Details

sample49.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
16.0ms	255×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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:

0.9b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite38.0ms

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 (/ (- g) h)) 3.0)
16.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
12.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
5.0ms	(/ (* 2.0 PI) 3.0)

series149.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(/ (acos (/ (- g) h)) 3.0)
32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
105.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify109.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4395	614
3	5002	614

prune208.0ms

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

localize29.0ms

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)))

rewrite40.0ms

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))
11.0ms	(+ (/ (* 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	3837	405
3	5002	405

prune260.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
0.0b	(+ (acos (/ (- g) h)) (* 2.0 PI))
0.9b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`associate-+l-` `associate-/l/`
1×	`acos-neg` `+-commutative` `distribute-rgt-in` `acos-asin` `frac-2neg` `distribute-lft-in` `times-frac` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

8.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
3.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
5.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
3.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))
23.0ms	(+ (acos (/ (- g) h)) (* 2.0 PI))
42.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
110.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	326	770
1	1674	615
2	5001	604

prune164.0ms

Filtered

77 candidates to 54 candidates (70.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
1.0b	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))
1.0b	(cbrt (pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3))
1.0b	(pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`cube-mult` `unpow3` `associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

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

series424.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI)))
114.0ms	(cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0)))
109.0ms	(cbrt (pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3))
165.0ms	(pow (cos (/ (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0))) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	269	1025
1	1170	944
2	5002	938

prune186.0ms

Filtered

85 candidates to 50 candidates (58.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes169.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

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

582.0ms	8000×	body	80	valid
490.0ms	7893×	body	80	nan