Details

sample177.0ms

Algorithm

intervals

Results

84.0ms	81×	body	1280	valid
37.0ms	56×	body	640	valid
15.0ms	77×	body	80	valid
12.0ms	27×	body	320	valid
5.0ms	15×	body	160	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

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))
1.6b	(- (cos x) (cos y))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
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:

106.0ms	(* (* (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)))
7.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series266.0ms

Counts

4 → 10

Calls

4 calls:

125.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
82.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
59.0ms	(- (cos x) (cos y))

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002

prune548.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
1.0b	(- 3.0 (sqrt 5.0))
1.6b	(- (cos x) (cos y))
7.1b	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cube-div` `associate-*r/`
14×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`cbrt-prod` `frac-times` `cbrt-div` `add-log-exp`
6×	`add-cube-cbrt`
4×	`associate-*l/`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `diff-log` `unpow3` `cube-prod` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `sqrt-prod` `rem-cbrt-cube` `diff-cos`

Counts

4 → 88

Calls

4 calls:

81.0ms	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
7.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))
15.0ms	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

series551.0ms

Counts

4 → 10

Calls

4 calls:

370.0ms	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
0.0ms	(- 3.0 (sqrt 5.0))
49.0ms	(- (cos x) (cos y))
132.0ms	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	696	1370
1	3154	1289
2	5001	1289

prune664.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (* (cos x) (cos x)) (* (cos y) (cos y)))
7.1b	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cube-div` `associate-*r/`
14×	`flip3--` `flip--`
10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`cbrt-prod` `frac-times` `cbrt-div` `*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`associate-*l/` `cos-mult`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `sqr-cos` `diff-log` `unpow3` `cube-prod` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `associate--l+` `sqrt-prod` `frac-sub` `rem-cbrt-cube` `associate--r+` `distribute-lft-out--` `sub-div`

Counts

4 → 90

Calls

4 calls:

80.0ms	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
7.0ms	(- 3.0 (sqrt 5.0))
19.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))
15.0ms	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

series571.0ms

Counts

4 → 10

Calls

4 calls:

375.0ms	(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
0.0ms	(- 3.0 (sqrt 5.0))
68.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))
127.0ms	(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	722	1431
1	3408	1322
2	5001	1322

prune782.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (cos x) (cos y))
4.7b	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.7b	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.7b	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div` `associate-*r/`
19×	`flip3--` `flip--`
12×	`frac-times`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`cbrt-prod` `pow1/3`
1×	`sub-neg` `diff-log` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 66

Calls

4 calls:

8.0ms	(- (cos x) (cos y))
76.0ms	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
76.0ms	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
79.0ms	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series895.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (cos x) (cos y))
280.0ms	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
283.0ms	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
278.0ms	(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	364	1468
1	1168	1386
2	5001	1365

prune671.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

regimes144.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	32
1	43	32

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.9s	2706×	body	1280	valid
1.3s	1866×	body	640	valid
369.0ms	771×	body	320	valid
314.0ms	2299×	body	80	valid
118.0ms	358×	body	160	valid