Details

sample336.0ms

Algorithm

intervals

Results

152.0ms	1309×	body	80	nan
35.0ms	384×	body	80	valid
5.0ms	3×	body	1280	valid
5.0ms	10×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	12×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1299
4	353
3	127
2	58
1	30
0	17

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0b	(log (- 1.0 z))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
26×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`pow1`
7×	`sub-neg` `flip3--` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`add-cbrt-cube` `associate-r`
5×	`difference-of-squares`
4×	`frac-add`
3×	`associate-l` `log-pow`
2×	`log-div`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

10.0ms	(- (log z) t)
30.0ms	(* y (- (log z) t))
42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(log (- 1.0 z))

series539.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (log z) t)
109.0ms	(* y (- (log z) t))
243.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
79.0ms	(log (- 1.0 z))

simplify985.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	2201
1	617
0	241

prune886.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))))
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

45×	`associate--l+`
23×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
19×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-+r+`
15×	`add-cube-cbrt`
11×	`sub-neg`
10×	`pow1` `associate-+l+` `associate-r` `associate-*r/`
8×	`add-cbrt-cube`
7×	`add-exp-log` `add-log-exp`
6×	`flip3--` `associate-l` `flip--`
4×	`frac-add` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `exp-sum` `flip-+`

Counts

4 → 113

Calls

4 calls:

304.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))))
6.0ms	(- (log z) t)
32.0ms	(* y (- (log z) t))
124.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))))
75.0ms	(- (log z) t)
113.0ms	(* y (- (log z) t))
384.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))

simplify972.0ms

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2427
1	630
0	239

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
0.1b	(* y (- (log z) t))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
10×	`associate-r` `add-cube-cbrt`
9×	`pow1` `log-prod` `associate--l+`
7×	`add-cbrt-cube`
6×	`associate-l` `add-exp-log`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`distribute-lft-out--` `add-log-exp`
3×	`sub-neg`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-r/` `log-pow` `-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
1×	`diff-log` `exp-sum`

Counts

3 → 70

Calls

3 calls:

7.0ms	(- (log z) t)
58.0ms	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
26.0ms	(* y (- (log z) t))

series431.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- (log z) t)
248.0ms	(* x (exp (+ (* (log 1.0) a) (* y (- (log z) t)))))
91.0ms	(* y (- (log z) t))

simplify642.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1079
1	335
0	146

prune508.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))
0.7b	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))
0.7b	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

1782×	`times-frac`
789×	`*-un-lft-identity`
786×	`add-sqr-sqrt`
784×	`add-cube-cbrt`
219×	`unpow-prod-down`
178×	`associate-/r*`
73×	`sqr-pow`
72×	`unpow2`
51×	`associate--l+`
36×	`add-exp-log`
34×	`div-inv`
24×	`div-exp`
22×	`add-cbrt-cube`
18×	`associate-+r+`
15×	`log-prod`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`cbrt-undiv`
11×	`sub-neg`
10×	`associate-+l+` `associate-/r/`
9×	`unpow-prod-up`
8×	`associate-*r/`
6×	`pow-unpow` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`pow-pow` `flip3--` `frac-add` `flip--`
3×	`pow-to-exp` `exp-prod` `pow-exp` `distribute-lft-out--`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-sub` `difference-of-squares`

Counts

4 → 832

Calls

4 calls:

949.0ms	(pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b))
119.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))
29.0ms	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))
25.0ms	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(pow (exp a) (- (- (- (log 1.0) (* z 1.0)) (/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))) b))
323.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (/ 1/2 1.0) (/ (pow z 2) 1.0))) b)))
36.0ms	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))
29.0ms	(/ 1/2 (/ 1.0 (/ (pow z 2) 1.0)))

simplify1.7s

Counts

844 → 844

Iterations

Iter	Nodes
done	5001
1	3147
0	1046

prune16.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes565.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample13.7s

Algorithm

intervals

Results

6.1s	40529×	body	80	nan
2.5s	12424×	body	80	valid
262.0ms	391×	body	640	valid
197.0ms	419×	body	320	valid
103.0ms	303×	body	160	valid
82.0ms	73×	body	1280	valid