Details

sample82.0ms

Algorithm

intervals

Results

24.0ms	64×	body	1280	valid
20.0ms	76×	body	10240	exit
11.0ms	49×	body	640	valid
5.0ms	29×	body	320	valid
4.0ms	98×	body	80	valid
2.0ms	16×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.7b

localize14.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (exp x) (- (exp x) 1.0))
3.7b	(- (exp x) 1.0)

rewrite56.0ms

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×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 67

Calls

2 calls:

35.0ms	(/ (exp x) (- (exp x) 1.0))
19.0ms	(- (exp x) 1.0)

series58.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (exp x) (- (exp x) 1.0))
19.0ms	(- (exp x) 1.0)

simplify662.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	897
1	253
0	117

prune341.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

18.0ms	(+ (fma 1/12 x 1/2) (/ 1 x))
1.0ms	(fma 1/12 x 1/2)

series74.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (fma 1/12 x 1/2) (/ 1 x))
57.0ms	(fma 1/12 x 1/2)

simplify2.6s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	3869
2	503
1	115
0	42

prune229.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.7b	(- 1 (/ 1.0 (exp x)))

rewrite66.0ms

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` `clear-num` `frac-2neg` `flip3--` `associate-/r/` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 145

Calls

3 calls:

29.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms	(/ 1.0 (exp x))
25.0ms	(- 1 (/ 1.0 (exp x)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
23.0ms	(/ 1.0 (exp x))
39.0ms	(- 1 (/ 1.0 (exp x)))

simplify2.3s

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
2	2401
1	609
0	257

prune355.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.8b	(/ (fma 1.0 (- 1.0) (exp (+ x x))) (+ 1.0 (exp x)))
1.0b	(/ (exp x) (/ (fma 1.0 (- 1.0) (exp (+ x x))) (+ 1.0 (exp x))))
3.7b	(fma 1.0 (- 1.0) (exp (+ x x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
99×	`*-un-lft-identity`
65×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
17×	`distribute-lft-out`
11×	`add-cbrt-cube` `associate-/r/`
9×	`add-exp-log`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`fma-def`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

4 → 154

Calls

4 calls:

5.0ms	(+ 1.0 (exp x))
14.0ms	(/ (fma 1.0 (- 1.0) (exp (+ x x))) (+ 1.0 (exp x)))
27.0ms	(/ (exp x) (/ (fma 1.0 (- 1.0) (exp (+ x x))) (+ 1.0 (exp x))))
1.0ms	(fma 1.0 (- 1.0) (exp (+ x x)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
71.0ms	(/ (fma 1.0 (- 1.0) (exp (+ x x))) (+ 1.0 (exp x)))
90.0ms	(/ (exp x) (/ (fma 1.0 (- 1.0) (exp (+ x x))) (+ 1.0 (exp x))))
51.0ms	(fma 1.0 (- 1.0) (exp (+ x x)))

simplify1.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	3278
1	580
0	233

prune722.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.6b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	37
1	37
0	31

end0.0ms

sample2.6s

Algorithm

intervals

Results

764.0ms	2544×	body	10240	exit
715.0ms	1611×	body	640	valid
617.0ms	2289×	body	1280	valid
136.0ms	2894×	body	80	valid
95.0ms	792×	body	320	valid
35.0ms	417×	body	160	valid