Details

sample518.0ms

Algorithm

intervals

Results

293.0ms	94×	body	1280	valid
86.0ms	44×	body	640	valid
72.0ms	82×	body	80	valid
33.0ms	25×	body	320	valid
9.0ms	11×	body	160	valid

simplify566.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
3	622
2	177
1	74
0	32

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize96.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.2b	(- (cos x) (cos y))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out--`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 98

Calls

4 calls:

87.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
39.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- 3.0 (sqrt 5.0))
10.0ms	(- (cos x) (cos y))

series408.0ms

Counts

4 → 10

Calls

4 calls:

188.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
133.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
87.0ms	(- (cos x) (cos y))

simplify536.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2000
1	657
0	245

prune913.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize112.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.6b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
2.2b	(- (cos x) (cos y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-div` `flip3--` `add-cbrt-cube` `associate-*r/` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`
3×	`difference-of-squares`
2×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 56

Calls

4 calls:

14.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
11.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
10.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series616.0ms

Counts

4 → 10

Calls

4 calls:

257.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
299.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
60.0ms	(- (cos x) (cos y))

simplify754.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2002
3	1636
2	659
1	303
0	144

prune698.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize110.0ms

Local error

Found 4 expressions with local error:

1.0b	(- 3.0 (sqrt 5.0))
2.2b	(- (cos x) (cos y))
2.2b	(- (cos x) (cos y))
2.2b	(- (cos x) (cos y))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-log-exp`
5×	`difference-of-squares`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`diff-cos`
1×	`sqrt-prod`

Counts

4 → 64

Calls

4 calls:

4.0ms	(- 3.0 (sqrt 5.0))
343.0ms	(- (cos x) (cos y))
6.0ms	(- (cos x) (cos y))
6.0ms	(- (cos x) (cos y))

series235.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(- 3.0 (sqrt 5.0))
86.0ms	(- (cos x) (cos y))
77.0ms	(- (cos x) (cos y))
72.0ms	(- (cos x) (cos y))

simplify788.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2000
4	1553
3	693
2	319
1	159
0	81

prune910.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize144.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
2.2b	(- (cos x) (cos y))
6.7b	(log (exp (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`add-cube-cbrt`
5×	`pow1` `log-pow`
4×	`exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`log-prod` `flip3--` `flip--` `difference-of-squares`
2×	`cbrt-prod` `cbrt-div` `sub-neg` `diff-log` `associate-*r/` `distribute-lft-out--`
1×	`pow1/3` `rem-log-exp` `sqrt-prod` `diff-cos`

Counts

4 → 61

Calls

4 calls:

17.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
6.0ms	(- 3.0 (sqrt 5.0))
12.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

series694.0ms

Counts

4 → 10

Calls

4 calls:

324.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
69.0ms	(- (cos x) (cos y))
300.0ms	(log (exp (cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

simplify821.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2001
3	1661
2	698
1	336
0	169

prune949.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

regimes244.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	49
1	49
0	39

end0.0ms

sample19.2s

Algorithm

intervals

Results

10.2s	2714×	body	1280	valid
5.4s	1807×	body	640	valid
1.5s	2370×	body	80	valid
1.4s	765×	body	320	valid
373.0ms	344×	body	160	valid