Details

analyze868.0ms

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5000	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
11.1b	(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(- t (* a z))
7.0ms	(- x (* y z))
21.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5493	755

prune106.0ms

Filtered

52 candidates to 63 candidates (-21.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	53	10	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	10	64

Merged error: 1.9b

Counts

64 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ t z) a)
0.0b	(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
2.6b	(/ y (- (/ t z) a))
2.9b	(/ x (- t (* z a)))

rewrite49.0ms

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 → 103

Calls

4 calls:

7.0ms	(- (/ t z) a)
27.0ms	(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
8.0ms	(/ y (- (/ t z) a))
4.0ms	(/ x (- t (* z a)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ t z) a)
25.0ms	(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
11.0ms	(/ y (- (/ t z) a))
11.0ms	(/ x (- t (* z a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	6100	1483

prune155.0ms

Filtered

87 candidates to 115 candidates (-32.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	109	6	115
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	111	14	125

Merged error: 1.9b

Counts

125 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
0.1b	(/ 1 (- (/ t z) a))
2.7b	(* y (/ 1 (- (/ t z) a)))
2.9b	(/ x (- t (* z a)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
54×	`times-frac`
49×	`*-un-lft-identity`
34×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
14×	`difference-of-squares`
13×	`add-cbrt-cube`
9×	`associate-/r*`
7×	`pow1` `distribute-lft-out--`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`flip3--` `prod-exp` `flip--`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `un-div-inv` `frac-sub` `cbrt-unprod`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 134

Calls

4 calls:

7.0ms	(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
10.0ms	(/ 1 (- (/ t z) a))
13.0ms	(* y (/ 1 (- (/ t z) a)))
4.0ms	(/ x (- t (* z a)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
11.0ms	(/ 1 (- (/ t z) a))
11.0ms	(* y (/ 1 (- (/ t z) a)))
11.0ms	(/ x (- t (* z a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4968	1598
1	4968	1598

prune174.0ms

Filtered

95 candidates to 146 candidates (-53.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	146	14	160

Merged error: 1.9b

Counts

160 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ x (- t (* z a)))
17.5b	(cbrt (/ x (- t (* z a))))
17.5b	(cbrt (/ x (- t (* z a))))
17.5b	(cbrt (/ x (- t (* z a))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 101

Calls

4 calls:

4.0ms	(/ x (- t (* z a)))
3.0ms	(cbrt (/ x (- t (* z a))))
3.0ms	(cbrt (/ x (- t (* z a))))
3.0ms	(cbrt (/ x (- t (* z a))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ x (- t (* z a)))
31.0ms	(cbrt (/ x (- t (* z a))))
34.0ms	(cbrt (/ x (- t (* z a))))
32.0ms	(cbrt (/ x (- t (* z a))))

simplify47.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4937	1490
1	4937	1490

prune113.0ms

Filtered

94 candidates to 113 candidates (-20.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	113	14	127

Merged error: 1.9b

Counts

127 → 14

regimes575.0ms

Accuracy

62.2% (0.7b remaining)

Error of 2.0b against oracle of 1.4b and baseline of 3.1b

bsearch1.9s

Steps

Iters	Range		Point
11	2.4225403117160324e-116	4.503564147298358e-96	1.1777719673559236e-98
8	-4.818218952849042e-158	-5.925322708356793e-162	-1.5239901933061968e-158

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	39
1	32	39

end0.0ms

analyze1.1s

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

sample570.0ms

Algorithm

intervals

Results

299.0ms	8000×	body	80	valid
28.0ms	692×	body	80	invalid

Details

analyze868.0ms

sample22.0ms

simplify58.0ms

prune7.0ms

localize8.0ms

rewrite15.0ms

series34.0ms

simplify47.0ms

prune106.0ms

localize10.0ms

rewrite49.0ms

series52.0ms

simplify53.0ms

prune155.0ms

localize11.0ms

rewrite39.0ms

series58.0ms

simplify62.0ms

prune174.0ms

localize17.0ms

rewrite17.0ms

series109.0ms

simplify47.0ms

prune113.0ms

regimes575.0ms

bsearch1.9s

simplify1.0ms

end0.0ms

analyze1.1s

sample570.0ms

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