Details

sample429.0ms

Algorithm

intervals

Results

165.0ms	1488×	body	80	nan
73.0ms	417×	body	80	valid
7.0ms	12×	body	640	valid
6.0ms	17×	body	320	valid
4.0ms	3×	body	1280	valid
2.0ms	9×	body	160	valid

simplify916.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	135	17
4	379	17
5	1360	17
done	5000	17

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
3.8b	(log (- 1.0 z))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
48×	`prod-diff`
43×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in`
25×	`pow1`
21×	`log-prod`
16×	`associate-r` `associate--l+`
15×	`log-pow`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`distribute-lft-out--`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`log-div`
1×	`rem-log-exp` `exp-sum`

Counts

4 → 161

Calls

4 calls:

45.0ms	(* a (- (log (- 1.0 z)) b))
128.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
40.0ms	(* y (- (log z) t))
7.0ms	(log (- 1.0 z))

series455.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* a (- (log (- 1.0 z)) b))
219.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
77.0ms	(* y (- (log z) t))
51.0ms	(log (- 1.0 z))

simplify2.1s

Counts

173 → 173

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	365	3068
1	862	2560
2	2970	2126
done	5001	2020

prune637.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
96×	`prod-diff`
93×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
54×	`distribute-rgt-in` `distribute-lft-in`
49×	`associate--l+`
35×	`pow1`
25×	`log-pow`
21×	`distribute-lft-out--`
17×	`associate-r`
15×	`log-prod`
10×	`add-cbrt-cube`
9×	`add-exp-log` `associate-l` `difference-of-squares`
7×	`sub-neg`
5×	`add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `associate-*r/` `log1p-expm1-u`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`diff-log` `exp-sum`

Counts

4 → 216

Calls

4 calls:

11.0ms	(- (log z) t)
241.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))
129.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
42.0ms	(* y (- (log z) t))

series549.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (log z) t)
264.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))
112.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
77.0ms	(* y (- (log z) t))

simplify1.6s

Counts

228 → 228

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	401	7407
1	915	5703
2	3214	4587
done	5001	4537

prune902.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
84×	`add-sqr-sqrt` `prod-diff`
60×	`add-cube-cbrt`
54×	`distribute-rgt-in` `distribute-lft-in`
46×	`associate--l+`
31×	`pow1`
21×	`log-pow` `distribute-lft-out--`
16×	`associate-r`
12×	`log-prod` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`difference-of-squares`
6×	`sub-neg`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`associate-*l/`
1×	`fma-udef`

Counts

4 → 194

Calls

4 calls:

0.0ms	(fma (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) a (* (- (log z) t) y))
193.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
37.0ms	(* y (- (log z) t))
31.0ms	(* (- (log z) t) y)

series685.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(fma (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) a (* (- (log z) t) y))
112.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
103.0ms	(* y (- (log z) t))
143.0ms	(* (- (log z) t) y)

simplify1.6s

Counts

206 → 206

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	386	6737
1	854	5164
2	3207	4162
done	5001	4135

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes250.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	57
1	38	57
done	38	57

end0.0ms

sample13.5s

Algorithm

intervals

Results

6.7s	41072×	body	80	nan
2.0s	12533×	body	80	valid
226.0ms	386×	body	640	valid
173.0ms	389×	body	320	valid
68.0ms	61×	body	1280	valid
62.0ms	292×	body	160	valid