Details

Time bar (total: 13.8s)

sample29.0ms

Algorithm
intervals
Results
16.0ms339×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
92079
8770
7485
6383
5291
4237
3152
273
127
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
12.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 53
Calls
2 calls:
22.0ms
(* (* z z) (+ z 1.0))
20.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (* z z) (+ z 1.0))
95.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.3s

Counts
59 → 59
Iterations
IterNodes
done5043
22025
1373
0114

prune220.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.1b
(/ x (* z z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 110
Calls
3 calls:
9.0ms
(/ y (+ z 1.0))
40.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series152.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (+ z 1.0))
75.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
33.0ms
(/ x (* z z))

simplify1.5s

Counts
119 → 119
Iterations
IterNodes
done5002
22259
1532
0183

prune403.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.8b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×insert-posit16 associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 152
Calls
3 calls:
7.0ms
(/ y (+ z 1.0))
32.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
22.0ms
(* (/ x z) (/ y (+ z 1.0)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
50.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
52.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.7s

Counts
161 → 161
Iterations
IterNodes
done5051
22934
1772
0260

prune556.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (cbrt (/ x z)) (/ y (+ z 1.0)))
12.2b
(cbrt (/ x z))
12.2b
(cbrt (/ x z))
12.2b
(cbrt (/ x z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
56×cbrt-prod
53×times-frac
47×*-un-lft-identity
41×add-cube-cbrt
18×associate-*r*
16×associate-*l*
9×add-exp-log
7×add-cbrt-cube
6×pow1 unswap-sqr
5×cbrt-div div-inv
4×insert-posit16 add-log-exp
3×pow1/3 distribute-lft-out
2×prod-exp associate-/r/ cbrt-unprod
1×frac-times cbrt-undiv flip3-+ div-exp pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
4 → 126
Calls
4 calls:
28.0ms
(* (cbrt (/ x z)) (/ y (+ z 1.0)))
1.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))

series335.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (cbrt (/ x z)) (/ y (+ z 1.0)))
65.0ms
(cbrt (/ x z))
66.0ms
(cbrt (/ x z))
92.0ms
(cbrt (/ x z))

simplify2.4s

Counts
138 → 138
Iterations
IterNodes
done5010
34531
21269
1474
0193

prune795.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes286.0ms

Accuracy

9% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample962.0ms

Algorithm
intervals
Results
705.0ms10856×body80valid