Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
16.0ms	277×	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

localize16.0ms

Local error

Found 4 expressions with local error:

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

10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
3.0ms	(/ (acos (/ (neg g) h)) 3.0)
11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)

series340.0ms

Counts

4 → 10

Calls

4 calls:

229.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
11.0ms	(/ (acos (/ (neg g) h)) 3.0)
100.0ms	(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

prune191.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

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)))

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:

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))
11.0ms	(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)))

simplify100.0ms

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

prune241.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

6.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) 3))
11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
3.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) 3)
5.0ms	(/ (* 2.0 PI) 3.0)

series354.0ms

Counts

4 → 10

Calls

4 calls:

104.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) 3))
99.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
151.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) 3)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	267	891
1	989	827
2	5001	821

prune181.0ms

Filtered

85 candidates to 51 candidates (60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `associate-/r*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `cos-mult`

Counts

4 → 73

Calls

4 calls:

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

series217.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)
217.0ms	(cbrt (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))))

simplify138.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	185	594
1	679	512
2	3863	510
3	5003	510

prune240.0ms

Filtered

79 candidates to 58 candidates (73.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	79	3	82

Merged error: 0b

Counts

82 → 3

regimes182.0ms

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	31	31
1	31	31

end0.0ms

sample1.3s

Algorithm

intervals

Results

582.0ms	8000×	body	80	valid
470.0ms	8007×	body	80	nan

Details

sample48.0ms

simplify8.0ms

prune3.0ms

localize16.0ms

rewrite31.0ms

series340.0ms

simplify110.0ms

prune191.0ms

localize25.0ms

rewrite38.0ms

series0.0ms

simplify100.0ms

prune241.0ms

localize16.0ms

rewrite27.0ms

series354.0ms

simplify40.0ms

prune181.0ms

localize23.0ms

rewrite19.0ms

series217.0ms

simplify138.0ms

prune240.0ms

regimes182.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling