Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

345×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	27	11
2	75	11
3	164	11
4	251	11
5	310	11
6	363	11
7	499	11
8	1076	11
9	4486	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* z z) (+ z 1.0))
16.6b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
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×	`add-cube-cbrt` `pow-prod-down`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

32.0ms	(* (* z z) (+ z 1.0))
38.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (* z z) (+ z 1.0))
71.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify929.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (333.0ms)

Iter	Nodes	Cost
0	112	858
1	343	788
2	1881	626
done	5000	626

prune143.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z 1.0))
6.7b	(* (/ x (* z z)) (/ y (+ z 1.0)))
9.5b	(/ x (* z z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
34×	`add-sqr-sqrt` `times-frac`
31×	`add-exp-log` `add-cbrt-cube`
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×	`add-log-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 107

Calls

3 calls:

11.0ms	(/ y (+ z 1.0))
59.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
12.0ms	(/ x (* z z))

series113.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ y (+ z 1.0))
54.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms	(/ x (* z z))

simplify1.4s

Counts

116 → 116

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	180	1501
1	485	1416
2	1807	1228
done	5000	1214

prune315.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z 1.0))
1.6b	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.6b	(* (/ x z) (/ y (+ z 1.0)))

rewrite125.0ms

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×	`pow-prod-down` `associate-l/` `associate-/r` `associate-/r/` `div-inv` `unswap-sqr`
3×	`associate-/l*` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`frac-2neg` `clear-num`

Counts

3 → 149

Calls

3 calls:

16.0ms	(/ y (+ z 1.0))
53.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
45.0ms	(* (/ x z) (/ y (+ z 1.0)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ y (+ z 1.0))
68.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
67.0ms	(* (/ x z) (/ y (+ z 1.0)))

simplify1.9s

Counts

158 → 158

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	257	2420
1	714	2165
2	2607	1785
done	5001	1759

prune389.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.6b	(* (/ 1 z) (* (* (* (cbrt y) (cbrt y)) (/ x z)) (/ (cbrt y) (+ z 1.0))))
4.6b	(* (* (cbrt y) (cbrt y)) (/ x z))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

239×	`add-exp-log`
138×	`prod-exp`
103×	`add-cbrt-cube`
72×	`cbrt-unprod`
60×	`div-exp`
31×	`cbrt-undiv`
23×	`pow1` `add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
14×	`associate-r` `associate-l`
13×	`pow-prod-down`
11×	`rec-exp` `1-exp`
10×	`associate-*r/`
6×	`cbrt-prod`
5×	`frac-times`
4×	`add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
362.0ms	(* (/ 1 z) (* (* (* (cbrt y) (cbrt y)) (/ x z)) (/ (cbrt y) (+ z 1.0))))
46.0ms	(* (* (cbrt y) (cbrt y)) (/ x z))

series792.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt y)
245.0ms	(cbrt y)
95.0ms	(* (/ 1 z) (* (* (* (cbrt y) (cbrt y)) (/ x z)) (/ (cbrt y) (+ z 1.0))))
173.0ms	(* (* (cbrt y) (cbrt y)) (/ x z))

simplify2.2s

Counts

168 → 168

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	277	3660
1	783	3213
2	3161	2059
done	5000	1685

prune358.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

51.7% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.0b

bsearch3.0ms

simplify24.0ms

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	27	85
1	37	69
2	40	59
3	46	49
4	49	48
5	52	48
6	53	48
7	54	48
done	54	48

end0.0ms

sample1.4s

Algorithm

intervals

Results

954.0ms

10732×

body

valid