Details

sample30.0ms

Algorithm

intervals

Results

19.0ms

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: 12.0b

localize15.0ms

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))
19.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite48.0ms

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

series310.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
41.0ms	(- (* (* z 2.0) z) (* y t))
186.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.3b

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))
5.5b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite67.0ms

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))
15.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series368.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
42.0ms	(- (* (* 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)

simplify67.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (56.0ms)

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

prune291.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.4b

localize11.0ms

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)))))
4.5b	(/ (* t y) z)
5.5b	(/ (* 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:

41.0ms	(- (* 2.0 z) (/ (* t y) z))
68.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
19.0ms	(/ (* t y) z)
173.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	399	622
1	1947	528
2	5001	527

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

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))))))
5.5b	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))
5.8b	(* t (/ y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
11×	`times-frac`
9×	`prod-exp`
8×	`add-log-exp`
7×	`div-exp`
6×	`pow1` `cbrt-unprod`
5×	`cbrt-undiv`
3×	`flip3--` `associate-r/` `associate-l*` `flip--`
2×	`sub-neg` `diff-log` `1-exp` `associate-/r/` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

3.0ms	(- (* 2.0 z) (* t (/ y z)))
8.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
7.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))
8.0ms	(* t (/ y z))

series300.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* 2.0 z) (* t (/ y z)))
68.0ms	(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
173.0ms	(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))
20.0ms	(* t (/ y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	462	666
1	2220	576
2	5001	575

prune199.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

regimes135.0ms

Accuracy

0% (2.0b remaining)

Error of 2.5b against oracle of 0.6b and baseline of 2.5b

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

sample796.0ms

Algorithm

intervals

Results

593.0ms

8000×

body

valid