Details

Time bar (total: 11.9s)

sample35.0ms

Algorithm
intervals
Results
23.0ms275×body80valid

simplify110.0ms

Counts
1 → 1
Iterations
IterNodes
done144
6144
5140
4100
367
240
121
09

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 2 expressions with local error:

3.4b
(* y (+ 1.0 (* z z)))
4.4b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
2 → 76
Calls
2 calls:
18.0ms
(* y (+ 1.0 (* z z)))
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series150.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* y (+ 1.0 (* z z)))
77.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.4s

Counts
82 → 82
Iterations
IterNodes
done5002
21637
1434
0162

prune369.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (* (fma z z 1.0) x))
3.0b
(* (/ 1 y) (/ 1.0 (* (fma z z 1.0) x)))
3.8b
(* (fma z z 1.0) x)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×div-exp associate-*l* add-cube-cbrt
10×associate-*r* cbrt-unprod
9×cbrt-undiv
7×pow1
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
2×pow-prod-down *-commutative
1×frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/
Counts
3 → 101
Calls
3 calls:
9.0ms
(/ 1.0 (* (fma z z 1.0) x))
32.0ms
(* (/ 1 y) (/ 1.0 (* (fma z z 1.0) x)))
12.0ms
(* (fma z z 1.0) x)

series227.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ 1.0 (* (fma z z 1.0) x))
88.0ms
(* (/ 1 y) (/ 1.0 (* (fma z z 1.0) x)))
64.0ms
(* (fma z z 1.0) x)

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done5000
21860
1489
0187

prune376.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1.0 (fma z z 1.0))
2.9b
(/ (/ (/ 1.0 (fma z z 1.0)) x) y)
3.9b
(/ (/ 1.0 (fma z z 1.0)) x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
237×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
59×associate-/l*
23×div-inv
19×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
9×associate-/r*
3×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
2×associate-/l/
Counts
3 → 298
Calls
3 calls:
4.0ms
(/ 1.0 (fma z z 1.0))
12.0ms
(/ (/ (/ 1.0 (fma z z 1.0)) x) y)
8.0ms
(/ (/ 1.0 (fma z z 1.0)) x)

series525.0ms

Counts
3 → 9
Calls
3 calls:
372.0ms
(/ 1.0 (fma z z 1.0))
95.0ms
(/ (/ (/ 1.0 (fma z z 1.0)) x) y)
58.0ms
(/ (/ 1.0 (fma z z 1.0)) x)

simplify1.9s

Counts
307 → 307
Iterations
IterNodes
done5000
24250
11187
0518

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.8b

localize19.0ms

Local error

Found 2 expressions with local error:

3.1b
(/ (/ 1.0 y) (* (fma z z 1.0) x))
3.8b
(* (fma z z 1.0) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
2 → 70
Calls
2 calls:
16.0ms
(/ (/ 1.0 y) (* (fma z z 1.0) x))
10.0ms
(* (fma z z 1.0) x)

series163.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (/ 1.0 y) (* (fma z z 1.0) x))
72.0ms
(* (fma z z 1.0) x)

simplify1.4s

Counts
76 → 76
Iterations
IterNodes
done5002
21287
1364
0157

prune382.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.8b

regimes524.0ms

Accuracy

0% (1.4b remaining)

Error of 6.4b against oracle of 5.1b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
938.0ms8597×body80valid