Details

sample3.4s

Algorithm

intervals

Results

2.7s	129×	body	10240	exit
194.0ms	57×	body	1280	nan
152.0ms	260×	body	80	valid
120.0ms	36×	body	640	nan
38.0ms	22×	body	320	nan
14.0ms	10×	body	160	nan
8.0ms	11×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
3	3423
2	613
1	154
0	60

prune67.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize155.0ms

Local error

Found 4 expressions with local error:

5.2b	(- (- 1 z) 1)
5.2b	(- (- 1 z) 1)
5.2b	(- (- 1 z) 1)
5.2b	(- (- 1 z) 1)

rewrite167.0ms

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` `flip--`

Counts

4 → 84

Calls

4 calls:

48.0ms	(- (- 1 z) 1)
36.0ms	(- (- 1 z) 1)
33.0ms	(- (- 1 z) 1)
48.0ms	(- (- 1 z) 1)

series58.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (- 1 z) 1)
17.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)
14.0ms	(- (- 1 z) 1)

simplify6.2s

Counts

96 → 96

Iterations

Iter	Nodes
5	3427
4	1120
3	451
2	194
1	77
0	40

prune4.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.7b

localize151.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 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))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
56×	`times-frac`
30×	`add-log-exp`
29×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
25×	`unpow-prod-up` `unpow-prod-down`
24×	`frac-add`
18×	`sum-log`
15×	`exp-sum`
14×	`associate-/l*`
13×	`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*`
3×	`div-exp`
2×	`+-commutative` `associate-+l+` `sqrt-pow1`
1×	`pow-to-exp` `cbrt-undiv` `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 → 154

Calls

4 calls:

500.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
116.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
5.0ms	(sqrt (* 2 PI))
1.1s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series389.0ms

Counts

4 → 10

Calls

4 calls:

54.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
223.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))
111.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.5s

Counts

164 → 164

Iterations

Iter	Nodes
2	4481
1	1105
0	417

prune6.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize147.0ms

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`
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 → 227

Calls

4 calls:

128.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
151.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
2.0ms	(sqrt (* 2 PI))
1.2s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series554.0ms

Counts

4 → 10

Calls

4 calls:

219.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
211.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))
124.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.5s

Counts

237 → 237

Iterations

Iter	Nodes
2	4095
1	1006
0	374

prune10.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize335.0ms

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	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(sqrt (* 2 PI))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
154×	`*-un-lft-identity`
79×	`add-sqr-sqrt` `add-cube-cbrt`
75×	`unpow-prod-up` `unpow-prod-down`
45×	`exp-sum`
42×	`associate-/l*`
30×	`sub-neg` `associate--l+` `distribute-lft-out`
15×	`distribute-lft-out--` `associate--r-` `sqr-pow`
12×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
9×	`div-exp`
7×	`pow1`
4×	`add-log-exp`
3×	`pow-to-exp` `cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `exp-diff` `pow-exp` `associate-/r/` `div-inv` `pow-sub` `associate-/l/`
2×	`sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 281

Calls

4 calls:

108.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
135.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
121.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
5.0ms	(sqrt (* 2 PI))

series1.1s

Counts

4 → 10

Calls

4 calls:

648.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
218.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
255.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))

simplify1.9s

Counts

291 → 291

Iterations

Iter	Nodes
2	2067
1	605
0	277

prune21.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes634.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify46.0ms

Iterations

Iter	Nodes
2	111
1	111
0	81

end0.0ms

sample1.6m

Algorithm

intervals

Results

1.3m	4056×	body	10240	exit
7.0s	8100×	body	80	valid
6.3s	1507×	body	1280	nan
5.0s	1265×	body	640	nan
1.3s	617×	body	320	nan
374.0ms	285×	body	160	nan
195.0ms	318×	body	80	nan
2.0ms	1×	body	160	valid