Details

analyze162.0ms

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
1.0ms	23×	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

prune6.0ms

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:

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))
11.0ms	(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)
5.0ms	(+ (/ (* 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)

simplify102.0ms

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

prune128.0ms

Filtered

66 candidates to 86 candidates (-30.3%)

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

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)))

rewrite59.0ms

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:

8.0ms	(/ (* 2.0 PI) 3.0)
17.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
17.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
15.0ms	(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)))

simplify105.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

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

prune174.0ms

Filtered

56 candidates to 71 candidates (-26.8%)

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

rewrite22.0ms

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:

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

series53.0ms

Counts

4 → 10

Calls

4 calls:

14.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
25.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) 3)
14.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) 3))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (28.0ms)

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

prune126.0ms

Filtered

51 candidates to 85 candidates (-66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

89 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

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

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)))))
5.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(/ (* 2.0 PI) 3.0)

series39.0ms

Counts

4 → 6

Calls

4 calls:

39.0ms	(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)))))
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify141.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (19.0ms)

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

prune188.0ms

Filtered

58 candidates to 79 candidates (-36.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	78	5	83

Merged error: 0b

Counts

83 → 5

regimes393.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	31
1	26	31

end0.0ms

analyze161.0ms

Algorithm: search

sample766.0ms

Algorithm

intervals

Results

580.0ms	8000×	body	80	valid
35.0ms	583×	body	80	nan

Details

analyze162.0ms

sample28.0ms

simplify6.0ms

prune6.0ms

localize13.0ms

rewrite30.0ms

series23.0ms

simplify102.0ms

prune128.0ms

localize24.0ms

rewrite59.0ms

series0.0ms

simplify105.0ms

prune174.0ms

localize15.0ms

rewrite22.0ms

series53.0ms

simplify38.0ms

prune126.0ms

localize20.0ms

rewrite19.0ms

series39.0ms

simplify141.0ms

prune188.0ms

regimes393.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze161.0ms

sample766.0ms

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