Details

Time bar (total: 12.9s)

sample35.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify25.0ms

Counts
1 → 1
Iterations
IterNodes
done28
328
224
116
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u associate-/r* associate-*r* associate-*l* insert-posit16 log1p-expm1-u associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 70
Calls
3 calls:
11.0ms
(* 1.1283791670955126 (exp z))
12.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
41.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series204.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* 1.1283791670955126 (exp z))
71.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
112.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.2s

Counts
79 → 79
Iterations
IterNodes
done5003
33122
2923
1309
0132

prune397.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126)
0.6b
(- (fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126) (* x y))
8.4b
(/ y (- (fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126) (* x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u pow1 associate-/r* fma-neg prod-diff insert-posit16 log1p-expm1-u associate-/l*
2×flip3-- associate-/r/ fma-udef flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp associate--l+ div-inv
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126)
6.0ms
(- (fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126) (* x y))
14.0ms
(/ y (- (fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126) (* x y)))

series462.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126)
75.0ms
(- (fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126) (* x y))
346.0ms
(/ y (- (fma z (fma z 0.5641895835477563 1.1283791670955126) 1.1283791670955126) (* x y)))

simplify2.4s

Counts
74 → 74
Iterations
IterNodes
done5001
33155
2779
1258
0116

prune331.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.4b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126)
8.4b
(/ (- y) (fma y x (- (fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1 add-cbrt-cube add-exp-log
3×associate-/r*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 cbrt-undiv clear-num frac-2neg div-sub div-exp distribute-frac-neg fma-udef div-inv
Counts
2 → 71
Calls
2 calls:
0.0ms
(fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126)
8.0ms
(/ (- y) (fma y x (- (fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126))))

series149.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126)
110.0ms
(/ (- y) (fma y x (- (fma z (fma 0.5641895835477563 z 1.1283791670955126) 1.1283791670955126))))

simplify1.7s

Counts
77 → 77
Iterations
IterNodes
done5001
31859
2630
1273
0135

prune386.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
43.4b
(posit16->real (real->posit16 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube
7×add-exp-log
6×pow1 add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod div-inv remove-posit16 unswap-sqr
Counts
4 → 81
Calls
4 calls:
11.0ms
(* 1.1283791670955126 (exp z))
20.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
0.0ms
(posit16->real (real->posit16 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 1.1283791670955126 (exp z))
98.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
100.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
91.0ms
(posit16->real (real->posit16 (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
done5009
33310
2945
1321
0143

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.4b

regimes398.0ms

Accuracy

81.8% (1.4b remaining)

Error of 3.1b against oracle of 1.7b and baseline of 9.3b

bsearch3.0ms

simplify14.0ms

Iterations
IterNodes
done41
141
034

end0.0ms

sample721.0ms

Algorithm
intervals
Results
548.0ms8000×body80valid