Details

sample198.0ms

Algorithm

intervals

Results

81.0ms	1386×	body	80	nan
27.0ms	418×	body	80	valid
4.0ms	10×	body	640	valid
3.0ms	15×	body	320	valid
3.0ms	3×	body	1280	valid
1.0ms	9×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	111	18
4	282	17
5	955	17
6	4624	17
done	5000	17

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.5b	(log (- 1.0 z))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

53.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
12.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
2.0ms	(log (- 1.0 z))

series466.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
73.0ms	(* y (- (log z) t))
189.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
46.0ms	(log (- 1.0 z))

simplify727.0ms

Counts

119 → 119

Iterations

Useful iterations: done (724.0ms)

Iter	Nodes	Cost
0	275	1996
1	666	1916
2	2095	1751
done	5001	1748

prune456.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite832.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

309.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
406.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
12.0ms	(* y (- (log z) t))
100.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
105.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
71.0ms	(* y (- (log z) t))
246.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify728.0ms

Counts

141 → 141

Iterations

Useful iterations: done (718.0ms)

Iter	Nodes	Cost
0	279	3684
1	667	3563
2	2110	3300
done	5001	3295

prune624.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

56×	`associate--l+`
36×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
28×	`add-sqr-sqrt` `associate-+r+`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt` `associate-+l+` `associate-*r/`
16×	`sub-neg`
12×	`associate-r`
10×	`pow1` `flip3--` `flip--`
8×	`add-exp-log` `frac-add` `add-cbrt-cube` `add-log-exp`
6×	`associate-l`
4×	`distribute-lft-out--`
2×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

13.0ms	(* y (- (log z) t))
13.0ms	(* y (- (log z) t))
101.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
101.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series649.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* y (- (log z) t))
76.0ms	(* y (- (log z) t))
247.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
251.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify597.0ms

Counts

156 → 156

Iterations

Useful iterations: done (591.0ms)

Iter	Nodes	Cost
0	195	3860
1	485	3728
2	1606	3552
done	5000	3414

prune934.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
0.2b	(* y (- (log z) t))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

3.0ms	(- (log z) t)
48.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
14.0ms	(* y (- (log z) t))

series296.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (log z) t)
162.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
74.0ms	(* y (- (log z) t))

simplify979.0ms

Counts

79 → 79

Iterations

Useful iterations: 3 (332.0ms)

Iter	Nodes	Cost
0	145	888
1	296	864
2	690	716
3	2415	699
done	5000	699

prune236.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	61
1	35	61
done	35	61

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.3s	41374×	body	80	nan
815.0ms	12678×	body	80	valid
129.0ms	363×	body	640	valid
87.0ms	393×	body	320	valid
53.0ms	74×	body	1280	valid
39.0ms	285×	body	160	valid