Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

2.0ms

(sqrt (fabs (- x y)))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(sqrt (fabs (- x y)))

simplify2.4s

Counts

18 → 18

Iterations

Iter	Nodes
done	5004
9	1457
8	411
7	163
6	94
5	64
4	45
3	37
2	33
1	29
0	22

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.2b	(* (fabs (- x y)) (sqrt (fabs (- x y))))
23.6b	(cbrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
9×	`pow1`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
6×	`associate-r`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 54

Calls

3 calls:

1.0ms	(sqrt (fabs (- x y)))
8.0ms	(* (fabs (- x y)) (sqrt (fabs (- x y))))
4.0ms	(cbrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))

series64.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sqrt (fabs (- x y)))
41.0ms	(* (fabs (- x y)) (sqrt (fabs (- x y))))
11.0ms	(cbrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))

simplify3.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
5	1538
4	654
3	385
2	227
1	107
0	58

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.3b	(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
0.5b	(cbrt (fabs (- x y)))
0.6b	(cbrt (sqrt (fabs (- x y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`cbrt-prod`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`sqrt-prod`
9×	`associate-r`
7×	`pow1`
6×	`associate-l` `add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 80

Calls

4 calls:

2.0ms	(sqrt (fabs (- x y)))
18.0ms	(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
1.0ms	(cbrt (fabs (- x y)))
2.0ms	(cbrt (sqrt (fabs (- x y))))

series147.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (fabs (- x y)))
16.0ms	(* (cbrt (fabs (- x y))) (cbrt (sqrt (fabs (- x y)))))
53.0ms	(cbrt (fabs (- x y)))
60.0ms	(cbrt (sqrt (fabs (- x y))))

simplify2.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
4	2194
3	635
2	284
1	125
0	74

prune443.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))) (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))))
23.1b	(sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))
23.1b	(sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))
23.6b	(cbrt (* (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))) (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

89×	`pow1`
70×	`sqrt-pow1`
35×	`pow-prod-up`
25×	`pow-prod-down`
22×	`pow1/2`
18×	`add-sqr-sqrt`
9×	`pow-sqr`
8×	`*-un-lft-identity` `pow3` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-prod` `pow2` `rem-square-sqrt` `pow-plus` `pow1/3` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

35.0ms	(* (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))) (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))))
5.0ms	(sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))
7.0ms	(sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))
53.0ms	(cbrt (* (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))) (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))) (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))))
79.0ms	(sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))
85.0ms	(sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))
11.0ms	(cbrt (* (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y))))) (sqrt (* (fabs (- x y)) (sqrt (fabs (- x y)))))))

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	1160
2	367
1	160
0	80

prune376.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample507.0ms

Algorithm

intervals

Results

288.0ms

8000×

body

valid