Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	239×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify4.6s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

27.0ms

(+ (* 2 (+ x y)) (+ x z))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify517.0ms

Counts: 22 → 22

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

22.0ms

(+ (* 3 x) (+ z (* 2 y)))

series31.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify967.0ms

Counts: 16 → 16

prune46.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.3b	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `associate-*l/` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+`
1×	`+-commutative` `pow2` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 154

Calls

4 calls:

52.0ms	(+ (* 2 (+ x y)) (+ x z))
53.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
78.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
300.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* 2 (+ x y)) (+ x z))
108.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
91.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
85.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify1.3s

Counts: 166 → 166

prune712.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))) (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))) (sqrt (+ (* 2 (+ x y)) (+ x z))))
0.3b	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
0.3b	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
0.3b	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite3.1s

Algorithm

rewrite-expression-head

Rules

8250×	`sqrt-div`
6875×	`flip3-+` `flip-+`
6192×	`cbrt-div`
5842×	`associate-*r/`
5832×	`frac-times`
5500×	`frac-add`
972×	`associate-*l/`
18×	`cbrt-prod`
15×	`pow1` `pow1/3`
13×	`add-exp-log` `add-cube-cbrt`
12×	`add-sqr-sqrt` `*-un-lft-identity` `sqrt-prod`
9×	`add-cbrt-cube`
8×	`pow-prod-up`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow-plus` `pow-sqr`
1×	`swap-sqr` `associate-l` `*-commutative`

Counts

4 → 2489

Calls

4 calls:

1.6s	(* (* (* (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))) (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))) (sqrt (+ (* 2 (+ x y)) (+ x z))))
41.0ms	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
43.0ms	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
44.0ms	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* (* (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))) (cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))) (sqrt (+ (* 2 (+ x y)) (+ x z))))
352.0ms	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
353.0ms	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))
337.0ms	(cbrt (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify9.7s

Counts: 2501 → 2501

prune47.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

758.0ms	7407×	body	80	valid
41.0ms	136×	body	320	valid
32.0ms	180×	body	1280	valid
28.0ms	189×	body	640	valid
8.0ms	68×	body	160	valid
6.0ms	25×	body	2560	valid