Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

333×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	179	5
3	512	5
4	1357	5
5	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
6.5b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

20.0ms	(* (- 1.0 x) (- 3.0 x))
16.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- 1.0 x) (- 3.0 x))
55.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	497	758
1	2837	559
2	5002	559

prune186.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.0b	(/ (- 3.0 x) 3.0)
0.1b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 144

Calls

3 calls:

9.0ms	(/ (- 1.0 x) y)
9.0ms	(/ (- 3.0 x) 3.0)
36.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 1.0 x) y)
41.0ms	(/ (- 3.0 x) 3.0)
57.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	571	920
1	2402	835
2	5001	834

prune357.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
0.1b	(* (- 3.0 x) (/ 1 3.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`add-exp-log`
47×	`*-un-lft-identity`
41×	`times-frac`
31×	`add-cbrt-cube`
30×	`add-cube-cbrt`
24×	`associate-l`
22×	`prod-exp`
14×	`associate-r`
12×	`frac-times` `div-exp` `cbrt-unprod`
10×	`pow1`
9×	`associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `flip3--` `associate-*l/` `flip--`
5×	`associate-/l*`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r*` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num`

Counts

3 → 145

Calls

3 calls:

9.0ms	(/ (- 1.0 x) y)
34.0ms	(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
20.0ms	(* (- 3.0 x) (/ 1 3.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- 1.0 x) y)
50.0ms	(* (/ (- 1.0 x) y) (* (- 3.0 x) (/ 1 3.0)))
50.0ms	(* (- 3.0 x) (/ 1 3.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	653	936
1	3023	794
2	5002	782

prune336.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 1.0 x) (/ 1 y))
0.1b	(* (* (- 1.0 x) (/ 1 y)) (* (- 3.0 x) (/ 1 3.0)))
0.1b	(* (- 3.0 x) (/ 1 3.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-exp-log`
73×	`prod-exp`
68×	`frac-times`
49×	`add-cbrt-cube`
38×	`associate-*l/`
37×	`add-sqr-sqrt`
32×	`flip3--` `flip--`
27×	`associate-r`
25×	`*-un-lft-identity` `cbrt-unprod`
24×	`div-exp`
22×	`times-frac` `associate-*r/`
19×	`pow1` `add-cube-cbrt`
16×	`un-div-inv`
12×	`rec-exp` `1-exp`
11×	`associate-l`
10×	`pow-prod-down`
8×	`cbrt-undiv`
6×	`unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 186

Calls

3 calls:

16.0ms	(* (- 1.0 x) (/ 1 y))
43.0ms	(* (* (- 1.0 x) (/ 1 y)) (* (- 3.0 x) (/ 1 3.0)))
21.0ms	(* (- 3.0 x) (/ 1 3.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (- 1.0 x) (/ 1 y))
58.0ms	(* (* (- 1.0 x) (/ 1 y)) (* (- 3.0 x) (/ 1 3.0)))
47.0ms	(* (- 3.0 x) (/ 1 3.0))

simplify136.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	994	1440
1	4668	1213
2	5001	1213

prune403.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b 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	10	5
1	10	5

end0.0ms

sample458.0ms

Algorithm

intervals

Results

277.0ms

10648×

body

valid