Details

analyze898.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	52	5
3	80	5
4	108	5
5	157	5
6	589	5
7	4476	5
8	5002	5

prune4.0ms

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: 10.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
10.7b	(/ (- x (* y z)) (- t (* a z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 44

Calls

2 calls:

2.0ms	(- t (* a z))
6.0ms	(/ (- x (* y z)) (- t (* a z)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- t (* a z))
19.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	220	349
1	753	322
2	2823	322
3	5001	322

prune85.0ms

Filtered

39 candidates to 50 candidates (-28.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	9	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	9	51

Merged error: 10.6b

Counts

51 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.5b	(/ x (- t (* a z)))
10.6b	(/ (* y z) (- t (* a z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/` `add-log-exp`
6×	`flip3--` `associate-/r*` `flip--`
4×	`pow1` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `div-exp`
2×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `difference-of-squares`
1×	`prod-exp` `frac-sub` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

4 → 84

Calls

4 calls:

2.0ms	(- t (* a z))
12.0ms	(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms	(/ x (- t (* a z)))
6.0ms	(/ (* y z) (- t (* a z)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- t (* a z))
30.0ms	(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
12.0ms	(/ x (- t (* a z)))
14.0ms	(/ (* y z) (- t (* a z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	332	640
1	1264	590
2	5001	590

prune102.0ms

Filtered

72 candidates to 96 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Merged error: 7.9b

Counts

105 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.9b	(/ y (/ (- t (* a z)) z))
3.5b	(/ x (- t (* a z)))
9.6b	(/ (- t (* a z)) z)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

104×	`times-frac`
83×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
62×	`add-cube-cbrt`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
7×	`div-inv`
6×	`add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
2×	`associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `div-sub` `frac-sub`

Counts

4 → 150

Calls

4 calls:

33.0ms	(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
6.0ms	(/ y (/ (- t (* a z)) z))
4.0ms	(/ x (- t (* a z)))
5.0ms	(/ (- t (* a z)) z)

series64.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
13.0ms	(/ y (/ (- t (* a z)) z))
11.0ms	(/ x (- t (* a z)))
7.0ms	(/ (- t (* a z)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	575	1367
1	2266	1305
2	5001	1302

prune151.0ms

Filtered

130 candidates to 162 candidates (-24.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	162	6	168

Merged error: 1.3b

Counts

168 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ t z) a)
0.0b	(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
2.9b	(/ y (- (/ t z) a))
3.5b	(/ x (- t (* a z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
40×	`times-frac`
23×	`add-cube-cbrt`
14×	`difference-of-squares`
9×	`associate-/r*` `distribute-lft-out--`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`
1×	`frac-sub`

Counts

4 → 105

Calls

4 calls:

7.0ms	(- (/ t z) a)
24.0ms	(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
7.0ms	(/ y (- (/ t z) a))
4.0ms	(/ x (- t (* a z)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ t z) a)
27.0ms	(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
10.0ms	(/ y (- (/ t z) a))
11.0ms	(/ x (- t (* a z)))

simplify78.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	368	800
1	1059	766
2	3168	765
3	5002	765

prune98.0ms

Filtered

87 candidates to 117 candidates (-34.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	115	8	123

Merged error: 1.3b

Counts

123 → 8

regimes618.0ms

Accuracy

88.2% (0.2b remaining)

Error of 1.8b against oracle of 1.6b and baseline of 3.3b

bsearch1.6s

Steps

Iters	Range		Point
6	8.667771049104877e-31	7.36343483112469e-30	3.2824409321267884e-30
9	-1.8690505951507148e+54	-1.0004551510157836e+45	-1.021931936750264e+45

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

analyze944.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

sample640.0ms

Algorithm

intervals

Results

331.0ms	8000×	body	80	valid
31.0ms	706×	body	80	invalid

Details

analyze898.0ms

sample23.0ms

simplify96.0ms

prune4.0ms

localize8.0ms

rewrite9.0ms

series26.0ms

simplify73.0ms

prune85.0ms

localize9.0ms

rewrite26.0ms

series62.0ms

simplify40.0ms

prune102.0ms

localize9.0ms

rewrite53.0ms

series64.0ms

simplify64.0ms

prune151.0ms

localize10.0ms

rewrite47.0ms

series53.0ms

simplify78.0ms

prune98.0ms

regimes618.0ms

bsearch1.6s

simplify2.0ms

end0.0ms

analyze944.0ms

sample640.0ms

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