Details

sample344.0ms

Algorithm

intervals

Results

31.0ms	60×	body	10240	exit
21.0ms	299×	body	80	nan
18.0ms	256×	body	80	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`pow-pow` `add-cbrt-cube` `add-log-exp`
2×	`unpow-prod-up` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 48

Calls

3 calls:

4.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms	(pow (sqrt (atan2 b b)) (- b a))
3.0ms	(sqrt (atan2 b b))

series108.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
22.0ms	(pow (sqrt (atan2 b b)) (- b a))
28.0ms	(sqrt (atan2 b b))

simplify52.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	148	324
1	412	298
2	1345	292
3	5001	290

prune129.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-prod`
78×	`unpow-prod-down`
76×	`add-sqr-sqrt`
25×	`unswap-sqr`
23×	`swap-sqr`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log`
15×	`associate-r` `associate-l`
14×	`sqr-pow`
12×	`unpow-prod-up`
9×	`prod-exp`
6×	`pow1` `pow-to-exp` `sub-neg` `pow-exp` `add-cbrt-cube`
4×	`pow-sub` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow2` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

8.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
27.0ms	(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
1.0ms	(sqrt (atan2 b b))
1.0ms	(sqrt (atan2 b b))

series145.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
37.0ms	(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
10.0ms	(sqrt (atan2 b b))
10.0ms	(sqrt (atan2 b b))

simplify52.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	280	1645
1	1169	1507
2	5001	1483

prune300.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
0.0b	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
0.0b	(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
1.0b	(sqrt (atan2 b b))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

48×	`unpow-prod-down`
21×	`sqrt-prod`
19×	`cbrt-prod`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
5×	`pow1`
4×	`unpow-prod-up` `pow-exp` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow`
2×	`pow-to-exp` `sub-neg`
1×	`rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 78

Calls

4 calls:

13.0ms	(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
6.0ms	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
8.0ms	(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
1.0ms	(sqrt (atan2 b b))

series194.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
37.0ms	(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
61.0ms	(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
10.0ms	(sqrt (atan2 b b))

simplify193.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	298	904
1	820	821
2	4297	792
3	5001	792

prune249.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

990.0ms	1838×	body	10240	exit
606.0ms	9911×	body	80	nan
586.0ms	7994×	body	80	valid
6.0ms	2×	body	5120	valid
2.0ms	2×	body	1280	valid
1.0ms	2×	body	320	valid