Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify35.0ms

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: 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

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:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms	(- (* (* z 2.0) z) (* y t))
13.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms	(- (* (* z 2.0) z) (* y t))
178.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune150.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.1b

localize14.0ms

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)

rewrite34.0ms

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:

10.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* 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)

series352.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
36.0ms	(- (* (* z 2.0) z) (* y t))
180.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

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

prune360.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

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

series258.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
169.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
22.0ms	(/ (* t y) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	312	463
1	1403	412
2	5001	412

prune150.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

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

series258.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y)))))
24.0ms	(/ t (/ z y))
170.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ t (/ z y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	528	830
1	2279	774
2	5001	773

prune283.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

regimes93.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample487.0ms

Algorithm

intervals

Results

292.0ms

8000×

body

valid