Details

sample424.0ms

Algorithm

intervals

Results

198.0ms	1376×	body	80	nan
40.0ms	376×	body	80	valid
10.0ms	19×	body	640	valid
7.0ms	17×	body	320	valid
6.0ms	4×	body	1280	valid
2.0ms	11×	body	160	valid

simplify844.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1338
4	377
3	135
2	62
1	31
0	17

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.1b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
5.0b	(log (- 1.0 z))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
66×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
56×	`add-cube-cbrt`
53×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
34×	`associate-+l+`
27×	`log-prod`
26×	`pow1`
22×	`associate--l+`
20×	`log-pow`
10×	`associate-*r/`
9×	`add-log-exp`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `add-cbrt-cube` `associate-r` `flip--`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `rem-exp-log`
1×	`+-commutative` `fma-def` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 182

Calls

4 calls:

34.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
59.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
23.0ms	(* y (- (log z) t))
5.0ms	(log (- 1.0 z))

series639.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
199.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
137.0ms	(* y (- (log z) t))
82.0ms	(log (- 1.0 z))

simplify1.4s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	3693
1	970
0	370

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b)))))
0.0b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b)))
0.1b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b))))
0.2b	(* y (- (log z) t))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

108×	`prod-diff`
96×	`*-un-lft-identity`
93×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
74×	`associate-+r+`
71×	`distribute-rgt-in` `distribute-lft-in`
52×	`associate--l+`
34×	`associate-+l+`
33×	`pow1`
25×	`log-pow`
18×	`log-prod`
14×	`distribute-lft-out--`
10×	`associate-r` `associate-*r/`
9×	`add-log-exp`
8×	`sub-neg` `add-cbrt-cube`
7×	`add-exp-log` `difference-of-squares`
6×	`associate-l`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`exp-prod`
2×	`sum-log` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`
1×	`+-commutative` `fma-def` `flip3-+` `flip-+`

Counts

4 → 221

Calls

4 calls:

167.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b)))))
61.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b)))
47.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b))))
51.0ms	(* y (- (log z) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b)))))
377.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b)))
238.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b))))
103.0ms	(* y (- (log z) t))

simplify1.7s

Counts

233 → 233

Iterations

Iter	Nodes
done	5000
2	3957
1	1107
0	437

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
26×	`add-cube-cbrt`
24×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
16×	`pow1`
9×	`associate-r` `associate-l`
8×	`add-cbrt-cube` `add-exp-log` `log-pow` `add-log-exp`
6×	`log-prod` `exp-prod` `associate--l+`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
3×	`rem-exp-log`
2×	`sub-neg` `flip3--` `exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`
1×	`sum-log` `fma-udef`

Counts

4 → 113

Calls

4 calls:

3.0ms	(exp (fma a (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (fma 1.0 z b))) (* (- (log z) t) y)))
82.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b))))
33.0ms	(* y (- (log z) t))
22.0ms	(* (- (log z) t) y)

series700.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(exp (fma a (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (fma 1.0 z b))) (* (- (log z) t) y)))
238.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma (/ 1/2 1.0) (/ (pow z 2) 1.0) (* 1.0 z))) b))))
123.0ms	(* y (- (log z) t))
138.0ms	(* (- (log z) t) y)

simplify1.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1802
1	507
0	232

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
72×	`*-un-lft-identity` `prod-diff`
60×	`add-cube-cbrt`
51×	`distribute-rgt-in` `distribute-lft-in`
34×	`pow1`
22×	`log-pow`
21×	`associate-r`
18×	`log-prod` `associate--l+`
15×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--`
6×	`sub-neg` `associate-*r/`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 202

Calls

4 calls:

47.0ms	(* y (- (log z) t))
49.0ms	(* y (- (log z) t))
45.0ms	(* y (- (log z) t))
42.0ms	(* (- (log z) t) y)

series478.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* y (- (log z) t))
94.0ms	(* y (- (log z) t))
140.0ms	(* y (- (log z) t))
122.0ms	(* (- (log z) t) y)

simplify927.0ms

Counts

214 → 214

Iterations

Iter	Nodes
done	5002
2	1390
1	353
0	158

prune2.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes770.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample13.9s

Algorithm

intervals

Results

7.0s	41267×	body	80	nan
1.6s	12500×	body	80	valid
306.0ms	416×	body	640	valid
294.0ms	431×	body	320	valid
139.0ms	301×	body	160	valid
98.0ms	64×	body	1280	valid