Details

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

125.0ms	94×	body	1280	valid
55.0ms	59×	body	640	valid
12.0ms	20×	body	320	valid
12.0ms	63×	body	80	valid
8.0ms	20×	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

prune5.0ms

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

localize34.0ms

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)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.2b	(- (cos x) (cos y))

rewrite49.0ms

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:

22.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series64.0ms

Counts

4 → 10

Calls

4 calls:

41.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	844	1973
1	4413	1829
2	5001	1829

prune382.0ms

Filtered

88 candidates to 125 candidates (-42.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	8	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	8	126

Merged error: 0.3b

Counts

126 → 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)))
0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.2b	(- (cos x) (cos y))

rewrite65.0ms

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:

18.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
26.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series89.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
39.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- (cos x) (cos y))

simplify123.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (22.0ms)

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

prune466.0ms

Filtered

101 candidates to 145 candidates (-43.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	145	8	153

Merged error: 0.3b

Counts

153 → 8

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.5b	(cbrt (pow (- (cos x) (cos y)) 3))
0.6b	(pow (- (cos x) (cos y)) 3)
2.2b	(- (cos x) (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
5.0ms	(pow (- (cos x) (cos y)) 3)
4.0ms	(- (cos x) (cos y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
13.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
14.0ms	(pow (- (cos x) (cos y)) 3)
10.0ms	(- (cos x) (cos y))

simplify48.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	406	821
1	1588	778
2	5002	770

prune308.0ms

Filtered

68 candidates to 118 candidates (-73.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Merged error: 0.2b

Counts

126 → 9

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (cbrt (pow (- (cos x) (cos y)) 3)) 3))
0.6b	(pow (- (cos x) (cos y)) 3)
0.6b	(pow (cbrt (pow (- (cos x) (cos y)) 3)) 3)
2.2b	(- (cos x) (cos y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

120×	`cbrt-prod`
72×	`unpow-prod-down` `cube-prod`
47×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
11×	`diff-cos` `distribute-lft-out--` `difference-of-squares`
10×	`cube-div`
7×	`cube-mult` `unpow3` `sqr-pow`
6×	`pow1` `add-exp-log` `pow-unpow` `cbrt-div` `add-log-exp`
5×	`add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow-pow`
2×	`pow-to-exp` `pow1/3` `pow-exp` `rem-cube-cbrt`
1×	`sub-neg` `diff-log` `rem-cbrt-cube`

Counts

4 → 167

Calls

4 calls:

10.0ms	(cbrt (pow (cbrt (pow (- (cos x) (cos y)) 3)) 3))
5.0ms	(pow (- (cos x) (cos y)) 3)
9.0ms	(pow (cbrt (pow (- (cos x) (cos y)) 3)) 3)
5.0ms	(- (cos x) (cos y))

series52.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt (pow (cbrt (pow (- (cos x) (cos y)) 3)) 3))
19.0ms	(pow (- (cos x) (cos y)) 3)
14.0ms	(pow (cbrt (pow (- (cos x) (cos y)) 3)) 3)
9.0ms	(- (cos x) (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	418	1257
1	1108	1185
2	5001	1163

prune268.0ms

Filtered

66 candidates to 179 candidates (-171.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	179	9	188

Merged error: 0.2b

Counts

188 → 9

regimes172.0ms

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	54	40
1	54	40

end0.0ms

sample9.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

4.0s	2801×	body	1280	valid
1.5s	1727×	body	640	valid
469.0ms	2386×	body	80	valid
459.0ms	751×	body	320	valid
138.0ms	335×	body	160	valid

Details

sample3.1s

simplify51.0ms

prune5.0ms

localize34.0ms

rewrite49.0ms

series64.0ms

simplify108.0ms

prune382.0ms

localize39.0ms

rewrite65.0ms

series89.0ms

simplify123.0ms

prune466.0ms

localize44.0ms

rewrite27.0ms

series49.0ms

simplify48.0ms

prune308.0ms

localize49.0ms

rewrite35.0ms

series52.0ms

simplify55.0ms

prune268.0ms

regimes172.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample9.7s

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