Details

sample34.0ms

Algorithm

intervals

Results

21.0ms

293×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
18	1902
17	1757
16	1606
15	1451
14	1306
13	1155
12	1004
11	849
10	586
9	433
8	283
7	208
6	171
5	130
4	94
3	67
2	44
1	24
0	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `associate-/r*` `times-frac` `insert-posit16`
2×	`cbrt-undiv` `associate-+l+` `sum-log` `sub-neg` `diff-log` `div-exp`
1×	`+-commutative` `clear-num` `frac-2neg` `flip3-+` `flip3--` `associate-l/` `prod-exp` `frac-sub` `associate-+l-` `cbrt-unprod` `flip-+` `div-inv` `flip--` `distribute-lft-out` `associate-/l`

Counts

3 → 53

Calls

3 calls:

11.0ms	(/ (* y z) 2.0)
41.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
9.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* y z) 2.0)
68.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
67.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify519.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	2000
2	989
1	292
0	113

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.3b	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

27×	`sqrt-div`
26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`associate-*l/`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`flip3--` `frac-sub` `flip--`
9×	`frac-times` `sqrt-pow1` `pow1/2`
8×	`swap-sqr` `add-log-exp`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `associate-*r/` `pow-sqr`
2×	`sub-neg` `diff-log`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

19.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
15.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
14.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
76.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
71.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
74.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
88.0ms	(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify503.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2000
2	899
1	331
0	149

prune565.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

963.0ms	9140×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid