Details

sample182.0ms

Algorithm

intervals

Results

75.0ms	1294×	body	80	nan
25.0ms	393×	body	80	valid
6.0ms	13×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	1×	body	1280	valid

simplify2.5s

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize16.0ms

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))
1.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.8b	(log (- 1.0 z))

rewrite53.0ms

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:

17.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
2.0ms	(log (- 1.0 z))

series436.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
71.0ms	(* y (- (log z) t))
184.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
43.0ms	(log (- 1.0 z))

simplify702.0ms

Counts

113 → 113

Iterations

Useful iterations: done (694.0ms)

Iter	Nodes	Cost
0	257	1795
1	621	1715
2	1957	1590
done	5001	1563

prune634.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(* y (- (log z) t))
1.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite638.0ms

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:

105.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
415.0ms	(* 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)))

series581.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
103.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
70.0ms	(* y (- (log z) t))
238.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify701.0ms

Counts

135 → 135

Iterations

Useful iterations: done (697.0ms)

Iter	Nodes	Cost
0	265	3383
1	635	3262
2	2028	3067
done	5000	3062

prune592.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
1.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
1.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
1.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite327.0ms

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:

14.0ms	(* 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)))
104.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series791.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* y (- (log z) t))
240.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
240.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
238.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify607.0ms

Counts

162 → 162

Iterations

Useful iterations: done (600.0ms)

Iter	Nodes	Cost
0	195	5114
1	485	4968
2	1606	4748
done	5000	4543

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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×	`add-exp-log` `associate-r`
4×	`distribute-lft-out--`
3×	`log-prod` `exp-prod` `associate--l+`
2×	`flip3--` `exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `flip--` `cbrt-unprod` `rem-exp-log` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `sum-log`

Counts

4 → 73

Calls

4 calls:

3.0ms	(- (log z) t)
8.0ms	(exp (+ (* a (log 1.0)) (* (- (log z) t) y)))
24.0ms	(* x (exp (+ (* a (log 1.0)) (* (- (log z) t) y))))
12.0ms	(* (- (log z) t) y)

series403.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (log z) t)
94.0ms	(exp (+ (* a (log 1.0)) (* (- (log z) t) y)))
160.0ms	(* x (exp (+ (* a (log 1.0)) (* (- (log z) t) y))))
86.0ms	(* (- (log z) t) y)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: 3 (491.0ms)

Iter	Nodes	Cost
0	139	1017
1	292	991
2	751	801
3	2875	778
done	5000	778

prune267.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	40731×	body	80	nan
785.0ms	12420×	body	80	valid
139.0ms	395×	body	640	valid
85.0ms	383×	body	320	valid
53.0ms	73×	body	1280	valid
41.0ms	297×	body	160	valid