Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite16.0ms

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:

14.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify48.0ms

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

prune84.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 178

Calls

2 calls:

16.0ms	(/ 1 (/ (- x y) (+ x y)))
12.0ms	(/ (- x y) (+ x y))

series124.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ 1 (/ (- x y) (+ x y)))
60.0ms	(/ (- x y) (+ x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	495	1481
1	2224	1328
2	5001	1183

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (log1p (expm1 (/ (- x y) (+ x y)))))
0.0b	(log1p (expm1 (/ (- x y) (+ x y))))
0.0b	(/ (- x y) (+ x y))
0.4b	(expm1 (/ (- x y) (+ x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
29×	`times-frac`
23×	`add-cube-cbrt`
10×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
7×	`associate-/r*`
6×	`distribute-lft-out`
5×	`pow1` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `associate-/l/`
1×	`rec-exp` `log1p-udef` `expm1-log1p` `flip3--` `pow-flip` `flip3-+` `1-exp` `div-sub` `log1p-expm1` `flip--` `flip-+` `inv-pow` `expm1-udef`

Counts

4 → 103

Calls

4 calls:

2.0ms	(/ 1 (log1p (expm1 (/ (- x y) (+ x y)))))
0.0ms	(log1p (expm1 (/ (- x y) (+ x y))))
12.0ms	(/ (- x y) (+ x y))
0.0ms	(expm1 (/ (- x y) (+ x y)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ 1 (log1p (expm1 (/ (- x y) (+ x y)))))
99.0ms	(log1p (expm1 (/ (- x y) (+ x y))))
64.0ms	(/ (- x y) (+ x y))
89.0ms	(expm1 (/ (- x y) (+ x y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	288	728
1	852	620
2	2794	597
3	5001	590

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))
0.0b	(/ (- x y) (+ x y))
0.4b	(expm1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
60×	`times-frac`
37×	`add-cube-cbrt`
18×	`distribute-lft-out`
15×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l/`
5×	`log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 155

Calls

4 calls:

11.0ms	(/ (- x y) (+ x y))
12.0ms	(/ (- x y) (+ x y))
12.0ms	(/ (- x y) (+ x y))
0.0ms	(expm1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (- x y) (+ x y))
63.0ms	(/ (- x y) (+ x y))
67.0ms	(/ (- x y) (+ x y))
109.0ms	(expm1 (* (* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y)))) (cbrt (/ (- x y) (+ x y)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	217	1099
1	584	1017
2	1954	1004
3	5002	984

prune432.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

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

sample482.0ms

Algorithm

intervals

Results

354.0ms

8000×

body

valid