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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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))

simplify80.0ms

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

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

19.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))

series366.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
86.0ms	(cbrt (- 1.0 x))
87.0ms	(cbrt (- 1.0 x))
88.0ms	(cbrt (- 1.0 x))

simplify143.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4432	753
3	5001	749

prune261.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow 1.0 3) (pow x 3))
0.0b	(+ (* x x) (* 1.0 x))
6.0b	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
15.3b	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

311×	`add-sqr-sqrt`
268×	`*-un-lft-identity`
201×	`times-frac`
160×	`difference-of-squares`
120×	`unpow-prod-down` `cube-prod`
106×	`associate-l`
80×	`sqr-pow`
66×	`add-cube-cbrt`
51×	`distribute-lft-out`
50×	`distribute-lft-out--`
25×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`difference-cubes`
8×	`add-log-exp`
6×	`pow1`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-rgt-out` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

4 → 322

Calls

4 calls:

15.0ms	(- (pow 1.0 3) (pow x 3))
2.0ms	(+ (* x x) (* 1.0 x))
32.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
111.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (pow 1.0 3) (pow x 3))
55.0ms	(+ (* x x) (* 1.0 x))
49.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
62.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify142.0ms

Algorithm

egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1068	3520
1	4883	3400
2	5001	3400

prune588.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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

sample215.0ms

Algorithm

intervals

Results

129.0ms

8000×

body

valid