Details

analyze16.6s

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

sample194.0ms

Algorithm

intervals

Results

59.0ms	131×	body	1280	valid
15.0ms	63×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	40×	body	80	valid
0.0ms	3×	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

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: 11.5b

Counts

2 → 1

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
13.3b	(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)))
6.0ms	(- (tan (+ y z)) (tan a))
16.0ms	(tan (+ y z))

series102.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ x (- (tan (+ y z)) (tan a)))
33.0ms	(- (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

prune85.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 0.1b

Counts

50 → 5

localize56.0ms

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

rewrite40.0ms

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:

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

series324.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
126.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
120.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
21.0ms	(* (tan y) (tan z))

simplify51.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5084	1882

prune154.0ms

Filtered

75 candidates to 100 candidates (-33.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.3b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
0.3b	(pow (* (tan y) (tan z)) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
44×	`tan-quot`
23×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `pow-prod-down`
14×	`associate-r/` `associate-l/`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`cube-div` `pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))
12.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
5.0ms	(pow (* (tan y) (tan z)) 3)

series109.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (tan y) (tan z))
24.0ms	(* (tan y) (tan z))
30.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
35.0ms	(pow (* (tan y) (tan z)) 3)

simplify37.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5072	1037

prune168.0ms

Filtered

77 candidates to 128 candidates (-66.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	128	6	134

Merged error: 0.0b

Counts

134 → 6

localize114.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (log (pow (exp (tan y)) (tan z))))) (tan a))
0.2b	(pow (exp (tan y)) (tan z))
0.3b	(exp (tan y))
38.5b	(log (pow (exp (tan y)) (tan z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
7×	`log-prod` `add-log-exp`
6×	`unpow-prod-down` `exp-prod`
5×	`pow1` `add-exp-log`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow-unpow` `rem-log-exp`
2×	`pow-to-exp` `pow-exp` `difference-of-squares` `sqr-pow`
1×	`tan-quot` `sub-neg` `flip3--` `times-frac` `diff-log` `log-pow` `frac-sub` `flip--` `rem-exp-log` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

16.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (log (pow (exp (tan y)) (tan z))))) (tan a))
4.0ms	(pow (exp (tan y)) (tan z))
2.0ms	(exp (tan y))
3.0ms	(log (pow (exp (tan y)) (tan z)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (log (pow (exp (tan y)) (tan z))))) (tan a))
33.0ms	(pow (exp (tan y)) (tan z))
10.0ms	(exp (tan y))
39.0ms	(log (pow (exp (tan y)) (tan z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4913	915
1	4913	915

prune85.0ms

Filtered

56 candidates to 76 candidates (-35.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

regimes373.0ms

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	46	40
1	46	40

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.6s	3846×	body	1280	valid
479.0ms	2031×	body	640	valid
114.0ms	686×	body	320	valid
55.0ms	1156×	body	80	valid
31.0ms	281×	body	160	valid

Details

analyze16.6s

sample194.0ms

simplify406.0ms

prune6.0ms

localize31.0ms

rewrite30.0ms

series102.0ms

simplify67.0ms

prune85.0ms

localize56.0ms

rewrite40.0ms

series324.0ms

simplify51.0ms

prune154.0ms

localize62.0ms

rewrite31.0ms

series109.0ms

simplify37.0ms

prune168.0ms

localize114.0ms

rewrite26.0ms

series221.0ms

simplify53.0ms

prune85.0ms

regimes373.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.1s

Profiling