Details

Time bar (total: 30.3s)

sample35.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify46.0ms

Counts
1 → 1
Iterations
IterNodes
done18
518
417
315
212
110
06

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-cbrt-cube add-exp-log
associate-/r* times-frac
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
33.0ms
(/ (* x 100.0) (+ x y))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (* x 100.0) (+ x y))

simplify5.3s

Counts
29 → 29
Iterations
IterNodes
done5116
33583
2660
1165
059

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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-cbrt-cube add-exp-log
associate-/l*
div-inv
cbrt-undiv div-exp
pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
flip3-+ associate-/r/ flip-+
Counts
2 → 117
Calls
2 calls:
25.0ms
(/ (+ x y) 100.0)
21.0ms
(/ x (/ (+ x y) 100.0))

series124.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (+ x y) 100.0)
72.0ms
(/ x (/ (+ x y) 100.0))

simplify5.7s

Counts
123 → 123
Iterations
IterNodes
done5002
34517
21235
1432
0171

prune916.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))))

rewrite266.0ms

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-cbrt-cube add-exp-log
10×div-inv
unswap-sqr
cbrt-undiv div-exp associate-/l*
associate-*l*
pow1
prod-exp cbrt-unprod insert-posit16 add-log-exp
clear-num frac-2neg associate-/r/ associate-/l/
flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 300
Calls
3 calls:
35.0ms
(/ (+ x y) (sqrt 100.0))
40.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
144.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series449.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(/ (+ x y) (sqrt 100.0))
132.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
189.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify4.7s

Counts
309 → 309
Iterations
IterNodes
done5003
22856
1872
0303

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
0.1b
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
7.9b
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
7.9b
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
332×times-frac
228×*-un-lft-identity
208×add-sqr-sqrt
178×associate-*r*
156×add-cube-cbrt
92×sqrt-prod
36×distribute-lft-out
22×add-cbrt-cube add-exp-log
16×unswap-sqr
14×pow1
12×associate-*l*
div-inv
cbrt-undiv div-exp prod-exp cbrt-unprod
sqrt-pow1 pow-prod-down associate-*r/ insert-posit16 add-log-exp
pow1/2 sqrt-div associate-/r/ *-commutative
Counts
4 → 266
Calls
4 calls:
116.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
123.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
43.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
32.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

series845.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
241.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
186.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
166.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

simplify4.9s

Counts
278 → 278
Iterations
IterNodes
done5006
22595
1647
0216

prune2.7s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes432.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample562.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid