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

Filtered

1 candidates to 0 candidates (0.0%)

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))

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` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

11.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify86.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	214	315
1	711	297
2	2979	293
3	5001	292

prune80.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
23.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (- 1.0 x))
90.0ms	(cbrt (- 1.0 x))
89.0ms	(cbrt (- 1.0 x))
108.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify147.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	330	874
1	1075	833
2	4675	779
3	5001	775

prune331.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
0.0b	(/ (+ x 1.0) (- 1.0 x))
2.4b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/l*`
3×	`pow1` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 69

Calls

3 calls:

0.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
15.0ms	(/ (+ x 1.0) (- 1.0 x))
0.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series292.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
32.0ms	(/ (+ x 1.0) (- 1.0 x))
107.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	378	521
1	1270	479
2	5001	451

prune166.0ms

Filtered

78 candidates to 58 candidates (74.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
4.5b	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
18.3b	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
201×	`times-frac`
144×	`difference-of-squares`
108×	`unpow-prod-down` `cube-prod`
106×	`associate-l`
72×	`sqr-pow`
65×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`difference-cubes`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-rgt-out` `fma-def` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

3 → 295

Calls

3 calls:

3.0ms	(+ (* x x) (* 1.0 x))
36.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
115.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series178.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* x x) (* 1.0 x))
52.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
71.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify65.0ms

Algorithm

egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1089	3300
1	5001	3199

prune597.0ms

Filtered

304 candidates to 155 candidates (51.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes28.0ms

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