Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

344×

body

valid

simplify2.5s

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: 16.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* z z) (+ z 1.0))
15.8b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite57.0ms

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-+` `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 → 55

Calls

2 calls:

27.0ms	(* (* z z) (+ z 1.0))
26.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (* z z) (+ z 1.0))
85.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	2069
1	376
0	116

prune306.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z 1.0))
6.2b	(* (/ x (* z z)) (/ y (+ z 1.0)))
6.4b	(/ x (* z z))

rewrite60.0ms

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` `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 → 113

Calls

3 calls:

9.0ms	(/ y (+ z 1.0))
41.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms	(/ x (* z z))

series164.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ y (+ z 1.0))
85.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
28.0ms	(/ x (* z z))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	2329
1	539
0	186

prune613.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z 1.0))
1.6b	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.2b	(* (/ x z) (/ y (+ z 1.0)))

rewrite145.0ms

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` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`clear-num` `frac-2neg`

Counts

3 → 155

Calls

3 calls:

12.0ms	(/ y (+ z 1.0))
82.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
44.0ms	(* (/ x z) (/ y (+ z 1.0)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ y (+ z 1.0))
69.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
75.0ms	(* (/ x z) (/ y (+ z 1.0)))

simplify1.7s

Counts

164 → 164

Iterations

Iter	Nodes
done	5006
2	2948
1	777
0	263

prune985.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (/ x z) (/ y (+ z 1.0)))
24.1b	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
24.1b	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
24.1b	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
21×	`cbrt-div`
19×	`add-cube-cbrt`
18×	`associate-r`
16×	`frac-times` `add-cbrt-cube` `associate-*r/` `add-exp-log`
13×	`associate-l`
10×	`associate-*l/`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `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 → 111

Calls

4 calls:

32.0ms	(* (/ x z) (/ y (+ z 1.0)))
34.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
37.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
45.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ x z) (/ y (+ z 1.0)))
155.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
195.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
168.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	2034
1	633
0	224

prune823.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes307.0ms

Accuracy

-10.5% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.5b

bsearch67.0ms

Steps

Iters	Range		Point
6	8.373116168732756e-215	3.471091696408457e-214	2.0629589570821074e-214
8	-5.5151276887856905e-129	-3.872530484897091e-133	-1.585967125230204e-130

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample819.0ms

Algorithm

intervals

Results

541.0ms

10782×

body

valid