Details

sample330.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.760697%

Space saved by search: 99.760697%

Guaranteed chance to sample good point: 0%

Results

201.0ms	9×	body	160	valid
62.0ms	132×	body	1280	valid
18.0ms	256×	pre	80	true
15.0ms	59×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	34×	body	80	valid

simplify401.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	33	5
3	39	5
4	50	5
5	70	5
6	99	5
7	124	5
8	166	5
9	259	5
10	260	5
11	260	5

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: 14.2b

Counts

2 → 1

localize14.0ms

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` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

5.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
6.0ms	(tan (+ y z))

series111.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (- (tan (+ y z)) (tan a)))
47.0ms	(- (tan (+ y z)) (tan a))
24.0ms	(tan (+ y z))

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334

prune100.0ms

Filtered

39 candidates to 51 candidates (-30.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Merged error: 0.1b

Counts

52 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.1b	(+ (tan y) (tan z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.3b	(* (tan y) (tan z))

rewrite38.0ms

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` `associate-+r+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `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 → 67

Calls

4 calls:

13.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
7.0ms	(+ (tan y) (tan z))
11.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series289.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
22.0ms	(+ (tan y) (tan z))
119.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
22.0ms	(* (tan y) (tan z))

simplify75.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	367	860
1	1074	821
2	3057	814
3	5001	814

prune146.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
0.3b	(* (tan y) (tan z))
0.3b	(pow (* (tan y) (tan z)) 3)
25.7b	(cbrt (pow (* (tan y) (tan z)) 3))

rewrite39.0ms

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 → 82

Calls

4 calls:

22.0ms	(- (/ (+ (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))

series201.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a))
22.0ms	(* (tan y) (tan z))
35.0ms	(pow (* (tan y) (tan z)) 3)
24.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	377	783
1	1645	739
2	5001	738

prune168.0ms

Filtered

69 candidates to 94 candidates (-36.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* (tan y) (tan z)) 3)
0.6b	(pow (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)) 3)
3.4b	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)) 3))
25.7b	(cbrt (pow (* (tan y) (tan z)) 3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

5.0ms	(pow (* (tan y) (tan z)) 3)
25.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)) 3)
22.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)) 3))
4.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

series379.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (* (tan y) (tan z)) 3)
202.0ms	(pow (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)) 3)
120.0ms	(cbrt (pow (- (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (* (tan y) (tan z)) 3)))) (tan a)) 3))
22.0ms	(cbrt (pow (* (tan y) (tan z)) 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	508	1808
1	2265	1706
2	5001	1700

prune171.0ms

Filtered

73 candidates to 119 candidates (-63.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	119	9	128

Merged error: 0.0b

Counts

128 → 9

regimes820.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15

end0.0ms

sample3.3s

Algorithm

intervals

sampling

Space saved by range analysis: 99.760697%

Space saved by search: 99.760697%

Guaranteed chance to sample good point: 0%

Results

1.7s	3862×	body	1280	valid
539.0ms	8000×	pre	80	true
476.0ms	1975×	body	640	valid
116.0ms	709×	body	320	valid
63.0ms	1153×	body	80	valid
37.0ms	301×	body	160	valid

Details

sample330.0ms

simplify401.0ms

prune6.0ms

localize14.0ms

rewrite20.0ms

series111.0ms

simplify37.0ms

prune100.0ms

localize16.0ms

rewrite38.0ms

series289.0ms

simplify75.0ms

prune146.0ms

localize20.0ms

rewrite39.0ms

series201.0ms

simplify48.0ms

prune168.0ms

localize22.0ms

rewrite60.0ms

series379.0ms

simplify65.0ms

prune171.0ms

regimes820.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.3s

Profiling