Details

sample321.0ms

Algorithm

intervals

Results

63.0ms	131×	body	1280	valid
19.0ms	256×	pre	80	true
13.0ms	52×	body	640	valid
5.0ms	28×	body	320	valid
2.0ms	36×	body	80	valid
1.0ms	9×	body	160	valid

simplify461.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	9
1	70	9

prune5.0ms

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: 12.9b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
5.1b	(tan (+ y z))

rewrite20.0ms

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))
6.0ms	(tan (+ y z))

series112.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (- (tan (+ y z)) (tan a)))
47.0ms	(- (tan (+ y z)) (tan a))
25.0ms	(tan (+ y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5182	570

prune103.0ms

Filtered

39 candidates to 51 candidates (-30.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	8	52

Merged error: 0.1b

Counts

52 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:

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

series284.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (tan y) (tan z))
125.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
116.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
22.0ms	(* (tan y) (tan z))

simplify40.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5564	1289

prune142.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	77	10	87

Merged error: 0.0b

Counts

87 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

19.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
18.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
5.0ms	(* (tan y) (sin z))
6.0ms	(/ (* (tan y) (sin z)) (cos z))

series278.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
115.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
15.0ms	(* (tan y) (sin z))
23.0ms	(/ (* (tan y) (sin z)) (cos z))

simplify36.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5172	1496

prune133.0ms

Filtered

65 candidates to 86 candidates (-32.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`tan-quot`
4×	`times-frac`
3×	`prod-exp` `sin-cos-mult` `cbrt-unprod` `associate-/l/` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`frac-times` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `associate-l/` `frac-add` `clear-num` `associate-/r*` `associate-/r/` `cos-mult` `frac-sub` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (sin z) (cos y))
18.0ms	(- (/ (/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (* (cos y) (cos z))) (- 1 (* (tan y) (tan z)))) (tan a))
12.0ms	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (* (cos y) (cos z)))
5.0ms	(* (tan y) (tan z))

series179.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (sin z) (cos y))
118.0ms	(- (/ (/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (* (cos y) (cos z))) (- 1 (* (tan y) (tan z)))) (tan a))
31.0ms	(/ (+ (* (sin y) (cos z)) (* (sin z) (cos y))) (* (cos y) (cos z)))
21.0ms	(* (tan y) (tan z))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4976	1602
1	4976	1602

prune93.0ms

Filtered

70 candidates to 93 candidates (-32.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

regimes642.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	30
1	29	30

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	3850×	body	1280	valid
530.0ms	8000×	pre	80	true
493.0ms	2031×	body	640	valid
123.0ms	723×	body	320	valid
55.0ms	1095×	body	80	valid
35.0ms	301×	body	160	valid

Details

sample321.0ms

simplify461.0ms

prune5.0ms

localize13.0ms

rewrite20.0ms

series112.0ms

simplify62.0ms

prune103.0ms

localize16.0ms

rewrite39.0ms

series284.0ms

simplify40.0ms

prune142.0ms

localize21.0ms

rewrite49.0ms

series278.0ms

simplify36.0ms

prune133.0ms

localize29.0ms

rewrite42.0ms

series179.0ms

simplify46.0ms

prune93.0ms

regimes642.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.5s

Profiling