Details

sample60.0ms

Algorithm

intervals

Results

25.0ms	75×	body	1280	valid
13.0ms	82×	body	10240	exit
7.0ms	50×	body	640	valid
3.0ms	99×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.0b	(- (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:

28.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series66.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (exp x) (- (exp x) 1.0))
26.0ms	(- (exp x) 1.0)

simplify3.0s

Counts

73 → 73

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	117	900
1	239	790
2	511	706
3	1486	679
done	5001	650

prune262.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite7.0ms

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:

6.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
0.0ms	(fma 1/12 x (/ 1 x))

series101.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
80.0ms	(fma 1/12 x (/ 1 x))

simplify1.2s

Counts

34 → 34

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	41	329
1	92	303
2	256	286
3	1199	280
done	5001	279

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.0b	(- 1 (/ 1.0 (exp x)))

rewrite136.0ms

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:

13.0ms	(/ 1.0 (exp x))
72.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
38.0ms	(- 1 (/ 1.0 (exp x)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1.0 (exp x))
74.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
64.0ms	(- 1 (/ 1.0 (exp x)))

simplify4.6s

Counts

154 → 154

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	257	3113
1	540	2570
2	1217	2026
3	4025	1756
done	5000	1755

prune260.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1.0))))
3.0b	(- (exp x) 1.0)
3.0b	(log (exp (- (exp x) 1.0)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
18×	`prod-diff`
14×	`log-prod`
11×	`exp-sum`
9×	`associate-/r*`
8×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `associate-/l*`
2×	`sub-neg`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 112

Calls

3 calls:

57.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
14.0ms	(- (exp x) 1.0)
34.0ms	(log (exp (- (exp x) 1.0)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
15.0ms	(- (exp x) 1.0)
16.0ms	(log (exp (- (exp x) 1.0)))

simplify3.1s

Counts

121 → 121

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	189	1712
1	311	1303
2	604	1156
3	1592	1100
done	5000	1042

prune309.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

96.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.4b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	22
1	19	22
done	19	22

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	2545×	body	10240	exit
769.0ms	2331×	body	1280	valid
310.0ms	1597×	body	640	valid
106.0ms	806×	body	320	valid
103.0ms	2863×	body	80	valid
77.0ms	403×	body	160	valid