Details

sample47.0ms

Algorithm

intervals

Results

20.0ms	349×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	1280	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4790
5	1929
4	875
3	286
2	89
1	30
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2 (+ y z)) t)
0.0b	(* x (+ (* 2 (+ y z)) t))
0.0b	(+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

17.0ms	(+ (* 2 (+ y z)) t)
50.0ms	(* x (+ (* 2 (+ y z)) t))
15.0ms	(+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (* 2 (+ y z)) t)
93.0ms	(* x (+ (* 2 (+ y z)) t))
102.0ms	(+ (* y 5.0) (* x (+ (* 2 (+ y z)) t)))

simplify813.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	1492
1	301
0	97

prune363.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* y 5.0) (* (+ y z) (* 2 x))) (* t x))
0.0b	(+ (* y 5.0) (* (+ y z) (* 2 x)))
0.2b	(* (+ y z) (* 2 x))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

54.0ms	(+ (+ (* y 5.0) (* (+ y z) (* 2 x))) (* t x))
8.0ms	(+ (* y 5.0) (* (+ y z) (* 2 x)))
30.0ms	(* (+ y z) (* 2 x))

series258.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (+ (* y 5.0) (* (+ y z) (* 2 x))) (* t x))
95.0ms	(+ (* y 5.0) (* (+ y z) (* 2 x)))
65.0ms	(* (+ y z) (* 2 x))

simplify717.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1235
1	311
0	101

prune311.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ z y) (* 2 x))) (cbrt (* (+ z y) (* 2 x))))
4.8b	(cbrt (* (+ z y) (* 2 x)))
4.8b	(cbrt (* (+ z y) (* 2 x)))
4.8b	(cbrt (* (+ z y) (* 2 x)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

45.0ms	(* (cbrt (* (+ z y) (* 2 x))) (cbrt (* (+ z y) (* 2 x))))
13.0ms	(cbrt (* (+ z y) (* 2 x)))
12.0ms	(cbrt (* (+ z y) (* 2 x)))
21.0ms	(cbrt (* (+ z y) (* 2 x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

447.0ms	(* (cbrt (* (+ z y) (* 2 x))) (cbrt (* (+ z y) (* 2 x))))
287.0ms	(cbrt (* (+ z y) (* 2 x)))
309.0ms	(cbrt (* (+ z y) (* 2 x)))
261.0ms	(cbrt (* (+ z y) (* 2 x)))

simplify711.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1385
1	384
0	152

prune716.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y 5.0) (* (+ z y) (* 2 x)))) (cbrt (+ (* y 5.0) (* (+ z y) (* 2 x)))))
0.6b	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))
0.6b	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))
0.6b	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

47.0ms	(* (cbrt (+ (* y 5.0) (* (+ z y) (* 2 x)))) (cbrt (+ (* y 5.0) (* (+ z y) (* 2 x)))))
4.0ms	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))
14.0ms	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))
8.0ms	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))

series2.0s

Counts

4 → 12

Calls

4 calls:

651.0ms	(* (cbrt (+ (* y 5.0) (* (+ z y) (* 2 x)))) (cbrt (+ (* y 5.0) (* (+ z y) (* 2 x)))))
451.0ms	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))
434.0ms	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))
472.0ms	(cbrt (+ (* y 5.0) (* (+ z y) (* 2 x))))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1403
1	380
0	151

prune816.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes426.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

881.0ms	10705×	body	80	valid
26.0ms	97×	body	1280	valid
23.0ms	110×	body	640	valid
9.0ms	57×	body	320	valid
3.0ms	28×	body	160	valid