Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

262×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	103	17
5	178	17
6	362	17
7	829	17
8	2007	17
done	5001	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

8.0ms	(- (* y z) x)
8.0ms	(- (* t z) x)
120.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
26.0ms	(/ (- (* y z) x) (- (* t z) x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* y z) x)
25.0ms	(- (* t z) x)
130.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.7s

Counts

109 → 109

Iterations

Useful iterations: 3 (690.0ms)

Iter	Nodes	Cost
0	159	1974
1	400	1922
2	1188	1790
3	3498	1784
done	5001	1784

prune266.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
2.3b	(/ x (- (* t z) x))
2.9b	(* (/ z (- (* t z) x)) y)
5.9b	(/ z (- (* t z) x))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-r` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 133

Calls

4 calls:

247.0ms	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
13.0ms	(/ x (- (* t z) x))
38.0ms	(* (/ z (- (* t z) x)) y)
13.0ms	(/ z (- (* t z) x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
61.0ms	(/ x (- (* t z) x))
60.0ms	(* (/ z (- (* t z) x)) y)
37.0ms	(/ z (- (* t z) x))

simplify1.8s

Counts

145 → 145

Iterations

Useful iterations: 3 (949.0ms)

Iter	Nodes	Cost
0	210	2653
1	487	2585
2	1386	2383
3	4034	2381
done	5001	2381

prune362.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (- (* t z) x))
2.3b	(/ x (- (* t z) x))
2.9b	(* (* z (/ 1 (- (* t z) x))) y)
5.8b	(* z (/ 1 (- (* t z) x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
34×	`add-exp-log`
30×	`*-un-lft-identity`
29×	`add-cube-cbrt` `times-frac`
22×	`add-cbrt-cube`
18×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`div-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-undiv` `associate-l` `pow-prod-down` `add-log-exp`
3×	`rec-exp` `flip3--` `1-exp` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num` `un-div-inv` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 124

Calls

4 calls:

16.0ms	(/ 1 (- (* t z) x))
13.0ms	(/ x (- (* t z) x))
51.0ms	(* (* z (/ 1 (- (* t z) x))) y)
38.0ms	(* z (/ 1 (- (* t z) x)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1 (- (* t z) x))
61.0ms	(/ x (- (* t z) x))
60.0ms	(* (* z (/ 1 (- (* t z) x))) y)
36.0ms	(* z (/ 1 (- (* t z) x)))

simplify1.8s

Counts

136 → 136

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	163	1635
1	372	1421
2	992	1227
3	2795	1227
done	5000	1227

prune294.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (- (* t z) x))
2.3b	(* x (/ 1 (- (* t z) x)))
2.9b	(* (/ z (- (* t z) x)) y)
5.9b	(/ z (- (* t z) x))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
39×	`times-frac`
37×	`*-un-lft-identity`
36×	`add-cube-cbrt`
24×	`add-exp-log`
18×	`associate-r` `associate-l` `add-cbrt-cube`
9×	`pow1`
8×	`associate-/r/`
6×	`div-exp` `prod-exp` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`cbrt-undiv` `flip3--` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow-flip` `associate-r/` `associate-l/` `un-div-inv` `inv-pow`

Counts

4 → 134

Calls

4 calls:

16.0ms	(/ 1 (- (* t z) x))
36.0ms	(* x (/ 1 (- (* t z) x)))
36.0ms	(* (/ z (- (* t z) x)) y)
16.0ms	(/ z (- (* t z) x))

series187.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (- (* t z) x))
62.0ms	(* x (/ 1 (- (* t z) x)))
61.0ms	(* (/ z (- (* t z) x)) y)
38.0ms	(/ z (- (* t z) x))

simplify1.5s

Counts

146 → 146

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	176	1692
1	415	1532
2	1032	1366
3	2560	1364
done	5000	1324

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	25
1	25	23
done	25	23

end0.0ms

sample574.0ms

Algorithm

intervals

Results

298.0ms

8324×

body

valid