Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify46.0ms

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: 12.3b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b	(- (* (* z 2.0) z) (* y t))
20.5b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

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

series294.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms	(- (* (* z 2.0) z) (* y t))
177.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify86.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	506	1970
1	2392	1402
2	5002	1401

prune207.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Merged error: 4.0b

Counts

99 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.7b	(- (* 2.0 (pow z 2)) (* t y))
4.5b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
16.5b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

3.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
10.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
40.0ms	(- (* 2.0 (pow z 2)) (* t y))
174.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
48.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	435	1047
1	2138	914
2	5001	909

prune254.0ms

Filtered

116 candidates to 84 candidates (72.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Merged error: 4.0b

Counts

124 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b	(- (* (* z 2.0) z) (* y t))
4.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.1b	(/ (- (* (* 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))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series357.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
36.0ms	(- (* (* z 2.0) z) (* y t))
188.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
50.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify129.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (99.0ms)

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

prune337.0ms

Filtered

181 candidates to 120 candidates (66.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	184	5	189

Merged error: 1.3b

Counts

189 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (/ (* t y) z))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.8b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.9b	(/ (* t y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

5.0ms	(- (* z 2.0) (/ (* t y) z))
9.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

series314.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* z 2.0) (/ (* t y) z))
69.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
185.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
22.0ms	(/ (* t y) z)

simplify95.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	613	1989
1	2845	1406
2	5001	1405

prune224.0ms

Filtered

128 candidates to 83 candidates (64.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	128	5	133

Merged error: 0.2b

Counts

133 → 5

regimes123.0ms

Accuracy

0% (2.2b remaining)

Error of 2.8b against oracle of 0.6b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample617.0ms

Algorithm

intervals

Results

391.0ms

8000×

body

valid