Details

Time bar (total: 13.1s)

sample52.0ms

Algorithm
intervals
Results
23.0ms352×body80valid

simplify1.6s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ x z) (+ z 1.0))
3.4b
(* (/ y z) (/ (/ x z) (+ z 1.0)))

rewrite122.0ms

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:
21.0ms
(/ (/ x z) (+ z 1.0))
83.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (/ x z) (+ z 1.0))
71.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

simplify481.0ms

Counts
193 → 193
Iterations
IterNodes
done5000
1963
0299

prune946.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ z 1.0))
0.8b
(/ (* y (/ x (* z (+ z 1.0)))) z)
4.0b
(* y (/ x (* z (+ z 1.0))))
4.3b
(/ x (* z (+ z 1.0)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
17×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*r* add-cube-cbrt
10×cbrt-undiv div-exp prod-exp cbrt-unprod
9×times-frac
8×pow1 associate-*r/
6×associate-*l*
4×associate-/r* associate-/r/ associate-/l* add-log-exp
3×flip3-+ flip-+ div-inv
2×clear-num frac-2neg pow-prod-down *-commutative unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out associate-/l/
Counts
4 → 101
Calls
4 calls:
29.0ms
(* z (+ z 1.0))
47.0ms
(/ (* y (/ x (* z (+ z 1.0)))) z)
28.0ms
(* y (/ x (* z (+ z 1.0))))
9.0ms
(/ x (* z (+ z 1.0)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* z (+ z 1.0))
91.0ms
(/ (* y (/ x (* z (+ z 1.0)))) z)
87.0ms
(* y (/ x (* z (+ z 1.0))))
50.0ms
(/ x (* z (+ z 1.0)))

simplify1.8s

Counts
113 → 113
Iterations
IterNodes
done5000
23695
1548
0181

prune618.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.8b
(/ (* y (/ x z)) (+ 1.0 z))
0.8b
(/ (pow (/ (* y (/ x z)) (+ 1.0 z)) 1) z)
4.5b
(* y (/ x z))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
52×*-un-lft-identity
45×add-sqr-sqrt
40×unpow-prod-down add-cube-cbrt
34×add-exp-log
19×add-cbrt-cube
15×div-exp associate-/l*
13×associate-*r*
10×associate-/r/
7×associate-/r* div-inv
6×cbrt-undiv prod-exp distribute-lft-out
5×pow1 flip3-+ flip-+
4×pow-exp cbrt-unprod sqr-pow
3×associate-*l* add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-to-exp pow-prod-down *-commutative associate-/l/
Counts
3 → 136
Calls
3 calls:
26.0ms
(/ (* y (/ x z)) (+ 1.0 z))
41.0ms
(/ (pow (/ (* y (/ x z)) (+ 1.0 z)) 1) z)
24.0ms
(* y (/ x z))

series204.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* y (/ x z)) (+ 1.0 z))
84.0ms
(/ (pow (/ (* y (/ x z)) (+ 1.0 z)) 1) z)
31.0ms
(* y (/ x z))

simplify1.7s

Counts
145 → 145
Iterations
IterNodes
done5001
23557
1700
0274

prune868.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ 1.0 z))
0.5b
(/ 1 (/ z (* (/ y (+ 1.0 z)) (/ x z))))
0.9b
(/ z (* (/ y (+ 1.0 z)) (/ x z)))
1.7b
(* (/ y (+ 1.0 z)) (/ x z))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
82×times-frac
63×*-un-lft-identity
61×add-sqr-sqrt add-cbrt-cube
53×div-exp
49×add-cube-cbrt
29×cbrt-undiv
20×prod-exp associate-/r/
18×associate-*l*
15×associate-/r*
13×associate-*r*
12×cbrt-unprod
9×div-inv associate-/l*
7×pow1 distribute-lft-out
6×frac-times rec-exp 1-exp associate-*l/ associate-*r/
4×add-log-exp unswap-sqr
3×clear-num frac-2neg
2×flip3-+ flip-+
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 198
Calls
4 calls:
11.0ms
(/ y (+ 1.0 z))
42.0ms
(/ 1 (/ z (* (/ y (+ 1.0 z)) (/ x z))))
21.0ms
(/ z (* (/ y (+ 1.0 z)) (/ x z)))
41.0ms
(* (/ y (+ 1.0 z)) (/ x z))

series299.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ y (+ 1.0 z))
73.0ms
(/ 1 (/ z (* (/ y (+ 1.0 z)) (/ x z))))
88.0ms
(/ z (* (/ y (+ 1.0 z)) (/ x z)))
77.0ms
(* (/ y (+ 1.0 z)) (/ x z))

simplify598.0ms

Counts
210 → 210
Iterations
IterNodes
done5000
1950
0319

prune970.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s10881×body80valid