Details

sample330.0ms

Algorithm

intervals

Results

198.0ms	87×	body	1280	valid
57.0ms	51×	body	640	valid
22.0ms	28×	body	320	valid
20.0ms	82×	body	80	valid
4.0ms	8×	body	160	valid

simplify845.0ms

Counts: 1 → 1

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize45.0ms

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

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

359.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
74.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series407.0ms

Counts

4 → 10

Calls

4 calls:

243.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
103.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
60.0ms	(- (cos x) (cos y))

simplify1.8s

Counts: 125 → 125

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize53.0ms

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)))
0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.1b	(- (cos x) (cos y))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
27×	`add-sqr-sqrt`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r`
17×	`*-un-lft-identity`
16×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp` `difference-of-squares`
4×	`sqrt-prod` `distribute-lft-out--`
3×	`*-commutative`
2×	`times-frac` `diff-cos` `unswap-sqr`
1×	`diff-log`

Counts

4 → 133

Calls

4 calls:

103.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
332.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
59.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- (cos x) (cos y))

series667.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
319.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
96.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
64.0ms	(- (cos x) (cos y))

simplify1.9s

Counts: 145 → 145

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.6b	(pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3)
3.1b	(- (cos x) (cos y))

rewrite642.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

72.0ms	(cbrt (pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3))
103.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
438.0ms	(pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3)
7.0ms	(- (cos x) (cos y))

series1.9s

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt (pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3))
131.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.3s	(pow (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))) 3)
80.0ms	(- (cos x) (cos y))

simplify709.0ms

Counts: 155 → 155

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize116.0ms

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))) (- (cos x) (cos y)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.1b	(- (cos x) (cos y))
3.8b	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite562.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

453.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
68.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- (cos x) (cos y))
20.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series880.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
149.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
86.0ms	(- (cos x) (cos y))
330.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify2.0s

Counts: 130 → 130

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

regimes301.0ms

Accuracy

8.4% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.2s

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.3s	2705×	body	1280	valid
3.7s	1806×	body	640	valid
1.2s	2375×	body	80	valid
727.0ms	765×	body	320	valid
230.0ms	349×	body	160	valid