Details

sample354.0ms

Algorithm

intervals

Results

183.0ms	1336×	body	80	nan
46.0ms	386×	body	80	valid
9.0ms	16×	body	640	valid
5.0ms	14×	body	320	valid
3.0ms	2×	body	1280	valid
3.0ms	11×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	497
1	30	497
2	58	497
3	127	497
4	334	497
5	1059	497
done	5004	497

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.8b	(log (- 1.0 z))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

37.0ms	(* a (- (log (- 1.0 z)) b))
20.0ms	(* y (- (log z) t))
37.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(log (- 1.0 z))

series462.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* a (- (log (- 1.0 z)) b))
90.0ms	(* y (- (log z) t))
227.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
57.0ms	(log (- 1.0 z))

simplify2.3s

Counts

137 → 137

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	285	49625
1	720	44856
2	2124	43684
done	5008	43480

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (* a z)) (* a b))
0.0b	(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

12.0ms	(+ (* 1.0 (* a z)) (* a b))
861.0ms	(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))))
37.0ms	(* y (- (log z) t))
126.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

series607.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* 1.0 (* a z)) (* a b))
227.0ms	(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))))
91.0ms	(* y (- (log z) t))
235.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

simplify3.3s

Counts

112 → 112

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	231	51855
1	659	48384
2	2486	47710
done	5001	47588

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
0.3b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

41.0ms	(* y (- (log z) t))
40.0ms	(* y (- (log z) t))
97.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
94.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

series676.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* y (- (log z) t))
111.0ms	(* y (- (log z) t))
211.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
230.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

simplify2.4s

Counts

150 → 150

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	183	68936
1	508	62818
2	1883	61850
done	5002	61606

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize127.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
0.3b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
0.3b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod` `associate--l+`
31×	`add-log-exp`
30×	`associate-+l+`
29×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt` `associate-+r+`
23×	`*-un-lft-identity`
20×	`add-cube-cbrt`
14×	`associate-*r/`
13×	`flip3--` `flip--`
12×	`sum-log` `frac-add`
11×	`sub-neg`
7×	`pow1`
6×	`add-cbrt-cube` `diff-log` `associate-r` `add-exp-log`
3×	`+-commutative` `associate-+r-` `flip3-+` `associate-l` `flip-+`
2×	`distribute-lft-out--`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

21.0ms	(* y (- (log z) t))
95.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
121.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
69.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

series769.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* y (- (log z) t))
200.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
242.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))
225.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* 1.0 (* a z)) (* a b))))

simplify2.4s

Counts

153 → 153

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	183	85836
1	508	78009
2	1883	76961
done	5002	76675

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes668.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	617
1	28	617
done	28	617

end0.0ms

sample11.7s

Algorithm

intervals

Results

6.5s	41133×	body	80	nan
1.7s	12640×	body	80	valid
256.0ms	378×	body	640	valid
205.0ms	384×	body	320	valid
119.0ms	61×	body	1280	valid
85.0ms	268×	body	160	valid