Details

sample47.0ms

Algorithm

intervals

Results

19.0ms	332×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify543.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

488.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.4s	(* x (+ (+ (+ (+ y z) z) y) t))
30.0ms	(+ (+ y z) z)
174.0ms	(+ (+ (+ y z) z) y)

series210.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
60.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms	(+ (+ y z) z)
38.0ms	(+ (+ (+ y z) z) y)

simplify930.0ms

Counts: 83 → 83

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`associate-l`
11×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`frac-times` `associate-r` `sum-log` `distribute-lft-out`
3×	`distribute-rgt-out`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`associate-+l+` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

16.0ms	(+ (* t x) (* (+ x x) (+ z y)))
52.0ms	(+ (+ (* t x) (* (+ x x) (+ z y))) (* y 5.0))
68.0ms	(* (+ x x) (+ z y))

series224.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* t x) (* (+ x x) (+ z y)))
90.0ms	(+ (+ (* t x) (* (+ x x) (+ z y))) (* y 5.0))
67.0ms	(* (+ x x) (+ z y))

simplify1.3s

Counts: 73 → 73

prune216.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`flip3-+` `flip-+`
4×	`associate-+r+` `associate-*r/` `frac-add`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`

Counts

3 → 46

Calls

3 calls:

39.0ms	(+ (+ (* t x) (* z (+ x x))) (* y (+ x x)))
9.0ms	(+ (* t x) (* z (+ x x)))
151.0ms	(+ (+ (+ (* t x) (* z (+ x x))) (* y (+ x x))) (* y 5.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (+ (* t x) (* z (+ x x))) (* y (+ x x)))
51.0ms	(+ (* t x) (* z (+ x x)))
82.0ms	(+ (+ (+ (* t x) (* z (+ x x))) (* y (+ x x))) (* y 5.0))

simplify1.5s

Counts: 55 → 55

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.2s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
361.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
416.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
368.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.9s

Counts

4 → 12

Calls

4 calls:

644.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
449.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
343.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
442.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify763.0ms

Counts: 99 → 99

prune461.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

1.7% (0.0b remaining)

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

bsearch0.0ms

simplify641.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s	10626×	body	80	valid
22.0ms	97×	body	640	valid
19.0ms	78×	body	1280	valid
8.0ms	53×	body	320	valid
3.0ms	30×	body	160	valid