Details

analyze686.0ms

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

sample22.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5153	17

prune8.0ms

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: 6.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* t z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

7.0ms	(- (* t z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series55.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (* t z) x)
33.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5118	1666

prune144.0ms

Filtered

71 candidates to 93 candidates (-31.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 0.3b

Counts

94 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
2.7b	(/ y (- (* z t) x))
3.0b	(/ x (- (* z t) x))
5.2b	(* z (/ y (- (* z t) x)))

rewrite45.0ms

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:

18.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
6.0ms	(/ y (- (* z t) x))
8.0ms	(/ x (- (* z t) x))
10.0ms	(* z (/ y (- (* z t) x)))

series72.0ms

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)))

simplify48.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5221	2386

prune192.0ms

Filtered

105 candidates to 145 candidates (-38.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	143	10	153

Merged error: 0.2b

Counts

153 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (- (* z t) x))
2.4b	(* y (/ 1 (- (* z t) x)))
3.0b	(/ x (- (* z t) x))
5.2b	(* z (* y (/ 1 (- (* z t) x))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
34×	`add-exp-log`
30×	`*-un-lft-identity`
29×	`add-cube-cbrt` `times-frac`
22×	`add-cbrt-cube`
16×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`div-exp` `cbrt-unprod`
6×	`associate-l` `associate-/r` `associate-/r/` `associate-/l`
4×	`cbrt-undiv` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`rec-exp` `flip3--` `1-exp` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num` `un-div-inv` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 124

Calls

4 calls:

8.0ms	(/ 1 (- (* z t) x))
10.0ms	(* y (/ 1 (- (* z t) x)))
5.0ms	(/ x (- (* z t) x))
10.0ms	(* z (* y (/ 1 (- (* z t) x))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 1 (- (* z t) x))
10.0ms	(* y (/ 1 (- (* z t) x)))
11.0ms	(/ x (- (* z t) x))
14.0ms	(* z (* y (/ 1 (- (* z t) x))))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5058	1256

prune150.0ms

Filtered

88 candidates to 136 candidates (-54.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	136	10	146

Merged error: 0.2b

Counts

146 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (/ 1 (+ x 1.0)))
2.7b	(/ y (- (* z t) x))
3.0b	(/ x (- (* z t) x))
5.2b	(* z (/ y (- (* z t) x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
42×	`times-frac`
37×	`add-cube-cbrt`
33×	`associate-r`
22×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`pow1` `associate-/r/`
7×	`associate-l`
6×	`prod-exp` `associate-/r` `associate-/l`
5×	`div-exp` `unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`
1×	`rec-exp` `1-exp` `un-div-inv`

Counts

4 → 138

Calls

4 calls:

27.0ms	(* (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (/ 1 (+ x 1.0)))
6.0ms	(/ y (- (* z t) x))
6.0ms	(/ x (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (/ 1 (+ x 1.0)))
10.0ms	(/ y (- (* z t) x))
11.0ms	(/ x (- (* z t) x))
14.0ms	(* z (/ y (- (* z t) x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5360	2341

prune138.0ms

Filtered

108 candidates to 150 candidates (-38.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	150	10	160

Merged error: 0.2b

Counts

160 → 10

regimes370.0ms

Accuracy

34.6% (2.9b remaining)

Error of 3.2b against oracle of 0.3b and baseline of 4.8b

bsearch35.0ms

Steps

Iters	Range		Point
8	5.613039658417725e+80	2.8169384061094556e+85	1.1093987823313588e+84
8	-2.9590775038909963e-30	-2.9435000549230246e-34	-6.265345281220906e-32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	61
1	60	61

end0.0ms

sample584.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
15.0ms	342×	body	80	invalid

Details

analyze686.0ms

sample22.0ms

simplify45.0ms

prune8.0ms

localize12.0ms

rewrite34.0ms

series55.0ms

simplify56.0ms

prune144.0ms

localize12.0ms

rewrite45.0ms

series72.0ms

simplify48.0ms

prune192.0ms

localize14.0ms

rewrite37.0ms

series42.0ms

simplify46.0ms

prune150.0ms

localize13.0ms

rewrite52.0ms

series72.0ms

simplify51.0ms

prune138.0ms

regimes370.0ms

bsearch35.0ms

simplify2.0ms

end0.0ms

sample584.0ms

Profiling