Details

sample87.0ms

Algorithm

intervals

Results

31.0ms	88×	body	10240	exit
27.0ms	86×	body	1280	valid
11.0ms	54×	body	640	valid
5.0ms	35×	body	320	valid
3.0ms	66×	body	80	valid
1.0ms	15×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1))
4.6b	(- (exp x) 1)

rewrite40.0ms

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:

21.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

series73.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (exp x) (- (exp x) 1))
35.0ms	(- (exp x) 1)

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5009
3	2011
2	607
1	258
0	126

prune230.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp x) (expm1 x))

rewrite11.0ms

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:

10.0ms

(/ (exp x) (expm1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (exp x) (expm1 x))

simplify2.2s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
4	2682
3	768
2	310
1	118
0	60

prune135.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`cbrt-prod`
28×	`associate-r`
27×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
18×	`add-exp-log`
16×	`pow1`
10×	`add-cbrt-cube`
8×	`pow1/3`
7×	`associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `associate-*r/` `div-inv`

Counts

4 → 119

Calls

4 calls:

3.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
56.0ms	(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (expm1 x)))
28.0ms	(* (cbrt (exp x)) (cbrt (exp x)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (exp x))
139.0ms	(cbrt (exp x))
37.0ms	(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (expm1 x)))
136.0ms	(* (cbrt (exp x)) (cbrt (exp x)))

simplify3.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5007
3	4441
2	1441
1	440
0	152

prune563.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
0	4

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	2277×	body	1280	valid
868.0ms	2632×	body	10240	exit
419.0ms	1637×	body	640	valid
150.0ms	2860×	body	80	valid
126.0ms	821×	body	320	valid
39.0ms	406×	body	160	valid