Details

sample1.2s

Algorithm

intervals

Results

690.0ms	133×	body	10240	exit
175.0ms	45×	body	1280	nan
129.0ms	261×	body	80	valid
84.0ms	42×	body	640	nan
27.0ms	18×	body	320	nan
12.0ms	10×	body	160	nan
6.0ms	10×	body	80	nan

simplify299.0ms

Calls

1 calls:

Slowest

299.0ms

(* (/ PI (sin (* PI z))) (* (* (* (sqrt (* PI 2)) (pow (+ (+ (- (- 1 z) 1) 7) 0.5) (+ (- (- 1 z) 1) 0.5))) (exp (- (+ (+ (- (- 1 z) 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- (- 1 z) 1) 1))) (/ -1259.1392167224028 (+ (- (- 1 z) 1) 2))) (/ 771.3234287776531 (+ (- (- 1 z) 1) 3))) (/ -176.6150291621406 (+ (- (- 1 z) 1) 4))) (/ 12.507343278686905 (+ (- (- 1 z) 1) 5))) (/ -0.13857109526572012 (+ (- (- 1 z) 1) 6))) (/ 9.984369578019572e-06 (+ (- (- 1 z) 1) 7))) (/ 1.5056327351493116e-07 (+ (- (- 1 z) 1) 8)))))

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize115.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `fma-neg`
8×	`sub-neg` `*-un-lft-identity` `associate--l+` `add-exp-log` `add-cube-cbrt`
4×	`associate--l-` `expm1-log1p-u` `pow1` `expm1-def` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Calls

4 calls:

Slowest

8.0ms	(- (- 1 z) 1)
4.0ms	(- (- 1 z) 1)
4.0ms	(- (- 1 z) 1)
4.0ms	(- (- 1 z) 1)

series25.0ms

Calls

4 calls:

Slowest

7.0ms	(- (- 1 z) 1)
6.0ms	(- (- 1 z) 1)
6.0ms	(- (- 1 z) 1)
6.0ms	(- (- 1 z) 1)

simplify282.0ms

Calls

28 calls:

Slowest

19.0ms	(log (- 1 z))
18.0ms	(+ (sqrt (- 1 z)) 1)
18.0ms	(+ (sqrt (- 1 z)) 1)
17.0ms	(+ (sqrt (- 1 z)) 1)
17.0ms	(* (cbrt (- 1 z)) (cbrt (- 1 z)))

prune4.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize67.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `fma-neg`
8×	`sub-neg` `*-un-lft-identity` `associate--l+` `add-exp-log` `add-cube-cbrt`
4×	`associate--l-` `expm1-log1p-u` `pow1` `expm1-def` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Calls

4 calls:

Slowest

8.0ms	(- (- 1 z) 1)
7.0ms	(- (- 1 z) 1)
7.0ms	(- (- 1 z) 1)
6.0ms	(- (- 1 z) 1)

series27.0ms

Calls

4 calls:

Slowest

8.0ms	(- (- 1 z) 1)
7.0ms	(- (- 1 z) 1)
6.0ms	(- (- 1 z) 1)
6.0ms	(- (- 1 z) 1)

simplify259.0ms

Calls

28 calls:

Slowest

18.0ms	(* (cbrt (- 1 z)) (cbrt (- 1 z)))
15.0ms	(log (- 1 z))
15.0ms	(sqrt (- 1 z))
13.0ms	(* (cbrt (- 1 z)) (cbrt (- 1 z)))
13.0ms	(+ (sqrt (- 1 z)) 1)

prune5.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize103.0ms

Local error

Found 4 expressions with local error:

7.1b	(posit16->real (real->posit16 (- (- 1 z) 1)))
5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)
5.9b	(- (- 1 z) 1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`fma-neg`
7×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`sub-neg` `associate--l+`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate--l-` `expm1-def` `flip3--` `difference-of-sqr-1` `flip--`
1×	`remove-posit16`

Calls

4 calls:

Slowest

8.0ms	(- (- 1 z) 1)
5.0ms	(- (- 1 z) 1)
4.0ms	(- (- 1 z) 1)
1.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

series29.0ms

Calls

4 calls:

Slowest

9.0ms	(- (- 1 z) 1)
7.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))
6.0ms	(- (- 1 z) 1)
6.0ms	(- (- 1 z) 1)

simplify237.0ms

Calls

25 calls:

Slowest

21.0ms	(+ (sqrt (- 1 z)) 1)
18.0ms	(+ (sqrt (- 1 z)) 1)
17.0ms	(* (cbrt (- 1 z)) (cbrt (- 1 z)))
16.0ms	(log (- 1 z))
15.0ms	(log (- 1 z))

prune5.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.8b

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.8b

bsearch56.0ms

end0.0ms

sample40.1s

Algorithm

intervals

Results

21.5s	3804×	body	10240	exit
6.3s	1477×	body	1280	nan
5.9s	8099×	body	80	valid
3.8s	1216×	body	640	nan
1.6s	635×	body	320	nan
399.0ms	307×	body	160	nan
177.0ms	284×	body	80	nan
1.0ms	1×	body	160	valid