Details

sample193.0ms

Algorithm

intervals

Results

91.0ms	78×	body	1280	valid
51.0ms	66×	body	640	valid
14.0ms	27×	body	320	valid
11.0ms	74×	body	80	valid
4.0ms	11×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 1

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))
2.9b	(- (cos x) (cos y))

rewrite46.0ms

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:

22.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series289.0ms

Counts

4 → 10

Calls

4 calls:

141.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
93.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
55.0ms	(- (cos x) (cos y))

simplify72.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (17.0ms)

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

prune530.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Merged error: 0.3b

Counts

105 → 8

localize39.0ms

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)))
0.3b	(* (* (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)))
2.9b	(- (cos x) (cos y))

rewrite76.0ms

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:

23.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
25.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
18.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series514.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
138.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
59.0ms	(- (cos x) (cos y))

simplify129.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	848	2481
1	4931	2282
2	5002	2282

prune835.0ms

Filtered

145 candidates to 101 candidates (69.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	145	8	153

Merged error: 0.3b

Counts

153 → 8

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (log (exp (* (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)))
2.9b	(- (cos x) (cos y))
3.2b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

17.0ms	(* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
16.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series494.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
97.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
57.0ms	(- (cos x) (cos y))
99.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	534	1363
1	2463	1211
2	5001	1211

prune660.0ms

Filtered

109 candidates to 76 candidates (69.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	108	9	117

Merged error: 0.2b

Counts

117 → 9

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin y) (/ (sin x) 16.0)))
0.6b	(cbrt (- (sin y) (/ (sin x) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.9b	(- (cos x) (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod`
8×	`add-log-exp`
7×	`difference-of-squares`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `times-frac` `pow1/3` `diff-log`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 62

Calls

4 calls:

8.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
7.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series385.0ms

Counts

4 → 10

Calls

4 calls:

159.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
162.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
64.0ms	(- (cos x) (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	314	601
1	715	567
2	1935	555
3	5002	549

prune470.0ms

Filtered

72 candidates to 56 candidates (77.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	70	11	81

Merged error: 0.2b

Counts

81 → 11

regimes208.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	36
1	49	36

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.3s	2750×	body	1280	valid
1.4s	1831×	body	640	valid
413.0ms	749×	body	320	valid
397.0ms	2336×	body	80	valid
117.0ms	334×	body	160	valid

Details

sample193.0ms

simplify58.0ms

prune6.0ms

localize33.0ms

rewrite46.0ms

series289.0ms

simplify72.0ms

prune530.0ms

localize39.0ms

rewrite76.0ms

series514.0ms

simplify129.0ms

prune835.0ms

localize43.0ms

rewrite45.0ms

series494.0ms

simplify80.0ms

prune660.0ms

localize40.0ms

rewrite27.0ms

series385.0ms

simplify70.0ms

prune470.0ms

regimes208.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.0s

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