Details

sample3.5s

Algorithm

intervals

Results

2.8s	149×	body	10240	exit
210.0ms	57×	body	1280	nan
151.0ms	259×	body	80	valid
115.0ms	46×	body	640	nan
36.0ms	20×	body	320	nan
12.0ms	9×	body	160	nan
6.0ms	11×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
3	3423
2	613
1	154
0	60

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize193.0ms

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)

rewrite164.0ms

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:

50.0ms	(- (- 1 z) 1)
32.0ms	(- (- 1 z) 1)
30.0ms	(- (- 1 z) 1)
51.0ms	(- (- 1 z) 1)

series86.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)
22.0ms	(- (- 1 z) 1)
22.0ms	(- (- 1 z) 1)

simplify9.6s

Counts

100 → 100

Iterations

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

prune3.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.7b

localize153.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
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

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:

148.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
123.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
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))))

series405.0ms

Counts

4 → 10

Calls

4 calls:

232.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
40.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
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))))

simplify2.3s

Counts

163 → 163

Iterations

Iter	Nodes
2	4518
1	1107
0	419

prune6.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize171.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
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:

131.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
96.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
5.0ms	(sqrt (* 2 PI))
1.3s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series416.0ms

Counts

4 → 10

Calls

4 calls:

267.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
37.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
0.0ms	(sqrt (* 2 PI))
112.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.2s

Counts

163 → 163

Iterations

Iter	Nodes
2	4220
1	1049
0	395

prune7.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize214.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
1.0b	(sqrt (* 2 PI))
1.5b	(+ (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))) (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))))

rewrite2.1s

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:

176.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
95.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
6.0ms	(sqrt (* 2 PI))
1.8s	(+ (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))) (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))))

series407.0ms

Counts

4 → 10

Calls

4 calls:

249.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
24.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
0.0ms	(sqrt (* 2 PI))
134.0ms	(+ (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))) (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))))

simplify2.5s

Counts

163 → 163

Iterations

Iter	Nodes
2	4201
1	1047
0	395

prune7.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes461.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
2	77
1	77
0	60

end0.0ms

sample1.5m

Algorithm

intervals

Results

1.2m	3823×	body	10240	exit
7.6s	1525×	body	1280	nan
6.1s	8075×	body	80	valid
3.5s	1291×	body	640	nan
1.6s	589×	body	320	nan
452.0ms	284×	body	160	nan
195.0ms	288×	body	80	nan