Details

sample377.0ms

Algorithm

intervals

Results

155.0ms	1418×	body	80	nan
39.0ms	417×	body	80	valid
28.0ms	17×	body	320	valid
8.0ms	15×	body	640	valid
4.0ms	19×	body	160	valid
2.0ms	3×	body	1280	valid

simplify754.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (58.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	127	18
4	350	17
5	1256	17
done	5001	17

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.8b	(log (- 1.0 z))

rewrite133.0ms

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×	`add-cube-cbrt` `associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `associate-r` `add-cbrt-cube` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `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 → 101

Calls

4 calls:

45.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
27.0ms	(* y (- (log z) t))
47.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
8.0ms	(log (- 1.0 z))

series639.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
94.0ms	(* y (- (log z) t))
261.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
55.0ms	(log (- 1.0 z))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	257	1795
1	663	1715
2	2375	1592
done	5001	1578

prune801.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

961.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
228.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
47.0ms	(* y (- (log z) t))
243.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series868.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
315.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
82.0ms	(* y (- (log z) t))
333.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.9s

Counts

135 → 135

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	265	3383
1	705	3262
2	2632	3069
done	5002	3057

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite838.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

27.0ms	(* y (- (log z) t))
273.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
246.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
279.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.3s

Counts

4 → 12

Calls

4 calls:

104.0ms	(* y (- (log z) t))
346.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
398.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
421.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.0s

Counts

162 → 162

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	195	5114
1	519	4968
2	1860	4750
done	5000	4554

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

8.0ms	(- (log z) t)
47.0ms	(* y (- (log z) t))

series199.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(- (log z) t)
114.0ms	(* y (- (log z) t))

simplify2.4s

Counts

57 → 57

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	98	485
1	218	468
2	672	422
3	3433	413
done	5000	409

prune343.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes534.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	91
1	36	91
done	36	91

end0.0ms

sample14.5s

Algorithm

intervals

Results

6.4s	41278×	body	80	nan
2.8s	12555×	body	80	valid
342.0ms	406×	body	640	valid
175.0ms	379×	body	320	valid
89.0ms	74×	body	1280	valid
62.0ms	252×	body	160	valid