Details

sample372.0ms

Algorithm

intervals

Results

209.0ms	78×	body	1280	valid
71.0ms	57×	body	640	valid
33.0ms	33×	body	320	valid
20.0ms	77×	body	80	valid
6.0ms	11×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2752
3	622
2	177
1	74
0	32

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize104.0ms

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))
2.3b	(- (cos x) (cos y))

rewrite203.0ms

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` `distribute-lft-out--`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 94

Calls

4 calls:

122.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
65.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms	(- 3.0 (sqrt 5.0))
6.0ms	(- (cos x) (cos y))

series370.0ms

Counts

4 → 10

Calls

4 calls:

162.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
126.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
83.0ms	(- (cos x) (cos y))

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5027
2	2108
1	652
0	241

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize122.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(- (cos x) (cos y))
3.6b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
9×	`add-log-exp`
8×	`add-cube-cbrt`
7×	`pow1` `log-prod`
6×	`sub-neg` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`sqrt-prod` `difference-of-squares`
4×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
3×	`flip3--` `log-pow` `flip--` `distribute-lft-out--`
2×	`diff-log` `associate-*r/` `unswap-sqr`
1×	`exp-prod` `times-frac` `exp-to-pow` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `diff-cos`

Counts

4 → 79

Calls

4 calls:

61.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))
10.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series376.0ms

Counts

4 → 10

Calls

4 calls:

116.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
81.0ms	(- (cos x) (cos y))
178.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify2.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	4798
2	1240
1	449
0	201

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize101.0ms

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)))
2.3b	(- (cos x) (cos y))
3.6b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

102.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
61.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- (cos x) (cos y))
11.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series552.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
126.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
79.0ms	(- (cos x) (cos y))
183.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5003
2	1951
1	590
0	224

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize145.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
0.3b	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
2.3b	(- (cos x) (cos y))
3.6b	(log (exp (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))))

rewrite471.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1`
18×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
16×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `sqrt-prod` `cbrt-unprod`
8×	`flip3--` `flip--`
7×	`log-prod` `associate-r` `add-log-exp`
4×	`frac-times` `exp-sum`
3×	`log-pow` `difference-of-squares`
2×	`associate-l/` `-commutative` `distribute-lft-out--`
1×	`exp-prod` `times-frac` `exp-to-pow` `diff-log` `rem-log-exp` `diff-cos`

Counts

4 → 103

Calls

4 calls:

118.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
333.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
6.0ms	(- (cos x) (cos y))
7.0ms	(log (exp (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))))

series608.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
195.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
88.0ms	(- (cos x) (cos y))
180.0ms	(log (exp (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))))

simplify2.2s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	2235
1	618
0	236

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes355.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	49
1	49
0	39

end0.0ms

sample15.8s

Algorithm

intervals

Results

8.4s	2762×	body	1280	valid
4.1s	1807×	body	640	valid
1.4s	2287×	body	80	valid
1.3s	807×	body	320	valid
213.0ms	337×	body	160	valid