Details

sample51.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
15.0ms	241×	body	80	nan

simplify8.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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)

rewrite31.0ms

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	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
5.0ms	(/ (* 2.0 PI) 3.0)

series146.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(/ (acos (/ (neg g) h)) 3.0)
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
104.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (9.0ms)

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

prune199.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize25.0ms

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)))

rewrite40.0ms

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)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
14.0ms	(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)))

simplify103.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (24.0ms)

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

prune249.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

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

series205.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0))
21.0ms	(+ (acos (/ (neg g) h)) (* 2.0 PI))
41.0ms	(* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI)))
106.0ms	(cos (/ (* 3.0 (+ (acos (/ (neg g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (45.0ms)

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

prune154.0ms

Filtered

77 candidates to 54 candidates (70.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize12.0ms

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))

rewrite15.0ms

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:

6.0ms	(/ (+ (acos (* -1 (/ g h))) (* 2.0 PI)) 3.0)
3.0ms	(+ (acos (* -1 (/ g h))) (* 2.0 PI))
5.0ms	(cos (/ (+ (acos (* -1 (/ g h))) (* 2.0 PI)) 3.0))

series168.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (+ (acos (* -1 (/ g h))) (* 2.0 PI)) 3.0)
26.0ms	(+ (acos (* -1 (/ g h))) (* 2.0 PI))
105.0ms	(cos (/ (+ (acos (* -1 (/ g h))) (* 2.0 PI)) 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (49.0ms)

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

prune135.0ms

Filtered

62 candidates to 48 candidates (77.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	61	4	65

Merged error: 0.0b

Counts

65 → 4

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

576.0ms	8000×	body	80	valid
498.0ms	8093×	body	80	nan

Details

sample51.0ms

simplify8.0ms

prune3.0ms

localize13.0ms

rewrite31.0ms

series146.0ms

simplify112.0ms

prune199.0ms

localize25.0ms

rewrite40.0ms

series0.0ms

simplify103.0ms

prune249.0ms

localize13.0ms

rewrite20.0ms

series205.0ms

simplify58.0ms

prune154.0ms

localize12.0ms

rewrite15.0ms

series168.0ms

simplify56.0ms

prune135.0ms

regimes135.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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