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))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(/ (+ 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

prune73.0ms

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)))

rewrite11.0ms

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:

1.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
7.0ms	(/ (+ x 1.0) (- 1.0 x))
1.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
31.0ms	(/ (+ x 1.0) (- 1.0 x))
104.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify36.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (30.0ms)

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

prune151.0ms

Filtered

78 candidates to 58 candidates (74.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize6.0ms

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)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
98×	`add-sqr-sqrt`
74×	`times-frac`
61×	`sqrt-prod`
46×	`add-cube-cbrt`
41×	`associate-r`
15×	`distribute-lft-out--` `difference-of-squares`
14×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div`
8×	`pow1`
7×	`associate-l` `associate-/l*`
6×	`unswap-sqr`
5×	`flip3-+` `associate-/r*` `flip-+`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `hypot-def` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 177

Calls

4 calls:

3.0ms	(sqrt (+ x 1.0))
3.0ms	(sqrt (+ x 1.0))
8.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
20.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(sqrt (+ x 1.0))
28.0ms	(sqrt (+ x 1.0))
91.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
34.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	505	1465
1	1994	1326
2	5002	1252

prune313.0ms

Filtered

189 candidates to 117 candidates (61.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	189	3	192

Merged error: 0b

Counts

192 → 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))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

141×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
84×	`times-frac`
81×	`sqrt-prod`
58×	`cbrt-prod` `add-cube-cbrt`
41×	`associate-r`
27×	`unpow-prod-down` `cube-prod`
23×	`associate-l`
21×	`unswap-sqr`
17×	`distribute-lft-out`
15×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
10×	`sqrt-div` `add-cbrt-cube`
8×	`pow1` `cube-div`
7×	`associate-/l*`
6×	`cbrt-div` `sqr-pow`
5×	`flip3-+` `associate-/r*` `flip-+`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`pow-to-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `pow1/3` `associate-r/` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 241

Calls

4 calls:

8.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
33.0ms	(* (cbrt (pow (sqrt (+ x 1.0)) 3)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
5.0ms	(pow (sqrt (+ x 1.0)) 3)
5.0ms	(cbrt (pow (sqrt (+ x 1.0)) 3))

series225.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
31.0ms	(* (cbrt (pow (sqrt (+ x 1.0)) 3)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
67.0ms	(pow (sqrt (+ x 1.0)) 3)
29.0ms	(cbrt (pow (sqrt (+ x 1.0)) 3))

simplify112.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	697	2118
1	3510	1766
2	5001	1699

prune399.0ms

Filtered

253 candidates to 131 candidates (51.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	253	3	256

Merged error: 0b

Counts

256 → 3

regimes22.0ms

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

sample208.0ms

Algorithm

intervals

Results

126.0ms

8000×

body

valid