Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

267×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	39	17
3	64	17
4	113	17
5	202	17
6	399	17
7	828	17
8	2514	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

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))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`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` `expm1-log1p-u` `flip3--` `div-sub` `prod-diff` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `fma-neg` `diff-log`

Counts

3 → 95

Calls

3 calls:

3.0ms	(- (* y z) x)
60.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series221.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (* y z) x)
131.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
66.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.6s

Counts

104 → 104

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	175	1983
1	435	1899
2	1244	1777
3	4462	1759
done	5001	1756

prune309.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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))

rewrite146.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 141

Calls

4 calls:

113.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
16.0ms	(* y (/ z (- (* t z) x)))
6.0ms	(/ z (- (* t z) x))

series266.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
67.0ms	(/ x (- (* t z) x))
36.0ms	(* y (/ z (- (* t z) x)))
37.0ms	(/ z (- (* t z) x))

simplify2.0s

Counts

153 → 153

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	213	2767
1	490	2688
2	1353	2432
3	4162	2432
done	5000	2430

prune458.0ms

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)

rewrite61.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r/` `log1p-expm1-u` `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 → 216

Calls

4 calls:

8.0ms	(/ 1 (/ (- (* t z) x) z))
5.0ms	(/ x (- (* t z) x))
29.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
8.0ms	(/ (- (* t z) x) z)

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (/ (- (* t z) x) z))
61.0ms	(/ x (- (* t z) x))
41.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
38.0ms	(/ (- (* t z) x) z)

simplify2.7s

Counts

228 → 228

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	284	3364
1	690	2998
2	1648	2557
3	4345	2537
done	5000	2534

prune624.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

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)))

rewrite55.0ms

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` `expm1-log1p-u` `associate-*r/` `pow-prod-down` `log1p-expm1-u` `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 → 132

Calls

4 calls:

6.0ms	(/ 1 (- (* t z) x))
5.0ms	(/ x (- (* t z) x))
18.0ms	(* y (* z (/ 1 (- (* t z) x))))
20.0ms	(* z (/ 1 (- (* t z) x)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (- (* t z) x))
66.0ms	(/ x (- (* t z) x))
41.0ms	(* y (* z (/ 1 (- (* t z) x))))
35.0ms	(* z (/ 1 (- (* t z) x)))

simplify2.1s

Counts

144 → 144

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	168	1702
1	387	1510
2	962	1287
3	2761	1287
done	5000	1285

prune394.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes122.0ms

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 (0.0ms)

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

end0.0ms

sample552.0ms

Algorithm

intervals

Results

334.0ms

8332×

body

valid