Details

sample87.0ms

Algorithm

intervals

Results

24.0ms	45×	body	10240	exit
20.0ms	331×	body	80	nan
18.0ms	256×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1114
5	256
4	110
3	45
2	22
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`unpow-prod-up`
9×	`prod-diff`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `rem-sqrt-square` `sub-neg` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 63

Calls

3 calls:

10.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
11.0ms	(pow (sqrt (atan2 b b)) (- b a))
1.0ms	(sqrt (atan2 b b))

series157.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
40.0ms	(pow (sqrt (atan2 b b)) (- b a))
12.0ms	(sqrt (atan2 b b))

simplify1.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	1729
2	682
1	308
0	117

prune348.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
26×	`add-cube-cbrt`
24×	`sqrt-prod`
22×	`unpow-prod-up`
18×	`unpow-prod-down` `prod-diff`
12×	`pow1`
10×	`pow-unpow` `pow-pow` `sqrt-pow1`
6×	`pow1/2` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `sub-neg` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

16.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
15.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
2.0ms	(sqrt (atan2 b b))
3.0ms	(sqrt (atan2 b b))

series133.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
54.0ms	(pow (sqrt (sqrt (atan2 b b))) (- b a))
19.0ms	(sqrt (atan2 b b))
19.0ms	(sqrt (atan2 b b))

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5002
3	2010
2	761
1	338
0	122

prune661.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(sin (pow (atan2 b b) (/ (- b a) 2)))
0.0b	(pow (atan2 b b) (/ (- b a) 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow-unpow`
18×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
3×	`pow1` `unpow-prod-down` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-pow` `div-sub` `pow-exp` `div-inv` `pow-sub` `sqr-pow`

Counts

2 → 45

Calls

2 calls:

7.0ms	(sin (pow (atan2 b b) (/ (- b a) 2)))
10.0ms	(pow (atan2 b b) (/ (- b a) 2))

series138.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(sin (pow (atan2 b b) (/ (- b a) 2)))
35.0ms	(pow (atan2 b b) (/ (- b a) 2))

simplify2.1s

Counts

51 → 51

Iterations

Iter	Nodes
done	5002
3	2203
2	692
1	258
0	104

prune388.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (* (cbrt 2) (cbrt 2)))
1.0b	(cbrt 2)
1.0b	(cbrt 2)
1.0b	(cbrt 2)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `pow1/3` `add-cube-cbrt` `pow-flip`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 76

Calls

4 calls:

21.0ms	(/ 1 (* (cbrt 2) (cbrt 2)))
1.0ms	(cbrt 2)
1.0ms	(cbrt 2)
1.0ms	(cbrt 2)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ 1 (* (cbrt 2) (cbrt 2)))
0.0ms	(cbrt 2)
0.0ms	(cbrt 2)
0.0ms	(cbrt 2)

simplify1.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5134
5	1823
4	887
3	527
2	256
1	130
0	68

prune498.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.7s	1746×	body	10240	exit
1.4s	7986×	body	80	valid
1.3s	9649×	body	80	nan
3.0ms	1×	body	5120	valid
3.0ms	4×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	1×	body	1280	valid
1.0ms	4×	body	160	valid