Details

sample322.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 48.307964%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

18.0ms	256×	body	80	valid
0.0ms	7×	body	80	nan

simplify7.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite30.0ms

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

series27.0ms

Counts

4 → 10

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
15.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify105.0ms

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

prune137.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize27.0ms

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)))

rewrite36.0ms

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:

5.0ms	(/ (* 2.0 PI) 3.0)
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(+ (/ (* 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 (21.0ms)

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

prune179.0ms

Filtered

56 candidates to 71 candidates (-26.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (acos (/ (neg g) h)) (* 2.0 PI))
0.0b	(/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0))
0.9b	(* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`associate-+l-` `associate-/l/`
1×	`acos-neg` `+-commutative` `distribute-rgt-in` `acos-asin` `frac-2neg` `distribute-lft-in` `times-frac` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

3.0ms	(+ (acos (/ (neg g) h)) (* 2.0 PI))
7.0ms	(/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0))
5.0ms	(* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI)))
2.0ms	(cos (/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (acos (/ (neg g) h)) (* 2.0 PI))
6.0ms	(/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0))
6.0ms	(* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI)))
14.0ms	(cos (/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	326	770
1	1674	615
2	5001	604

prune107.0ms

Filtered

54 candidates to 77 candidates (-42.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`associate-+l-`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`div-sub`
3×	`pow1` `acos-neg` `acos-asin` `mul-1-neg` `associate-/r` `associate-/l`
2×	`cos-diff` `flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 53

Calls

3 calls:

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

series26.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (+ (acos (* -1 (/ g h))) (* 2.0 PI)) 3.0)
4.0ms	(+ (acos (* -1 (/ g h))) (* 2.0 PI))
16.0ms	(cos (/ (+ (acos (* -1 (/ g h))) (* 2.0 PI)) 3.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	227	616
1	621	564
2	1687	562
3	5001	560

prune104.0ms

Filtered

48 candidates to 62 candidates (-29.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

regimes329.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 48.307964%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

612.0ms	8000×	body	80	valid
18.0ms	274×	body	80	nan

Details

sample322.0ms

simplify7.0ms

prune3.0ms

localize12.0ms

rewrite30.0ms

series27.0ms

simplify105.0ms

prune137.0ms

localize27.0ms

rewrite36.0ms

series0.0ms

simplify95.0ms

prune179.0ms

localize15.0ms

rewrite20.0ms

series30.0ms

simplify49.0ms

prune107.0ms

localize11.0ms

rewrite14.0ms

series26.0ms

simplify53.0ms

prune104.0ms

regimes329.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling