Details

sample34.0ms

Algorithm

intervals

Results

24.0ms

320×

body

valid

simplify48.0ms

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: 5.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
4.9b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite37.0ms

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:

19.0ms	(* (- 1.0 x) (- 3.0 x))
15.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 3.0 x))
49.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (17.0ms)

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

prune168.0ms

Pruning

4 alts after pruning (4 fresh and 0 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))

rewrite56.0ms

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:

8.0ms	(/ (- 1.0 x) y)
8.0ms	(/ (- 3.0 x) 3.0)
33.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series125.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- 1.0 x) y)
39.0ms	(/ (- 3.0 x) 3.0)
51.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (63.0ms)

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

prune365.0ms

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 228

Calls

3 calls:

9.0ms	(/ (- 3.0 x) 3.0)
12.0ms	(/ (/ (- 3.0 x) 3.0) y)
45.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- 3.0 x) 3.0)
52.0ms	(/ (/ (- 3.0 x) 3.0) y)
54.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify138.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	810	1746
1	4035	1652
2	5002	1649

prune610.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
167×	`add-sqr-sqrt`
134×	`*-un-lft-identity`
90×	`add-cube-cbrt`
61×	`cbrt-prod`
58×	`associate-r`
52×	`add-exp-log`
35×	`add-cbrt-cube`
22×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-l` `associate-/l*`
18×	`div-inv`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*` `unswap-sqr`
6×	`pow1`
5×	`associate-/l/`
4×	`expm1-log1p-u` `div-sub` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 276

Calls

4 calls:

9.0ms	(/ (- 1.0 x) y)
11.0ms	(/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0)))
63.0ms	(* (/ (- 1.0 x) y) (/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
15.0ms	(/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series468.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- 1.0 x) y)
142.0ms	(/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0)))
118.0ms	(* (/ (- 1.0 x) y) (/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
160.0ms	(/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1097	2970
1	5001	2608

prune871.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample899.0ms

Algorithm

intervals

Results

715.0ms

10736×

body

valid