Details

Time bar (total: 13.7s)

sample33.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify24.0ms

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

prune5.0ms

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))

rewrite34.0ms

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
expm1-log1p-u pow1 clear-num frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 28
Calls
1 calls:
32.0ms
(/ (* x 100.0) (+ x y))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ (* x 100.0) (+ x y))

simplify2.2s

Counts
31 → 31
Iterations
IterNodes
done5000
33530
2675
1168
061

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
flip3-+ associate-/r/ flip-+
Counts
2 → 121
Calls
2 calls:
23.0ms
(/ (+ x y) 100.0)
15.0ms
(/ x (/ (+ x y) 100.0))

series98.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ x y) 100.0)
66.0ms
(/ x (/ (+ x y) 100.0))

simplify2.2s

Counts
127 → 127
Iterations
IterNodes
done5001
34682
21262
1435
0175

prune443.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))))

rewrite159.0ms

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
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg associate-/r/ associate-/l/
flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 306
Calls
3 calls:
35.0ms
(/ (+ x y) (sqrt 100.0))
25.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
82.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series451.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(/ (+ x y) (sqrt 100.0))
142.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
179.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify1.8s

Counts
315 → 315
Iterations
IterNodes
done5017
22989
1876
0309

prune953.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize37.0ms

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)))))

rewrite212.0ms

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
expm1-log1p-u sqrt-pow1 pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
pow1/2 sqrt-div associate-/r/ *-commutative
Counts
4 → 274
Calls
4 calls:
70.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
80.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
18.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
30.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
203.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
124.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
120.0ms
(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

simplify1.8s

Counts
286 → 286
Iterations
IterNodes
done5003
22460
1653
0220

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample868.0ms

Algorithm
intervals
Results
698.0ms8000×body80valid