Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

prune1.0ms

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))

rewrite26.0ms

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-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

24.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	192	297
1	547	283
2	1899	283
3	5001	280

prune80.0ms

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

rewrite101.0ms

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` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `div-sub` `flip-+` `log1p-expm1-u` `div-inv`
2×	`exp-diff` `associate-/l/`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--` `rem-exp-log`

Counts

3 → 126

Calls

3 calls:

33.0ms	(exp (/ (- x y) (+ x y)))
38.0ms	(log (exp (/ (- x y) (+ x y))))
24.0ms	(/ (- x y) (+ x y))

series212.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(exp (/ (- x y) (+ x y)))
66.0ms	(log (exp (/ (- x y) (+ x y))))
65.0ms	(/ (- x y) (+ x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	266	695
1	670	658
2	2184	654
3	5002	648

prune252.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ (- x y) (+ x y))))
0.0b	(log (exp (expm1 (log1p (/ (- x y) (+ x y))))))
0.0b	(/ (- x y) (+ x y))
2.7b	(log1p (/ (- x y) (+ x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

0.0ms	(expm1 (log1p (/ (- x y) (+ x y))))
3.0ms	(log (exp (expm1 (log1p (/ (- x y) (+ x y))))))
24.0ms	(/ (- x y) (+ x y))
1.0ms	(log1p (/ (- x y) (+ x y)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(expm1 (log1p (/ (- x y) (+ x y))))
155.0ms	(log (exp (expm1 (log1p (/ (- x y) (+ x y))))))
67.0ms	(/ (- x y) (+ x y))
92.0ms	(log1p (/ (- x y) (+ x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	262	544
1	656	499
2	2098	499
3	5002	490

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))
2.7b	(log1p (/ (- x y) (+ x y)))
2.7b	(log1p (/ (- x y) (+ x y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
40×	`times-frac`
26×	`add-cube-cbrt`
12×	`distribute-lft-out`
10×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
8×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`expm1-log1p-u`
4×	`pow1` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log1p-udef` `flip3--` `frac-2neg` `flip3-+` `div-sub` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 118

Calls

4 calls:

25.0ms	(/ (- x y) (+ x y))
27.0ms	(/ (- x y) (+ x y))
0.0ms	(log1p (/ (- x y) (+ x y)))
0.0ms	(log1p (/ (- x y) (+ x y)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- x y) (+ x y))
69.0ms	(/ (- x y) (+ x y))
93.0ms	(log1p (/ (- x y) (+ x y)))
94.0ms	(log1p (/ (- x y) (+ x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	214	732
1	589	686
2	1974	686
3	5002	680

prune503.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample304.0ms

Algorithm

intervals

Results

138.0ms

8000×

body

valid