Details

sample466.0ms

Algorithm

intervals

Results

248.0ms	79×	body	1280	valid
107.0ms	63×	body	640	valid
33.0ms	26×	body	320	valid
26.0ms	78×	body	80	valid
7.0ms	10×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3141
3	655
2	181
1	74
0	32

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize84.0ms

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)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))

rewrite226.0ms

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:

134.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
63.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- 3.0 (sqrt 5.0))
13.0ms	(- (cos x) (cos y))

series430.0ms

Counts

4 → 10

Calls

4 calls:

215.0ms	(* (* (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))
88.0ms	(- (cos x) (cos y))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2910
1	652
0	241

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))
3.1b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite94.0ms

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:

46.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
19.0ms	(- 3.0 (sqrt 5.0))
11.0ms	(- (cos x) (cos y))
14.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series486.0ms

Counts

4 → 10

Calls

4 calls:

157.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
89.0ms	(- (cos x) (cos y))
240.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify1.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1665
1	449
0	201

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize91.0ms

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)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.9b	(- (cos x) (cos y))
3.1b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite213.0ms

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:

139.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
55.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms	(- (cos x) (cos y))
8.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series707.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
167.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
84.0ms	(- (cos x) (cos y))
206.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2767
1	590
0	224

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.5b	(pow (- (cos x) (cos y)) 3)
1.9b	(- (cos x) (cos y))
3.1b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
11×	`add-cube-cbrt`
8×	`pow1`
7×	`log-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`unpow-prod-down` `cube-prod` `associate-r` `associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `distribute-lft-in` `exp-sum` `sqrt-prod` `distribute-lft-out--`
3×	`pow-unpow` `flip3--` `log-pow` `diff-cos` `flip--`
2×	`cube-div` `associate-*r/` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `exp-prod` `pow-pow` `times-frac` `exp-to-pow` `diff-log` `unpow3` `rem-log-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

55.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
15.0ms	(pow (- (cos x) (cos y)) 3)
15.0ms	(- (cos x) (cos y))
8.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series592.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
100.0ms	(pow (- (cos x) (cos y)) 3)
101.0ms	(- (cos x) (cos y))
213.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	2479
1	577
0	204

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes380.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	58
1	58
0	45

end0.0ms

sample16.8s

Algorithm

intervals

Results

9.9s	2745×	body	1280	valid
3.8s	1798×	body	640	valid
1.1s	734×	body	320	valid
994.0ms	2330×	body	80	valid
382.0ms	393×	body	160	valid