Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

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))

rewrite26.0ms

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:

24.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify2.5s

Counts

50 → 50

Iterations

Useful iterations: 3 (306.0ms)

Iter	Nodes	Cost
0	93	646
1	215	616
2	569	584
3	1349	573
4	3656	573
done	5000	573

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

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))
2.6b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite30.0ms

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))))
26.0ms	(/ (+ x 1.0) (- 1.0 x))
0.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
32.0ms	(/ (+ x 1.0) (- 1.0 x))
106.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	160	1068
1	378	998
2	1025	907
3	2933	871
done	5000	857

prune169.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.5b	(pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3)
0.5b	(cbrt (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3))
2.6b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
20×	`times-frac`
12×	`cbrt-prod`
7×	`add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `distribute-lft-out`
5×	`pow1` `expm1-log1p-u` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `log1p-udef` `flip3--` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `log1p-expm1` `div-exp` `pow-exp` `clear-num` `flip--` `rem-cbrt-cube` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 106

Calls

4 calls:

24.0ms	(/ (+ x 1.0) (- 1.0 x))
3.0ms	(pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3)
2.0ms	(cbrt (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3))
0.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (+ x 1.0) (- 1.0 x))
188.0ms	(pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3)
106.0ms	(cbrt (pow (log1p (/ (+ x 1.0) (- 1.0 x))) 3))
106.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify1.0s

Counts

118 → 118

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	264	2065
1	702	1819
2	2246	1675
done	5001	1654

prune299.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (- (/ 2.0 (* x x))) (+ (/ 1.0 x) 1.0) (- -1 (/ 2.0 x)))
0.4b	(/ 2.0 (* x x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/l*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `fma-udef` `div-inv`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (- (/ 2.0 (* x x))) (+ (/ 1.0 x) 1.0) (- -1 (/ 2.0 x)))
8.0ms	(/ 2.0 (* x x))

series65.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (- (/ 2.0 (* x x))) (+ (/ 1.0 x) 1.0) (- -1 (/ 2.0 x)))
31.0ms	(/ 2.0 (* x x))

simplify1.2s

Counts

39 → 39

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	75	479
1	167	461
2	477	398
3	1852	396
done	5000	395

prune84.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	11	12
done	11	12

end0.0ms

sample240.0ms

Algorithm

intervals

Results

129.0ms

8000×

body

valid