Details

sample177.0ms

Algorithm

intervals

Results

59.0ms	1164×	body	80	nan
22.0ms	378×	body	80	valid
6.0ms	16×	body	320	valid
5.0ms	16×	body	640	valid
1.0ms	8×	body	160	valid
1.0ms	1×	body	1280	valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10
done	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

24.0ms	(* y (- (log z) t))
107.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
25.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series496.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* y (- (log z) t))
175.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
202.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
43.0ms	(log (- 1.0 z))

simplify68.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	675	1085
1	2724	1003
2	5001	985
done	5001	985

prune429.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

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))
0.1b	(* y (- (log z) t))
0.2b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
1.0b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

572.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
24.0ms	(* y (- (log z) t))
458.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
149.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
70.0ms	(* y (- (log z) t))
243.0ms	(* x (exp (+ (* 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)))

simplify89.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	677	1907
1	3019	1768
2	5001	1757
done	5001	1757

prune584.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite591.0ms

Algorithm

rewrite-expression-head

Rules

66×	`associate--l+`
42×	`associate-+r+`
36×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
30×	`associate-+l+`
24×	`associate-*r/`
18×	`sub-neg`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`flip3--` `frac-add` `flip--`
10×	`add-log-exp`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
3×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow1/3` `exp-sum`

Counts

4 → 129

Calls

4 calls:

147.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
144.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
146.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
147.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.0s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
248.0ms	(+ (* 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)))
240.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify62.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	481	2833
1	1718	2697
2	5002	2680
done	5002	2680

prune978.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

8.0ms	(- (log z) t)
101.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
27.0ms	(* y (- (log z) t))

series312.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (log z) t)
166.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
70.0ms	(* y (- (log z) t))

simplify110.0ms

Counts

79 → 79

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	300	500
1	1132	428
2	4952	416
3	5001	414
done	5001	414

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	51
1	36	51
done	36	51

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.1s	40570×	body	80	nan
724.0ms	12463×	body	80	valid
125.0ms	381×	body	640	valid
76.0ms	385×	body	320	valid
49.0ms	71×	body	1280	valid
34.0ms	281×	body	160	valid