Details

sample3.2s

Algorithm

intervals

Results

2.7s	149×	body	10240	exit
153.0ms	257×	body	80	valid
132.0ms	48×	body	1280	nan
94.0ms	47×	body	640	nan
25.0ms	19×	body	320	nan
9.0ms	8×	body	160	nan
4.0ms	7×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
3	3423
2	613
1	154
0	60

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize215.0ms

Local error

Found 4 expressions with local error:

6.6b	(- (- 1 z) 1)
6.6b	(- (- 1 z) 1)
6.6b	(- (- 1 z) 1)
6.6b	(- (- 1 z) 1)

rewrite145.0ms

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:

53.0ms	(- (- 1 z) 1)
35.0ms	(- (- 1 z) 1)
29.0ms	(- (- 1 z) 1)
26.0ms	(- (- 1 z) 1)

series78.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (- 1 z) 1)
19.0ms	(- (- 1 z) 1)
22.0ms	(- (- 1 z) 1)
24.0ms	(- (- 1 z) 1)

simplify10.1s

Counts

100 → 100

Iterations

Iter	Nodes
5	3777
4	1042
3	457
2	208
1	78
0	41

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.7b

localize182.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(sqrt (* 2 PI))
1.5b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
56×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`add-log-exp`
26×	`distribute-lft-out`
25×	`unpow-prod-up` `unpow-prod-down`
22×	`frac-add`
16×	`sum-log`
15×	`exp-sum`
14×	`associate-/l*`
12×	`flip3-+` `flip-+`
10×	`sub-neg` `associate--l+`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-out--` `associate--r-` `sqr-pow`
4×	`associate-/r*` `insert-posit16`
3×	`div-exp`
2×	`+-commutative` `sqrt-pow1`
1×	`pow-to-exp` `cbrt-undiv` `associate-+l+` `associate-+r+` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `pow-exp` `associate-/r/` `sqrt-prod` `div-inv` `pow-sub` `associate-/l/`

Counts

4 → 153

Calls

4 calls:

111.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
110.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
3.0ms	(sqrt (* 2 PI))
1.3s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series406.0ms

Counts

4 → 10

Calls

4 calls:

37.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
242.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))
126.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.6s

Counts

163 → 163

Iterations

Iter	Nodes
2	4517
1	1107
0	419

prune2.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize186.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(sqrt (* 2 PI))
1.5b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
112×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`unpow-prod-up` `unpow-prod-down`
35×	`distribute-lft-out`
30×	`exp-sum`
28×	`associate-/l*`
25×	`add-log-exp`
22×	`frac-add`
20×	`sub-neg` `associate--l+`
15×	`sum-log`
11×	`flip3-+` `flip-+`
10×	`distribute-lft-out--` `associate--r-` `sqr-pow`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`div-exp`
4×	`insert-posit16`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `sqrt-pow1` `exp-diff` `pow-exp` `associate-/r/` `div-inv` `pow-sub` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-+r+` `pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 231

Calls

4 calls:

102.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
149.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
3.0ms	(sqrt (* 2 PI))
1.2s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series576.0ms

Counts

4 → 10

Calls

4 calls:

191.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
244.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))
140.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.3s

Counts

241 → 241

Iterations

Iter	Nodes
2	4095
1	1009
0	377

prune4.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize167.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(sqrt (* 2 PI))
1.5b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
112×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`unpow-prod-up` `unpow-prod-down`
35×	`distribute-lft-out`
30×	`exp-sum`
28×	`associate-/l*`
25×	`add-log-exp`
22×	`frac-add`
20×	`sub-neg` `associate--l+`
15×	`sum-log`
11×	`flip3-+` `flip-+`
10×	`distribute-lft-out--` `associate--r-` `sqr-pow`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`div-exp`
4×	`insert-posit16`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `sqrt-pow1` `exp-diff` `pow-exp` `associate-/r/` `div-inv` `pow-sub` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-+r+` `pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 231

Calls

4 calls:

140.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
181.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
5.0ms	(sqrt (* 2 PI))
1.2s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series670.0ms

Counts

4 → 10

Calls

4 calls:

264.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
273.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))
133.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.6s

Counts

241 → 241

Iterations

Iter	Nodes
2	4095
1	1009
0	377

prune4.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
2	77
1	77
0	60

end0.0ms

sample1.6m

Algorithm

intervals

Results

1.3m	3977×	body	10240	exit
6.0s	8096×	body	80	valid
5.9s	1535×	body	1280	nan
4.6s	1231×	body	640	nan
1.3s	646×	body	320	nan
508.0ms	315×	body	160	nan
239.0ms	298×	body	80	nan
1.0ms	1×	body	160	valid