Details

analyze705.0ms

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

sample46.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify41.0ms

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: 6.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.4b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

4.0ms	(- (* t z) x)
4.0ms	(- (* y z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series63.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5023	1777

prune149.0ms

Filtered

81 candidates to 107 candidates (-32.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 0.5b

Counts

108 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
2.1b	(/ y (- (* z t) x))
2.7b	(/ x (- (* z t) x))
7.0b	(* 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:

17.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
8.0ms	(/ y (- (* z t) x))
6.0ms	(/ x (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
10.0ms	(/ y (- (* z t) x))
11.0ms	(/ x (- (* z t) x))
14.0ms	(* z (/ y (- (* z t) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5221	2386

prune153.0ms

Filtered

104 candidates to 145 candidates (-39.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Merged error: 0.5b

Counts

153 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (cbrt (- (* y z) x)) (- (* z t) x))
5.8b	(cbrt (- (* y z) x))
5.8b	(cbrt (- (* y z) x))
5.8b	(cbrt (- (* y z) x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(/ (cbrt (- (* y z) x)) (- (* z t) x))
4.0ms	(cbrt (- (* y z) x))
4.0ms	(cbrt (- (* y z) x))
4.0ms	(cbrt (- (* y z) x))

series173.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (cbrt (- (* y z) x)) (- (* z t) x))
31.0ms	(cbrt (- (* y z) x))
30.0ms	(cbrt (- (* y z) x))
33.0ms	(cbrt (- (* y z) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4970	1371
1	4970	1371

prune116.0ms

Filtered

79 candidates to 94 candidates (-19.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	94	8	102

Merged error: 0.5b

Counts

102 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ x (/ (- (* y z) x) (- (* t z) x))))
7.8b	(/ (- (* y z) x) (- (* t z) x))
7.8b	(/ (- (* y z) x) (- (* t z) x))
7.8b	(/ (- (* y z) x) (- (* z t) x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

10.0ms	(cbrt (+ x (/ (- (* y z) x) (- (* t z) x))))
8.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (- (* y z) x) (- (* z t) x))

series107.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (+ x (/ (- (* y z) x) (- (* t z) x))))
19.0ms	(/ (- (* y z) x) (- (* t z) x))
17.0ms	(/ (- (* y z) x) (- (* t z) x))
16.0ms	(/ (- (* y z) x) (- (* z t) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5824	1961

prune129.0ms

Filtered

104 candidates to 122 candidates (-17.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	122	8	130

Merged error: 0.5b

Counts

130 → 8

regimes309.0ms

Accuracy

17.6% (3.7b remaining)

Error of 4.1b against oracle of 0.3b and baseline of 4.9b

bsearch41.0ms

Steps

Iters	Range		Point
6	2.7324849130335764e+159	3.2462368486898404e+160	2.78190652179429e+159
8	-2.2749398582930943e+86	-1.4172845306795262e+83	-1.1479606974581171e+85

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	50
1	46	50

end0.0ms

sample1.1s

Algorithm

intervals

Results

345.0ms

8000×

body

valid

Details

analyze705.0ms

sample46.0ms

simplify41.0ms

prune7.0ms

localize11.0ms

rewrite32.0ms

series63.0ms

simplify53.0ms

prune149.0ms

localize12.0ms

rewrite44.0ms

series71.0ms

simplify47.0ms

prune153.0ms

localize15.0ms

rewrite22.0ms

series173.0ms

simplify49.0ms

prune116.0ms

localize25.0ms

rewrite39.0ms

series107.0ms

simplify58.0ms

prune129.0ms

regimes309.0ms

bsearch41.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling