Details

analyze688.0ms

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5153	17

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: 8.8b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.9b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 97

Calls

4 calls:

11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms	(- (* t z) x)
18.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series80.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* t z) x)
32.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5083	1911

prune142.0ms

Filtered

84 candidates to 109 candidates (-29.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	7	110

Merged error: 1.0b

Counts

110 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
3.7b	(/ y (- (* z t) x))
4.8b	(/ x (- (* z t) x))
8.5b	(* z (/ y (- (* z t) x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

19.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
6.0ms	(/ y (- (* z t) x))
5.0ms	(/ x (- (* z t) x))
10.0ms	(* z (/ y (- (* z t) x)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
11.0ms	(/ y (- (* z t) x))
14.0ms	(/ x (- (* z t) x))
14.0ms	(* z (/ y (- (* z t) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5221	2386

prune153.0ms

Filtered

105 candidates to 145 candidates (-38.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	144	8	152

Merged error: 0.9b

Counts

152 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (+ x 1.0) (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))))
3.7b	(/ y (- (* z t) x))
4.8b	(/ x (- (* z t) x))
8.5b	(* z (/ y (- (* z t) x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 132

Calls

4 calls:

18.0ms	(/ (+ x 1.0) (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))))
6.0ms	(/ y (- (* z t) x))
8.0ms	(/ x (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (+ x 1.0) (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))))
11.0ms	(/ y (- (* z t) x))
11.0ms	(/ x (- (* z t) x))
14.0ms	(* z (/ y (- (* z t) x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5032	2354

prune150.0ms

Filtered

104 candidates to 144 candidates (-38.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	144	8	152

Merged error: 0.9b

Counts

152 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z t) x)
0.9b	(/ 1 (- (* z t) x))
0.9b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* z t) x)))) (+ x 1.0))
11.3b	(* (- (* y z) x) (/ 1 (- (* z t) x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 121

Calls

4 calls:

4.0ms	(- (* z t) x)
6.0ms	(/ 1 (- (* z t) x))
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* z t) x)))) (+ x 1.0))
13.0ms	(* (- (* y z) x) (/ 1 (- (* z t) x)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* z t) x)
7.0ms	(/ 1 (- (* z t) x))
35.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* z t) x)))) (+ x 1.0))
17.0ms	(* (- (* y z) x) (/ 1 (- (* z t) x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4950	1931
1	4950	1931

prune117.0ms

Filtered

90 candidates to 133 candidates (-47.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	133	8	141

Merged error: 0.9b

Counts

141 → 8

regimes413.0ms

Accuracy

69.5% (1.5b remaining)

Error of 1.8b against oracle of 0.3b and baseline of 5.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	91
1	58	91

end0.0ms

sample602.0ms

Algorithm

intervals

Results

374.0ms	8000×	body	80	valid
16.0ms	367×	body	80	invalid

Details

analyze688.0ms

sample23.0ms

simplify42.0ms

prune7.0ms

localize11.0ms

rewrite44.0ms

series80.0ms

simplify59.0ms

prune142.0ms

localize13.0ms

rewrite44.0ms

series74.0ms

simplify49.0ms

prune153.0ms

localize14.0ms

rewrite44.0ms

series69.0ms

simplify60.0ms

prune150.0ms

localize12.0ms

rewrite33.0ms

series64.0ms

simplify57.0ms

prune117.0ms

regimes413.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample602.0ms

Profiling