Details

sample9.0ms

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: 15.6b

localize4.0ms

Local error

Found 1 expressions with local error:

15.6b

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

rewrite7.0ms

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:

6.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify53.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (+ (* x x) 1.0))
15.4b	(* x (/ 1 (+ (* x x) 1.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 71

Calls

2 calls:

9.0ms	(/ 1 (+ (* x x) 1.0))
16.0ms	(* x (/ 1 (+ (* x x) 1.0)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 1 (+ (* x x) 1.0))
54.0ms	(* x (/ 1 (+ (* x x) 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	316	470
1	1443	410
2	5001	374

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.9b	(/ (cbrt x) (+ (* x x) 1.0))
11.5b	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`flip3-+` `pow1/3` `flip-+` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 110

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(/ (cbrt x) (+ (* x x) 1.0))
29.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt x)
181.0ms	(cbrt x)
123.0ms	(/ (cbrt x) (+ (* x x) 1.0))
73.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	514	995
1	2330	855
2	5002	821

prune260.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
0.2b	(/ 1 (pow x 5))
0.2b	(/ 1.0 (pow x 3))
19.1b	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
52×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`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×	`frac-sub` `add-cbrt-cube` `sqr-pow`
6×	`associate-/l*`
4×	`pow1` `cube-mult` `pow-to-exp` `diff-log` `unpow3` `pow-exp` `div-inv`
3×	`sub-neg` `rec-exp` `flip3--` `1-exp` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `associate--r+`
1×	`pow-flip` `inv-pow` `associate--r-`

Counts

4 → 158

Calls

4 calls:

55.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
4.0ms	(/ 1 (pow x 5))
4.0ms	(/ 1.0 (pow x 3))
32.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
41.0ms	(/ 1 (pow x 5))
40.0ms	(/ 1.0 (pow x 3))
123.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

simplify83.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	529	1089
1	2934	982
2	5001	977

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch70.0ms

Steps

Iters	Range		Point
11	0.08347146558812443	3.320253512051989e+22	509.7156046843299
10	-5.276190702543451e+18	-14583263.309321204	-62379821099783.21

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	12
1	31	12

end0.0ms

sample224.0ms

Algorithm

intervals

Results

137.0ms

8000×

body

valid