Details

sample105.0ms

Algorithm

intervals

Results

51.0ms	131×	body	1280	valid
13.0ms	57×	body	640	valid
10.0ms	256×	pre	80	true
7.0ms	19×	body	320	valid
2.0ms	45×	body	80	valid
0.0ms	4×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	33	5
3	39	5
4	50	5
5	70	5
6	99	5
7	124	5
8	166	5
9	259	5
10	260	5
11	260	5

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: 15.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
3.6b	(tan (+ y z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

5.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
4.0ms	(tan (+ y z))

series284.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ x (- (tan (+ y z)) (tan a)))
112.0ms	(- (tan (+ y z)) (tan a))
55.0ms	(tan (+ y z))

simplify40.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334

prune148.0ms

Filtered

51 candidates to 39 candidates (76.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Merged error: 0.1b

Counts

52 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.1b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-log-exp`
7×	`tan-quot`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `flip3--` `times-frac` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

14.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
13.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
4.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series897.0ms

Counts

4 → 12

Calls

4 calls:

377.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
338.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
91.0ms	(+ (tan y) (tan z))
91.0ms	(* (tan y) (tan z))

simplify79.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	367	860
1	1074	821
2	3057	814
3	5001	814

prune285.0ms

Filtered

79 candidates to 59 candidates (74.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	69	10	79
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
0.1b	(+ (tan y) (tan z))
0.2b	(/ (* (tan y) (sin z)) (cos z))
0.2b	(* (tan y) (sin z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`pow1`
4×	`tan-quot`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*` `sum-log` `distribute-lft-out`
2×	`cbrt-undiv` `+-commutative` `associate-+r+` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-+r-` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `frac-add` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

19.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
5.0ms	(+ (tan y) (tan z))
6.0ms	(/ (* (tan y) (sin z)) (cos z))
5.0ms	(* (tan y) (sin z))

series590.0ms

Counts

4 → 12

Calls

4 calls:

338.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
90.0ms	(+ (tan y) (tan z))
94.0ms	(/ (* (tan y) (sin z)) (cos z))
67.0ms	(* (tan y) (sin z))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	384	767
1	1385	691
2	5001	691

prune320.0ms

Filtered

83 candidates to 59 candidates (71.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (- (tan a)))
0.1b	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
0.1b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-log-exp`
8×	`tan-quot` `add-sqr-sqrt` `sum-log` `distribute-lft-out`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-r` `associate-l` `frac-add`
2×	`distribute-rgt-neg-in` `neg-log` `distribute-neg-frac`
1×	`neg-sub0` `frac-times` `associate-+r-` `associate-+l+` `associate-r/` `unsub-neg` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

17.0ms	(+ (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (- (tan a)))
10.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
4.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series773.0ms

Counts

4 → 12

Calls

4 calls:

330.0ms	(+ (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (- (tan a)))
265.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
88.0ms	(+ (tan y) (tan z))
89.0ms	(* (tan y) (tan z))

simplify42.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	400	937
1	1442	890
2	5001	867

prune251.0ms

Filtered

82 candidates to 59 candidates (72.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

regimes238.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	12
1	21	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3816×	body	1280	valid
459.0ms	2058×	body	640	valid
304.0ms	8000×	pre	80	true
105.0ms	695×	body	320	valid
52.0ms	1165×	body	80	valid
29.0ms	266×	body	160	valid