Details

Time bar (total: 17.8s)

sample53.0ms

Algorithm
intervals
Results
37.0ms339×body80valid

simplify4.3s

Counts
1 → 1
Iterations
IterNodes
done5005
93854
81149
7614
6463
5352
4267
3175
277
127
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
12.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite91.0ms

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×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 times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 57
Calls
2 calls:
46.0ms
(* (* z z) (+ z 1.0))
41.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (* z z) (+ z 1.0))
116.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.6s

Counts
63 → 63
Iterations
IterNodes
done5102
22260
1380
0118

prune312.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.1b
(/ x (* z z))

rewrite67.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 116
Calls
3 calls:
9.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0ms
(/ x (* z z))

series165.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ z 1.0))
88.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
36.0ms
(/ x (* z z))

simplify1.4s

Counts
125 → 125
Iterations
IterNodes
done5001
22335
1555
0189

prune595.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.8b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 158
Calls
3 calls:
13.0ms
(/ y (+ z 1.0))
373.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
33.0ms
(* (/ x z) (/ y (+ z 1.0)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ y (+ z 1.0))
70.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
66.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.6s

Counts
167 → 167
Iterations
IterNodes
done5049
22958
1780
0266

prune652.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ x z) (/ y (+ z 1.0)))
21.2b
(cbrt (* (/ x z) (/ y (+ z 1.0))))
21.2b
(cbrt (* (/ x z) (/ y (+ z 1.0))))
21.2b
(cbrt (* (/ x z) (/ y (+ z 1.0))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity times-frac
19×add-cube-cbrt
18×associate-*r*
16×add-cbrt-cube add-exp-log
13×associate-*l*
9×cbrt-div
6×pow1
4×expm1-log1p-u frac-times cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-prod pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 103
Calls
4 calls:
37.0ms
(* (/ x z) (/ y (+ z 1.0)))
8.0ms
(cbrt (* (/ x z) (/ y (+ z 1.0))))
10.0ms
(cbrt (* (/ x z) (/ y (+ z 1.0))))
10.0ms
(cbrt (* (/ x z) (/ y (+ z 1.0))))

series953.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (/ x z) (/ y (+ z 1.0)))
276.0ms
(cbrt (* (/ x z) (/ y (+ z 1.0))))
323.0ms
(cbrt (* (/ x z) (/ y (+ z 1.0))))
273.0ms
(cbrt (* (/ x z) (/ y (+ z 1.0))))

simplify2.1s

Counts
115 → 115
Iterations
IterNodes
done5000
21995
1578
0209

prune798.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes338.0ms

Accuracy

36.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.0b

bsearch57.0ms

Steps
ItersRangePoint
8
-7.889956267885457e-306
3.9416083517824626e-308
1.4340218294944e-310

simplify6.0ms

Iterations
IterNodes
done26
126
018

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s10856×body80valid