Details

analyze168.0ms

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
1.0ms	12×	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:

0.9b	(/ (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)

series28.0ms

Counts

4 → 10

Calls

4 calls:

7.0ms	(/ (acos (/ (neg g) h)) 3.0)
5.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
16.0ms	(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

prune141.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

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:

5.0ms	(/ (* 2.0 PI) 3.0)
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms	(+ (/ (* 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)))

simplify94.0ms

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

prune188.0ms

Filtered

56 candidates to 71 candidates (-26.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`times-frac`
16×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
5×	`distribute-rgt-out`
4×	`pow1` `cos-sum` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `acos-asin` `cos-diff` `sub-neg` `distribute-lft1-in` `flip3-+` `div-sub` `frac-add` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r-`

Counts

4 → 79

Calls

4 calls:

20.0ms	(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
3.0ms	(/ PI 3.0)
4.0ms	(/ (* 2.0 PI) 3.0)

series14.0ms

Counts

4 → 6

Calls

4 calls:

14.0ms	(cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(/ PI 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify108.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	322	516
1	1082	474
2	4433	470
3	5001	470

prune130.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
34×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-rgt-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r` `div-inv` `associate-/l`
4×	`pow1`
2×	`cbrt-undiv` `+-commutative` `frac-2neg` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

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

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	202	512
1	586	486
2	1901	484
3	5001	484

prune273.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

regimes347.0ms

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

analyze170.0ms

Algorithm: search

sample788.0ms

Algorithm

intervals

Results

601.0ms	8000×	body	80	valid
34.0ms	499×	body	80	nan

Details

analyze168.0ms

sample32.0ms

simplify6.0ms

prune3.0ms

localize13.0ms

rewrite29.0ms

series28.0ms

simplify104.0ms

prune141.0ms

localize24.0ms

rewrite37.0ms

series0.0ms

simplify94.0ms

prune188.0ms

localize14.0ms

rewrite39.0ms

series14.0ms

simplify108.0ms

prune130.0ms

localize28.0ms

rewrite28.0ms

series0.0ms

simplify57.0ms

prune273.0ms

regimes347.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze170.0ms

sample788.0ms

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