Details

sample1.4s

Algorithm

intervals

Results

770.0ms	142×	body	10240	exit
177.0ms	261×	body	80	valid
145.0ms	52×	body	1280	nan
124.0ms	43×	body	640	nan
31.0ms	18×	body	320	nan
19.0ms	16×	body	160	nan
5.0ms	8×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
3	3458
2	614
1	155
0	60

prune81.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize211.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1 z) 1)
5.3b	(- (- 1 z) 1)
5.3b	(- (- 1 z) 1)
5.3b	(- (- 1 z) 1)

rewrite161.0ms

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:

27.0ms	(- (- 1 z) 1)
55.0ms	(- (- 1 z) 1)
31.0ms	(- (- 1 z) 1)
47.0ms	(- (- 1 z) 1)

series71.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (- 1 z) 1)
18.0ms	(- (- 1 z) 1)
22.0ms	(- (- 1 z) 1)
19.0ms	(- (- 1 z) 1)

simplify2.2s

Counts

100 → 100

Iterations

Iter	Nodes
5	3510
4	1219
3	452
2	196
1	80
0	41

prune4.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.6b

localize171.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
1.0b	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
1.0b	(sqrt (* 2 PI))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
52×	`times-frac`
25×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
24×	`distribute-lft-out`
11×	`exp-sum` `add-log-exp`
10×	`associate-/l*` `distribute-lft-out--`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`unpow-prod-up` `sqr-pow`
4×	`associate-/r*` `sum-log` `insert-posit16`
3×	`flip3-+` `div-exp` `frac-add` `flip-+` `pow-sub` `associate-/l/`
2×	`+-commutative` `sqrt-pow1` `sub0-neg`
1×	`pow-to-exp` `cbrt-undiv` `associate-+r+` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `exp-diff` `unsub-neg` `pow-prod-down` `pow-exp` `associate-/r/` `associate-+l-` `sqrt-prod` `div-inv`

Counts

4 → 123

Calls

4 calls:

112.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
58.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
178.0ms	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
6.0ms	(sqrt (* 2 PI))

series364.0ms

Counts

4 → 10

Calls

4 calls:

54.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
83.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
227.0ms	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
0.0ms	(sqrt (* 2 PI))

simplify1.2s

Counts

133 → 133

Iterations

Iter	Nodes
2	2589
1	805
0	334

prune5.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize221.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
1.0b	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
1.0b	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
1.0b	(sqrt (* 2 PI))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
25×	`*-un-lft-identity`
15×	`unpow-prod-down`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-div` `pow-sub`
7×	`pow1`
6×	`distribute-lft-out` `sub0-neg`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`unpow-prod-up` `associate-+r-` `pow1/3` `unsub-neg` `distribute-lft-out--` `sqr-pow`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 78

Calls

4 calls:

20.0ms	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
21.0ms	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
37.0ms	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
3.0ms	(sqrt (* 2 PI))

series1.0s

Counts

4 → 10

Calls

4 calls:

369.0ms	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
312.0ms	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
354.0ms	(cbrt (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))))
0.0ms	(sqrt (* 2 PI))

simplify885.0ms

Counts

88 → 88

Iterations

Iter	Nodes
3	2188
2	660
1	246
0	116

prune4.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize196.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
1.0b	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
1.0b	(sqrt (* 2 PI))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
52×	`times-frac`
25×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
24×	`distribute-lft-out`
11×	`exp-sum` `add-log-exp`
10×	`associate-/l*` `distribute-lft-out--`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`unpow-prod-up` `sqr-pow`
4×	`associate-/r*` `sum-log` `insert-posit16`
3×	`flip3-+` `div-exp` `frac-add` `flip-+` `pow-sub` `associate-/l/`
2×	`+-commutative` `sqrt-pow1` `sub0-neg`
1×	`pow-to-exp` `cbrt-undiv` `associate-+r+` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `exp-diff` `unsub-neg` `pow-prod-down` `pow-exp` `associate-/r/` `associate-+l-` `sqrt-prod` `div-inv`

Counts

4 → 123

Calls

4 calls:

170.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
92.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
174.0ms	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
6.0ms	(sqrt (* 2 PI))

series354.0ms

Counts

4 → 10

Calls

4 calls:

60.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
82.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
211.0ms	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
0.0ms	(sqrt (* 2 PI))

simplify1.0s

Counts

133 → 133

Iterations

Iter	Nodes
2	2355
1	749
0	310

prune5.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes503.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify29.0ms

Iterations

Iter	Nodes
2	85
1	85
0	65

end0.0ms

sample39.6s

Algorithm

intervals

Results

22.6s	3884×	body	10240	exit
5.4s	8097×	body	80	valid
4.9s	1408×	body	1280	nan
4.0s	1211×	body	640	nan
1.5s	597×	body	320	nan
394.0ms	305×	body	160	nan
198.0ms	296×	body	80	nan