Details

sample306.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 48.257446%

Guaranteed chance to sample good point: 95.122383%

Results

18.0ms	256×	body	80	valid
0.0ms	6×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

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: 1.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (neg g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num`
1×	`+-commutative` `cos-sum` `distribute-rgt-out` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
10.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)

series26.0ms

Counts

4 → 10

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
5.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
18.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify104.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4381	614
3	5002	614

prune121.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	2	87

Merged error: 0.0b

Counts

87 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `sin-sum` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 67

Calls

4 calls:

4.0ms	(/ (* 2.0 PI) 3.0)
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	234	454
1	822	413
2	3823	405
3	5002	405

prune166.0ms

Filtered

56 candidates to 71 candidates (-26.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	71	2	73

Merged error: 0.0b

Counts

73 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(acos (/ (neg g) h))
0.0b	(+ (* 2.0 PI) (acos (/ (neg g) h)))
1.0b	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h))))
1.0b	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-exp-log` `-un-lft-identity` `associate-l*`
12×	`add-cube-cbrt`
11×	`times-frac`
9×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`prod-exp`
3×	`flip3-+` `associate-r` `flip-+` `unswap-sqr`
2×	`acos-neg` `distribute-rgt-in` `acos-asin` `frac-times` `associate-+r-` `cos-sum` `distribute-lft-in` `associate-*r/` `distribute-frac-neg` `div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(acos (/ (neg g) h))
4.0ms	(+ (* 2.0 PI) (acos (/ (neg g) h)))
8.0ms	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h))))
3.0ms	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h)))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (/ (neg g) h))
4.0ms	(+ (* 2.0 PI) (acos (/ (neg g) h)))
5.0ms	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h))))
15.0ms	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	397	763
1	1873	680
2	5001	660

prune104.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0.0b

Counts

86 → 2

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 48.257446%

Guaranteed chance to sample good point: 95.122383%

Results

794.0ms	8000×	body	80	valid
23.0ms	314×	body	80	nan

Details

sample306.0ms

simplify6.0ms

prune3.0ms

localize13.0ms

rewrite29.0ms

series26.0ms

simplify104.0ms

prune121.0ms

localize24.0ms

rewrite37.0ms

series0.0ms

simplify95.0ms

prune166.0ms

localize12.0ms

rewrite18.0ms

series28.0ms

simplify43.0ms

prune104.0ms

regimes163.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling