Details

sample67.0ms

Algorithm

intervals

Results

24.0ms	88×	body	1280	valid
19.0ms	90×	body	10240	exit
9.0ms	50×	body	640	valid
4.0ms	31×	body	320	valid
3.0ms	79×	body	80	valid
1.0ms	9×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1))
3.3b	(- (exp x) 1)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 80

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1))
9.0ms	(- (exp x) 1)

series52.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

simplify948.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2000
2	607
1	258
0	126

prune256.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp x) (expm1 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

10.0ms

(/ (exp x) (expm1 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ (exp x) (expm1 x))

simplify620.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2000
3	768
2	310
1	118
0	60

prune112.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ 1 (expm1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`add-exp-log`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`pow1` `div-exp`
1×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-flip` `inv-pow` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

4.0ms

(/ 1 (expm1 x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ 1 (expm1 x))

simplify1.1s

Counts

37 → 37

Iterations

Iter	Nodes
done	2000
6	1748
5	958
4	491
3	290
2	174
1	108
0	60

prune74.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp x) (+ (fma 1/12 x -1/2) (/ 1 x)))
0.0b	(+ (fma 1/12 x -1/2) (/ 1 x))
0.1b	(fma 1/12 x -1/2)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `associate-r` `add-log-exp`
4×	`add-exp-log` `distribute-lft-out`
3×	`expm1-log1p-u` `fma-def` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `associate-*r/` `flip-+` `fma-udef` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

23.0ms	(* (exp x) (+ (fma 1/12 x -1/2) (/ 1 x)))
7.0ms	(+ (fma 1/12 x -1/2) (/ 1 x))
0.0ms	(fma 1/12 x -1/2)

series78.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (exp x) (+ (fma 1/12 x -1/2) (/ 1 x)))
16.0ms	(+ (fma 1/12 x -1/2) (/ 1 x))
38.0ms	(fma 1/12 x -1/2)

simplify678.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	2001
2	968
1	228
0	83

prune256.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2604×	body	10240	exit
1.1s	2316×	body	1280	valid
535.0ms	1638×	body	640	valid
181.0ms	2782×	body	80	valid
152.0ms	831×	body	320	valid
51.0ms	435×	body	160	valid