Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

11.0ms

(/ (+ x 1.0) (- 1.0 x))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify79.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	205	309
1	681	292
2	2801	286
3	5002	286

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

11.0ms	(/ (+ x 1.0) (- 1.0 x))
12.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)
13.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))

series120.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 1.0) (- 1.0 x))
57.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)
32.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	552	1470
1	2447	1369
2	5001	1357

prune246.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.0b	(pow (* (+ x 1.0) (/ 1 (- 1.0 x))) 3)
0.0b	(cbrt (pow (* (+ x 1.0) (/ 1 (- 1.0 x))) 3))
0.1b	(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`times-frac`
27×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
17×	`add-cbrt-cube`
12×	`cube-div`
10×	`pow1`
8×	`cbrt-prod` `prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`frac-times` `cbrt-div` `flip3-+` `div-exp` `associate-*l/` `flip-+`
5×	`pow-exp` `associate-/r*`
4×	`associate-l` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow-unpow` `1-exp` `associate-r/` `un-div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-mult` `unpow-prod-down` `flip3--` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `flip--` `div-inv` `sqr-pow`
1×	`pow-to-exp` `pow-flip` `frac-2neg` `pow1/3` `clear-num` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `inv-pow`

Counts

4 → 145

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 x))
12.0ms	(pow (* (+ x 1.0) (/ 1 (- 1.0 x))) 3)
2.0ms	(cbrt (pow (* (+ x 1.0) (/ 1 (- 1.0 x))) 3))
24.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- 1.0 x))
60.0ms	(pow (* (+ x 1.0) (/ 1 (- 1.0 x))) 3)
33.0ms	(cbrt (pow (* (+ x 1.0) (/ 1 (- 1.0 x))) 3))
34.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	526	883
1	2630	751
2	5002	749

prune278.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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	6	3
1	6	3

end0.0ms

sample224.0ms

Algorithm

intervals

Results

135.0ms

8000×

body

valid