Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify37.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.3b	(- (* (* z 2.0) z) (* y t))
20.4b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

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))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms	(- (* (* z 2.0) z) (* y t))
187.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (66.0ms)

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

prune243.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.3b	(- (* (* z 2.0) z) (* y t))
5.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite42.0ms

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:

12.0ms	(- 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)

series371.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
40.0ms	(- (* (* z 2.0) z) (* y t))
188.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
58.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify125.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (96.0ms)

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

prune426.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.4b	(/ (* t y) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

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)

series268.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
174.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
22.0ms	(/ (* t y) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	507	1752
1	2223	1227
2	5001	1226

prune215.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
4.6b	(/ t (/ z y))
5.0b	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
65×	`add-sqr-sqrt` `*-un-lft-identity`
63×	`add-cube-cbrt`
27×	`prod-diff`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/` `div-inv`
5×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 143

Calls

3 calls:

17.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
5.0ms	(/ t (/ z y))
13.0ms	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

series266.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
21.0ms	(/ t (/ z y))
173.0ms	(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))

simplify88.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	723	2119
1	3116	1589
2	5001	1588

prune363.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes115.0ms

Accuracy

0% (1.9b remaining)

Error of 2.4b against oracle of 0.6b and baseline of 2.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample526.0ms

Algorithm

intervals

Results

321.0ms

8000×

body

valid