Details

sample51.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
14.0ms	235×	body	80	nan

simplify9.0ms

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

localize13.0ms

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

series153.0ms

Counts

4 → 10

Calls

4 calls:

38.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
11.0ms	(/ (acos (/ (neg g) h)) 3.0)
104.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify111.0ms

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

prune211.0ms

Filtered

86 candidates to 66 candidates (76.7%)

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

localize23.0ms

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)))

rewrite42.0ms

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))
14.0ms	(+ (/ (* 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)))

simplify101.0ms

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

prune256.0ms

Filtered

71 candidates to 56 candidates (78.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0))))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0)))))
1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log`
12×	`sqrt-prod`
11×	`add-cbrt-cube`
9×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`div-exp` `associate-/l*`
3×	`cbrt-undiv` `pow-flip` `frac-add`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`+-commutative` `frac-times` `rec-exp` `cos-sum` `sqrt-pow1` `flip3-+` `pow1/2` `1-exp` `associate-r/` `associate-l/` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 88

Calls

4 calls:

6.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0))))
7.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0)))))
4.0ms	(/ 1 (sqrt 3.0))
5.0ms	(/ (* 2.0 PI) 3.0)

series350.0ms

Counts

4 → 8

Calls

4 calls:

112.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0))))
237.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0)))))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	363	744
1	1736	655
2	5001	630

prune199.0ms

Filtered

96 candidates to 55 candidates (57.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0)))))
1.0b	(pow (cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0))))) 3)
1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
14×	`add-exp-log`
12×	`sqrt-prod` `add-cbrt-cube`
9×	`associate-/r*`
7×	`pow1`
4×	`div-exp` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `unpow-prod-down` `pow-unpow` `pow-flip` `cube-prod`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`cube-mult` `pow-to-exp` `rec-exp` `cos-sum` `pow-pow` `sqrt-pow1` `pow1/2` `1-exp` `unpow3` `pow-exp` `prod-exp` `cbrt-unprod` `inv-pow` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

7.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0)))))
3.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0))))) 3)
5.0ms	(/ 1 (sqrt 3.0))
5.0ms	(/ (* 2.0 PI) 3.0)

series605.0ms

Counts

4 → 8

Calls

4 calls:

244.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0)))))
361.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (neg g) h)) (sqrt 3.0))))) 3)
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	322	924
1	1575	780
2	5001	780

prune237.0ms

Filtered

105 candidates to 57 candidates (54.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

regimes196.0ms

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

sample1.4s

Algorithm

intervals

Results

599.0ms	8000×	body	80	valid
473.0ms	7716×	body	80	nan

Details

sample51.0ms

simplify9.0ms

prune3.0ms

localize13.0ms

rewrite31.0ms

series153.0ms

simplify111.0ms

prune211.0ms

localize23.0ms

rewrite42.0ms

series0.0ms

simplify101.0ms

prune256.0ms

localize16.0ms

rewrite24.0ms

series350.0ms

simplify53.0ms

prune199.0ms

localize19.0ms

rewrite22.0ms

series605.0ms

simplify46.0ms

prune237.0ms

regimes196.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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