Details

analyze2.8s

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 75%

sample219.0ms

Algorithm

intervals

Results

130.0ms	96×	body	1280	valid
43.0ms	51×	body	640	valid
14.0ms	78×	body	80	valid
13.0ms	22×	body	320	valid
4.0ms	9×	body	160	valid

simplify54.0ms

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

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.0b	(- (cos x) (cos y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`associate-l`
20×	`times-frac`
18×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`associate-r`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`distribute-lft-out--`
4×	`sub-neg` `unswap-sqr`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `pow-prod-down` `-commutative`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv` `diff-cos`

Counts

4 → 102

Calls

4 calls:

11.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
6.0ms	(- (cos x) (cos y))

series31.0ms

Counts

4 → 10

Calls

4 calls:

7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
14.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify62.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	584	813
1	2075	753
2	5001	753

prune398.0ms

Filtered

76 candidates to 112 candidates (-47.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	100	12	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	12	113

Merged error: 0.2b

Counts

113 → 12

localize42.0ms

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`flip3--` `associate-l` `flip--`
28×	`frac-times` `associate-*r/`
20×	`add-exp-log` `times-frac` `add-cbrt-cube`
19×	`add-cube-cbrt`
17×	`pow1`
15×	`associate-r` `associate-*l/`
10×	`difference-of-squares`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
7×	`sqrt-prod`
6×	`distribute-lft-out--` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
3×	`*-commutative`
2×	`diff-cos`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv`

Counts

4 → 141

Calls

4 calls:

25.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
11.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))

series77.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
19.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- (cos x) (cos y))

simplify49.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	977	2200
1	5001	2033

prune654.0ms

Filtered

107 candidates to 153 candidates (-43.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	154	11	165

Merged error: 0.1b

Counts

165 → 11

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0b	(- (cos x) (cos y))
3.1b	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

11.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
12.0ms	(* (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))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
14.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- (cos x) (cos y))
43.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	572	1171
1	2160	1062
2	5001	1062

prune480.0ms

Filtered

80 candidates to 117 candidates (-46.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	115	13	128

Merged error: 0.1b

Counts

128 → 13

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

23.0ms	(cbrt (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))
5.0ms	(- (cos x) (cos y))
5.0ms	(- (cos x) (cos y))
5.0ms	(- (cos x) (cos y))

series206.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))
14.0ms	(- (cos x) (cos y))
9.0ms	(- (cos x) (cos y))
10.0ms	(- (cos x) (cos y))

simplify85.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	662	1701
1	3044	1647
2	5002	1645

prune573.0ms

Filtered

75 candidates to 92 candidates (-22.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	91	14	105

Merged error: 0.1b

Counts

105 → 14

regimes263.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	36
1	49	36

end0.0ms

analyze2.8s

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 75%

sample6.9s

Algorithm

intervals

Results

3.9s	2738×	body	1280	valid
1.6s	1814×	body	640	valid
470.0ms	2375×	body	80	valid
468.0ms	737×	body	320	valid
137.0ms	336×	body	160	valid

Details

analyze2.8s

sample219.0ms

simplify54.0ms

prune5.0ms

localize40.0ms

rewrite36.0ms

series31.0ms

simplify62.0ms

prune398.0ms

localize42.0ms

rewrite61.0ms

series77.0ms

simplify49.0ms

prune654.0ms

localize41.0ms

rewrite36.0ms

series74.0ms

simplify63.0ms

prune480.0ms

localize50.0ms

rewrite42.0ms

series206.0ms

simplify85.0ms

prune573.0ms

regimes263.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze2.8s

sample6.9s

Profiling