Details

sample420.0ms

Algorithm

intervals

Results

188.0ms	1313×	body	80	nan
70.0ms	435×	body	80	valid
21.0ms	9×	body	640	valid
5.0ms	9×	body	320	valid
3.0ms	2×	body	1280	valid
2.0ms	7×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
1.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.5b	(log (- 1.0 z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+` `add-cube-cbrt`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `add-cbrt-cube` `associate-r` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `insert-posit16` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

33.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
17.0ms	(* y (- (log z) t))
23.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series459.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
72.0ms	(* y (- (log z) t))
199.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
45.0ms	(log (- 1.0 z))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2309
1	662
0	258

prune613.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ z 1.0) (/ z 1.0)) 1/2)
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
0.1b	(* y (- (log z) t))
1.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate--l+`
24×	`add-cbrt-cube` `add-exp-log`
19×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
18×	`associate-+r+` `log-prod`
17×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`pow1`
11×	`associate-*r/`
10×	`associate-+l+` `sub-neg` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `associate-*l/` `frac-add` `insert-posit16`
3×	`exp-prod`
2×	`sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr` `rem-exp-log`
1×	`frac-times` `+-commutative` `flip3-+` `exp-sum` `log-pow` `flip-+` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

25.0ms	(* (* (/ z 1.0) (/ z 1.0)) 1/2)
113.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
18.0ms	(* y (- (log z) t))
108.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* (/ z 1.0) (/ z 1.0)) 1/2)
163.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
76.0ms	(* y (- (log z) t))
245.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

simplify2.3s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	3295
1	746
0	271

prune971.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
1.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
1.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

84×	`associate--l+`
38×	`distribute-rgt-in` `distribute-lft-in`
36×	`associate-+r+` `log-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`associate-+l+` `sub-neg` `associate-*r/` `add-cube-cbrt`
12×	`associate-r`
10×	`pow1` `flip3--` `flip--`
8×	`add-cbrt-cube` `frac-add` `add-exp-log` `add-log-exp`
6×	`associate-l`
4×	`insert-posit16` `distribute-lft-out--`
2×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

32.0ms	(* y (- (log z) t))
31.0ms	(* y (- (log z) t))
155.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
123.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

series819.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* y (- (log z) t))
87.0ms	(* y (- (log z) t))
300.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
331.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* z 1.0)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

simplify1.7s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
2	1877
1	529
0	201

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
9×	`pow1` `associate-l`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube` `associate-r`
6×	`add-exp-log`
4×	`distribute-lft-out--` `add-log-exp`
3×	`log-prod` `associate--l+` `insert-posit16`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `exp-sum`

Counts

3 → 63

Calls

3 calls:

72.0ms	(* x (exp (+ (* (log 1.0) a) (* (- (log z) t) y))))
7.0ms	(- (log z) t)
30.0ms	(* (- (log z) t) y)

series414.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(* x (exp (+ (* (log 1.0) a) (* (- (log z) t) y))))
101.0ms	(- (log z) t)
118.0ms	(* (- (log z) t) y)

simplify923.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1054
1	289
0	131

prune395.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes496.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample13.7s

Algorithm

intervals

Results

7.6s	41268×	body	80	nan
2.2s	12494×	body	80	valid
306.0ms	377×	body	640	valid
253.0ms	450×	body	320	valid
113.0ms	86×	body	1280	valid
89.0ms	287×	body	160	valid