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: 17.1b

localize4.0ms

Local error

Found 1 expressions with local error:

17.1b

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

rewrite13.0ms

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:

12.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(/ 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

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* x x) 3)
0.4b	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
14.6b	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
26.7b	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
21×	`associate-l`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
7×	`sum-cubes` `distribute-lft-out`
6×	`pow-pow`
5×	`flip3-+` `associate-/r*` `flip-+`
4×	`associate-/r/`
3×	`pow-unpow` `associate-r` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-+r+` `associate-*r/` `div-exp` `pow-prod-down` `pow-exp` `sum-log` `div-inv` `rem-cube-cbrt` `unswap-sqr`
1×	`+-commutative` `pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `associate-+r-` `sub-neg` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `unpow3` `cube-prod` `associate-l/` `clear-num` `pow-sqr` `-commutative` `pow-prod-up` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

6.0ms	(pow (* x x) 3)
26.0ms	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
35.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
183.0ms	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series386.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(pow (* x x) 3)
197.0ms	(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
41.0ms	(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
105.0ms	(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify99.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	663	1457
1	3386	1271
2	5001	1252

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
0.1b	(/ 1 (pow x 3))
0.2b	(/ 1 (pow x 5))
19.9b	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

14.0ms	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
9.0ms	(/ 1 (pow x 3))
8.0ms	(/ 1 (pow x 5))
118.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series190.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
28.0ms	(/ 1 (pow x 3))
43.0ms	(/ 1 (pow x 5))
38.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify83.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	505	1088
1	2799	894
2	5002	886

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch47.0ms

Steps

Iters	Range		Point
8	3.618674152218468	3974.013529084827	730.8537816627762
5	-245174641557899.47	-70725786023593.1	-172600413441418.5

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	23
1	43	23

end0.0ms

sample255.0ms

Algorithm

intervals

Results

136.0ms

8000×

body

valid