Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

339×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	1929
8	769
7	500
6	391
5	317
4	249
3	162
2	75
1	27
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

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:

40.0ms	(* (* z z) (+ z 1.0))
36.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (* z z) (+ z 1.0))
93.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5125
2	2135
1	380
0	118

prune248.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.8b

localize15.0ms

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))

rewrite51.0ms

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:

8.0ms	(/ y (+ z 1.0))
34.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0ms	(/ x (* z z))

series155.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ y (+ z 1.0))
80.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
34.0ms	(/ x (* z z))

simplify1.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2371
1	555
0	189

prune524.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite71.0ms

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:

8.0ms	(/ y (+ z 1.0))
39.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
22.0ms	(* (/ x z) (/ y (+ z 1.0)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ y (+ z 1.0))
77.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
51.0ms	(* (/ x z) (/ y (+ z 1.0)))

simplify1.9s

Counts

167 → 167

Iterations

Iter	Nodes
done	5003
2	2996
1	780
0	266

prune726.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize33.0ms

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))))

rewrite47.0ms

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:

23.0ms	(* (/ x z) (/ y (+ z 1.0)))
8.0ms	(cbrt (* (/ x z) (/ y (+ z 1.0))))
7.0ms	(cbrt (* (/ x z) (/ y (+ z 1.0))))
8.0ms	(cbrt (* (/ x z) (/ y (+ z 1.0))))

series749.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (/ x z) (/ y (+ z 1.0)))
243.0ms	(cbrt (* (/ x z) (/ y (+ z 1.0))))
220.0ms	(cbrt (* (/ x z) (/ y (+ z 1.0))))
217.0ms	(cbrt (* (/ x z) (/ y (+ z 1.0))))

simplify2.1s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1957
1	578
0	209

prune739.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes343.0ms

Accuracy

36.4% (1.9b remaining)

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

bsearch73.0ms

Steps

Iters	Range		Point
8	-7.889956267885457e-306	3.9416083517824626e-308	1.4340218294944e-310

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

898.0ms

10856×

body

valid