Details

sample71.0ms

Algorithm

intervals

Results

23.0ms	55×	body	10240	exit
18.0ms	334×	body	80	nan
14.0ms	256×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	22	9
3	45	9
4	110	9
5	248	9
6	724	9
7	2615	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b	(sqrt (atan2 b b))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0ms	(sqrt (atan2 b b))

series75.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
16.0ms	(sqrt (atan2 b b))

simplify2.7s

Counts

26 → 26

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	37	238
1	61	224
2	100	204
3	167	195
4	271	195
5	475	195
6	1091	195
7	3400	195
done	5000	195

prune62.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.0b	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
21.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series144.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
59.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
10.0ms	(sqrt (atan2 b b))
13.0ms	(sqrt (atan2 b b))

simplify3.7s

Counts

94 → 94

Iterations

Useful iterations: 5 (1.3s)

Iter	Nodes	Cost
0	77	1621
1	129	1069
2	275	953
3	631	884
4	1207	872
5	4983	862
done	5000	862

prune206.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 5) (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))))
0.5b	(pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 5)
1.0b	(sqrt (atan2 b b))
1.0b	(sqrt (atan2 b b))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
34×	`cbrt-prod`
27×	`unpow-prod-down`
23×	`sqrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unswap-sqr`
13×	`associate-l`
10×	`add-exp-log`
9×	`associate-r`
8×	`pow1`
5×	`add-cbrt-cube` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`pow-plus` `pow1/3` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

38.0ms	(* (pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 5) (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))))
6.0ms	(pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 5)
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series275.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 5) (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))))
193.0ms	(pow (cbrt (sqrt (sin (pow (sqrt (atan2 b b)) (- b a))))) 5)
10.0ms	(sqrt (atan2 b b))
11.0ms	(sqrt (atan2 b b))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: 3 (403.0ms)

Iter	Nodes	Cost
0	128	2599
1	271	2126
2	755	2052
3	2837	1997
done	5000	1997

prune340.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

772.0ms	1813×	body	10240	exit
470.0ms	9828×	body	80	nan
447.0ms	7983×	body	80	valid
3.0ms	5×	body	1280	valid
3.0ms	1×	body	5120	valid
1.0ms	1×	body	2560	valid
1.0ms	6×	body	160	valid
1.0ms	2×	body	640	valid
1.0ms	2×	body	320	valid