Details

sample358.0ms

Algorithm

intervals

Results

200.0ms	81×	body	1280	valid
80.0ms	63×	body	640	valid
23.0ms	27×	body	320	valid
19.0ms	72×	body	80	valid
8.0ms	13×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize110.0ms

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))
1.8b	(- (cos x) (cos y))

rewrite201.0ms

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:

108.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
71.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
11.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series354.0ms

Counts

4 → 10

Calls

4 calls:

167.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
121.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
66.0ms	(- (cos x) (cos y))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	2113
1	657
0	245

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize97.0ms

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))
1.8b	(- (cos x) (cos y))
3.2b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite89.0ms

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` `insert-posit16`
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 → 83

Calls

4 calls:

67.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))
7.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series309.0ms

Counts

4 → 10

Calls

4 calls:

116.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
74.0ms	(- (cos x) (cos y))
119.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5018
3	2975
2	927
1	374
0	181

prune878.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize126.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.8b	(- (cos x) (cos y))
3.2b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
28×	`associate-l`
20×	`times-frac`
19×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1` `associate-r` `difference-of-squares`
7×	`log-prod` `sqrt-prod` `add-log-exp`
5×	`sub-neg` `distribute-lft-out--`
4×	`distribute-rgt-in` `distribute-lft-in` `exp-sum` `insert-posit16` `unswap-sqr`
3×	`prod-exp` `log-pow` `cbrt-unprod`
2×	`flip3--` `pow-prod-down` `associate-r/` `-commutative` `flip--`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `diff-log` `div-exp` `rem-log-exp` `associate-*l/` `div-inv` `diff-cos`

Counts

4 → 109

Calls

4 calls:

65.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
67.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- (cos x) (cos y))
11.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
92.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
56.0ms	(- (cos x) (cos y))
103.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify1.4s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1624
1	545
0	240

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize114.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.7b	(* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)))
1.8b	(- (cos x) (cos y))
3.2b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
31×	`associate-l`
29×	`*-un-lft-identity` `sqrt-prod`
19×	`times-frac` `add-cube-cbrt`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
9×	`difference-of-squares`
7×	`log-prod` `associate-r` `add-log-exp`
5×	`sub-neg` `distribute-lft-out--`
4×	`distribute-rgt-in` `distribute-lft-in` `sqrt-div` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-l/` `associate-r/` `log-pow`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`frac-times` `exp-prod` `exp-to-pow` `diff-log` `rem-log-exp` `div-inv` `diff-cos`

Counts

4 → 111

Calls

4 calls:

68.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
128.0ms	(* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)))
8.0ms	(- (cos x) (cos y))
7.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series513.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
174.0ms	(* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (* (sqrt (/ (- (sqrt 5.0) 1.0) 2.0)) (cos x)))
94.0ms	(- (cos x) (cos y))
120.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify2.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
3	4629
2	1498
1	576
0	254

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

regimes459.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	54
1	54
0	42

end0.0ms

sample16.1s

Algorithm

intervals

Results

9.7s	2706×	body	1280	valid
3.7s	1814×	body	640	valid
964.0ms	780×	body	320	valid
849.0ms	2334×	body	80	valid
720.0ms	366×	body	160	valid