Details

sample1.2s

Algorithm

intervals

Results

576.0ms	134×	body	10240	exit
221.0ms	259×	body	80	valid
213.0ms	50×	body	1280	nan
80.0ms	38×	body	640	nan
38.0ms	22×	body	320	nan
7.0ms	12×	body	80	nan
6.0ms	6×	body	160	nan

simplify309.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

308.0ms

(* (/ 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: 1.9b

localize214.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-log-exp`
20×	`add-sqr-sqrt`
12×	`diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+` `difference-of-squares`
4×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

4 → 88

Calls

4 calls:

Slowest

49.0ms	(- (- 1 z) 1)
38.0ms	(- (- 1 z) 1)
37.0ms	(- (- 1 z) 1)
37.0ms	(- (- 1 z) 1)

series63.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

21.0ms	(- (- 1 z) 1)
15.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)

simplify1.1s

Counts

48 → 100

Calls

48 calls:

Slowest

139.0ms	(/ (exp (- 1 z)) (exp 1))
120.0ms	(/ (exp (- 1 z)) (exp 1))
94.0ms	(/ (exp (- 1 z)) (exp 1))
88.0ms	(/ (exp (- 1 z)) (exp 1))
38.0ms	(- (- 1 z) 1)

prune4.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.9b

localize278.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-log-exp`
20×	`add-sqr-sqrt`
12×	`diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+` `difference-of-squares`
4×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

4 → 88

Calls

4 calls:

Slowest

41.0ms	(- (- 1 z) 1)
39.0ms	(- (- 1 z) 1)
26.0ms	(- (- 1 z) 1)
25.0ms	(- (- 1 z) 1)

series67.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

20.0ms	(- (- 1 z) 1)
19.0ms	(- (- 1 z) 1)
15.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)

simplify1.2s

Counts

48 → 100

Calls

48 calls:

Slowest

117.0ms	(/ (exp (- 1 z)) (exp 1))
114.0ms	(/ (exp (- 1 z)) (exp 1))
102.0ms	(/ (exp (- 1 z)) (exp 1))
98.0ms	(/ (exp (- 1 z)) (exp 1))
39.0ms	(- (- 1 z) 1)

prune5.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.9b

localize229.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-log-exp`
20×	`add-sqr-sqrt`
12×	`diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+` `difference-of-squares`
4×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

4 → 88

Calls

4 calls:

Slowest

44.0ms	(- (- 1 z) 1)
26.0ms	(- (- 1 z) 1)
26.0ms	(- (- 1 z) 1)
25.0ms	(- (- 1 z) 1)

series50.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

13.0ms	(- (- 1 z) 1)
12.0ms	(- (- 1 z) 1)
12.0ms	(- (- 1 z) 1)
12.0ms	(- (- 1 z) 1)

simplify1.3s

Counts

48 → 100

Calls

48 calls:

Slowest

121.0ms	(/ (exp (- 1 z)) (exp 1))
117.0ms	(/ (exp (- 1 z)) (exp 1))
104.0ms	(/ (exp (- 1 z)) (exp 1))
97.0ms	(/ (exp (- 1 z)) (exp 1))
39.0ms	(- (- 1 z) 1)

prune6.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

localize238.0ms

Local error

Found 4 expressions with local error:

7.4b	(posit16->real (real->posit16 (- (- 1 z) 1)))
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)
4.8b	(- (- 1 z) 1)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`add-log-exp`
16×	`add-sqr-sqrt`
9×	`diff-log` `distribute-lft-out--`
6×	`sub-neg` `associate--l+` `difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`associate--l-` `flip3--` `difference-of-sqr-1` `flip--`
1×	`remove-posit16`

Counts

4 → 75

Calls

4 calls:

Slowest

41.0ms	(- (- 1 z) 1)
37.0ms	(- (- 1 z) 1)
28.0ms	(- (- 1 z) 1)
0.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

25.0ms	(- (- 1 z) 1)
22.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))
22.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)

simplify919.0ms

Counts

40 → 87

Calls

40 calls:

Slowest

141.0ms	(/ (exp (- 1 z)) (exp 1))
105.0ms	(/ (exp (- 1 z)) (exp 1))
104.0ms	(/ (exp (- 1 z)) (exp 1))
36.0ms	(- (- 1 z) 1)
36.0ms	(- (- 1 z) 1)

prune5.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.9b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch64.0ms

end0.0ms

sample40.6s

Algorithm

intervals

Results

22.7s	3845×	body	10240	exit
5.8s	8087×	body	80	valid
5.5s	1506×	body	1280	nan
3.7s	1258×	body	640	nan
1.8s	624×	body	320	nan
356.0ms	288×	body	160	nan
197.0ms	283×	body	80	nan