Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	8	5
done	8	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (fabs (- x y)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

2.0ms

(sqrt (fabs (- x y)))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(sqrt (fabs (- x y)))

simplify2.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	20	115
1	27	99
2	31	96
3	35	96
4	41	96
5	51	96
6	72	96
7	148	96
8	445	96
9	1868	96
done	5000	96

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (fabs (- x y))))
0.4b	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 66

Calls

4 calls:

2.0ms	(sqrt (cbrt (fabs (- x y))))
19.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
2.0ms	(cbrt (fabs (- x y)))
2.0ms	(cbrt (fabs (- x y)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(sqrt (cbrt (fabs (- x y))))
84.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
84.0ms	(cbrt (fabs (- x y)))
74.0ms	(cbrt (fabs (- x y)))

simplify3.1s

Counts

78 → 78

Iterations

Useful iterations: 3 (265.0ms)

Iter	Nodes	Cost
0	68	924
1	114	858
2	302	778
3	759	772
4	2686	772
done	5001	772

prune301.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.5b	(pow (sqrt (fabs (- x y))) 3)
19.2b	(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt` `sqrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `pow-pow` `add-log-exp`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sqrt (fabs (- x y)))
7.0ms	(pow (sqrt (fabs (- x y))) 3)
7.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

series65.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(sqrt (fabs (- x y)))
35.0ms	(pow (sqrt (fabs (- x y))) 3)
12.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify3.2s

Counts

81 → 81

Iterations

Useful iterations: 3 (884.0ms)

Iter	Nodes	Cost
0	69	944
1	136	625
2	350	619
3	2654	607
done	5000	607

prune174.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.2b	(* (fabs (- x y)) (sqrt (fabs (- x y))))
19.2b	(cbrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
6×	`associate-r`
5×	`add-exp-log` `add-cbrt-cube`
3×	`associate-l` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow3` `pow-prod-up` `unswap-sqr`
1×	`cbrt-prod` `rem-sqrt-square` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

3 → 48

Calls

3 calls:

2.0ms	(sqrt (fabs (- x y)))
19.0ms	(* (fabs (- x y)) (sqrt (fabs (- x y))))
11.0ms	(cbrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))

series75.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(sqrt (fabs (- x y)))
46.0ms	(* (fabs (- x y)) (sqrt (fabs (- x y))))
11.0ms	(cbrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))

simplify3.0s

Counts

57 → 57

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	52	604
1	87	533
2	209	438
3	376	398
4	703	398
5	2020	394
done	5001	392

prune142.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
done	5	5

end0.0ms

sample565.0ms

Algorithm

intervals

Results

293.0ms

8000×

body

valid