Details

Time bar (total: 12.3s)

sample33.0ms

Algorithm
intervals
Results
21.0ms320×body80valid

simplify133.0ms

Counts
1 → 1
Iterations
IterNodes
done110
9110
8108
7102
687
573
458
339
225
115
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*l* associate-*r/ insert-posit16 flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 92
Calls
3 calls:
8.0ms
(/ t (- 1.0 z))
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
113.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series170.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ t (- 1.0 z))
46.0ms
(- (/ y z) (/ t (- 1.0 z)))
77.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.1s

Counts
101 → 101
Iterations
IterNodes
done5001
21403
1423
0173

prune498.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
2.7b
(* x (- (/ t (- 1.0 z))))
7.9b
(* x (/ y z))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
55×times-frac
41×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
12×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
7×pow1
6×associate-*l* associate-/r/
5×associate-/r*
4×div-inv
3×flip3-- prod-exp cbrt-unprod insert-posit16 flip-- associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative
1×clear-num neg-mul-1 frac-2neg distribute-rgt-neg-out distribute-neg-frac
Counts
3 → 135
Calls
3 calls:
8.0ms
(/ t (- 1.0 z))
48.0ms
(* x (- (/ t (- 1.0 z))))
18.0ms
(* x (/ y z))

series138.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ t (- 1.0 z))
72.0ms
(* x (- (/ t (- 1.0 z))))
28.0ms
(* x (/ y z))

simplify1.4s

Counts
144 → 144
Iterations
IterNodes
done5000
22670
1664
0249

prune708.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
2.7b
(* x (- (/ t (- 1.0 z))))
5.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
68×associate-*r*
58×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
17×cbrt-prod
10×associate-*l*
9×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp unswap-sqr
6×distribute-lft-out-- difference-of-squares
4×associate-/r/ insert-posit16 div-inv add-log-exp
2×flip3-- pow1/3 pow-prod-down associate-*r/ *-commutative flip--
1×frac-times neg-mul-1 associate-*l/ distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
46.0ms
(* x (- (/ t (- 1.0 z))))
43.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series653.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt z)
247.0ms
(cbrt z)
95.0ms
(* x (- (/ t (- 1.0 z))))
78.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.9s

Counts
160 → 160
Iterations
IterNodes
done5000
24757
1840
0275

prune924.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
2.7b
(* x (- (/ t (- 1.0 z))))
5.4b
(/ (* x y) z)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
55×*-un-lft-identity
48×times-frac
46×associate-*r*
35×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
12×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
8×associate-/r*
6×associate-/r/
5×pow1
4×div-inv associate-/l*
3×cbrt-undiv flip3-- div-exp associate-*l* insert-posit16 flip-- add-log-exp
2×clear-num frac-2neg prod-exp cbrt-unprod
1×neg-mul-1 pow-prod-down associate-*r/ *-commutative distribute-rgt-neg-out distribute-neg-frac unswap-sqr
Counts
3 → 124
Calls
3 calls:
13.0ms
(/ t (- 1.0 z))
35.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(/ (* x y) z)

series156.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ t (- 1.0 z))
79.0ms
(* x (- (/ t (- 1.0 z))))
36.0ms
(/ (* x y) z)

simplify1.2s

Counts
133 → 133
Iterations
IterNodes
done5001
22759
1613
0233

prune525.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes325.0ms

Accuracy

31.8% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 4.5b

bsearch134.0ms

Steps
ItersRangePoint
8
3.738211247293559e-227
9.565254902159982e-223
1.9645643022852117e-224
7
-8.964901439259961e+39
-3.8726318698656315e+38
-1.1367195932299341e+39

simplify17.0ms

Iterations
IterNodes
done65
365
262
153
035

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s10103×body80valid