Details

sample133.0ms

Algorithm

intervals

Results

48.0ms	88×	body	10240	exit
44.0ms	91×	body	1280	valid
16.0ms	49×	body	640	valid
6.0ms	86×	body	80	valid
5.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify25.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.7b

localize16.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite61.0ms

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:

Slowest

40.0ms	(/ (exp x) (- (exp x) 1))
20.0ms	(- (exp x) 1)

series46.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

29.0ms	(/ (exp x) (- (exp x) 1))
17.0ms	(- (exp x) 1)

simplify2.5s

Counts: 86 → 86

prune782.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (exp x) (expm1 x))

rewrite13.0ms

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:

Slowest

12.0ms

(/ (exp x) (expm1 x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

(/ (exp x) (expm1 x))

simplify1.5s

Counts: 33 → 33

prune241.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x 1/2)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

1.0ms

(fma 1/12 x 1/2)

series71.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

71.0ms

(fma 1/12 x 1/2)

simplify1.8s

Counts: 14 → 14

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

3.2b	(- 1 (/ 1 (exp x)))
0.0b	(/ 1 (exp x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
46×	`add-cube-cbrt`
40×	`times-frac`
39×	`prod-diff`
6×	`difference-of-squares`
5×	`div-inv`
4×	`add-cbrt-cube` `pow-flip` `add-log-exp`
3×	`pow1` `exp-prod` `associate-/r` `fma-neg` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `flip--` `inv-pow`

Counts

2 → 102

Calls

2 calls:

Slowest

15.0ms	(- 1 (/ 1 (exp x)))
13.0ms	(/ 1 (exp x))

series43.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

34.0ms	(- 1 (/ 1 (exp x)))
9.0ms	(/ 1 (exp x))

simplify2.1s

Counts: 108 → 108

prune973.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

96.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.6b

bsearch56.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	2672×	body	10240	exit
1.1s	2276×	body	1280	valid
528.0ms	1624×	body	640	valid
202.0ms	2885×	body	80	valid
178.0ms	804×	body	320	valid
51.0ms	413×	body	160	valid