Details

sample117.0ms

Algorithm

intervals

Results

57.0ms	128×	body	1280	valid
17.0ms	256×	pre	80	true
17.0ms	70×	body	640	valid
4.0ms	24×	body	320	valid
1.0ms	30×	body	80	valid
0.0ms	4×	body	160	valid

simplify19.0ms

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

prune2.0ms

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: 12.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))
2.4b	(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:

6.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(+ x (- (tan (+ y z)) (tan a)))
4.0ms	(tan (+ y z))

series272.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(- (tan (+ y z)) (tan a))
113.0ms	(+ x (- (tan (+ y z)) (tan a)))
51.0ms	(tan (+ y z))

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

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

prune134.0ms

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

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)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(+ (tan y) (tan z))
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:

13.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
12.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series881.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
368.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
89.0ms	(+ (tan y) (tan z))
90.0ms	(* (tan y) (tan z))

simplify77.0ms

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

prune245.0ms

Filtered

79 candidates to 60 candidates (75.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	77	9	86

Merged error: 0.0b

Counts

86 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

10.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
14.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
5.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series791.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
337.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
90.0ms	(+ (tan y) (tan z))
90.0ms	(* (tan y) (tan z))

simplify86.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	360	891
1	1144	844
2	3401	826
3	5001	826

prune248.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.6b	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
2.7b	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
12×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
8×	`tan-quot` `difference-of-squares`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
4×	`times-frac` `distribute-lft-out--`
3×	`pow-unpow` `cbrt-div` `associate-r` `associate-l`
2×	`cube-mult` `flip3--` `unpow3` `frac-sub` `flip--` `sqr-pow`
1×	`+-commutative` `frac-times` `pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

5.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
14.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
14.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

series1.2s

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (tan y) (tan z))
93.0ms	(* (tan y) (tan z))
611.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
375.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	466	1525
1	1737	1444
2	5001	1438

prune285.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

regimes488.0ms

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	19	11
1	19	11

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	3898×	body	1280	valid
532.0ms	8000×	pre	80	true
493.0ms	2001×	body	640	valid
116.0ms	678×	body	320	valid
59.0ms	1131×	body	80	valid
35.0ms	292×	body	160	valid

Details

sample117.0ms

simplify19.0ms

prune2.0ms

localize10.0ms

rewrite17.0ms

series272.0ms

simplify38.0ms

prune134.0ms

localize15.0ms

rewrite37.0ms

series881.0ms

simplify77.0ms

prune245.0ms

localize15.0ms

rewrite35.0ms

series791.0ms

simplify86.0ms

prune248.0ms

localize20.0ms

rewrite41.0ms

series1.2s

simplify56.0ms

prune285.0ms

regimes488.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling