Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

403×

body

valid

simplify91.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	32	9
3	57	9
4	69	9
5	70	9
done	70	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

16.0ms

(- (* x x) (* (* y 4.0) z))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(- (* x x) (* (* y 4.0) z))

simplify3.5s

Counts

15 → 15

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	35	220
1	111	213
2	514	185
3	3601	185
done	5001	185

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.4b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite133.0ms

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:

96.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
11.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
11.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
11.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
182.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
185.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
162.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	122	2391
1	293	2224
2	1177	2000
done	5000	1852

prune701.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.1b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
1.9b	(sqrt (- (* x x) (* (* y 4.0) z)))
1.9b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

14.0ms	(- (* x x) (* (* y 4.0) z))
96.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
15.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
15.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* x x) (* (* y 4.0) z))
73.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
111.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
124.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify1.5s

Counts

111 → 111

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	106	2478
1	263	1793
2	1083	1577
done	5000	1538

prune587.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes405.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

636.0ms

12188×

body

valid