Details

sample101.0ms

Algorithm

intervals

Results

34.0ms	94×	body	10240	exit
29.0ms	72×	body	1280	valid
14.0ms	47×	body	640	valid
6.0ms	99×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	15×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ (exp x) (- (exp x) 1))
4.2b	(- (exp x) 1)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 80

Calls

2 calls:

29.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

series41.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	2003
3	2003
2	607
1	258
0	126

prune181.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize7.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (exp x) (expm1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

6.0ms

(/ (exp x) (expm1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (exp x) (expm1 x))

simplify706.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2001
4	2001
3	768
2	310
1	118
0	60

prune163.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (expm1 x))
0.7b	(* (exp x) (/ 1 (expm1 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`associate-r`
11×	`add-exp-log`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 73

Calls

2 calls:

7.0ms	(/ 1 (expm1 x))
22.0ms	(* (exp x) (/ 1 (expm1 x)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1 (expm1 x))
26.0ms	(* (exp x) (/ 1 (expm1 x)))

simplify1.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	2014
4	2014
3	1267
2	558
1	239
0	101

prune232.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.6b	(/ (expm1 x) (cbrt (exp x)))
0.7b	(/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
49×	`cbrt-prod`
28×	`associate-/r*`
20×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
7×	`cbrt-undiv` `pow1/3` `div-exp`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-sub` `associate-/r/` `*-commutative` `expm1-udef`

Counts

4 → 167

Calls

4 calls:

3.0ms	(cbrt (exp x))
17.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
6.0ms	(/ (expm1 x) (cbrt (exp x)))
22.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))

series419.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (exp x))
123.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
122.0ms	(/ (expm1 x) (cbrt (exp x)))
45.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))

simplify1.3s

Counts

179 → 179

Iterations

Iter	Nodes
done	2000
3	2000
2	1823
1	565
0	221

prune858.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	2532×	body	10240	exit
1.1s	2317×	body	1280	valid
551.0ms	794×	body	320	valid
505.0ms	1580×	body	640	valid
186.0ms	2916×	body	80	valid
50.0ms	394×	body	160	valid