Details

sample382.0ms

Algorithm

intervals

Results

48.0ms	55×	body	10240	exit
32.0ms	334×	body	80	nan
24.0ms	256×	body	80	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	5
2	44	5
3	114	5
4	315	5
5	1609	5
6	5001	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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)))
3.0ms	(sqrt (atan2 b b))

series78.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
17.0ms	(sqrt (atan2 b b))

simplify65.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 6 (62.0ms)

Iter	Nodes	Cost
0	60	132
1	102	120
2	172	114
3	291	114
4	566	114
5	2095	114
6	5002	113

prune68.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite28.0ms

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))

series142.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
62.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify112.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	132	640
1	435	562
2	2370	518
3	5002	495

prune207.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))

rewrite48.0ms

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:

35.0ms	(* (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))

series271.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (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))
10.0ms	(sqrt (atan2 b b))

simplify148.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	263	1467
1	952	1396
2	4506	1323
3	5001	1298

prune345.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.5s	1813×	body	10240	exit
886.0ms	9828×	body	80	nan
744.0ms	7983×	body	80	valid
8.0ms	5×	body	1280	valid
6.0ms	1×	body	5120	valid
3.0ms	1×	body	2560	valid
2.0ms	6×	body	160	valid
2.0ms	2×	body	640	valid
1.0ms	2×	body	320	valid