Details

sample44.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
12.0ms	221×	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

localize12.0ms

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)

rewrite35.0ms

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)
13.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)

series147.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (neg g) h)) 3.0)
33.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
103.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify109.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4381	614
3	5002	614

prune197.0ms

Filtered

86 candidates to 66 candidates (76.7%)

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

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)))

rewrite38.0ms

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))
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)))

simplify99.0ms

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

prune247.0ms

Filtered

71 candidates to 56 candidates (78.9%)

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)

rewrite53.0ms

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:

21.0ms	(+ (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)))
5.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

series144.0ms

Counts

4 → 8

Calls

4 calls:

37.0ms	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
107.0ms	(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)

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (44.0ms)

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

prune208.0ms

Filtered

90 candidates to 60 candidates (66.7%)

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

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (pow (cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3))
1.0b	(pow (cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3)
1.0b	(/ (* 2.0 PI) 3.0)
1.6b	(pow (/ (* 2.0 PI) 3.0) 3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
13×	`unpow-prod-down` `cube-prod`
12×	`cbrt-prod`
9×	`times-frac`
6×	`pow1` `pow-unpow`
4×	`cbrt-undiv` `div-exp` `pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`cube-mult` `unpow3` `associate-/r*` `div-inv` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `prod-exp` `cbrt-unprod`
1×	`cube-div` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate-/l*`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (pow (cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3))
3.0ms	(pow (cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3)
5.0ms	(/ (* 2.0 PI) 3.0)
6.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

series266.0ms

Counts

4 → 8

Calls

4 calls:

105.0ms	(cbrt (pow (cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3))
161.0ms	(pow (cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))) 3)
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

simplify56.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	339	1027
1	1626	941
2	5002	931

prune236.0ms

Filtered

109 candidates to 61 candidates (56.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	109	5	114

Merged error: 0.0b

Counts

114 → 5

regimes316.0ms

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

sample1.3s

Algorithm

intervals

Results

563.0ms	8000×	body	80	valid
454.0ms	7868×	body	80	nan

Details

sample44.0ms

simplify8.0ms

prune3.0ms

localize12.0ms

rewrite35.0ms

series147.0ms

simplify109.0ms

prune197.0ms

localize27.0ms

rewrite38.0ms

series0.0ms

simplify99.0ms

prune247.0ms

localize16.0ms

rewrite53.0ms

series144.0ms

simplify56.0ms

prune208.0ms

localize18.0ms

rewrite19.0ms

series266.0ms

simplify56.0ms

prune236.0ms

regimes316.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling