Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

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)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

10.0ms	(/ x (+ x 1.0))
11.0ms	(/ 1.0 (- x 1.0))
68.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (+ x 1.0))
26.0ms	(/ 1.0 (- x 1.0))
118.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	400	551
1	1470	525
2	5001	521

prune219.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
67×	`times-frac`
39×	`distribute-lft-out`
34×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`fma-def`
16×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*` `difference-of-squares`
2×	`cube-mult` `unpow3` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

11.0ms	(/ x (+ x 1.0))
66.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
103.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
97.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

series456.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (+ x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
172.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
130.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	470	1012
1	1987	962
2	5001	956

prune286.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

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)))

rewrite404.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 293

Calls

4 calls:

13.0ms	(pow (/ x (+ x 1.0)) 3)
305.0ms	(pow (+ (pow (/ 1.0 (- x 1.0)) 3) (pow (/ x (+ x 1.0)) 3)) 3)
15.0ms	(pow (/ 1.0 (- x 1.0)) 3)
53.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(pow (/ x (+ x 1.0)) 3)
104.0ms	(pow (+ (pow (/ 1.0 (- x 1.0)) 3) (pow (/ x (+ x 1.0)) 3)) 3)
45.0ms	(pow (/ 1.0 (- x 1.0)) 3)
41.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1297	2399
1	5001	2132

prune696.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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

sample289.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid