Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify36.0ms

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: 9.9b

localize11.0ms

Local error

Found 3 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))
20.1b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite146.0ms

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:

76.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
19.0ms	(- (* (* z 2.0) z) (* y t))
48.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* (* 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

prune226.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.7b

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))
6.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite163.0ms

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:

56.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
19.0ms	(- (* (* z 2.0) z) (* y t))
33.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
46.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series368.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms	(- (* (* z 2.0) z) (* y t))
182.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
59.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify118.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (93.0ms)

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

prune399.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
3.8b	(/ (* t y) z)
6.0b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

rewrite73.0ms

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:

40.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
10.0ms	(/ (* t y) z)
21.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
21.0ms	(/ (* t y) z)
169.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

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

prune222.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
4.2b	(* t (/ y z))
6.0b	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`prod-diff`
22×	`times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
8×	`associate-/r/`
5×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `associate-l` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u`
2×	`unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 105

Calls

3 calls:

30.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
13.0ms	(* t (/ y z))
20.0ms	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))

series267.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
24.0ms	(* t (/ y z))
172.0ms	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	564	1800
1	2519	1275
2	5002	1274

prune229.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

regimes98.0ms

Accuracy

0% (2.2b remaining)

Error of 2.7b against oracle of 0.6b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample545.0ms

Algorithm

intervals

Results

282.0ms

8000×

body

valid