Details

sample433.0ms

Algorithm

intervals

Results

78.0ms	139×	body	1280	valid
17.0ms	256×	pre	80	true
14.0ms	58×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	27×	body	80	valid
1.0ms	11×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 13.8b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
4.7b	(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))

series330.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(+ x (- (tan (+ y z)) (tan a)))
130.0ms	(- (tan (+ y z)) (tan a))
71.0ms	(tan (+ y z))

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

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

prune188.0ms

Filtered

51 candidates to 39 candidates (23.5%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

12.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
7.0ms	(+ (tan y) (tan z))
11.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series975.0ms

Counts

4 → 12

Calls

4 calls:

350.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
104.0ms	(+ (tan y) (tan z))
415.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
106.0ms	(* (tan y) (tan z))

simplify74.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (24.0ms)

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

prune459.0ms

Filtered

79 candidates to 59 candidates (25.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

4.0ms	(+ (tan y) (tan z))
17.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
6.0ms	(/ (* (sin y) (tan z)) (cos y))
5.0ms	(* (sin y) (tan z))

series745.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (tan y) (tan z))
432.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
118.0ms	(/ (* (sin y) (tan z)) (cos y))
89.0ms	(* (sin y) (tan z))

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	383	781
1	1350	706
2	5001	697

prune629.0ms

Filtered

82 candidates to 62 candidates (24.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`times-frac`
16×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
4×	`tan-quot` `associate-r/` `associate-l*` `pow-prod-down`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `associate-/l`
2×	`*-commutative` `div-inv` `difference-of-squares`
1×	`frac-times` `sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-*l/` `clear-num` `un-div-inv` `frac-sub` `flip--` `distribute-lft-out--` `inv-pow` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

3.0ms	(/ 1 (cos y))
11.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (* (sin y) (tan z)) (/ 1 (cos y))))) (tan a))
11.0ms	(* (* (sin y) (tan z)) (/ 1 (cos y)))
5.0ms	(* (sin y) (tan z))

series650.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ 1 (cos y))
431.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (* (sin y) (tan z)) (/ 1 (cos y))))) (tan a))
115.0ms	(* (* (sin y) (tan z)) (/ 1 (cos y)))
91.0ms	(* (sin y) (tan z))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	484	1018
1	2190	886
2	5002	849

prune758.0ms

Filtered

118 candidates to 69 candidates (41.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

regimes1.1s

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	24	14
1	24	14

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.6s	3876×	body	1280	valid
492.0ms	8000×	pre	80	true
460.0ms	1957×	body	640	valid
118.0ms	719×	body	320	valid
56.0ms	1149×	body	80	valid
33.0ms	299×	body	160	valid

Details

sample433.0ms

simplify23.0ms

prune6.0ms

localize13.0ms

rewrite20.0ms

series330.0ms

simplify38.0ms

prune188.0ms

localize15.0ms

rewrite37.0ms

series975.0ms

simplify74.0ms

prune459.0ms

localize21.0ms

rewrite33.0ms

series745.0ms

simplify39.0ms

prune629.0ms

localize22.0ms

rewrite34.0ms

series650.0ms

simplify55.0ms

prune758.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.4s

Profiling