Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (14.0ms)

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

prune83.0ms

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

rewrite56.0ms

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:

21.0ms	(log (exp (/ (+ x y) (- x y))))
18.0ms	(exp (/ (+ x y) (- x y)))
11.0ms	(/ (+ x y) (- x y))

series204.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(log (exp (/ (+ x y) (- x y))))
79.0ms	(exp (/ (+ x y) (- x y)))
61.0ms	(/ (+ x y) (- x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (42.0ms)

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

prune259.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (pow (exp (/ (+ x y) (- x y))) 1))
0.0b	(exp (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 103

Calls

3 calls:

11.0ms	(log (pow (exp (/ (+ x y) (- x y))) 1))
21.0ms	(exp (/ (+ x y) (- x y)))
11.0ms	(/ (+ x y) (- x y))

series203.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(log (pow (exp (/ (+ x y) (- x y))) 1))
74.0ms	(exp (/ (+ x y) (- x y)))
66.0ms	(/ (+ x y) (- x y))

simplify83.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	264	621
1	834	561
2	3099	557
3	5002	552

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

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

Counts

4 → 83

Calls

4 calls:

0.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
1.0ms	(exp (log1p (expm1 (/ (+ x y) (- x y)))))
10.0ms	(/ (+ x y) (- x y))
0.0ms	(expm1 (/ (+ x y) (- x y)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(log1p (expm1 (/ (+ x y) (- x y))))
110.0ms	(exp (log1p (expm1 (/ (+ x y) (- x y)))))
61.0ms	(/ (+ x y) (- x y))
104.0ms	(expm1 (/ (+ x y) (- x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	221	511
1	598	471
2	1627	467
3	5001	467

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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	12	6
1	12	6

end0.0ms

sample265.0ms

Algorithm

intervals

Results

144.0ms

8000×

body

valid