Details

sample29.0ms

Algorithm

intervals

Results

12.0ms	318×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
4	47
3	42
2	28
1	18
0	8

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* z 5.0) (* (+ y z) x))
0.0b	(* (+ y z) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

13.0ms	(+ (* z 5.0) (* (+ y z) x))
31.0ms	(* (+ y z) x)

series96.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* z 5.0) (* (+ y z) x))
51.0ms	(* (+ y z) x)

simplify577.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	939
1	190
0	68

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt x) (cbrt x))
216.0ms	(cbrt x)
270.0ms	(cbrt x)
271.0ms	(cbrt x)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune353.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ z y))
0.2b	(* (sqrt (* x (+ z y))) (sqrt (* x (+ z y))))
3.5b	(sqrt (* x (+ z y)))
3.5b	(sqrt (* x (+ z y)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3-+` `flip-+`
8×	`add-cbrt-cube` `associate-r` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

17.0ms	(* x (+ z y))
70.0ms	(* (sqrt (* x (+ z y))) (sqrt (* x (+ z y))))
5.0ms	(sqrt (* x (+ z y)))
6.0ms	(sqrt (* x (+ z y)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* x (+ z y))
40.0ms	(* (sqrt (* x (+ z y))) (sqrt (* x (+ z y))))
72.0ms	(sqrt (* x (+ z y)))
80.0ms	(sqrt (* x (+ z y)))

simplify1.3s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	1473
1	315
0	121

prune538.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* z z))
4.3b	(- (* 5.0 (* 5.0 (* z z))) (* (* (+ z y) (+ z y)) (* x x)))
23.3b	(* (* (+ z y) (+ z y)) (* x x))
26.8b	(/ (- (* 5.0 (* 5.0 (* z z))) (* (* (+ z y) (+ z y)) (* x x))) (- (* 5.0 z) (* x (+ z y))))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-*l/`
9×	`times-frac`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`frac-times` `pow-plus` `associate-l` `pow-prod-up`
3×	`associate-/r` `flip3--` `flip--` `associate-/l`
2×	`pow2` `associate-r` `associate-r/` `associate-/r/` `pow-sqr` `-commutative` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 100

Calls

4 calls:

25.0ms	(* 5.0 (* z z))
71.0ms	(- (* 5.0 (* 5.0 (* z z))) (* (* (+ z y) (+ z y)) (* x x)))
63.0ms	(* (* (+ z y) (+ z y)) (* x x))
162.0ms	(/ (- (* 5.0 (* 5.0 (* z z))) (* (* (+ z y) (+ z y)) (* x x))) (- (* 5.0 z) (* x (+ z y))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 5.0 (* z z))
109.0ms	(- (* 5.0 (* 5.0 (* z z))) (* (* (+ z y) (+ z y)) (* x x)))
49.0ms	(* (* (+ z y) (+ z y)) (* x x))
322.0ms	(/ (- (* 5.0 (* 5.0 (* z z))) (* (* (+ z y) (+ z y)) (* x x))) (- (* 5.0 z) (* x (+ z y))))

simplify2.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	4176
1	617
0	186

prune622.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

600.0ms	9840×	body	80	valid
21.0ms	129×	body	640	valid
19.0ms	99×	body	1280	valid
7.0ms	58×	body	320	valid
2.0ms	29×	body	160	valid