Details

sample87.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify38.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.4b	(- (* (* z 2.0) z) (* y t))
21.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite53.0ms

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:

26.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms	(- (* (* z 2.0) z) (* y t))
19.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
39.0ms	(- (* (* z 2.0) z) (* y t))
194.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (11.0ms)

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

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.4b	(- (* (* z 2.0) z) (* y t))
4.5b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.5b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite70.0ms

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:

23.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms	(- (* (* z 2.0) z) (* y t))
15.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
21.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series376.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms	(- (* (* z 2.0) z) (* y t))
193.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (62.0ms)

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

prune295.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
4.5b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
6.9b	(/ (* t y) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

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

series273.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
180.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
20.0ms	(/ (* t y) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	376	515
1	1869	433
2	5001	433

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
4.4b	(/ t (/ z y))
4.5b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 109

Calls

3 calls:

8.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
5.0ms	(/ t (/ z y))
15.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))

series274.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
21.0ms	(/ t (/ z y))
181.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	590	882
1	2703	795
2	5001	795

prune312.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

regimes107.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	22	8
2	22	8

end0.0ms

sample520.0ms

Algorithm

intervals

Results

312.0ms

8000×

body

valid