Details

sample41.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
11.0ms	240×	body	80	nan

simplify8.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

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

11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (acos (/ (- g) h)) 3.0)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
5.0ms	(/ (* 2.0 PI) 3.0)

series152.0ms

Counts

4 → 10

Calls

4 calls:

106.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
11.0ms	(/ (acos (/ (- g) h)) 3.0)
34.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify107.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (8.0ms)

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

prune248.0ms

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)))

rewrite36.0ms

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))
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	3837	405
3	5002	405

prune295.0ms

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

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

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

series291.0ms

Counts

4 → 10

Calls

4 calls:

32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
101.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
158.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	313	917
1	1232	840
2	5001	834

prune209.0ms

Filtered

91 candidates to 55 candidates (60.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize23.0ms

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 (/ (acos (/ (- g) h)) 3.0) 3)
1.6b	(pow (/ (* 2.0 PI) 3.0) 3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
20×	`unpow-prod-down` `cube-prod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `pow-unpow` `associate-/r*` `div-inv`
5×	`pow-exp` `rem-cube-cbrt`
4×	`add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l*` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

5.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(pow (/ (acos (/ (- g) h)) 3.0) 3)
5.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

series26.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(/ (* 2.0 PI) 3.0)
26.0ms	(pow (/ (acos (/ (- g) h)) 3.0) 3)
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

simplify80.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	488	829
1	2408	731
2	5003	721

prune332.0ms

Filtered

130 candidates to 74 candidates (56.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	130	5	135

Merged error: 0.0b

Counts

135 → 5

regimes365.0ms

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

sample1.2s

Algorithm

intervals

Results

480.0ms	8000×	body	80	valid
389.0ms	7996×	body	80	nan