Details

sample69.0ms

Algorithm

intervals

Results

27.0ms	70×	body	1280	valid
14.0ms	88×	body	10240	exit
8.0ms	51×	body	640	valid
3.0ms	29×	body	320	valid
3.0ms	93×	body	80	valid
1.0ms	13×	body	160	valid

simplify8.0ms

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: 41.8b

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (exp x) (- (exp x) 1.0))
4.8b	(- (exp x) 1.0)

rewrite45.0ms

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:

19.0ms	(/ (exp x) (- (exp x) 1.0))
24.0ms	(- (exp x) 1.0)

series64.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (exp x) (- (exp x) 1.0))
26.0ms	(- (exp x) 1.0)

simplify628.0ms

Counts

73 → 73

Iterations

Useful iterations: done (625.0ms)

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

prune229.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

8.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
1.0ms	(fma 1/12 x (/ 1 x))

series76.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
51.0ms	(fma 1/12 x (/ 1 x))

simplify1.6s

Counts

34 → 34

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	41	329
1	108	314
2	360	286
3	1957	280
done	5000	279

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
4.8b	(- 1 (/ 1.0 (exp x)))

rewrite99.0ms

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:

43.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms	(/ 1.0 (exp x))
35.0ms	(- 1 (/ 1.0 (exp x)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
24.0ms	(/ 1.0 (exp x))
49.0ms	(- 1 (/ 1.0 (exp x)))

simplify2.5s

Counts

154 → 154

Iterations

Useful iterations: done (2.5s)

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

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1 (* 1.0 (exp (- x)))))
4.8b	(- 1 (* 1.0 (exp (- x))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `fma-neg` `prod-diff` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `flip3--` `div-exp` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `pow-flip` `frac-2neg` `diff-log` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

2 → 55

Calls

2 calls:

23.0ms	(/ 1 (- 1 (* 1.0 (exp (- x)))))
8.0ms	(- 1 (* 1.0 (exp (- x))))

series115.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1 (- 1 (* 1.0 (exp (- x)))))
49.0ms	(- 1 (* 1.0 (exp (- x))))

simplify997.0ms

Counts

61 → 61

Iterations

Useful iterations: done (995.0ms)

Iter	Nodes	Cost
0	102	822
1	250	742
2	1084	678
done	5000	608

prune138.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.2b

bsearch61.0ms

Steps

Iters	Range		Point
9	5.2366538615162886e-09	1.4124627081995123	0.0017165907253591187
8	-0.03117879455470207	-2.7237372521413145e-05	-0.001473090169205699

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	41
1	33	41
done	33	41

end0.0ms

sample2.9s

Algorithm

intervals

Results

743.0ms	2271×	body	1280	valid
738.0ms	2534×	body	10240	exit
624.0ms	794×	body	320	valid
318.0ms	1674×	body	640	valid
100.0ms	2841×	body	80	valid
34.0ms	421×	body	160	valid