Details

sample391.0ms

Algorithm

intervals

Results

181.0ms	1232×	body	80	nan
107.0ms	370×	body	80	valid
9.0ms	10×	body	640	valid
3.0ms	7×	body	320	valid
3.0ms	9×	body	160	valid
2.0ms	1×	body	1280	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1059
4	334
3	127
2	58
1	30
0	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize52.0ms

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))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.7b	(log (- 1.0 z))

rewrite113.0ms

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:

50.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
28.0ms	(* y (- (log z) t))
27.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms	(log (- 1.0 z))

series620.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
111.0ms	(* y (- (log z) t))
279.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
62.0ms	(log (- 1.0 z))

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2040
1	646
0	258

prune865.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
0.0b	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

rewrite663.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

136.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
378.0ms	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
35.0ms	(* y (- (log z) t))
110.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

series760.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))))
129.0ms	(* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b))
124.0ms	(* y (- (log z) t))
336.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

simplify2.2s

Counts

145 → 145

Iterations

Iter	Nodes
done	5003
2	2157
1	692
0	272

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
0.8b	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

rewrite619.0ms

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:

20.0ms	(* y (- (log z) t))
18.0ms	(* y (- (log z) t))
95.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
481.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

series836.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* y (- (log z) t))
93.0ms	(* y (- (log z) t))
313.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))
321.0ms	(+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* 1.0 z)) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) b)))

simplify1.9s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	1660
1	519
0	201

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

91.0ms	(* x (exp (+ (* (log 1.0) a) (* (- (log z) t) y))))
12.0ms	(- (log z) t)
38.0ms	(exp (+ (* (log 1.0) a) (* (- (log z) t) y)))
39.0ms	(* (- (log z) t) y)

series497.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* x (exp (+ (* (log 1.0) a) (* (- (log z) t) y))))
74.0ms	(- (log z) t)
132.0ms	(exp (+ (* (log 1.0) a) (* (- (log z) t) y)))
108.0ms	(* (- (log z) t) y)

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
3	2531
2	726
1	304
0	142

prune476.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes337.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample13.6s

Algorithm

intervals

Results

7.5s	40040×	body	80	nan
2.1s	12643×	body	80	valid
316.0ms	350×	body	640	valid
266.0ms	387×	body	320	valid
91.0ms	286×	body	160	valid
80.0ms	61×	body	1280	valid