Details

sample338.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 48.257446%

Guaranteed chance to sample good point: 95.122383%

Results

18.0ms	256×	body	80	valid
1.0ms	15×	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

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (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)

rewrite29.0ms

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)
9.0ms	(+ (/ (* 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)
5.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
15.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify106.0ms

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

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)))

rewrite35.0ms

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)))

simplify96.0ms

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

prune170.0ms

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

localize16.0ms

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))
19.0ms	(cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

series23.0ms

Counts

4 → 8

Calls

4 calls:

6.0ms	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
17.0ms	(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)

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (43.0ms)

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

prune142.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

4.0ms	(/ (* 2.0 PI) 3.0)
4.0ms	(/ (* 2.0 PI) 3.0)
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	(/ (* 2.0 PI) 3.0)
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	261	558
1	1305	512
2	5002	504

prune286.0ms

Filtered

70 candidates to 118 candidates (-68.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

regimes649.0ms

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

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 48.257446%

Guaranteed chance to sample good point: 95.122383%

Results

582.0ms	8000×	body	80	valid
19.0ms	302×	body	80	nan

Details

sample338.0ms

simplify6.0ms

prune3.0ms

localize18.0ms

rewrite29.0ms

series23.0ms

simplify106.0ms

prune128.0ms

localize25.0ms

rewrite35.0ms

series0.0ms

simplify96.0ms

prune170.0ms

localize16.0ms

rewrite48.0ms

series23.0ms

simplify52.0ms

prune142.0ms

localize31.0ms

rewrite22.0ms

series0.0ms

simplify45.0ms

prune286.0ms

regimes649.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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