Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize4.0ms

Local error

Found 1 expressions with local error:

13.6b

(/ x (+ (* x x) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

13.0ms

(/ x (+ (* x x) 1.0))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(/ x (+ (* x x) 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	165	210
1	555	195
2	1839	192
3	5001	192

prune62.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
0.0b	(/ x (sqrt (+ (* x x) 1.0)))
13.5b	(sqrt (+ (* x x) 1.0))
13.5b	(sqrt (+ (* x x) 1.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 262

Calls

4 calls:

40.0ms	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
14.0ms	(/ x (sqrt (+ (* x x) 1.0)))
12.0ms	(sqrt (+ (* x x) 1.0))
9.0ms	(sqrt (+ (* x x) 1.0))

series252.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
112.0ms	(/ x (sqrt (+ (* x x) 1.0)))
44.0ms	(sqrt (+ (* x x) 1.0))
39.0ms	(sqrt (+ (* x x) 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	774	3878
1	2962	3482
2	5001	3411

prune424.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

13.6b

(/ x (+ (* x x) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

13.0ms

(/ x (+ (* x x) 1.0))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ x (+ (* x x) 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	165	210
1	555	195
2	1839	192
3	5001	192

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.1b	(/ 1 (pow x 5))
0.2b	(/ 1 (pow x 3))
19.3b	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-sqr-sqrt`
173×	`times-frac`
112×	`*-un-lft-identity`
63×	`difference-of-squares`
56×	`unpow-prod-down`
47×	`add-cube-cbrt`
40×	`sqr-pow`
26×	`cube-prod`
22×	`add-exp-log`
19×	`associate-/r*`
12×	`div-exp`
8×	`add-cbrt-cube` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `div-inv` `associate-/l*`
4×	`pow1` `cube-mult` `associate-+l+` `unpow3`
3×	`sub-neg` `associate-*r/` `frac-add`
2×	`cbrt-undiv` `distribute-rgt-in` `flip3--` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `frac-sub` `flip--` `inv-pow`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 227

Calls

4 calls:

78.0ms	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
10.0ms	(/ 1 (pow x 5))
9.0ms	(/ 1 (pow x 3))
78.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
39.0ms	(/ 1 (pow x 5))
34.0ms	(/ 1 (pow x 3))
86.0ms	(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify86.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	687	2009
1	2879	1724
2	5001	1723

prune291.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch58.0ms

Steps

Iters	Range		Point
10	26.826342714152005	1.350953981158519e+19	3500.8467687195057
8	-40742292820.96068	-15359524.008108458	-24215928678.961597

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	12
1	34	12
2	34	12

end0.0ms

sample269.0ms

Algorithm

intervals

Results

146.0ms

8000×

body

valid