Details

sample30.0ms

Algorithm

intervals

Results

19.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize15.0ms

Local error

Found 1 expressions with local error:

6.7b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 51

Calls

1 calls:

35.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify1.9s

Counts

54 → 54

Iterations

Iter	Nodes
done	5004
4	4821
3	1676
2	573
1	210
0	96

prune160.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- 1.0 (/ y z)))
6.4b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`associate-r` `add-cube-cbrt`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `flip3--` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

2 → 99

Calls

2 calls:

16.0ms	(/ 1 (- 1.0 (/ y z)))
35.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series128.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ 1 (- 1.0 (/ y z)))
67.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
3	3406
2	1114
1	369
0	145

prune375.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.3b

localize22.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ (+ y x) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.9b	(cbrt (- 1.0 (/ y z)))
6.9b	(cbrt (- 1.0 (/ y z)))
6.9b	(cbrt (- 1.0 (/ y z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`cbrt-prod` `cbrt-div`
9×	`flip3--` `add-exp-log` `add-cube-cbrt` `flip--`
8×	`associate-/r/`
7×	`times-frac` `add-cbrt-cube`
6×	`difference-of-squares`
4×	`frac-times` `pow1` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`pow1/3` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 85

Calls

4 calls:

34.0ms	(/ (+ y x) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
4.0ms	(cbrt (- 1.0 (/ y z)))
4.0ms	(cbrt (- 1.0 (/ y z)))
4.0ms	(cbrt (- 1.0 (/ y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

310.0ms	(/ (+ y x) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
357.0ms	(cbrt (- 1.0 (/ y z)))
362.0ms	(cbrt (- 1.0 (/ y z)))
353.0ms	(cbrt (- 1.0 (/ y z)))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	2475
2	828
1	334
0	148

prune430.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
2.8b	(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
4.2b	(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

196×	`times-frac`
178×	`add-sqr-sqrt`
154×	`*-un-lft-identity`
84×	`cbrt-prod`
68×	`add-cube-cbrt`
55×	`associate-/r*`
44×	`difference-of-squares`
22×	`cbrt-div` `distribute-lft-out--`
21×	`distribute-lft-out`
18×	`add-exp-log`
11×	`flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/l/`
7×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*`
4×	`frac-times` `pow1` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 228

Calls

4 calls:

2.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
23.0ms	(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
26.0ms	(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

series625.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (+ x y))
159.0ms	(cbrt (+ x y))
221.0ms	(/ (- 1.0 (/ y z)) (cbrt (+ x y)))
94.0ms	(/ (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- 1.0 (/ y z)) (cbrt (+ x y))))

simplify2.0s

Counts

240 → 240

Iterations

Iter	Nodes
done	5001
2	2762
1	916
0	320

prune954.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 4.3b

regimes316.0ms

Accuracy

82.2% (0.4b remaining)

Error of 6.1b against oracle of 5.7b and baseline of 7.7b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample782.0ms

Algorithm

intervals

Results

592.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid