Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

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))

rewrite15.0ms

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:

14.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (14.0ms)

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

prune60.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

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))

rewrite97.0ms

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:

43.0ms	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
18.0ms	(/ x (sqrt (+ (* x x) 1.0)))
10.0ms	(sqrt (+ (* x x) 1.0))
10.0ms	(sqrt (+ (* x x) 1.0))

series262.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
116.0ms	(/ x (sqrt (+ (* x x) 1.0)))
46.0ms	(sqrt (+ (* x x) 1.0))
41.0ms	(sqrt (+ (* x x) 1.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 2 (48.0ms)

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

prune418.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

13.6b

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

rewrite15.0ms

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:

14.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify57.0ms

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

prune55.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

57×	`times-frac`
47×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
19×	`associate-/r*`
18×	`add-exp-log`
12×	`cube-prod`
11×	`add-log-exp`
9×	`div-exp`
8×	`add-cbrt-cube` `sqr-pow`
6×	`associate-/l*`
4×	`pow1` `cube-mult` `pow-to-exp` `unpow3` `frac-add` `pow-exp` `frac-sub`
3×	`rec-exp` `1-exp`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `flip3--` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `flip--` `div-inv`
1×	`+-commutative` `associate-+l-` `pow-flip` `flip3-+` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 152

Calls

4 calls:

20.0ms	(- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))
9.0ms	(/ 1.0 (pow x 5))
17.0ms	(/ 1 (pow x 3))
86.0ms	(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (/ 1 x) (* 1.0 (/ 1 (pow x 3))))
46.0ms	(/ 1.0 (pow x 5))
36.0ms	(/ 1 (pow x 3))
43.0ms	(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

simplify77.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	492	977
1	2700	842
2	5002	833

prune283.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

100% (0.0b remaining)

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

bsearch54.0ms

Steps

Iters	Range		Point
10	26.826342714152005	1.350953981158519e+19	3853.5751336494986
8	-40742292820.96068	-15359524.008108458	-24215928678.961597

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample250.0ms

Algorithm

intervals

Results

135.0ms

8000×

body

valid