Details

sample80.0ms

Algorithm

intervals

Results

22.0ms	63×	body	1280	valid
19.0ms	74×	body	10240	exit
14.0ms	61×	body	640	valid
5.0ms	29×	body	320	valid
4.0ms	93×	body	80	valid
1.0ms	10×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.6b	(- (exp x) 1.0)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

35.0ms	(/ (exp x) (- (exp x) 1.0))
24.0ms	(- (exp x) 1.0)

series61.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (exp x) (- (exp x) 1.0))
25.0ms	(- (exp x) 1.0)

simplify717.0ms

Counts

73 → 73

Iterations

Useful iterations: done (715.0ms)

Iter	Nodes	Cost
0	117	900
1	254	793
2	896	708
done	5000	690

prune179.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x (/ 1 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/12 x (/ 1 x))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(fma 1/12 x (/ 1 x))

simplify1.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	16	108
1	24	105
2	70	93
3	280	93
4	1370	93
done	5000	93

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.6b	(- 1 (/ 1.0 (exp x)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
70×	`times-frac`
59×	`add-cube-cbrt`
39×	`prod-diff`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`div-inv` `distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 145

Calls

3 calls:

44.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms	(/ 1.0 (exp x))
38.0ms	(- 1 (/ 1.0 (exp x)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
15.0ms	(/ 1.0 (exp x))
43.0ms	(- 1 (/ 1.0 (exp x)))

simplify2.6s

Counts

154 → 154

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	257	3113
1	608	2598
2	2405	2085
done	5000	1772

prune298.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 1/12 x (/ 1 x))
1.8b	(expm1 (log1p (fma 1/12 x (/ 1 x))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`expm1-log1p` `fma-udef` `expm1-udef`

Counts

2 → 21

Calls

2 calls:

0.0ms	(fma 1/12 x (/ 1 x))
0.0ms	(expm1 (log1p (fma 1/12 x (/ 1 x))))

series152.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(fma 1/12 x (/ 1 x))
67.0ms	(expm1 (log1p (fma 1/12 x (/ 1 x))))

simplify2.1s

Counts

27 → 27

Iterations

Useful iterations: 3 (675.0ms)

Iter	Nodes	Cost
0	64	324
1	135	290
2	396	237
3	2077	197
done	5001	197

prune78.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

96.1% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	21
1	18	21
done	18	21

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2625×	body	10240	exit
666.0ms	2192×	body	1280	valid
436.0ms	1739×	body	640	valid
215.0ms	2848×	body	80	valid
139.0ms	812×	body	320	valid
33.0ms	409×	body	160	valid