Details

analyze17.3s

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

sample126.0ms

Algorithm

intervals

Results

56.0ms	130×	body	1280	valid
18.0ms	256×	pre	80	true
17.0ms	28×	body	320	valid
15.0ms	62×	body	640	valid
2.0ms	29×	body	80	valid
1.0ms	7×	body	160	valid

simplify417.0ms

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: 12.0b

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))
2.9b	(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)))
6.0ms	(- (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))

simplify66.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4916	561
1	4916	561

prune95.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 0.1b

Counts

50 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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

series291.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (tan y) (tan z))
118.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
127.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
25.0ms	(* (tan y) (tan z))

simplify32.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4951	1271
1	4951	1271

prune124.0ms

Filtered

58 candidates to 77 candidates (-32.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Merged error: 0.1b

Counts

83 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(* (tan y) (tan z))
2.3b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

14.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
13.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))
14.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
127.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
24.0ms	(* (tan y) (tan z))
162.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5030	1486

prune139.0ms

Filtered

59 candidates to 81 candidates (-37.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	83	7	90

Merged error: 0.1b

Counts

90 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.3b	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
0.3b	(exp (tan a))
0.4b	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
24×	`exp-prod`
23×	`add-cube-cbrt`
22×	`times-frac`
16×	`associate-r`
11×	`add-cbrt-cube`
8×	`pow1`
7×	`add-exp-log`
6×	`associate-l` `add-log-exp`
4×	`tan-quot`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `div-inv` `rem-exp-log`
1×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `pow-prod-up` `flip--` `pow-div`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* (tan y) (tan z))
16.0ms	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
2.0ms	(exp (tan a))
7.0ms	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (tan y) (tan z))
142.0ms	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
10.0ms	(exp (tan a))
57.0ms	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5613	1489

prune157.0ms

Filtered

80 candidates to 103 candidates (-28.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

regimes547.0ms

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	51	18
1	51	18

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.7s	3876×	body	1280	valid
542.0ms	8000×	pre	80	true
487.0ms	1975×	body	640	valid
125.0ms	727×	body	320	valid
59.0ms	1111×	body	80	valid
36.0ms	311×	body	160	valid

Details

analyze17.3s

sample126.0ms

simplify417.0ms

prune6.0ms

localize13.0ms

rewrite20.0ms

series106.0ms

simplify66.0ms

prune95.0ms

localize17.0ms

rewrite34.0ms

series291.0ms

simplify32.0ms

prune124.0ms

localize20.0ms

rewrite48.0ms

series430.0ms

simplify45.0ms

prune139.0ms

localize24.0ms

rewrite35.0ms

series232.0ms

simplify46.0ms

prune157.0ms

regimes547.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.3s

Profiling