Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
15.0ms	263×	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

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)

rewrite32.0ms

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)
13.0ms	(+ (/ (* 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)

series23.0ms

Counts

4 → 10

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
6.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
14.0ms	(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 (8.0ms)

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

prune125.0ms

Filtered

86 candidates to 66 candidates (23.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

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)))

rewrite34.0ms

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))
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)))

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

prune171.0ms

Filtered

71 candidates to 56 candidates (21.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)
1.6b	(pow (/ (* 2.0 PI) 3.0) 3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`unpow-prod-down` `cube-prod`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `associate-+r-` `div-sub` `div-exp`
3×	`pow-unpow` `pow-exp` `associate-/r*` `div-inv` `rem-cube-cbrt`
2×	`acos-neg` `cube-div` `acos-asin` `cos-diff` `distribute-frac-neg` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `pow-to-exp` `cbrt-div` `cos-sum` `pow-pow` `frac-2neg` `flip3-+` `unpow3` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out` `associate-/l*` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

17.0ms	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
18.0ms	(cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)
7.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

series20.0ms

Counts

4 → 8

Calls

4 calls:

5.0ms	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
14.0ms	(cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

simplify53.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	384	664
1	1738	577
2	5001	573

prune139.0ms

Filtered

90 candidates to 60 candidates (33.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.6b	(cos (cbrt (pow (/ (* 2.0 PI) 3.0) 3)))
1.6b	(pow (/ (* 2.0 PI) 3.0) 3)
1.6b	(pow (/ (* 2.0 PI) 3.0) 3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
14×	`unpow-prod-down` `cube-prod`
6×	`pow1` `cbrt-undiv` `pow-unpow` `div-exp` `pow-exp` `rem-cube-cbrt`
5×	`div-inv`
4×	`add-log-exp`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 100

Calls

4 calls:

4.0ms	(/ (* 2.0 PI) 3.0)
4.0ms	(cos (cbrt (pow (/ (* 2.0 PI) 3.0) 3)))
5.0ms	(pow (/ (* 2.0 PI) 3.0) 3)
5.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(cos (cbrt (pow (/ (* 2.0 PI) 3.0) 3)))
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

simplify43.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	263	526
1	1304	473
2	5001	465

prune226.0ms

Filtered

104 candidates to 61 candidates (41.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	0	1
Picked	1	0	1
Done	1	2	3
Total	106	3	109

Merged error: 0b

Counts

109 → 3

regimes344.0ms

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	32	39
1	32	39

end0.0ms

sample1.5s

Algorithm

intervals

Results

571.0ms	8000×	body	80	valid
477.0ms	7879×	body	80	nan

Details

sample50.0ms

simplify6.0ms

prune3.0ms

localize12.0ms

rewrite32.0ms

series23.0ms

simplify104.0ms

prune125.0ms

localize27.0ms

rewrite34.0ms

series0.0ms

simplify95.0ms

prune171.0ms

localize15.0ms

rewrite48.0ms

series20.0ms

simplify53.0ms

prune139.0ms

localize23.0ms

rewrite23.0ms

series0.0ms

simplify43.0ms

prune226.0ms

regimes344.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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