Details

sample76.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
16.0ms	263×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (100.0%)

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

localize12.0ms

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)

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	(+ (/ (* 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)

series25.0ms

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))
16.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify110.0ms

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

prune126.0ms

Filtered

86 candidates to 66 candidates (23.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

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)))

rewrite38.0ms

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)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
9.0ms	(+ (/ (* 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)))

simplify97.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (23.0ms)

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

prune171.0ms

Filtered

71 candidates to 56 candidates (21.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize13.0ms

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)

rewrite40.0ms

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:

21.0ms	(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)

simplify112.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (27.0ms)

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

prune122.0ms

Filtered

85 candidates to 65 candidates (23.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0))) 3)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(/ PI 3.0)
1.0b	(/ (* 2.0 PI) 3.0)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
5×	`pow1` `distribute-rgt-out`
4×	`div-inv` `associate-/l*`
3×	`cbrt-undiv` `unpow-prod-down` `pow-unpow` `cube-prod` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `distribute-lft1-in` `flip3-+` `unpow3` `frac-add` `pow-exp` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

4.0ms	(pow (cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0))) 3)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
3.0ms	(/ PI 3.0)
5.0ms	(/ (* 2.0 PI) 3.0)

series22.0ms

Counts

4 → 6

Calls

4 calls:

22.0ms	(pow (cos (- (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (/ (acos (/ g h)) 3.0))) 3)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(/ PI 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	343	655
1	1422	577
2	5001	569

prune148.0ms

Filtered

96 candidates to 68 candidates (29.2%)

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

regimes87.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

590.0ms	8000×	body	80	valid
502.0ms	7992×	body	80	nan

Details

sample76.0ms

simplify9.0ms

prune3.0ms

localize12.0ms

rewrite30.0ms

series25.0ms

simplify110.0ms

prune126.0ms

localize24.0ms

rewrite38.0ms

series0.0ms

simplify97.0ms

prune171.0ms

localize13.0ms

rewrite40.0ms

series14.0ms

simplify112.0ms

prune122.0ms

localize16.0ms

rewrite26.0ms

series22.0ms

simplify43.0ms

prune148.0ms

regimes87.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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