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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

7.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (79.0ms)

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

prune72.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0.0b

Counts

51 → 3

localize7.0ms

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))
4.1b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite13.0ms

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` `log1p-expm1-u` `associate-/l*`
3×	`pow1` `add-log-exp`
2×	`expm1-log1p` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `flip3--` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 70

Calls

3 calls:

1.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
8.0ms	(/ (+ x 1.0) (- 1.0 x))
3.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
31.0ms	(/ (+ x 1.0) (- 1.0 x))
103.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (31.0ms)

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

prune161.0ms

Filtered

79 candidates to 58 candidates (73.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(sqrt (+ x 1.0))
0.1b	(/ (sqrt (+ x 1.0)) (- 1.0 x))
0.1b	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity`
113×	`add-sqr-sqrt`
74×	`times-frac`
73×	`sqrt-prod`
55×	`add-cube-cbrt`
48×	`sqrt-div`
41×	`associate-r`
34×	`frac-times`
29×	`associate-/l*`
24×	`flip3-+` `flip-+`
20×	`associate-/r*`
18×	`distribute-lft-out--` `difference-of-squares`
17×	`associate-*r/` `distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `associate-/l/`
7×	`associate-l`
6×	`unswap-sqr`
5×	`clear-num`
4×	`expm1-log1p-u` `frac-2neg` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `prod-exp` `un-div-inv` `flip--` `cbrt-unprod` `hypot-def` `div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 227

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
4.0ms	(sqrt (+ x 1.0))
8.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
25.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ x 1.0))
29.0ms	(sqrt (+ x 1.0))
93.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
36.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	637	2071
1	2637	1909
2	5001	1827

prune408.0ms

Filtered

239 candidates to 145 candidates (60.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	238	1	239
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	239	3	242

Merged error: 0b

Counts

242 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (+ x 1.0)) (- 1.0 x))
0.1b	(* (cbrt (pow (sqrt (+ x 1.0)) 3)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
0.2b	(pow (sqrt (+ x 1.0)) 3)
4.9b	(cbrt (pow (sqrt (+ x 1.0)) 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

156×	`add-sqr-sqrt`
145×	`*-un-lft-identity`
93×	`sqrt-prod`
84×	`times-frac`
67×	`add-cube-cbrt`
58×	`cbrt-prod`
48×	`sqrt-div`
41×	`associate-r`
40×	`cube-div`
38×	`cbrt-div`
34×	`frac-times`
29×	`associate-/l*`
27×	`unpow-prod-down` `cube-prod`
24×	`flip3-+` `flip-+`
23×	`associate-l`
21×	`unswap-sqr`
20×	`associate-/r*` `distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
17×	`associate-*r/`
15×	`add-cbrt-cube`
12×	`add-exp-log`
8×	`pow1` `associate-/l/`
6×	`sqr-pow`
5×	`clear-num`
4×	`expm1-log1p-u` `pow-unpow` `frac-2neg` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cube-mult` `pow-pow` `unpow3`
2×	`flip3--` `div-exp` `associate-*l/` `prod-exp` `un-div-inv` `flip--` `rem-cbrt-cube` `div-inv`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `pow-prod-down` `pow-exp` `*-commutative` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 294

Calls

4 calls:

8.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
34.0ms	(* (cbrt (pow (sqrt (+ x 1.0)) 3)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
5.0ms	(pow (sqrt (+ x 1.0)) 3)
6.0ms	(cbrt (pow (sqrt (+ x 1.0)) 3))

series225.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
32.0ms	(* (cbrt (pow (sqrt (+ x 1.0)) 3)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
70.0ms	(pow (sqrt (+ x 1.0)) 3)
31.0ms	(cbrt (pow (sqrt (+ x 1.0)) 3))

simplify142.0ms

Algorithm

egg-herbie

Counts

306 → 306

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	850	2782
1	4372	2330
2	5001	2325

prune501.0ms

Filtered

306 candidates to 164 candidates (53.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	306	3	309

Merged error: 0b

Counts

309 → 3

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	6	3
1	6	3

end0.0ms

sample214.0ms

Algorithm

intervals

Results

131.0ms

8000×

body

valid