Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	239×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid

simplify43.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	25
1	12
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

1 → 20

Calls

1 calls:

5.0ms

(- x (* (/ 3.0 8.0) y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
4	4008
3	1123
2	333
1	108
0	45

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `prod-diff` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

7.0ms	(- x (* (/ 3.0 8.0) y))
8.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
9.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
38.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- x (* (/ 3.0 8.0) y))
81.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
84.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
43.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify1.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
3	2356
2	680
1	280
0	128

prune464.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`cbrt-div` `associate-*l/` `sqrt-prod`
9×	`cbrt-prod` `flip3--` `flip--`
7×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

38.0ms	(* (* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))
15.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y))))) (sqrt (cbrt (- x (* (/ 3.0 8.0) y)))))
115.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
345.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
332.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify2.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1495
1	525
0	215

prune536.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 69

Calls

4 calls:

4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
9.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
321.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
348.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
322.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
4	4485
3	1378
2	490
1	202
0	99

prune545.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample601.0ms

Algorithm

intervals

Results

333.0ms	7376×	body	80	valid
35.0ms	240×	body	1280	valid
18.0ms	98×	body	2560	valid
17.0ms	141×	body	640	valid
9.0ms	100×	body	320	valid
3.0ms	45×	body	160	valid