Details

sample307.0ms

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

201.0ms	13×	body	160	valid
19.0ms	40×	body	1280	valid
11.0ms	38×	body	640	valid
9.0ms	140×	body	80	valid
5.0ms	25×	body	320	valid
5.0ms	256×	pre	80	true

simplify393.0ms

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: 0.1b

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 (sin v))
0.2b	(* e (cos v))

rewrite18.0ms

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:

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

series46.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (sin v))
15.0ms	(* e (cos v))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune103.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
0.1b	(* e (sin v))
0.2b	(* e (cos v))
6.0b	(log (exp (* e (cos v))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`times-frac` `associate-/r*` `log-pow` `add-log-exp`
4×	`distribute-lft-out`
3×	`log-prod` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `flip3-+` `rem-log-exp` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 77

Calls

4 calls:

7.0ms	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
4.0ms	(* e (sin v))
4.0ms	(* e (cos v))
2.0ms	(log (exp (* e (cos v))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
8.0ms	(* e (sin v))
10.0ms	(* e (cos v))
7.0ms	(log (exp (* e (cos v))))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	312	543
1	1394	463
2	5001	447

prune99.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:

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

series43.0ms

Counts

3 → 9

Calls

3 calls:

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

prune156.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(* e (cos v))
0.2b	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
0.3b	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`add-cube-cbrt` `*-un-lft-identity`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 756

Calls

4 calls:

5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms	(* e (cos v))
25.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
11.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series86.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(* e (cos v))
35.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
28.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify159.0ms

Algorithm

egg-herbie

Counts

768 → 768

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2327	14946
1	5001	14415

prune684.0ms

Filtered

386 candidates to 768 candidates (-99.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	765	3	768
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	768	6	774

Merged error: 0b

Counts

774 → 6

regimes112.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

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

740.0ms	1552×	body	1280	valid
377.0ms	1236×	body	640	valid
293.0ms	4302×	body	80	valid
151.0ms	8000×	pre	80	true
133.0ms	613×	body	320	valid
43.0ms	297×	body	160	valid

Details

sample307.0ms

simplify393.0ms

prune5.0ms

localize12.0ms

rewrite18.0ms

series46.0ms

simplify43.0ms

prune103.0ms

localize13.0ms

rewrite19.0ms

series46.0ms

simplify42.0ms

prune99.0ms

localize10.0ms

rewrite20.0ms

series43.0ms

simplify64.0ms

prune156.0ms

localize13.0ms

rewrite108.0ms

series86.0ms

simplify159.0ms

prune684.0ms

regimes112.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

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