Details

Time bar (total: 17.2s)

sample46.0ms

Algorithm
intervals
Results
22.0ms346×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
81978
7763
6513
5402
4272
3166
276
127
09

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ x z) (+ z 1.0))
4.5b
(* (/ y z) (/ (/ x z) (+ z 1.0)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
154×*-un-lft-identity
121×add-sqr-sqrt
100×add-cube-cbrt
58×associate-*r*
28×add-cbrt-cube add-exp-log
27×distribute-lft-out
13×associate-*l* associate-/l*
12×cbrt-undiv div-exp div-inv
6×prod-exp cbrt-unprod unswap-sqr
4×pow1 associate-/r* associate-/r/
2×flip3-+ flip-+ add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 187
Calls
2 calls:
18.0ms
(/ (/ x z) (+ z 1.0))
85.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ (/ x z) (+ z 1.0))
104.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

simplify526.0ms

Counts
193 → 193
Iterations
IterNodes
done5000
1963
0299

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ 1 z) (+ z 1.0))
2.8b
(* (* (/ x z) y) (/ (/ 1 z) (+ z 1.0)))
3.5b
(* (/ x z) y)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
156×*-un-lft-identity
107×add-sqr-sqrt
102×add-cube-cbrt
77×add-exp-log
61×associate-*r*
49×add-cbrt-cube
30×div-exp
27×prod-exp distribute-lft-out
17×cbrt-unprod
16×cbrt-undiv
14×associate-*l*
13×associate-/l*
12×div-inv
10×pow1
4×rec-exp associate-/r* 1-exp pow-prod-down associate-*l/ associate-/r/
3×add-log-exp
2×flip3-+ *-commutative flip-+ unswap-sqr
1×frac-times clear-num frac-2neg associate-*r/ associate-/l/
Counts
3 → 216
Calls
3 calls:
17.0ms
(/ (/ 1 z) (+ z 1.0))
85.0ms
(* (* (/ x z) y) (/ (/ 1 z) (+ z 1.0)))
16.0ms
(* (/ x z) y)

series192.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (/ 1 z) (+ z 1.0))
102.0ms
(* (* (/ x z) y) (/ (/ 1 z) (+ z 1.0)))
40.0ms
(* (/ x z) y)

simplify375.0ms

Counts
225 → 225
Iterations
IterNodes
done5000
11027
0319

prune877.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ (/ (* (/ x z) y) z) (+ z 1.0))
1.5b
(/ (* (/ x z) y) z)
3.5b
(* (/ x z) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
47×*-un-lft-identity
36×add-sqr-sqrt
31×add-cbrt-cube add-exp-log add-cube-cbrt
13×cbrt-undiv div-exp associate-*l*
8×div-inv distribute-lft-out associate-/l*
7×associate-/r*
6×prod-exp cbrt-unprod
5×pow1
3×associate-*r* add-log-exp
2×clear-num frac-2neg associate-*l/ associate-/r/ unswap-sqr associate-/l/
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
3 → 116
Calls
3 calls:
35.0ms
(/ (/ (* (/ x z) y) z) (+ z 1.0))
15.0ms
(/ (* (/ x z) y) z)
16.0ms
(* (/ x z) y)

series519.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (/ (* (/ x z) y) z) (+ z 1.0))
381.0ms
(/ (* (/ x z) y) z)
47.0ms
(* (/ x z) y)

simplify1.8s

Counts
125 → 125
Iterations
IterNodes
done5002
23496
1537
0198

prune725.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (/ (/ x z) (/ z y)) (+ z 1.0))
3.5b
(/ (/ x z) (/ z y))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
3132×times-frac
1638×*-un-lft-identity
1288×add-sqr-sqrt add-cube-cbrt
187×associate-/l*
175×distribute-lft-out
165×div-inv
32×add-cbrt-cube add-exp-log
21×cbrt-undiv div-exp
17×associate-/r*
8×associate-/r/
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-+ flip-+
Counts
2 → 1112
Calls
2 calls:
61.0ms
(/ (/ (/ x z) (/ z y)) (+ z 1.0))
14.0ms
(/ (/ x z) (/ z y))

series151.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (/ (/ x z) (/ z y)) (+ z 1.0))
60.0ms
(/ (/ x z) (/ z y))

simplify1.6s

Counts
1118 → 1118
Iterations
IterNodes
done5001
14374
01584

prune5.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes321.0ms

Accuracy

26.9% (3.7b remaining)

Error of 3.8b against oracle of 0.0b and baseline of 5.1b

bsearch89.0ms

Steps
ItersRangePoint
10
631776370996477.2
6.489369345543714e+28
4.550397152155922e+20

simplify5.0ms

Iterations
IterNodes
done31
131
024

end0.0ms

sample893.0ms

Algorithm
intervals
Results
615.0ms10762×body80valid