Details

Time bar (total: 14.3s)

sample40.0ms

Algorithm
intervals
Results
22.0ms325×body80valid

simplify2.7s

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: 15.2b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

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:
39.0ms
(* (* z z) (+ z 1.0))
40.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (* z z) (+ z 1.0))
92.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.4s

Counts
59 → 59
Iterations
IterNodes
done5043
22025
1373
0114

prune195.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.8b

localize23.0ms

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))

rewrite103.0ms

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:
16.0ms
(/ y (+ z 1.0))
69.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
13.0ms
(/ x (* z z))

series142.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ y (+ z 1.0))
59.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
31.0ms
(/ x (* z z))

simplify1.3s

Counts
119 → 119
Iterations
IterNodes
done5002
22259
1532
0183

prune503.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite55.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
50.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series790.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt x)
220.0ms
(cbrt x)
216.0ms
(cbrt x)
133.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify1.3s

Counts
115 → 115
Iterations
IterNodes
done5001
21838
1534
0182

prune542.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
3.2b
(cbrt (/ (cbrt x) z))
3.2b
(cbrt (/ (cbrt x) z))
3.2b
(cbrt (/ (cbrt x) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
54×times-frac
44×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×cbrt-div div-inv
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (/ (cbrt x) z))
6.0ms
(cbrt (/ (cbrt x) z))
5.0ms
(cbrt (/ (cbrt x) z))

series983.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt x)
222.0ms
(cbrt (/ (cbrt x) z))
255.0ms
(cbrt (/ (cbrt x) z))
254.0ms
(cbrt (/ (cbrt x) z))

simplify1.5s

Counts
120 → 120
Iterations
IterNodes
done5002
42452
3824
2354
1180
0112

prune734.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes380.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
974.0ms10921×body80valid