Details

sample53.0ms

Algorithm

intervals

Results

33.0ms

350×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
15	3796
14	2882
13	2263
12	1877
11	1443
10	945
9	605
8	444
7	281
6	139
5	99
4	70
3	46
2	26
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
6.1b	(/ (* (- y x) z) t)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
42×	`times-frac`
32×	`add-cube-cbrt`
25×	`associate-l`
15×	`associate-r`
14×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
4×	`associate-*l/`
3×	`associate-/r*` `insert-posit16`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 112

Calls

3 calls:

85.0ms	(+ x (/ (* (- y x) z) t))
41.0ms	(* (- y x) z)
82.0ms	(/ (* (- y x) z) t)

series128.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (/ (* (- y x) z) t))
36.0ms	(* (- y x) z)
49.0ms	(/ (* (- y x) z) t)

simplify1.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1548
1	463
0	181

prune585.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.9b	(* (* (/ (cbrt (- y x)) (cbrt t)) (/ (cbrt (- y x)) (cbrt t))) (* (/ (cbrt (- y x)) (cbrt t)) z))

rewrite12.4s

Algorithm

rewrite-expression-head

Rules

14839×	`frac-times`
10395×	`cbrt-prod`
9636×	`associate-/l*`
8688×	`add-sqr-sqrt`
8419×	`associate-*l/`
7491×	`*-un-lft-identity`
7212×	`associate-/r*`
4971×	`add-cube-cbrt`
2404×	`cbrt-div` `associate-/l/`
1244×	`distribute-lft-out--`
1232×	`difference-of-squares`
1222×	`clear-num`
1202×	`frac-2neg` `flip3--` `flip--`
728×	`times-frac`
596×	`add-cbrt-cube`
543×	`unswap-sqr`
436×	`cbrt-unprod`
399×	`associate-*r/`
344×	`cbrt-undiv`
302×	`associate-l`
120×	`associate-r`
94×	`swap-sqr`
73×	`add-exp-log`
40×	`un-div-inv`
37×	`prod-exp`
17×	`div-exp`
16×	`pow1`
9×	`*-commutative`
8×	`pow-prod-down`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`

Counts

4 → 8720

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.3s	(* (* (/ (cbrt (- y x)) (cbrt t)) (/ (cbrt (- y x)) (cbrt t))) (* (/ (cbrt (- y x)) (cbrt t)) z))

series1.0s

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt t)
335.0ms	(cbrt t)
320.0ms	(cbrt t)
143.0ms	(* (* (/ (cbrt (- y x)) (cbrt t)) (/ (cbrt (- y x)) (cbrt t))) (* (/ (cbrt (- y x)) (cbrt t)) z))

simplify11.9s

Counts

8732 → 8732

Iterations

Iter	Nodes
done	8808
0	8808

prune1.1m

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
6.8b	(/ (- y x) (/ t z))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
90×	`*-un-lft-identity`
88×	`add-sqr-sqrt`
60×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`associate-/l*`
7×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `div-sub` `insert-posit16` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 124

Calls

2 calls:

67.0ms	(+ x (/ (- y x) (/ t z)))
31.0ms	(/ (- y x) (/ t z))

series150.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+ x (/ (- y x) (/ t z)))
67.0ms	(/ (- y x) (/ t z))

simplify1.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	2134
1	697
0	227

prune782.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t z) (- y x))))
0.3b	(/ 1 (/ (/ t z) (- y x)))
6.8b	(/ (/ t z) (- y x))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

781×	`times-frac`
478×	`*-un-lft-identity`
473×	`add-sqr-sqrt`
339×	`add-cube-cbrt`
87×	`associate-/r*`
67×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-/r/`
37×	`associate-/l*`
34×	`div-inv`
29×	`add-exp-log`
20×	`associate-/l/`
18×	`div-exp`
17×	`add-cbrt-cube`
9×	`cbrt-undiv`
7×	`clear-num`
5×	`frac-2neg` `flip3--` `flip--` `add-log-exp`
4×	`pow1` `remove-double-div`
3×	`rec-exp` `1-exp` `insert-posit16`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 469

Calls

3 calls:

140.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
55.0ms	(/ 1 (/ (/ t z) (- y x)))
30.0ms	(/ (/ t z) (- y x))

series187.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
87.0ms	(/ 1 (/ (/ t z) (- y x)))
54.0ms	(/ (/ t z) (- y x))

simplify3.0s

Counts

478 → 478

Iterations

Iter	Nodes
done	5001
2	4764
1	1686
0	610

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes361.0ms

Accuracy

48.8% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end2.0ms

sample1.3s

Algorithm

intervals

Results

925.0ms

10642×

body

valid