Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

prune2.0ms

Filtered

1 candidates to 0 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: 12.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b	(- (* (* z 2.0) z) (* y t))
0.2b	(* (* y 2.0) z)
19.5b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`prod-diff`
25×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
9×	`pow1`
8×	`associate-/r/` `add-log-exp`
6×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `div-inv`
3×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `associate-/r*`
2×	`sub-neg` `diff-log`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

9.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms	(- (* (* z 2.0) z) (* y t))
5.0ms	(* (* y 2.0) z)
12.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
39.0ms	(- (* (* z 2.0) z) (* y t))
16.0ms	(* (* y 2.0) z)
177.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	536	2048
1	2643	1465
2	5001	1464

prune259.0ms

Filtered

121 candidates to 76 candidates (62.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	8	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	8	122

Merged error: 5.7b

Counts

122 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.2b	(- (* (* z 2.0) z) (* y t))
6.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.7b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
71×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
55×	`prod-diff`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
10×	`div-inv`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `associate-/r/` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

15.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series405.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms	(- (* (* z 2.0) z) (* y t))
219.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
67.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify127.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	836	3783
1	3745	2919
2	5001	2916

prune415.0ms

Filtered

181 candidates to 120 candidates (66.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	180	9	189

Merged error: 2.8b

Counts

189 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
3.9b	(/ (* t y) z)
6.6b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
21×	`prod-diff`
20×	`add-cbrt-cube`
18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
8×	`associate-*r/` `div-exp` `prod-exp` `associate-/r/`
7×	`times-frac`
6×	`cbrt-undiv`
5×	`flip3--` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `1-exp` `clear-num` `associate-/l*`
1×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 90

Calls

3 calls:

6.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
5.0ms	(/ (* t y) z)
9.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series256.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
23.0ms	(/ (* t y) z)
169.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	529	1544
1	2548	983
2	5001	980

prune263.0ms

Filtered

99 candidates to 59 candidates (59.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 1.1b

Counts

108 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
5.3b	(/ t (/ z y))
6.6b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

79×	`times-frac`
58×	`add-sqr-sqrt` `*-un-lft-identity`
56×	`add-cube-cbrt`
25×	`add-exp-log`
21×	`prod-diff`
20×	`add-cbrt-cube`
14×	`associate-/r*`
9×	`div-exp` `associate-/r/` `div-inv`
8×	`associate-*r/`
7×	`cbrt-undiv` `prod-exp`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-unprod` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 139

Calls

3 calls:

6.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
6.0ms	(/ t (/ z y))
15.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))

series345.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
37.0ms	(/ t (/ z y))
218.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	743	1911
1	3406	1345
2	5001	1342

prune362.0ms

Filtered

148 candidates to 105 candidates (70.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	148	7	155

Merged error: 1.1b

Counts

155 → 7

regimes146.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	24	8
2	27	8
3	27	8

end0.0ms

sample523.0ms

Algorithm

intervals

Results

315.0ms

8000×

body

valid