Details

analyze17.2s

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

sample122.0ms

Algorithm

intervals

Results

64.0ms	121×	body	1280	valid
18.0ms	256×	pre	80	true
15.0ms	62×	body	640	valid
5.0ms	27×	body	320	valid
2.0ms	33×	body	80	valid
2.0ms	13×	body	160	valid

simplify407.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	185	9
1	185	9

prune6.0ms

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: 11.2b

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))
3.5b	(tan (+ y z))

rewrite30.0ms

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)))
16.0ms	(- (tan (+ y z)) (tan a))
6.0ms	(tan (+ y z))

series108.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (- (tan (+ y z)) (tan a)))
35.0ms	(- (tan (+ y z)) (tan a))
27.0ms	(tan (+ y z))

simplify68.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4916	561
1	4916	561

prune103.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	8	50

Merged error: 0.1b

Counts

50 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(+ 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))

rewrite36.0ms

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` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `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 → 65

Calls

4 calls:

4.0ms	(+ (tan y) (tan z))
13.0ms	(+ 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))

series306.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (tan y) (tan z))
133.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
25.0ms	(* (tan y) (tan z))
126.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

simplify29.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4951	1271
1	4951	1271

prune140.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a)))
0.2b	(* (sin y) (sin z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
0.3b	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

19.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a)))
5.0ms	(* (sin y) (sin z))
21.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
7.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a)))
10.0ms	(* (sin y) (sin z))
126.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
23.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4993	1656
1	4993	1656

prune116.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

23.0ms	(+ x (- (/ (+ (/ (sin z) (cos z)) (/ (sin y) (cos y))) (- 1 (* (tan y) (tan z)))) (tan a)))
4.0ms	(/ (sin y) (cos y))
5.0ms	(* (tan y) (tan z))
25.0ms	(- (/ (+ (/ (sin z) (cos z)) (/ (sin y) (cos y))) (- 1 (* (tan y) (tan z)))) (tan a))

series294.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ x (- (/ (+ (/ (sin z) (cos z)) (/ (sin y) (cos y))) (- 1 (* (tan y) (tan z)))) (tan a)))
6.0ms	(/ (sin y) (cos y))
23.0ms	(* (tan y) (tan z))
130.0ms	(- (/ (+ (/ (sin z) (cos z)) (/ (sin y) (cos y))) (- 1 (* (tan y) (tan z)))) (tan a))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5024	1632

prune95.0ms

Filtered

71 candidates to 92 candidates (-29.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

regimes750.0ms

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	65	24
1	65	24

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.7s	3914×	body	1280	valid
541.0ms	8000×	pre	80	true
490.0ms	1979×	body	640	valid
118.0ms	686×	body	320	valid
60.0ms	1137×	body	80	valid
34.0ms	284×	body	160	valid

Details

analyze17.2s

sample122.0ms

simplify407.0ms

prune6.0ms

localize13.0ms

rewrite30.0ms

series108.0ms

simplify68.0ms

prune103.0ms

localize16.0ms

rewrite36.0ms

series306.0ms

simplify29.0ms

prune140.0ms

localize25.0ms

rewrite54.0ms

series290.0ms

simplify37.0ms

prune116.0ms

localize25.0ms

rewrite59.0ms

series294.0ms

simplify45.0ms

prune95.0ms

regimes750.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.3s

Profiling