Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

265×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2713
7	1331
6	448
5	184
4	101
3	60
2	35
1	23
0	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite226.0ms

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/` `insert-posit16` `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 → 102

Calls

4 calls:

46.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
12.0ms	(- (* y z) x)
143.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
23.0ms	(/ (- (* y z) x) (- (* t z) x))

series397.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
41.0ms	(- (* y z) x)
162.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
81.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4999
2	1277
1	416
0	162

prune638.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.7b	(/ 1 (- (* t z) x))
11.0b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite163.0ms

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` `insert-posit16` `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 → 126

Calls

4 calls:

14.0ms	(- (* y z) x)
54.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
20.0ms	(/ 1 (- (* t z) x))
71.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y z) x)
147.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
36.0ms	(/ 1 (- (* t z) x))
70.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify1.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1479
1	487
0	193

prune640.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.1b	(/ 1 (/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x)))
0.4b	(/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x))
11.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite279.0ms

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×	`insert-posit16` `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 → 200

Calls

4 calls:

9.0ms	(- (* y z) x)
94.0ms	(/ 1 (/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x)))
120.0ms	(/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x))
52.0ms	(/ (- (* y z) x) (- (* t z) x))

series437.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* y z) x)
153.0ms	(/ 1 (/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x)))
175.0ms	(/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x))
85.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.8s

Counts

212 → 212

Iterations

Iter	Nodes
done	5000
2	2058
1	696
0	266

prune903.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

localize62.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (- (* y z) x) (* (cbrt (/ 1 (- (* t z) x))) (cbrt (/ 1 (- (* t z) x)))))
8.1b	(cbrt (/ 1 (- (* t z) x)))
8.1b	(cbrt (/ 1 (- (* t z) x)))
8.1b	(cbrt (/ 1 (- (* t z) x)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-div`
9×	`frac-times` `pow1` `add-exp-log`
7×	`flip3--` `add-cbrt-cube` `flip--`
6×	`associate-*r/` `associate-/r/`
5×	`associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

101.0ms	(* (- (* y z) x) (* (cbrt (/ 1 (- (* t z) x))) (cbrt (/ 1 (- (* t z) x)))))
12.0ms	(cbrt (/ 1 (- (* t z) x)))
12.0ms	(cbrt (/ 1 (- (* t z) x)))
11.0ms	(cbrt (/ 1 (- (* t z) x)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (- (* y z) x) (* (cbrt (/ 1 (- (* t z) x))) (cbrt (/ 1 (- (* t z) x)))))
136.0ms	(cbrt (/ 1 (- (* t z) x)))
153.0ms	(cbrt (/ 1 (- (* t z) x)))
163.0ms	(cbrt (/ 1 (- (* t z) x)))

simplify2.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5003
3	4221
2	1252
1	474
0	195

prune849.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

regimes328.0ms

Accuracy

51.7% (3.0b remaining)

Error of 3.8b against oracle of 0.8b and baseline of 7.1b

bsearch156.0ms

Steps

Iters	Range		Point
6	9.510752173198294e+215	4.474419611252053e+216	9.631568013141158e+215
8	-4.330806174146104e+101	-1.6533543276326376e+99	-2.648599861110283e+100

simplify7.0ms

Iterations

Iter	Nodes
done	35
1	35
0	24

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8314×

body

valid