Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

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

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))

rewrite15.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

10.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune116.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))

rewrite54.0ms

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×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

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

series206.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(log (exp (/ (+ x y) (- x y))))
74.0ms	(exp (/ (+ x y) (- x y)))
65.0ms	(/ (+ x y) (- x y))

simplify53.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	235	660
1	607	623
2	1640	614
3	5001	611

prune266.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
140×	`times-frac`
137×	`add-sqr-sqrt`
116×	`cbrt-prod`
79×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
61×	`exp-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+` `rem-exp-log`

Counts

4 → 254

Calls

4 calls:

57.0ms	(exp (cbrt (pow (/ (+ x y) (- x y)) 3)))
12.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
10.0ms	(/ (+ x y) (- x y))
12.0ms	(pow (/ (+ x y) (- x y)) 3)

series419.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(exp (cbrt (pow (/ (+ x y) (- x y)) 3)))
88.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
65.0ms	(/ (+ x y) (- x y))
71.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify74.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	526	1880
1	2210	1743
2	5001	1712

prune454.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-pow`
54×	`sqrt-pow1`
52×	`exp-prod`
50×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`log-prod`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`sqrt-prod`
4×	`flip3--` `flip--` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow1/2` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 176

Calls

4 calls:

10.0ms	(/ (+ x y) (- x y))
10.0ms	(/ (+ x y) (- x y))
21.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))
35.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (+ x y) (- x y))
66.0ms	(/ (+ x y) (- x y))
152.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))
147.0ms	(log (sqrt (exp (/ (+ x y) (- x y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	244	1140
1	607	1072
2	1629	1054
3	5001	1054

prune507.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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

sample265.0ms

Algorithm

intervals

Results

144.0ms

8000×

body

valid