Details

sample334.0ms

Algorithm

intervals

Results

111.0ms	1165×	body	80	nan
37.0ms	365×	body	80	valid
33.0ms	9×	body	640	valid
8.0ms	11×	body	160	valid
7.0ms	18×	body	320	valid
2.0ms	2×	body	1280	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
0.6b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
5.3b	(log (- 1.0 z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`pow1` `prod-diff`
8×	`log-prod`
6×	`add-cbrt-cube` `add-exp-log` `log-pow`
5×	`add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
3×	`associate-l` `associate--l+` `distribute-lft-out--`
2×	`log-div` `flip3--` `fma-udef` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

13.0ms	(- (log z) t)
16.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
0.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
10.0ms	(log (- 1.0 z))

series679.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (log z) t)
238.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
286.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
82.0ms	(log (- 1.0 z))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1399
1	468
0	204

prune736.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
0.0b	(* x (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))
0.0b	(- (log z) t)
0.6b	(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
14×	`pow1`
12×	`prod-diff`
10×	`associate-l`
8×	`add-cbrt-cube`
7×	`associate-r` `add-exp-log` `distribute-lft-out--`
6×	`log-pow`
5×	`add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`log-prod` `associate--l+`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef` `flip--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `exp-sum`

Counts

4 → 93

Calls

4 calls:

129.0ms	(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
22.0ms	(* x (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))
12.0ms	(- (log z) t)
1.0ms	(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

series780.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a)
287.0ms	(* x (exp (fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))))
103.0ms	(- (log z) t)
302.0ms	(fma y (- (log z) t) (* (- (- (log 1.0) (fma z 1.0 (* (* (/ z 1.0) (/ z 1.0)) 1/2))) b) a))

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1397
1	430
0	189

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
17×	`add-cube-cbrt`
14×	`pow1`
12×	`prod-diff`
9×	`associate-l`
8×	`add-cbrt-cube`
7×	`associate-r` `add-exp-log`
6×	`log-pow`
5×	`add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef` `flip--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `exp-sum`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma (- (log 1.0) (fma 1.0 z (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) a (* (- (log z) t) y))
9.0ms	(* x (exp (fma (- (log 1.0) (fma 1.0 z (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) a (* (- (log z) t) y))))
8.0ms	(- (log z) t)
32.0ms	(* (- (log z) t) y)

series832.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(fma (- (log 1.0) (fma 1.0 z (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) a (* (- (log z) t) y))
315.0ms	(* x (exp (fma (- (log 1.0) (fma 1.0 z (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) a (* (- (log z) t) y))))
92.0ms	(- (log z) t)
105.0ms	(* (- (log z) t) y)

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1399
1	417
0	181

prune947.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
20×	`add-cube-cbrt`
17×	`pow1`
15×	`associate-l`
13×	`associate-r`
12×	`prod-diff`
10×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`distribute-lft-out--`
5×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `associate-*l/` `log1p-expm1-u` `unswap-sqr`
3×	`log-prod` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `exp-sum` `fma-udef`

Counts

4 → 111

Calls

4 calls:

7.0ms	(- (log z) t)
21.0ms	(* x (sqrt (exp (fma (- (log 1.0) (fma 1.0 z (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) a (* (- (log z) t) y)))))
37.0ms	(* (- (log z) t) y)
21.0ms	(* (- (log z) t) y)

series806.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (log z) t)
437.0ms	(* x (sqrt (exp (fma (- (log 1.0) (fma 1.0 z (fma (* (/ z 1.0) (/ z 1.0)) 1/2 b))) a (* (- (log z) t) y)))))
123.0ms	(* (- (log z) t) y)
124.0ms	(* (- (log z) t) y)

simplify1.5s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1295
1	404
0	180

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes755.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	28
2	28
1	27
0	22

end0.0ms

sample12.9s

Algorithm

intervals

Results

5.6s	41264×	body	80	nan
2.4s	12462×	body	80	valid
327.0ms	351×	body	640	valid
153.0ms	381×	body	320	valid
93.0ms	65×	body	1280	valid
58.0ms	265×	body	160	valid