Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

291×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	27	5
2	40	5
3	47	5
4	63	5
5	75	5
6	106	5
7	112	5
8	118	5
9	122	5
10	130	5
11	402	5
12	2605	5
13	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

46.0ms	(* x (+ (/ x y) 1.0))
32.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	296	332
1	1504	285
2	5001	283

prune100.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

37.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
36.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
71.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	494	1442
1	2344	1386
2	5002	1384

prune241.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ x y)) (* x 1.0))
0.2b	(* x (/ x y))
8.3b	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `times-frac`
21×	`add-cube-cbrt`
13×	`associate-r`
11×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 84

Calls

3 calls:

11.0ms	(+ (* x (/ x y)) (* x 1.0))
13.0ms	(* x (/ x y))
39.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series90.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (* x (/ x y)) (* x 1.0))
18.0ms	(* x (/ x y))
43.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	390	634
1	1859	571
2	5001	566

prune159.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (pow x 2) (/ 1 y)) (* x 1.0))
7.1b	(* (pow x 2) (/ 1 y))
8.3b	(/ (+ (* (pow x 2) (/ 1 y)) (* x 1.0)) (+ x 1.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`times-frac`
28×	`add-exp-log`
21×	`add-cube-cbrt`
13×	`associate-r`
12×	`prod-exp` `unswap-sqr`
10×	`add-cbrt-cube`
8×	`associate-l`
7×	`div-exp`
6×	`unpow-prod-down`
5×	`add-log-exp`
4×	`pow-to-exp` `pow-exp` `associate-/r*` `distribute-lft-out` `unpow2` `sqr-pow`
3×	`pow1` `rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-r/` `clear-num` `sum-log` `un-div-inv` `-commutative`

Counts

3 → 103

Calls

3 calls:

13.0ms	(+ (* (pow x 2) (/ 1 y)) (* x 1.0))
21.0ms	(* (pow x 2) (/ 1 y))
42.0ms	(/ (+ (* (pow x 2) (/ 1 y)) (* x 1.0)) (+ x 1.0))

series92.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* (pow x 2) (/ 1 y)) (* x 1.0))
19.0ms	(* (pow x 2) (/ 1 y))
44.0ms	(/ (+ (* (pow x 2) (/ 1 y)) (* x 1.0)) (+ x 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	478	860
1	1963	722
2	5002	699

prune196.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample452.0ms

Algorithm

intervals

Results

244.0ms

9133×

body

valid