Details

sample351.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 75.012213%

Space saved by search: 75.012213%

Guaranteed chance to sample good point: 99.804688%

Results

22.0ms	41×	body	1280	valid
13.0ms	47×	body	640	valid
9.0ms	133×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	20×	body	320	valid
2.0ms	15×	body	160	valid

simplify386.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* e (sin v))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

5.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
6.0ms	(* e (sin v))

series44.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
16.0ms	(* e (sin v))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	295	396
1	1372	344
2	5001	344

prune102.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
8.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series41.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
22.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	379	724
1	1736	658
2	5002	658

prune114.0ms

Filtered

68 candidates to 90 candidates (-32.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

4.0ms	(* e (cos v))
5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
6.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* e (cos v))
17.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
18.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	518	1298
1	2327	1224
2	5002	1224

prune158.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	125	9	134

Merged error: 0b

Counts

134 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
0.3b	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log` `add-cbrt-cube`
20×	`times-frac`
19×	`associate-r`
15×	`associate-l`
13×	`pow1`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/r` `-commutative` `associate-/l`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `clear-num`

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
9.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
10.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
37.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
31.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify109.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	753	1239
1	4117	1091
2	5002	1091

prune125.0ms

Filtered

89 candidates to 122 candidates (-37.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	122	9	131

Merged error: 0b

Counts

131 → 9

regimes121.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 75.012213%

Space saved by search: 75.012213%

Guaranteed chance to sample good point: 99.804688%

Results

682.0ms	1486×	body	1280	valid
352.0ms	1205×	body	640	valid
282.0ms	4344×	body	80	valid
155.0ms	8000×	pre	80	true
122.0ms	624×	body	320	valid
50.0ms	341×	body	160	valid

Details

sample351.0ms

simplify386.0ms

prune5.0ms

localize12.0ms

rewrite19.0ms

series44.0ms

simplify42.0ms

prune102.0ms

localize9.0ms

rewrite18.0ms

series41.0ms

simplify52.0ms

prune114.0ms

localize10.0ms

rewrite19.0ms

series42.0ms

simplify64.0ms

prune158.0ms

localize12.0ms

rewrite30.0ms

series88.0ms

simplify109.0ms

prune125.0ms

regimes121.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

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