Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	74×	body	1280	valid
14.0ms	91×	body	10240	exit
8.0ms	59×	body	640	valid
2.0ms	26×	body	320	valid
2.0ms	81×	body	80	valid
1.0ms	16×	body	160	valid

simplify4.0ms

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: 43.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.1b	(- (exp x) 1.0)

rewrite46.0ms

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:

32.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series52.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (exp x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

simplify603.0ms

Counts

73 → 73

Iterations

Useful iterations: done (600.0ms)

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

prune245.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite15.0ms

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:

14.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
0.0ms	(fma 1/12 x (/ 1 x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
61.0ms	(fma 1/12 x (/ 1 x))

simplify2.0s

Counts

34 → 34

Iterations

Useful iterations: done (2.0s)

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

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.1b	(- 1 (/ 1.0 (exp x)))

rewrite103.0ms

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:

10.0ms	(/ 1.0 (exp x))
39.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
43.0ms	(- 1 (/ 1.0 (exp x)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ 1.0 (exp x))
71.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
61.0ms	(- 1 (/ 1.0 (exp x)))

simplify2.8s

Counts

154 → 154

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	257	3113
1	608	2598
2	2403	2085
done	5000	1772

prune334.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.1b	(pow (/ 1 (- 1 (/ 1.0 (exp x)))) 3)
0.1b	(cbrt (pow (/ 1 (- 1 (/ 1.0 (exp x)))) 3))
4.1b	(- 1 (/ 1.0 (exp x)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

238×	`add-sqr-sqrt`
181×	`times-frac`
170×	`*-un-lft-identity`
102×	`add-cube-cbrt`
68×	`difference-of-squares`
66×	`cbrt-prod`
60×	`unpow-prod-down` `cube-prod`
39×	`prod-diff`
17×	`distribute-lft-out--`
13×	`add-exp-log`
10×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`associate-/r*` `div-inv`
7×	`pow1`
6×	`flip3--` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `fma-neg` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `rec-exp` `pow-flip` `1-exp` `unpow3` `inv-pow` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `frac-2neg` `pow1/3` `diff-log` `clear-num` `rem-cbrt-cube`

Counts

4 → 280

Calls

4 calls:

51.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
71.0ms	(pow (/ 1 (- 1 (/ 1.0 (exp x)))) 3)
58.0ms	(cbrt (pow (/ 1 (- 1 (/ 1.0 (exp x)))) 3))
27.0ms	(- 1 (/ 1.0 (exp x)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
118.0ms	(pow (/ 1 (- 1 (/ 1.0 (exp x)))) 3)
101.0ms	(cbrt (pow (/ 1 (- 1 (/ 1.0 (exp x)))) 3))
43.0ms	(- 1 (/ 1.0 (exp x)))

simplify812.0ms

Counts

292 → 292

Iterations

Useful iterations: done (798.0ms)

Iter	Nodes	Cost
0	379	6589
1	1234	5151
done	5000	4592

prune537.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

97.2% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.2b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	24
1	21	24
done	21	24

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	2281×	body	1280	valid
822.0ms	2549×	body	10240	exit
318.0ms	1657×	body	640	valid
198.0ms	821×	body	320	valid
100.0ms	2831×	body	80	valid
33.0ms	410×	body	160	valid