Details

analyze17.4s

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

sample124.0ms

Algorithm

intervals

Results

64.0ms	120×	body	1280	valid
18.0ms	256×	pre	80	true
17.0ms	68×	body	640	valid
5.0ms	28×	body	320	valid
2.0ms	30×	body	80	valid
1.0ms	10×	body	160	valid

simplify406.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	185	9
1	185	9

prune20.0ms

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: 12.1b

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))

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))

series109.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (- (tan (+ y z)) (tan a)))
35.0ms	(- (tan (+ y z)) (tan a))
27.0ms	(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

prune100.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	7	50

Merged error: 0.1b

Counts

50 → 7

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))

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` `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:

5.0ms	(+ (tan y) (tan z))
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))

series302.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (tan y) (tan z))
131.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
123.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
25.0ms	(* (tan y) (tan z))

simplify31.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4951	1271
1	4951	1271

prune133.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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` `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-` `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 → 72

Calls

4 calls:

19.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
6.0ms	(/ (* (tan y) (sin z)) (cos z))
21.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
5.0ms	(* (tan y) (sin z))

series296.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
25.0ms	(/ (* (tan y) (sin z)) (cos z))
124.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
16.0ms	(* (tan y) (sin z))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4938	1475
1	4938	1475

prune120.0ms

Filtered

65 candidates to 84 candidates (-29.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

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

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:

8.0ms	(* (+ (tan y) (tan z)) (cos a))
18.0ms	(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (* (tan y) (tan z))) (cos a)))
5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series235.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (tan y) (tan z)) (cos a))
154.0ms	(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (* (tan y) (tan z))) (cos a)))
22.0ms	(* (tan y) (tan z))
22.0ms	(* (tan y) (tan z))

simplify44.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5436	1771

prune120.0ms

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

regimes689.0ms

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	61	21
1	61	21

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.7s	3806×	body	1280	valid
538.0ms	8000×	pre	80	true
512.0ms	2033×	body	640	valid
121.0ms	709×	body	320	valid
63.0ms	1169×	body	80	valid
33.0ms	283×	body	160	valid

Details

analyze17.4s

sample124.0ms

simplify406.0ms

prune20.0ms

localize13.0ms

rewrite20.0ms

series109.0ms

simplify67.0ms

prune100.0ms

localize16.0ms

rewrite37.0ms

series302.0ms

simplify31.0ms

prune133.0ms

localize22.0ms

rewrite52.0ms

series296.0ms

simplify48.0ms

prune120.0ms

localize26.0ms

rewrite39.0ms

series235.0ms

simplify44.0ms

prune120.0ms

regimes689.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling