Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	14	9
done	14	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize7.0ms

Local error

Found 1 expressions with local error:

8.8b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite37.0ms

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-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

35.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify2.5s

Counts

53 → 53

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	95	835
1	204	812
2	547	776
3	1371	776
4	3954	775
done	5000	775

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ 1 (- 1.0 (/ y z)))
7.6b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-r`
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×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 97

Calls

2 calls:

24.0ms	(/ 1 (- 1.0 (/ y z)))
72.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series129.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ 1 (- 1.0 (/ y z)))
58.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.2s

Counts

103 → 103

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	143	1364
1	337	1144
2	975	1046
3	2794	1046
done	5000	1046

prune241.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.9b

localize19.0ms

Local error

Found 4 expressions with local error:

7.6b	(* (+ x y) (/ (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

8493×	`times-frac`
6844×	`add-sqr-sqrt`
5106×	`cbrt-prod`
4216×	`*-un-lft-identity`
2733×	`associate-r`
2514×	`add-cube-cbrt`
1692×	`difference-of-squares`
846×	`distribute-lft-out--`
188×	`cbrt-div`
182×	`associate-/r/`
94×	`flip3--` `flip--`
93×	`div-inv`
26×	`add-exp-log`
25×	`unswap-sqr`
12×	`add-cbrt-cube`
11×	`div-exp`
6×	`pow1` `cbrt-undiv` `prod-exp`
4×	`associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3-+` `associate-*l/` `flip-+`
1×	`rec-exp` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out`

Counts

4 → 2834

Calls

4 calls:

1.3s	(* (+ x y) (/ (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))))
12.0ms	(cbrt (- 1.0 (/ y z)))
9.0ms	(cbrt (- 1.0 (/ y z)))
9.0ms	(cbrt (- 1.0 (/ y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (+ x y) (/ (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))))
439.0ms	(cbrt (- 1.0 (/ y z)))
432.0ms	(cbrt (- 1.0 (/ y z)))
462.0ms	(cbrt (- 1.0 (/ y z)))

simplify10.6s

Counts

2846 → 2846

Iterations

Useful iterations: done (10.4s)

Iter	Nodes	Cost
0	4175	87843
done	5000	85077

prune15.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.9b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (- 1.0 (/ y z)))
1.0b	(/ 1 (- 1.0 (/ y z)))
7.3b	(sqrt (/ 1 (- 1.0 (/ y z))))
7.3b	(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-sqr-sqrt`
90×	`times-frac`
76×	`*-un-lft-identity`
48×	`sqrt-prod`
46×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
12×	`add-exp-log` `associate-/r*`
10×	`pow1`
8×	`associate-/r/` `add-cbrt-cube`
6×	`rem-sqrt-square` `sqrt-pow1` `associate-/l*`
4×	`flip3--` `pow-flip` `div-exp` `flip--` `div-inv` `inv-pow` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `pow1/2` `sqrt-div` `1-exp` `clear-num`

Counts

4 → 168

Calls

4 calls:

22.0ms	(/ 1 (- 1.0 (/ y z)))
26.0ms	(/ 1 (- 1.0 (/ y z)))
21.0ms	(sqrt (/ 1 (- 1.0 (/ y z))))
22.0ms	(sqrt (/ 1 (- 1.0 (/ y z))))

series501.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ 1 (- 1.0 (/ y z)))
53.0ms	(/ 1 (- 1.0 (/ y z)))
192.0ms	(sqrt (/ 1 (- 1.0 (/ y z))))
182.0ms	(sqrt (/ 1 (- 1.0 (/ y z))))

simplify2.2s

Counts

180 → 180

Iterations

Useful iterations: 4 (571.0ms)

Iter	Nodes	Cost
0	130	2356
1	214	2014
2	368	1912
3	720	1912
4	1663	1910
done	5001	1910

prune500.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 6.9b

regimes198.0ms

Accuracy

62.4% (0.7b remaining)

Error of 6.7b against oracle of 6.0b and baseline of 7.8b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	63
1	27	55
done	27	55

end0.0ms

sample1.0s

Algorithm

intervals

Results

314.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid