Details

analyze1.0s

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
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

sample30.0ms

Algorithm

intervals

Results

8.0ms	213×	body	80	valid
3.0ms	21×	body	640	valid
1.0ms	40×	body	80	invalid
1.0ms	8×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	4×	body	1280	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4892	13
1	4892	13

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 10.1b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.1b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.1b	(* (- y z) (/ (- t x) (- a z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ (- t x) (- a z))
8.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms	(* (- y z) (/ (- t x) (- a z)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- t x) (- a z))
50.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
34.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5183	1602

prune164.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	120	10	130

Merged error: 1.5b

Counts

130 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.4b	(/ 1 (/ (- a z) (- t x)))
4.5b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
5.1b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
83×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`cbrt-unprod`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 344

Calls

4 calls:

7.0ms	(/ (- a z) (- t x))
11.0ms	(/ 1 (/ (- a z) (- t x)))
4.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
35.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (- a z) (- t x))
29.0ms	(/ 1 (/ (- a z) (- t x)))
49.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
52.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify73.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5155	4965

prune280.0ms

Filtered

206 candidates to 356 candidates (-72.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	353	3	356
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	357	9	366

Merged error: 1.5b

Counts

366 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.9b	(* (/ (- y z) (- a z)) (- t x))
2.3b	(+ x (* (/ (- y z) (- a z)) (- t x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 123

Calls

3 calls:

8.0ms	(/ (- y z) (- a z))
15.0ms	(* (/ (- y z) (- a z)) (- t x))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

series110.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- y z) (- a z))
53.0ms	(* (/ (- y z) (- a z)) (- t x))
47.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5343	1678

prune115.0ms

Filtered

90 candidates to 132 candidates (-46.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	133	8	141

Merged error: 1.5b

Counts

141 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.9b	(/ 1 (/ (- a z) (- y z)))
1.9b	(* (/ 1 (/ (- a z) (- y z))) (- t x))
2.3b	(+ x (* (/ 1 (/ (- a z) (- y z))) (- t x)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-l`
83×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-r` `unswap-sqr`
4×	`sub-neg` `rec-exp` `1-exp`
3×	`cbrt-unprod`
2×	`distribute-rgt-in` `frac-times` `associate-+r+` `frac-2neg` `distribute-lft-in` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `inv-pow`

Counts

4 → 347

Calls

4 calls:

7.0ms	(/ (- a z) (- y z))
12.0ms	(/ 1 (/ (- a z) (- y z)))
27.0ms	(* (/ 1 (/ (- a z) (- y z))) (- t x))
6.0ms	(+ x (* (/ 1 (/ (- a z) (- y z))) (- t x)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- a z) (- y z))
16.0ms	(/ 1 (/ (- a z) (- y z)))
48.0ms	(* (/ 1 (/ (- a z) (- y z))) (- t x))
46.0ms	(+ x (* (/ 1 (/ (- a z) (- y z))) (- t x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

359 → 359

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5064	5019

prune263.0ms

Filtered

216 candidates to 359 candidates (-66.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	359	0	359
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	359	8	367

Merged error: 1.5b

Counts

367 → 8

regimes428.0ms

Accuracy

18.8% (6.7b remaining)

Error of 10.5b against oracle of 3.8b and baseline of 12.1b

bsearch40.0ms

Steps

Iters	Range		Point
7	5.859158543601542e+70	6.076654167823211e+72	5.984744177677668e+72
8	-1.9609689147585448e+184	-1.4292369193139368e+180	-1.558989758721889e+183

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	33
1	64	33

end0.0ms

sample804.0ms

Algorithm

intervals

Results

257.0ms	6489×	body	80	valid
70.0ms	488×	body	640	valid
50.0ms	266×	body	1280	valid
48.0ms	413×	body	320	valid
47.0ms	1179×	body	80	invalid
24.0ms	324×	body	160	valid
4.0ms	20×	body	2560	valid

Details

analyze1.0s

sample30.0ms

simplify53.0ms

prune12.0ms

localize9.0ms

rewrite37.0ms

series96.0ms

simplify43.0ms

prune164.0ms

localize10.0ms

rewrite83.0ms

series144.0ms

simplify73.0ms

prune280.0ms

localize9.0ms

rewrite33.0ms

series110.0ms

simplify45.0ms

prune115.0ms

localize10.0ms

rewrite76.0ms

series120.0ms

simplify79.0ms

prune263.0ms

regimes428.0ms

bsearch40.0ms

simplify2.0ms

end0.0ms

sample804.0ms

Profiling