Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

263×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2841
6	706
5	238
4	102
3	60
2	35
1	23
0	13

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
6.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

35.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
9.0ms	(- (* y z) x)
160.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
23.0ms	(/ (- (* y z) x) (- (* t z) x))

series429.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
49.0ms	(- (* y z) x)
196.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
74.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1746
1	412
0	158

prune776.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* z y) x) (- (* t z) x)))
0.0b	(- (* z y) x)
0.7b	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
6.7b	(/ (- (* z y) x) (- (* t z) x))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

39.0ms	(+ x (/ (- (* z y) x) (- (* t z) x)))
10.0ms	(- (* z y) x)
153.0ms	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
34.0ms	(/ (- (* z y) x) (- (* t z) x))

series504.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ x (/ (- (* z y) x) (- (* t z) x)))
42.0ms	(- (* z y) x)
242.0ms	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
79.0ms	(/ (- (* z y) x) (- (* t z) x))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1768
1	410
0	156

prune733.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.1b	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
0.8b	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
6.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
81×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
29×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-/r/`
10×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`clear-num` `frac-2neg` `flip3--` `flip--`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 196

Calls

4 calls:

10.0ms	(- (* y z) x)
115.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
125.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
42.0ms	(/ (- (* y z) x) (- (* t z) x))

series447.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* y z) x)
140.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
180.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
99.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.8s

Counts

208 → 208

Iterations

Iter	Nodes
done	5001
2	3591
1	696
0	262

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z y) x)
0.2b	(/ 1 (- (* t z) x))
0.7b	(/ (+ x (* (- (* z y) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.7b	(* (- (* z y) x) (/ 1 (- (* t z) x)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`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×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 122

Calls

4 calls:

6.0ms	(- (* z y) x)
13.0ms	(/ 1 (- (* t z) x))
27.0ms	(/ (+ x (* (- (* z y) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
59.0ms	(* (- (* z y) x) (/ 1 (- (* t z) x)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* z y) x)
50.0ms	(/ 1 (- (* t z) x))
201.0ms	(/ (+ x (* (- (* z y) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
82.0ms	(* (- (* z y) x) (/ 1 (- (* t z) x)))

simplify2.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	3251
1	484
0	187

prune676.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.7b

regimes475.0ms

Accuracy

57% (2.9b remaining)

Error of 3.8b against oracle of 0.9b and baseline of 7.6b

bsearch106.0ms

Steps

Iters	Range		Point
8	6.601899086925292e+128	1.1120187522348944e+133	3.641116230673848e+130
9	-5.257175832013604e+178	-2.2922435397337613e+171	-1.160115839689408e+172

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample1.4s

Algorithm

intervals

Results

955.0ms

8307×

body

valid