Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:

28.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (21.0ms)

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

prune94.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.1b	(pow (/ (+ x y) (- x y)) 3)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 191

Calls

3 calls:

24.0ms	(/ (+ x y) (- x y))
21.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
25.0ms	(pow (/ (+ x y) (- x y)) 3)

series228.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (+ x y) (- x y))
87.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
76.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify83.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	493	1433
1	2148	1337
2	5001	1319

prune315.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (log1p (expm1 (/ (+ x y) (- x y)))) 3))
0.0b	(log1p (expm1 (/ (+ x y) (- x y))))
0.1b	(pow (log1p (expm1 (/ (+ x y) (- x y)))) 3)
0.5b	(expm1 (/ (+ x y) (- x y)))

rewrite8.0ms

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` `add-cbrt-cube` `log1p-expm1-u`
4×	`expm1-log1p-u` `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:

2.0ms	(cbrt (pow (log1p (expm1 (/ (+ x y) (- x y)))) 3))
0.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
3.0ms	(pow (log1p (expm1 (/ (+ x y) (- x y)))) 3)
1.0ms	(expm1 (/ (+ x y) (- x y)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (pow (log1p (expm1 (/ (+ x y) (- x y)))) 3))
101.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
117.0ms	(pow (log1p (expm1 (/ (+ x y) (- x y)))) 3)
100.0ms	(expm1 (/ (+ x y) (- x y)))

simplify168.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	126	541
1	434	443
2	3172	427
3	5001	427

prune196.0ms

Pruning

3 alts after pruning (3 fresh and 0 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)))

rewrite28.0ms

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:

25.0ms	(/ (+ x y) (- x y))
0.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
1.0ms	(expm1 (/ (+ x y) (- x y)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (+ x y) (- x y))
100.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
96.0ms	(expm1 (/ (+ x y) (- x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	204	414
1	569	384
2	1580	380
3	5002	380

prune184.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

end0.0ms

sample305.0ms

Algorithm

intervals

Results

141.0ms

8000×

body

valid