Details

analyze661.0ms

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
0.0ms	11×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

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: 7.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite32.0ms

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	(- (* y z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series56.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (* y z) x)
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5052	1666

prune128.0ms

Filtered

71 candidates to 93 candidates (-31.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
2.5b	(/ x (- (* z t) x))
2.8b	(/ y (- (* z t) x))
7.7b	(* 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:

18.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
6.0ms	(/ x (- (* z t) x))
5.0ms	(/ y (- (* z t) x))
9.0ms	(* z (/ y (- (* z t) x)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (+ x (- (* z (/ y (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
12.0ms	(/ x (- (* z t) x))
11.0ms	(/ y (- (* z t) x))
15.0ms	(* z (/ y (- (* z t) x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5221	2386

prune148.0ms

Filtered

106 candidates to 145 candidates (-36.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	145	7	152

Merged error: 0.0b

Counts

152 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (+ x 1.0))
0.4b	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
10.1b	(/ (- (* z t) x) (- (* y z) x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 172

Calls

4 calls:

4.0ms	(- (* y z) x)
23.0ms	(/ (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (+ x 1.0))
12.0ms	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
11.0ms	(/ (- (* z t) x) (- (* y z) x))

series83.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* y z) x)
37.0ms	(/ (+ x (/ 1 (/ (- (* z t) x) (- (* y z) x)))) (+ x 1.0))
23.0ms	(/ 1 (/ (- (* z t) x) (- (* y z) x)))
18.0ms	(/ (- (* z t) x) (- (* y z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4977	3487
1	4977	3487

prune175.0ms

Filtered

125 candidates to 184 candidates (-47.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	184	7	191

Merged error: 0b

Counts

191 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ 1 (+ x 1.0))
0.1b	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
10.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

4.0ms	(- (* y z) x)
5.0ms	(/ 1 (+ x 1.0))
20.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series63.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
2.0ms	(/ 1 (+ x 1.0))
38.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5369	1937

prune128.0ms

Filtered

96 candidates to 138 candidates (-43.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	138	7	145

Merged error: 0b

Counts

145 → 7

regimes293.0ms

Accuracy

27.9% (3.2b remaining)

Error of 3.6b against oracle of 0.4b and baseline of 4.8b

bsearch30.0ms

Steps

Iters	Range		Point
9	77096759752839.2	4.8364274938934375e+20	8.932110384793056e+18
5	-36.391717258981856	-12.560417219077403	-34.0409337410441

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	59
1	58	59

end0.0ms

sample593.0ms

Algorithm

intervals

Results

373.0ms	8000×	body	80	valid
15.0ms	337×	body	80	invalid

Details

analyze661.0ms

sample22.0ms

simplify41.0ms

prune7.0ms

localize10.0ms

rewrite32.0ms

series56.0ms

simplify50.0ms

prune128.0ms

localize12.0ms

rewrite44.0ms

series72.0ms

simplify52.0ms

prune148.0ms

localize13.0ms

rewrite57.0ms

series83.0ms

simplify60.0ms

prune175.0ms

localize14.0ms

rewrite41.0ms

series63.0ms

simplify46.0ms

prune128.0ms

regimes293.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample593.0ms

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