Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

11.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	174	296
1	526	282
2	1532	278
3	5001	278

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(log1p (expm1 (/ (+ x y) (- x y))))
0.5b	(expm1 (/ (+ x y) (- x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`log1p-expm1-u` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 69

Calls

3 calls:

10.0ms	(/ (+ x y) (- x y))
0.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
0.0ms	(expm1 (/ (+ x y) (- x y)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (+ x y) (- x y))
95.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
86.0ms	(expm1 (/ (+ x y) (- x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	205	414
1	571	384
2	1583	380
3	5001	380

prune154.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 67

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))

series561.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (+ x y))
148.0ms	(cbrt (- x y))
144.0ms	(cbrt (- x y))
148.0ms	(cbrt (- x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	228	432
1	564	411
2	1844	400
3	5001	385

prune231.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (cbrt (pow (expm1 (/ (+ x y) (- x y))) 3)))
0.5b	(cbrt (pow (expm1 (/ (+ x y) (- x y))) 3))
0.5b	(expm1 (/ (+ x y) (- x y)))
0.5b	(pow (expm1 (/ (+ x y) (- x y))) 3)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `pow-exp` `rem-cbrt-cube` `expm1-udef` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

0.0ms	(log1p (cbrt (pow (expm1 (/ (+ x y) (- x y))) 3)))
1.0ms	(cbrt (pow (expm1 (/ (+ x y) (- x y))) 3))
0.0ms	(expm1 (/ (+ x y) (- x y)))
1.0ms	(pow (expm1 (/ (+ x y) (- x y))) 3)

series591.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(log1p (cbrt (pow (expm1 (/ (+ x y) (- x y))) 3)))
90.0ms	(cbrt (pow (expm1 (/ (+ x y) (- x y))) 3))
89.0ms	(expm1 (/ (+ x y) (- x y)))
312.0ms	(pow (expm1 (/ (+ x y) (- x y))) 3)

simplify136.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	139	517
1	488	469
2	3132	463
3	5001	463

prune147.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample540.0ms

Algorithm

intervals

Results

403.0ms

8000×

body

valid