Details

sample38.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.1b	(- (* (* z 2.0) z) (* y t))
20.9b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

23.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms	(- (* (* z 2.0) z) (* y t))
18.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms	(- (* (* z 2.0) z) (* y t))
184.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune153.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.1b	(- (* (* z 2.0) z) (* y t))
6.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.6b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

25.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
6.0ms	(- (* (* z 2.0) z) (* y t))
14.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series362.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms	(- (* (* z 2.0) z) (* y t))
188.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
53.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5002	988

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
4.6b	(/ (* t y) z)
6.6b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

4.0ms	(- (* 2.0 z) (/ (* t y) z))
8.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
3.0ms	(/ (* t y) z)
8.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 2.0 z) (/ (* t y) z))
69.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
19.0ms	(/ (* t y) z)
169.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	399	618
1	1947	528
2	5001	527

prune194.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0)))
0.6b	(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0))
4.6b	(/ (* t y) z)
6.5b	(/ (- (* 2.0 z) (/ (* t y) z)) y)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
221×	`add-sqr-sqrt`
204×	`*-un-lft-identity`
198×	`add-cube-cbrt`
49×	`associate-/r*`
32×	`add-exp-log`
20×	`add-cbrt-cube` `div-inv`
18×	`div-exp`
9×	`cbrt-undiv`
7×	`associate-/l*` `difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
2×	`flip3--` `flip--` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `prod-exp` `associate-/r/` `cbrt-unprod` `inv-pow`

Counts

4 → 272

Calls

4 calls:

54.0ms	(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0)))
17.0ms	(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0))
3.0ms	(/ (* t y) z)
11.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) y)

series154.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- x (/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0)))
40.0ms	(/ 1 (/ (/ (- (* 2.0 z) (/ (* t y) z)) y) 2.0))
19.0ms	(/ (* t y) z)
53.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1234	3905
1	5001	3314

prune518.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

792.0ms

8000×

body

valid