Details

sample71.0ms

Algorithm

intervals

Results

30.0ms	80×	body	1280	valid
12.0ms	45×	body	640	valid
7.0ms	174×	body	80	valid
4.0ms	26×	body	320	valid
2.0ms	12×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
3	15
2	13
1	10
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.8b	(- (exp x) 1.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

30.0ms	(/ (- (exp x) 1.0) x)
9.0ms	(- (exp x) 1.0)

series67.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- (exp x) 1.0) x)
23.0ms	(- (exp x) 1.0)

simplify1.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1006
1	296
0	127

prune300.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1/2 (fma 1/6 (* x x) 1))
0.1b	(fma 1/6 (* x x) 1)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma x 1/2 (fma 1/6 (* x x) 1))
0.0ms	(fma 1/6 (* x x) 1)

series132.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(fma x 1/2 (fma 1/6 (* x x) 1))
86.0ms	(fma 1/6 (* x x) 1)

simplify1.3s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1360
2	200
1	54
0	33

prune151.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
3.8b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`cbrt-prod` `prod-diff`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`fma-neg` `pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(- (exp x) 1.0)

series897.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt x)
308.0ms	(cbrt x)
283.0ms	(cbrt x)
16.0ms	(- (exp x) 1.0)

simplify2.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
3	2453
2	539
1	188
0	90

prune401.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch41.0ms

Steps

Iters	Range		Point
9	-0.03438460291724579	-3.2432757514909933e-09	-0.00016689112366788532

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

817.0ms	1712×	body	640	valid
699.0ms	2256×	body	1280	valid
279.0ms	5394×	body	80	valid
104.0ms	830×	body	320	valid
34.0ms	402×	body	160	valid