Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

12.0ms	(/ x (+ x 1.0))
12.0ms	(/ 1.0 (- x 1.0))
73.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ x (+ x 1.0))
27.0ms	(/ 1.0 (- x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune171.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
52×	`times-frac`
39×	`distribute-lft-out`
22×	`cbrt-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
10×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

12.0ms	(/ x (+ x 1.0))
71.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
120.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
113.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

series477.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ x (+ x 1.0))
122.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
181.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
134.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	446	980
1	1901	935
2	5003	927

prune229.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ x (+ x 1.0)) 3)
0.0b	(pow (+ (pow (/ 1.0 (- x 1.0)) 3) (pow (/ x (+ x 1.0)) 3)) 3)
0.1b	(pow (/ 1.0 (- x 1.0)) 3)
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

329×	`*-un-lft-identity`
194×	`times-frac`
131×	`add-sqr-sqrt`
104×	`unpow-prod-down` `cube-prod`
83×	`add-cube-cbrt`
64×	`distribute-lft-out`
40×	`distribute-lft-out--`
27×	`swap-sqr`
23×	`add-exp-log` `add-cbrt-cube`
21×	`associate-r` `associate-l`
18×	`difference-of-squares`
16×	`associate-/r/`
14×	`pow1`
9×	`pow-unpow`
8×	`div-inv`
7×	`cube-div`
6×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
5×	`pow-exp` `rem-cube-cbrt`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cube-mult` `pow-to-exp` `pow-pow` `flip3-+` `unpow3` `flip-+` `sqr-pow`
2×	`sum-cubes`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 285

Calls

4 calls:

16.0ms	(pow (/ x (+ x 1.0)) 3)
364.0ms	(pow (+ (pow (/ 1.0 (- x 1.0)) 3) (pow (/ x (+ x 1.0)) 3)) 3)
16.0ms	(pow (/ 1.0 (- x 1.0)) 3)
63.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(pow (/ x (+ x 1.0)) 3)
108.0ms	(pow (+ (pow (/ 1.0 (- x 1.0)) 3) (pow (/ x (+ x 1.0)) 3)) 3)
54.0ms	(pow (/ 1.0 (- x 1.0)) 3)
38.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1265	2364
1	5002	2108

prune705.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample316.0ms

Algorithm

intervals

Results

188.0ms

8000×

body

valid