Details

sample15.0ms

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: 9.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.5b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite49.0ms

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:

31.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (44.0ms)

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

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite50.0ms

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:

22.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (55.0ms)

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

prune259.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
11.5b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

29.0ms	(* x (+ (/ x y) 1.0))
55.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* x (+ (/ x y) 1.0))
76.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
75.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	530	932
1	3087	795
2	5001	794

prune191.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ x y) 3)
0.3b	(* (/ x y) (/ x y))
1.0b	(* x (+ (pow (/ x y) 3) (pow 1.0 3)))
18.0b	(/ (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 (/ x y))) (* (/ x y) (/ x y))) (+ x 1.0)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
59×	`*-un-lft-identity` `times-frac`
49×	`add-cube-cbrt`
33×	`add-exp-log` `add-cbrt-cube`
31×	`associate-*r/`
26×	`associate-/r/`
23×	`frac-times`
22×	`associate-r`
18×	`frac-add`
17×	`unpow-prod-down` `cube-prod`
16×	`associate-l`
15×	`associate-*l/`
14×	`pow1` `flip3-+` `flip-+`
13×	`swap-sqr`
9×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod`
7×	`div-inv`
5×	`distribute-lft-out` `unswap-sqr`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down` `pow-exp` `*-commutative` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `pow-plus` `unpow3` `clear-num` `associate-/r` `pow-sqr` `sum-cubes` `pow-prod-up` `associate-/l` `sqr-pow`

Counts

4 → 190

Calls

4 calls:

4.0ms	(pow (/ x y) 3)
13.0ms	(* (/ x y) (/ x y))
129.0ms	(* x (+ (pow (/ x y) 3) (pow 1.0 3)))
63.0ms	(/ (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 (/ x y))) (* (/ x y) (/ x y))) (+ x 1.0)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(pow (/ x y) 3)
26.0ms	(* (/ x y) (/ x y))
89.0ms	(* x (+ (pow (/ x y) 3) (pow 1.0 3)))
96.0ms	(/ (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 (/ x y))) (* (/ x y) (/ x y))) (+ x 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1286	1907
1	5002	1676

prune498.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes52.0ms

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

sample352.0ms

Algorithm

intervals

Results

218.0ms

9145×

body

valid