Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

341×

body

valid

simplify47.0ms

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: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.2b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite27.0ms

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:

10.0ms	(* (- 1.0 x) (- 3.0 x))
13.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series79.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- 1.0 x) (- 3.0 x))
54.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (18.0ms)

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

prune171.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:

7.0ms	(/ (- 3.0 x) 3.0)
11.0ms	(/ (- 1.0 x) y)
19.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series127.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (- 3.0 x) 3.0)
39.0ms	(/ (- 1.0 x) y)
48.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (63.0ms)

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

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`add-exp-log`
47×	`*-un-lft-identity`
41×	`times-frac`
32×	`associate-r`
31×	`add-cbrt-cube`
30×	`add-cube-cbrt`
22×	`prod-exp`
12×	`frac-times` `div-exp` `associate-*l/` `cbrt-unprod`
10×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `flip3--` `flip--`
6×	`associate-l`
5×	`associate-/l*`
4×	`associate-*r/` `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:

10.0ms	(/ (- 3.0 x) 3.0)
10.0ms	(* (- 1.0 x) (/ 1 y))
17.0ms	(* (* (- 1.0 x) (/ 1 y)) (/ (- 3.0 x) 3.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 3.0 x) 3.0)
37.0ms	(* (- 1.0 x) (/ 1 y))
45.0ms	(* (* (- 1.0 x) (/ 1 y)) (/ (- 3.0 x) 3.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	657	941
1	3426	789
2	5001	776

prune303.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.3b	(/ (* (- 3.0 x) (/ (- 1.0 x) y)) 3.0)
0.3b	(* (- 3.0 x) (/ (- 1.0 x) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

7.0ms	(/ (- 1.0 x) y)
12.0ms	(/ (* (- 3.0 x) (/ (- 1.0 x) y)) 3.0)
13.0ms	(* (- 3.0 x) (/ (- 1.0 x) y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 1.0 x) y)
44.0ms	(/ (* (- 3.0 x) (/ (- 1.0 x) y)) 3.0)
47.0ms	(* (- 3.0 x) (/ (- 1.0 x) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	492	750
1	2337	660
2	5001	660

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample461.0ms

Algorithm

intervals

Results

290.0ms

10655×

body

valid