Details

sample139.0ms

Algorithm

intervals

Results

52.0ms	56×	body	10240	exit
31.0ms	323×	body	80	nan
26.0ms	256×	body	80	valid

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	22	9
3	45	9
4	117	9
5	438	9
6	4540	9
done	5001	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

19.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
2.0ms	(sqrt (atan2 b b))

series123.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
29.0ms	(sqrt (atan2 b b))

simplify776.0ms

Counts

26 → 26

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	37	238
1	61	224
2	102	204
3	174	195
4	301	195
5	746	195
done	5001	195

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite74.0ms

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:

13.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
56.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0ms	(sqrt (atan2 b b))
2.0ms	(sqrt (atan2 b b))

series184.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
85.0ms	(* (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))) (sqrt (sin (pow (sqrt (atan2 b b)) (- b a)))))
11.0ms	(sqrt (atan2 b b))
12.0ms	(sqrt (atan2 b b))

simplify12.7s

Counts

94 → 94

Iterations

Useful iterations: done (12.7s)

Iter	Nodes	Cost
0	77	1621
1	154	1081
2	556	953
3	4031	884
done	5000	850

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (sin (pow (sqrt (atan2 b b)) (- b a))))
0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.3b	(log (exp (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0b	(sqrt (atan2 b b))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

29.0ms	(exp (sin (pow (sqrt (atan2 b b)) (- b a))))
9.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
17.0ms	(log (exp (sin (pow (sqrt (atan2 b b)) (- b a)))))
1.0ms	(sqrt (atan2 b b))

series283.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(exp (sin (pow (sqrt (atan2 b b)) (- b a))))
74.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
78.0ms	(log (exp (sin (pow (sqrt (atan2 b b)) (- b a)))))
12.0ms	(sqrt (atan2 b b))

simplify1.3s

Counts

58 → 58

Iterations

Useful iterations: 5 (746.0ms)

Iter	Nodes	Cost
0	69	720
1	124	671
2	239	604
3	471	573
4	858	573
5	1748	571
done	5001	571

prune220.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.3b	(log (cbrt (pow (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) 3)))
0.3b	(pow (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) 3)
1.0b	(sqrt (atan2 b b))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
7×	`pow1`
6×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `add-cbrt-cube`
4×	`pow-pow` `add-log-exp`
3×	`pow-unpow` `exp-prod` `sqrt-prod`
2×	`cube-mult` `unpow3` `log-pow` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3` `rem-log-exp` `pow-exp` `rem-cube-cbrt`

Counts

4 → 71

Calls

4 calls:

19.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
27.0ms	(log (cbrt (pow (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) 3)))
50.0ms	(pow (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) 3)
2.0ms	(sqrt (atan2 b b))

series415.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
108.0ms	(log (cbrt (pow (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) 3)))
205.0ms	(pow (exp (sin (pow (sqrt (atan2 b b)) (- b a)))) 3)
21.0ms	(sqrt (atan2 b b))

simplify727.0ms

Counts

83 → 83

Iterations

Useful iterations: done (724.0ms)

Iter	Nodes	Cost
0	113	1451
1	251	1238
2	951	1092
done	5000	1053

prune300.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.2s	1840×	body	10240	exit
1.0s	9702×	body	80	nan
899.0ms	7988×	body	80	valid
6.0ms	2×	body	5120	valid
2.0ms	2×	body	1280	valid
1.0ms	7×	body	160	valid
0.0ms	1×	body	320	valid