune196.0ms

Pruning

6 alts after pruning (5 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))

rewrite64.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
flip3-+ associate-/r/ flip-+
Counts
2 → 119
Calls
2 calls:
41.0ms
(/ (+ x y) 100.0)
17.0ms
(/ x (/ (+ x y) 100.0))

series142.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (+ x y) 100.0)
81.0ms
(/ x (/ (+ x y) 100.0))

simplify2.6s

Counts
125 → 125
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01731634
13721511
211211439
332441437
done50001437

prune363.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))
0.1b
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

rewrite197.0ms

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
expm1-log1p-u 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 → 303
Calls
3 calls:
36.0ms
(/ (+ x y) (sqrt 100.0))
27.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
110.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series571.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(/ (+ x y) (sqrt 100.0))
157.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
253.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify2.4s

Counts
312 → 312
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03074851
17024288
226054074
done50004020

prune886.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample591.0ms

Algorithm
intervals
Results
388.0ms8000×body80valid