Details

Time bar (total: 31.6s)

sample26.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 43
Calls
1 calls:
37.0ms
(/ (+ x y) (+ y 1.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (+ x y) (+ y 1.0))

simplify4.7s

Counts
46 → 46
Iterations
IterNodes
done5015
32576
2671
1204
081

prune423.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (/ (+ x y) (+ y 1.0)))
0.0b
(/ (+ x y) (+ y 1.0))
1.3b
(expm1 (log1p (/ (+ x y) (+ y 1.0))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
5×add-cbrt-cube add-exp-log
4×expm1-log1p-u associate-/r* associate-/l*
3×pow1 insert-posit16 log1p-expm1-u add-log-exp
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg div-exp log1p-expm1 div-inv expm1-udef
Counts
3 → 67
Calls
3 calls:
1.0ms
(log1p (/ (+ x y) (+ y 1.0)))
37.0ms
(/ (+ x y) (+ y 1.0))
1.0ms
(expm1 (log1p (/ (+ x y) (+ y 1.0))))

series426.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(log1p (/ (+ x y) (+ y 1.0)))
63.0ms
(/ (+ x y) (+ y 1.0))
241.0ms
(expm1 (log1p (/ (+ x y) (+ y 1.0))))

simplify6.1s

Counts
76 → 76
Iterations
IterNodes
done5000
34100
21012
1348
0140

prune757.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))
0.1b
(* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))
0.1b
(* (/ (+ x y) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))))
20.7b
(cbrt (* (/ (+ x y) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))))

rewrite615.0ms

Algorithm
rewrite-expression-head
Rules
255×*-un-lft-identity
141×times-frac
82×add-sqr-sqrt distribute-lft-out
67×add-cube-cbrt
59×add-cbrt-cube add-exp-log
44×associate-*l*
42×swap-sqr
25×pow1
23×associate-*r*
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*r/
7×cbrt-div flip3-+ associate-*l/ flip-+
6×pow-prod-up div-inv unswap-sqr
4×expm1-log1p-u associate-/r* pow-prod-down insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×pow2 pow-plus cube-unmult pow-sqr *-commutative associate-/l/
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 250
Calls
4 calls:
41.0ms
(/ (+ x y) (+ y 1.0))
141.0ms
(* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))
213.0ms
(* (/ (+ x y) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))))
166.0ms
(cbrt (* (/ (+ x y) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))))

series439.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (+ x y) (+ y 1.0))
88.0ms
(* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))
186.0ms
(* (/ (+ x y) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))))
104.0ms
(cbrt (* (/ (+ x y) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)))))

simplify5.7s

Counts
262 → 262
Iterations
IterNodes
done5000
22779
1882
0267

prune2.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize118.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ y 1.0)))
0.1b
(/ (+ x y) (sqrt (+ y 1.0)))
1.0b
(* (/ 1 (sqrt (+ y 1.0))) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (+ y 1.0))))
20.0b
(cbrt (* (/ (+ x y) (+ y 1.0)) (* (/ 1 (sqrt (+ y 1.0))) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (+ y 1.0))))))

rewrite858.0ms

Algorithm
rewrite-expression-head
Rules
92×*-un-lft-identity
87×add-exp-log
70×times-frac
52×add-sqr-sqrt add-cube-cbrt
49×add-cbrt-cube
48×sqrt-prod
36×prod-exp
29×div-exp
27×associate-*l*
22×frac-times associate-*r/
20×distribute-lft-out
18×cbrt-unprod
15×cbrt-undiv cbrt-div
14×associate-/r*
11×pow1
10×associate-*l/
7×associate-/l*
6×rec-exp sqrt-div 1-exp associate-/r/
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down div-inv pow-flip
2×clear-num frac-2neg associate-/l/
1×cbrt-prod sqrt-pow1 pow1/2 pow1/3 associate-*r* *-commutative inv-pow
Counts
4 → 217
Calls
4 calls:
28.0ms
(/ 1 (sqrt (+ y 1.0)))
38.0ms
(/ (+ x y) (sqrt (+ y 1.0)))
267.0ms
(* (/ 1 (sqrt (+ y 1.0))) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (+ y 1.0))))
493.0ms
(cbrt (* (/ (+ x y) (+ y 1.0)) (* (/ 1 (sqrt (+ y 1.0))) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (+ y 1.0))))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ 1 (sqrt (+ y 1.0)))
118.0ms
(/ (+ x y) (sqrt (+ y 1.0)))
79.0ms
(* (/ 1 (sqrt (+ y 1.0))) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (+ y 1.0))))
84.0ms
(cbrt (* (/ (+ x y) (+ y 1.0)) (* (/ 1 (sqrt (+ y 1.0))) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (+ y 1.0))))))

simplify6.0s

Counts
229 → 229
Iterations
IterNodes
done5026
23438
1959
0356

prune1.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes405.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample622.0ms

Algorithm
intervals
Results
323.0ms8000×body80valid