Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite13.0ms

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:

12.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (16.0ms)

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

prune87.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

19.0ms	(exp (/ (+ x y) (- x y)))
11.0ms	(/ (+ x y) (- x y))
21.0ms	(log (exp (/ (+ x y) (- x y))))

series208.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(exp (/ (+ x y) (- x y)))
65.0ms	(/ (+ x y) (- x y))
63.0ms	(log (exp (/ (+ x y) (- x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	244	686
1	627	649
2	1742	640
3	5001	637

prune258.0ms

Filtered

132 candidates to 90 candidates (68.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:

0.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
11.0ms	(/ (+ x y) (- x y))
0.0ms	(expm1 (/ (+ x y) (- x y)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
67.0ms	(/ (+ x y) (- x y))
94.0ms	(expm1 (/ (+ x y) (- x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (15.0ms)

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

prune162.0ms

Filtered

78 candidates to 56 candidates (71.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
40×	`times-frac`
27×	`log-pow`
26×	`add-cube-cbrt` `exp-prod`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `log1p-expm1-u`
4×	`expm1-log1p-u` `associate-/r/` `associate-/l*` `add-log-exp`
3×	`log-prod`
2×	`flip3--` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `rem-log-exp` `clear-num` `flip-+` `expm1-udef`

Counts

4 → 109

Calls

4 calls:

0.0ms	(log1p (expm1 (log (exp (/ (+ x y) (- x y))))))
11.0ms	(/ (+ x y) (- x y))
21.0ms	(log (exp (/ (+ x y) (- x y))))
0.0ms	(expm1 (log (exp (/ (+ x y) (- x y)))))

series334.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(log1p (expm1 (log (exp (/ (+ x y) (- x y))))))
68.0ms	(/ (+ x y) (- x y))
68.0ms	(log (exp (/ (+ x y) (- x y))))
95.0ms	(expm1 (log (exp (/ (+ x y) (- x y)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	264	634
1	650	583
2	1758	576
3	5002	576

prune274.0ms

Filtered

121 candidates to 85 candidates (70.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

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	8	5
1	8	5

end0.0ms

sample273.0ms

Algorithm

intervals

Results

147.0ms

8000×

body

valid