Details

sample190.0ms

Algorithm

intervals

Results

64.0ms	1295×	body	80	nan
24.0ms	383×	body	80	valid
5.0ms	15×	body	640	valid
4.0ms	5×	body	1280	valid
3.0ms	13×	body	320	valid
2.0ms	13×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	10
1	62	10
2	137	10
3	344	10
4	1155	10
5	5001	10
done	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.2b	(* y (- (log z) t))
5.5b	(log (- 1.0 z))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

84×	`prod-diff`
76×	`add-sqr-sqrt` `*-un-lft-identity`
64×	`add-cube-cbrt`
53×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
34×	`associate-+l+`
31×	`pow1`
30×	`log-prod`
25×	`associate--l+` `log-pow`
10×	`associate-*r/`
7×	`add-exp-log` `sub-neg` `flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`associate-r` `add-cbrt-cube`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `fma-neg` `frac-add` `log1p-expm1-u`
3×	`associate-l`
2×	`log-div`
1×	`+-commutative` `fma-def` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

9.0ms	(- (log z) t)
36.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
29.0ms	(* y (- (log z) t))
6.0ms	(log (- 1.0 z))

series362.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (log z) t)
186.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
72.0ms	(* y (- (log z) t))
43.0ms	(log (- 1.0 z))

simplify88.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	856	1981
1	3296	1486
2	5002	1485
done	5002	1485

prune634.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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	(+ (* y (- (log z) t)) (* 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))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

168×	`prod-diff`
155×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
109×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
92×	`associate--l+`
74×	`associate-+r+`
46×	`pow1`
38×	`log-pow`
34×	`associate-+l+`
31×	`distribute-lft-out--`
24×	`log-prod`
14×	`difference-of-squares`
13×	`associate-r`
12×	`sub-neg` `associate-*r/`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `associate-l` `flip--`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`exp-prod`
2×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `exp-sum` `flip-+`

Counts

4 → 300

Calls

4 calls:

683.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
242.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
163.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
30.0ms	(* y (- (log z) t))

series610.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* 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)))
184.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
75.0ms	(* y (- (log z) t))

simplify148.0ms

Counts

312 → 312

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	1091	5982
1	4469	4426
2	5001	4422
done	5001	4422

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

168×	`prod-diff`
156×	`*-un-lft-identity`
142×	`add-sqr-sqrt`
110×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
92×	`associate--l+`
74×	`associate-+r+`
47×	`pow1`
38×	`log-pow`
34×	`associate-+l+`
31×	`distribute-lft-out--`
24×	`log-prod`
14×	`difference-of-squares`
13×	`associate-r`
12×	`sub-neg` `associate-*r/`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`flip3--` `associate-l` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`unpow-prod-up` `+-commutative` `pow-to-exp` `e-exp-1` `pow-pow` `fma-def` `flip3-+` `sum-log` `flip-+` `sqr-pow`

Counts

4 → 306

Calls

4 calls:

677.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
241.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
133.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
30.0ms	(* y (- (log z) t))

series604.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
243.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
184.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
75.0ms	(* y (- (log z) t))

simplify150.0ms

Counts

318 → 318

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1145	6140
1	4915	4592
2	5001	4592
done	5001	4592

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

168×	`prod-diff`
156×	`*-un-lft-identity`
142×	`add-sqr-sqrt`
110×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
92×	`associate--l+`
74×	`associate-+r+`
47×	`pow1`
38×	`log-pow`
34×	`associate-+l+`
31×	`distribute-lft-out--`
24×	`log-prod`
14×	`difference-of-squares`
13×	`associate-r`
12×	`sub-neg` `associate-*r/`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`flip3--` `associate-l` `flip--` `add-log-exp`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`unpow-prod-up` `+-commutative` `pow-to-exp` `e-exp-1` `pow-pow` `fma-def` `flip3-+` `sum-log` `flip-+` `sqr-pow`

Counts

4 → 306

Calls

4 calls:

670.0ms	(* 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)))
136.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
27.0ms	(* y (- (log z) t))

series610.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
243.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
188.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
73.0ms	(* y (- (log z) t))

simplify155.0ms

Counts

318 → 318

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1145	6140
1	4915	4592
2	5001	4592
done	5001	4592

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	18
1	35	18
done	35	18

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.1s	40982×	body	80	nan
730.0ms	12449×	body	80	valid
114.0ms	348×	body	640	valid
84.0ms	414×	body	320	valid
49.0ms	70×	body	1280	valid
36.0ms	295×	body	160	valid