Details

Time bar (total: 31.1s)

sample49.0ms

Algorithm
intervals
Results
17.0ms325×body80valid

simplify5.8s

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize42.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite116.0ms

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:
66.0ms
(* (* z z) (+ z 1.0))
46.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series240.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (* z z) (+ z 1.0))
163.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify3.1s

Counts
59 → 59
Iterations
IterNodes
done5009
22071
1373
0114

prune581.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.1b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.7b
(/ x (* z z))

rewrite137.0ms

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:
29.0ms
(/ y (+ z 1.0))
72.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
21.0ms
(/ x (* z z))

series237.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ y (+ z 1.0))
118.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
43.0ms
(/ x (* z z))

simplify3.8s

Counts
119 → 119
Iterations
IterNodes
done5006
22312
1536
0183

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.8b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
109.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
274.0ms
(cbrt x)
307.0ms
(cbrt x)
289.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify3.7s

Counts
115 → 115
Iterations
IterNodes
done5001
21840
1534
0182

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize185.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
2.0b
(* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) z) (/ y (+ z 1.0))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
36×add-cbrt-cube
27×prod-exp
22×div-exp
18×cbrt-unprod
16×associate-*l*
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv
12×cbrt-prod times-frac
9×pow1
5×frac-times 1-exp associate-*r/
4×insert-posit16 add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
3.0ms
(cbrt x)
3.0ms
(cbrt x)
3.0ms
(cbrt x)
135.0ms
(* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) z) (/ y (+ z 1.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
347.0ms
(cbrt x)
278.0ms
(cbrt x)
329.0ms
(cbrt x)
244.0ms
(* (/ (cbrt (* (cbrt x) (cbrt x))) 1) (* (/ (cbrt (cbrt x)) z) (/ y (+ z 1.0))))

simplify3.7s

Counts
108 → 108
Iterations
IterNodes
done5001
22221
1589
0192

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
683.0ms10921×body80valid