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

sample121.0ms

Algorithm

intervals

Results

51.0ms	117×	body	1280	valid
18.0ms	256×	pre	80	true
16.0ms	66×	body	640	valid
16.0ms	24×	body	320	valid
2.0ms	35×	body	80	valid
2.0ms	14×	body	160	valid

simplify398.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	9
1	21	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: 12.1b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
3.5b	(tan (+ y z))

rewrite29.0ms

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

series107.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (- (tan (+ y z)) (tan a)))
35.0ms	(- (tan (+ y z)) (tan a))
26.0ms	(tan (+ y z))

simplify56.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4525	561
1	4525	561

prune92.0ms

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

localize18.0ms

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))

rewrite33.0ms

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

21.0ms	(+ (tan y) (tan z))
130.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
127.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
23.0ms	(* (tan y) (tan z))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5430	1271

prune144.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	73	11	84

Merged error: 0.0b

Counts

84 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
0.2b	(* (tan y) (tan z))
0.3b	(pow (* (tan y) (tan z)) 3)
31.9b	(cbrt (pow (* (tan y) (tan z)) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`tan-quot`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`cube-div` `add-log-exp`
3×	`frac-times` `pow-unpow` `cbrt-div` `associate-r/` `associate-r` `associate-l` `associate-l/`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `times-frac` `pow1/3` `diff-log` `*-commutative` `frac-sub` `flip--` `rem-cbrt-cube` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

24.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
5.0ms	(* (tan y) (tan z))
5.0ms	(pow (* (tan y) (tan z)) 3)
4.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

series205.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
24.0ms	(* (tan y) (tan z))
36.0ms	(pow (* (tan y) (tan z)) 3)
23.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5331	1085

prune148.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (* (pow (tan y) 3) (pow (tan z) 3))))) (tan a))
0.4b	(pow (tan z) 3)
0.4b	(pow (tan y) 3)
31.9b	(cbrt (* (pow (tan y) 3) (pow (tan z) 3)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
7×	`tan-quot`
6×	`pow1` `add-exp-log` `cube-div` `unpow-prod-down` `pow-unpow` `cube-prod` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
1×	`cbrt-prod` `frac-times` `sub-neg` `flip3--` `times-frac` `pow1/3` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `frac-sub` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 76

Calls

4 calls:

15.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (* (pow (tan y) 3) (pow (tan z) 3))))) (tan a))
3.0ms	(pow (tan z) 3)
3.0ms	(pow (tan y) 3)
6.0ms	(cbrt (* (pow (tan y) 3) (pow (tan z) 3)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (* (pow (tan y) 3) (pow (tan z) 3))))) (tan a))
12.0ms	(pow (tan z) 3)
14.0ms	(pow (tan y) 3)
23.0ms	(cbrt (* (pow (tan y) 3) (pow (tan z) 3)))

simplify39.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4941	1053
1	4941	1053

prune129.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

regimes689.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	23
1	22	23

end0.0ms

analyze16.2s

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

sample3.1s

Algorithm

intervals

Results

1.6s	3914×	body	1280	valid
528.0ms	8000×	pre	80	true
498.0ms	2081×	body	640	valid
113.0ms	675×	body	320	valid
57.0ms	1075×	body	80	valid
28.0ms	255×	body	160	valid

Details

analyze17.3s

sample121.0ms

simplify398.0ms

prune6.0ms

localize13.0ms

rewrite29.0ms

series107.0ms

simplify56.0ms

prune92.0ms

localize18.0ms

rewrite33.0ms

series302.0ms

simplify45.0ms

prune144.0ms

localize19.0ms

rewrite40.0ms

series205.0ms

simplify32.0ms

prune148.0ms

localize20.0ms

rewrite28.0ms

series170.0ms

simplify39.0ms

prune129.0ms

regimes689.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze16.2s

sample3.1s

Profiling