Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	101	17
5	182	17
6	358	17
7	720	17
8	2090	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

3.0ms	(- (* y z) x)
56.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series187.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* y z) x)
114.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
52.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	152	1846
1	383	1797
2	1103	1675
3	3333	1671
done	5000	1668

prune243.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.7b	(/ x (- (* t z) x))
2.7b	(* y (/ z (- (* t z) x)))
8.7b	(/ z (- (* t z) x))

rewrite143.0ms

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-r` `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-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

111.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ x (- (* t z) x))
15.0ms	(* y (/ z (- (* t z) x)))
6.0ms	(/ z (- (* t z) x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
57.0ms	(/ x (- (* t z) x))
35.0ms	(* y (/ z (- (* t z) x)))
30.0ms	(/ z (- (* t z) x))

simplify1.6s

Counts

145 → 145

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	205	2667
1	475	2589
2	1301	2389
3	3930	2389
done	5000	2386

prune398.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (- (* t z) x) z))
2.7b	(/ x (- (* t z) x))
2.7b	(* y (/ 1 (/ (- (* t z) x) z)))
8.7b	(/ (- (* t z) x) z)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
112×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
98×	`add-cube-cbrt`
44×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`div-exp`
11×	`div-inv`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`pow1` `prod-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `associate-/r/` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `cbrt-unprod`
2×	`flip3--` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 208

Calls

4 calls:

10.0ms	(/ 1 (/ (- (* t z) x) z))
5.0ms	(/ x (- (* t z) x))
27.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
8.0ms	(/ (- (* t z) x) z)

series162.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1 (/ (- (* t z) x) z))
61.0ms	(/ x (- (* t z) x))
35.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
37.0ms	(/ (- (* t z) x) z)

simplify2.1s

Counts

220 → 220

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	276	3288
1	677	2808
2	1411	2493
3	3686	2473
done	5001	2470

prune518.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (- (* t z) x))
2.7b	(/ x (- (* t z) x))
2.7b	(* y (* z (/ 1 (- (* t z) x))))
8.3b	(* z (/ 1 (- (* t z) x)))

rewrite52.0ms

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`
16×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`div-exp` `cbrt-unprod`
6×	`associate-l` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-undiv` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`rec-exp` `flip3--` `1-exp` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num` `un-div-inv` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 124

Calls

4 calls:

6.0ms	(/ 1 (- (* t z) x))
5.0ms	(/ x (- (* t z) x))
20.0ms	(* y (* z (/ 1 (- (* t z) x))))
16.0ms	(* z (/ 1 (- (* t z) x)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- (* t z) x))
57.0ms	(/ x (- (* t z) x))
35.0ms	(* y (* z (/ 1 (- (* t z) x))))
30.0ms	(* z (/ 1 (- (* t z) x)))

simplify1.8s

Counts

136 → 136

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	160	1626
1	377	1414
2	897	1222
3	2620	1222
done	5000	1220

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes113.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	25
1	22	25
done	22	25

end0.0ms

sample532.0ms

Algorithm

intervals

Results

309.0ms

8332×

body

valid