Details

sample47.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
13.0ms	222×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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	(/ (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)

rewrite32.0ms

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

simplify107.0ms

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

prune123.0ms

Filtered

86 candidates to 66 candidates (23.3%)

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

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)))

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)
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
12.0ms	(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

prune166.0ms

Filtered

71 candidates to 56 candidates (21.1%)

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	(+ (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)

rewrite49.0ms

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))
20.0ms	(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)

series20.0ms

Counts

4 → 8

Calls

4 calls:

6.0ms	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
14.0ms	(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 (44.0ms)

Iter	Nodes	Cost
0	384	666
1	1738	577
2	5001	573

prune135.0ms

Filtered

90 candidates to 60 candidates (33.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Merged error: 0b

Counts

94 → 5

localize26.0ms

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)

simplify48.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (36.0ms)

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

prune280.0ms

Filtered

118 candidates to 70 candidates (40.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	118	5	123

Merged error: 0b

Counts

123 → 5

regimes564.0ms

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

574.0ms	8000×	body	80	valid
486.0ms	8044×	body	80	nan

Details

sample47.0ms

simplify7.0ms

prune3.0ms

localize13.0ms

rewrite32.0ms

series23.0ms

simplify107.0ms

prune123.0ms

localize23.0ms

rewrite37.0ms

series0.0ms

simplify98.0ms

prune166.0ms

localize15.0ms

rewrite49.0ms

series20.0ms

simplify52.0ms

prune135.0ms

localize26.0ms

rewrite22.0ms

series0.0ms

simplify48.0ms

prune280.0ms

regimes564.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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