Details

analyze403.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

sample72.0ms

Algorithm

intervals

Results

23.0ms	56×	body	1280	valid
8.0ms	28×	body	1280	invalid
8.0ms	41×	body	640	invalid
7.0ms	31×	body	640	valid
7.0ms	139×	body	80	valid
3.0ms	20×	body	320	valid
3.0ms	19×	body	320	invalid
1.0ms	13×	body	160	invalid
1.0ms	19×	body	80	invalid
1.0ms	10×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	764	7
1	764	7

prune3.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 61

Calls

2 calls:

6.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

series21.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4956	568
1	4956	568

prune102.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	59	8	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 178

Calls

3 calls:

23.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
10.0ms	(/ 1 (/ y (sin y)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
4.0ms	(/ 1 (/ y (sin y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5025	1761

prune167.0ms

Filtered

122 candidates to 187 candidates (-53.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	188	8	196

Merged error: 0b

Counts

196 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 479

Calls

3 calls:

43.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series31.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms	(/ 1 (sin y))
10.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4963	5934
1	4963	5934

prune469.0ms

Filtered

256 candidates to 488 candidates (-90.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	487	1	488
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	489	7	496

Merged error: 0b

Counts

496 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(* (sin y) (+ (exp x) (exp (neg x))))
0.1b	(/ y (* (sin y) (+ (exp x) (exp (neg x)))))
0.1b	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (neg x))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
30×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-r`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

4.0ms	(+ (exp x) (exp (neg x)))
7.0ms	(* (sin y) (+ (exp x) (exp (neg x))))
8.0ms	(/ y (* (sin y) (+ (exp x) (exp (neg x)))))
10.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (neg x))))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (exp x) (exp (neg x)))
14.0ms	(* (sin y) (+ (exp x) (exp (neg x))))
25.0ms	(/ y (* (sin y) (+ (exp x) (exp (neg x)))))
17.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (neg x))))))

simplify58.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4966	1807
1	4966	1807

prune127.0ms

Filtered

97 candidates to 126 candidates (-29.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	126	7	133

Merged error: 0b

Counts

133 → 7

regimes243.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

analyze333.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

sample2.2s

Algorithm

intervals

Results

527.0ms	1486×	body	1280	valid
439.0ms	1467×	body	1280	invalid
265.0ms	1280×	body	640	valid
234.0ms	1180×	body	640	invalid
223.0ms	4331×	body	80	valid
88.0ms	599×	body	320	valid
85.0ms	603×	body	320	invalid
31.0ms	514×	body	80	invalid
29.0ms	304×	body	160	valid
27.0ms	273×	body	160	invalid

Details

analyze403.0ms

sample72.0ms

simplify25.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series21.0ms

simplify44.0ms

prune102.0ms

localize13.0ms

rewrite49.0ms

series27.0ms

simplify64.0ms

prune167.0ms

localize9.0ms

rewrite90.0ms

series31.0ms

simplify102.0ms

prune469.0ms

localize14.0ms

rewrite33.0ms

series59.0ms

simplify58.0ms

prune127.0ms

regimes243.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze333.0ms

sample2.2s

Profiling