Details

sample54.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
15.0ms	255×	body	80	nan

simplify7.0ms

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

prune4.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite35.0ms

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)
15.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
4.0ms	(/ (* 2.0 PI) 3.0)

series143.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (neg g) h)) 3.0)
100.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify108.0ms

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

prune310.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

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)))

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:

4.0ms	(/ (* 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))
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)))

simplify98.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (22.0ms)

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

prune344.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

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	(+ (/ (* 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

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
2.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))) 3)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
5.0ms	(/ (* 2.0 PI) 3.0)

series294.0ms

Counts

4 → 10

Calls

4 calls:

106.0ms	(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)
36.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	326	741
1	1225	666
2	5001	662

prune279.0ms

Filtered

80 candidates to 54 candidates (67.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

12.0ms	(cos (cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)) 3)))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
11.0ms	(cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)) 3))
5.0ms	(/ (* 2.0 PI) 3.0)

series170.0ms

Counts

4 → 10

Calls

4 calls:

102.0ms	(cos (cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)) 3)))
35.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
32.0ms	(cbrt (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)) 3))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	341	760
1	1391	727
2	5002	727

prune452.0ms

Filtered

82 candidates to 54 candidates (65.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

regimes744.0ms

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

sample1.5s

Algorithm

intervals

Results

564.0ms	8000×	body	80	valid
471.0ms	8072×	body	80	nan

Details

sample54.0ms

simplify7.0ms

prune4.0ms

localize13.0ms

rewrite35.0ms

series143.0ms

simplify108.0ms

prune310.0ms

localize27.0ms

rewrite37.0ms

series0.0ms

simplify98.0ms

prune344.0ms

localize15.0ms

rewrite29.0ms

series294.0ms

simplify41.0ms

prune279.0ms

localize21.0ms

rewrite39.0ms

series170.0ms

simplify41.0ms

prune452.0ms

regimes744.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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