Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

268×

body

valid

simplify4.3s

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	218	17
6	449	17
7	1160	17
8	4966	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `fma-def` `flip3-+` `prod-diff` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `fma-neg` `diff-log` `sum-log`

Counts

4 → 113

Calls

4 calls:

18.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* y z) x)
63.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series340.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
29.0ms	(- (* y z) x)
144.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
72.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify752.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	183	2295
1	465	2175
2	1832	2036
done	5000	2036

prune402.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ 1 (- (* t z) x))
0.5b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
7.8b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
32×	`times-frac`
30×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 134

Calls

4 calls:

3.0ms	(- (* y z) x)
7.0ms	(/ 1 (- (* t z) x))
12.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
25.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* y z) x)
30.0ms	(/ 1 (- (* t z) x))
139.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
65.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify1.0s

Counts

146 → 146

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	214	2542
1	529	2235
2	2085	2005
done	5001	2005

prune428.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
7.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`frac-2neg` `prod-diff` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `inv-pow`

Counts

4 → 185

Calls

4 calls:

6.0ms	(- (* y z) x)
13.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
98.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
12.0ms	(/ (- (* t z) x) (- (* y z) x))

series384.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* y z) x)
105.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
182.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
70.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify1.6s

Counts

197 → 197

Iterations

Useful iterations: 2 (299.0ms)

Iter	Nodes	Cost
0	285	4287
1	697	4006
2	2902	3521
done	5000	3521

prune508.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (* y z) x))
0.3b	(/ 1 (- (* t z) x))
0.5b	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
7.6b	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

547×	`times-frac`
274×	`*-un-lft-identity`
254×	`add-sqr-sqrt` `add-cube-cbrt`
71×	`associate-/r/`
54×	`add-exp-log`
37×	`div-exp`
36×	`div-inv`
34×	`flip3--` `flip--`
25×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube`
11×	`cbrt-undiv`
10×	`rec-exp` `1-exp` `distribute-lft-out`
6×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
2×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 401

Calls

4 calls:

6.0ms	(/ 1 (- (* y z) x))
6.0ms	(/ 1 (- (* t z) x))
261.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
27.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (- (* y z) x))
30.0ms	(/ 1 (- (* t z) x))
184.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
110.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify925.0ms

Counts

413 → 413

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	595	12002
1	1745	10483
done	5001	9281

prune732.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes236.0ms

Accuracy

81% (1.2b remaining)

Error of 2.1b against oracle of 0.9b and baseline of 7.3b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	22	75
1	30	67
done	30	67

end0.0ms

sample550.0ms

Algorithm

intervals

Results

328.0ms

8332×

body

valid