Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	235×	body	80	valid
0.0ms	5×	body	2560	valid
0.0ms	6×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

12.0ms

(+ x (/ (- x y) 2.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(+ x (/ (- x y) 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- x y) 2.0))
0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
15.5b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
32.0b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

14.0ms	(- x (/ (- x y) 2.0))
30.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
3.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
30.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- x (/ (- x y) 2.0))
28.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
32.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
106.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify121.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	767	1986
1	4021	1797
2	5001	1766

prune362.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
0.5b	(cbrt (- x (/ (- x y) 2.0)))
0.5b	(cbrt (- x (/ (- x y) 2.0)))
0.5b	(cbrt (- x (/ (- x y) 2.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

97.0ms	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
11.0ms	(cbrt (- x (/ (- x y) 2.0)))
11.0ms	(cbrt (- x (/ (- x y) 2.0)))
15.0ms	(cbrt (- x (/ (- x y) 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

544.0ms	(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
230.0ms	(cbrt (- x (/ (- x y) 2.0)))
224.0ms	(cbrt (- x (/ (- x y) 2.0)))
228.0ms	(cbrt (- x (/ (- x y) 2.0)))

simplify119.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	312	1322
1	929	1257
2	4183	1163
3	5001	1148

prune336.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (- x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (- x (/ (- x y) 2.0))))
0.9b	(pow (cbrt (cbrt (- x (/ (- x y) 2.0)))) 4)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
34×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`unpow-prod-down` `cbrt-div`
8×	`difference-of-squares`
5×	`pow1` `add-exp-log`
4×	`times-frac` `pow1/3` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

16.0ms	(cbrt (cbrt (- x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (- x (/ (- x y) 2.0))))
12.0ms	(cbrt (cbrt (- x (/ (- x y) 2.0))))
25.0ms	(pow (cbrt (cbrt (- x (/ (- x y) 2.0)))) 4)

series1.4s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (cbrt (- x (/ (- x y) 2.0))))
309.0ms	(cbrt (cbrt (- x (/ (- x y) 2.0))))
301.0ms	(cbrt (cbrt (- x (/ (- x y) 2.0))))
475.0ms	(pow (cbrt (cbrt (- x (/ (- x y) 2.0)))) 4)

simplify102.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	360	1032
1	986	982
2	3386	935
3	5002	923

prune345.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.0b 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	7	3
1	7	3

end0.0ms

sample312.0ms

Algorithm

intervals

Results

140.0ms	7414×	body	80	valid
20.0ms	221×	body	1280	valid
9.0ms	147×	body	640	valid
9.0ms	96×	body	2560	valid
4.0ms	87×	body	320	valid
1.0ms	37×	body	160	valid