Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify37.0ms

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: 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)))

rewrite29.0ms

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:

9.0ms	(- 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)))

series301.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms	(- (* (* z 2.0) z) (* y t))
181.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

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

prune161.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.1b

localize15.0ms

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)

rewrite35.0ms

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)))
5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
8.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series348.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
36.0ms	(- (* (* z 2.0) z) (* y t))
177.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
53.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

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

prune274.0ms

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
56×	`add-sqr-sqrt`
49×	`*-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` `difference-of-squares`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 107

Calls

3 calls:

18.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
8.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.0ms	(/ (* t y) z)

series247.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
162.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
18.0ms	(/ (* t y) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	504	1186
1	2135	1125
2	5002	1124

prune480.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
96×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
87×	`add-cube-cbrt`
26×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `difference-of-squares`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 156

Calls

3 calls:

22.0ms	(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
6.0ms	(/ t (/ z y))
14.0ms	(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

series256.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
20.0ms	(/ t (/ z y))
168.0ms	(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	712	1553
1	3206	1486
2	5001	1486

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes92.0ms

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	14	7
1	14	7

end0.0ms

sample534.0ms

Algorithm

intervals

Results

325.0ms

8000×

body

valid