Details

analyze16.7s

Algorithm

Search

True	Other	False	Iter
0%	0.2%	99.8%	0
0%	0.2%	99.8%	1
0%	0.2%	99.8%	2
0%	0.2%	99.8%	3
0%	0.2%	99.8%	4
0%	0.2%	99.8%	5
0%	0.2%	99.8%	6
0%	0.2%	99.8%	7
0%	0.2%	99.8%	8
0%	0.2%	99.8%	9
0%	0.2%	99.8%	10
0%	0.2%	99.8%	11
0%	0.2%	99.8%	12
0%	0.2%	99.8%	13
0%	0.2%	99.8%	14

sample116.0ms

Algorithm

intervals

Results

56.0ms	106×	body	1280	valid
18.0ms	256×	pre	80	true
16.0ms	66×	body	640	valid
3.0ms	20×	body	320	valid
3.0ms	50×	body	80	valid
2.0ms	14×	body	160	valid

simplify423.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	185	9
1	185	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: 9.7b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
2.0b	(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` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 40

Calls

3 calls:

5.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
6.0ms	(tan (+ y z))

series106.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ x (- (tan (+ y z)) (tan a)))
40.0ms	(- (tan (+ y z)) (tan a))
25.0ms	(tan (+ y z))

simplify67.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4916	561
1	4916	561

prune104.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	40	9	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	9	50

Merged error: 0.1b

Counts

50 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

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

series326.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
127.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
22.0ms	(* (tan y) (tan z))
119.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

simplify51.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5084	1882

prune153.0ms

Filtered

75 candidates to 100 candidates (-33.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`tan-quot`
18×	`pow1`
16×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`frac-times` `associate-r/` `associate-l*`
7×	`associate-r`
6×	`associate-*l/` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
3×	`swap-sqr` `*-commutative` `unswap-sqr`
2×	`flip3-+` `associate--l+` `flip-+`
1×	`pow2` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 93

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
12.0ms	(- (* (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (* (tan y) (* (tan z) (tan z)))))) (+ 1 (* (tan y) (tan z)))) (tan a))
8.0ms	(* (tan y) (* (tan z) (tan z)))
5.0ms	(* (tan z) (tan z))

series468.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (tan y) (tan z))
410.0ms	(- (* (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (* (tan y) (* (tan z) (tan z)))))) (+ 1 (* (tan y) (tan z)))) (tan a))
27.0ms	(* (tan y) (* (tan z) (tan z)))
9.0ms	(* (tan z) (tan z))

simplify30.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4977	1678
1	4977	1678

prune146.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(* (+ (tan y) (tan z)) (cos a))
5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
18.0ms	(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (* (tan y) (tan z))) (cos a)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (tan y) (tan z)) (cos a))
22.0ms	(* (tan y) (tan z))
22.0ms	(* (tan y) (tan z))
150.0ms	(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (* (tan y) (tan z))) (cos a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5436	1771

prune116.0ms

Filtered

82 candidates to 107 candidates (-30.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

regimes757.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	78	32
1	78	32

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	3825×	body	1280	valid
533.0ms	8000×	pre	80	true
495.0ms	2022×	body	640	valid
117.0ms	708×	body	320	valid
61.0ms	1150×	body	80	valid
36.0ms	295×	body	160	valid

Details

analyze16.7s

sample116.0ms

simplify423.0ms

prune5.0ms

localize12.0ms

rewrite20.0ms

series106.0ms

simplify67.0ms

prune104.0ms

localize15.0ms

rewrite43.0ms

series326.0ms

simplify51.0ms

prune153.0ms

localize24.0ms

rewrite33.0ms

series468.0ms

simplify30.0ms

prune146.0ms

localize22.0ms

rewrite39.0ms

series230.0ms

simplify44.0ms

prune116.0ms

regimes757.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling