Details

sample261.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) 10.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`distribute-lft-out` `associate-/l*`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

10.0ms

(/ (+ x y) 10.0)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(/ (+ x y) 10.0)

simplify80.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	137	168
1	405	158
2	1074	158
3	3557	157
4	5002	157

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
0.4b	(/ (+ x y) (sqrt 10.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-sqr-sqrt`
88×	`times-frac`
79×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
28×	`associate-r`
26×	`add-exp-log`
22×	`associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`distribute-lft-out`
9×	`div-exp`
8×	`prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod` `associate-/l*`
3×	`div-inv`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip-+`

Counts

2 → 141

Calls

2 calls:

33.0ms	(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
8.0ms	(/ (+ x y) (sqrt 10.0))

series236.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
89.0ms	(/ (+ x y) (sqrt 10.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	473	1199
1	2928	1050
2	5001	873

prune201.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (+ x y) (sqrt (sqrt 10.0)))
0.4b	(* (/ (/ 1 (sqrt 10.0)) (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

588×	`times-frac`
493×	`add-sqr-sqrt`
492×	`sqrt-prod`
295×	`*-un-lft-identity`
233×	`add-cube-cbrt`
202×	`associate-l`
64×	`unswap-sqr`
40×	`associate-r`
39×	`add-exp-log`
25×	`add-cbrt-cube`
19×	`distribute-lft-out`
18×	`div-exp`
12×	`div-inv`
10×	`cbrt-undiv` `prod-exp`
9×	`associate-/r*`
6×	`cbrt-unprod`
4×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip-+`

Counts

2 → 401

Calls

2 calls:

9.0ms	(/ (+ x y) (sqrt (sqrt 10.0)))
164.0ms	(* (/ (/ 1 (sqrt 10.0)) (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0))))

series304.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(/ (+ x y) (sqrt (sqrt 10.0)))
152.0ms	(* (/ (/ 1 (sqrt 10.0)) (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

407 → 407

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1068	5577
1	5001	4900

prune672.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (+ x y) (sqrt (cbrt (sqrt 10.0))))
1.0b	(/ 1 (/ (fabs (cbrt (sqrt 10.0))) 1))
1.0b	(cbrt (sqrt 10.0))
1.0b	(cbrt (sqrt 10.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
109×	`*-un-lft-identity`
83×	`add-sqr-sqrt` `add-cube-cbrt`
66×	`sqrt-prod`
42×	`cbrt-prod`
25×	`associate-/r*`
21×	`add-exp-log`
13×	`div-exp` `distribute-lft-out`
11×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`1-exp` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp`
2×	`frac-2neg` `pow1/3` `clear-num` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 193

Calls

4 calls:

14.0ms	(/ (+ x y) (sqrt (cbrt (sqrt 10.0))))
5.0ms	(/ 1 (/ (fabs (cbrt (sqrt 10.0))) 1))
1.0ms	(cbrt (sqrt 10.0))
1.0ms	(cbrt (sqrt 10.0))

series287.0ms

Counts

4 → 6

Calls

4 calls:

287.0ms	(/ (+ x y) (sqrt (cbrt (sqrt 10.0))))
0.0ms	(/ 1 (/ (fabs (cbrt (sqrt 10.0))) 1))
0.0ms	(cbrt (sqrt 10.0))
0.0ms	(cbrt (sqrt 10.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	520	1825
1	1804	1660
2	4846	1511
3	5001	1511

prune405.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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	6	2
1	6	2

end0.0ms

sample239.0ms

Algorithm

intervals

Results

120.0ms

8000×

body

valid