Details

sample188.0ms

Algorithm

intervals

Results

78.0ms	1371×	body	80	nan
25.0ms	422×	body	80	valid
4.0ms	5×	body	1280	valid
4.0ms	19×	body	320	valid
3.0ms	10×	body	640	valid
1.0ms	11×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	119	17
4	306	17
5	1037	17
done	5000	17

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (log (- 1.0 z)) b))
0.3b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.6b	(log (- 1.0 z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
19×	`pow1` `distribute-rgt-in` `distribute-lft-in`
18×	`log-prod`
13×	`associate--l+` `log-pow`
7×	`add-exp-log` `distribute-lft-out--`
6×	`associate-r` `add-cbrt-cube`
5×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`log-div` `associate-*r/`
1×	`diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

5.0ms	(- (log z) t)
21.0ms	(* a (- (log (- 1.0 z)) b))
0.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series389.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (log z) t)
80.0ms	(* a (- (log (- 1.0 z)) b))
197.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
46.0ms	(log (- 1.0 z))

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	278	2181
1	567	1806
2	1304	1508
3	3993	1383
done	5000	1381

prune404.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
0.0b	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
0.0b	(- (log z) t)
0.3b	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

1.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
6.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
5.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

series578.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z)))))
219.0ms	(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))) x)
68.0ms	(- (log z) t)
165.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) b) (* 1.0 z))))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	159	1611
1	335	1421
2	767	1214
3	2371	1163
done	5001	1161

prune363.0ms

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	(* (log (exp (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))))) x)
0.0b	(- (log z) t)
0.0b	(exp (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))))
0.3b	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (log (exp (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))))) x)
5.0ms	(- (log z) t)
2.0ms	(exp (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))))
1.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

series659.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (log (exp (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))))) x)
66.0ms	(- (log z) t)
202.0ms	(exp (exp (fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))))
159.0ms	(fma y (- (log z) t) (* (- (log 1.0) (fma 1.0 z b)) a))

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	1703
1	353	1512
2	783	1295
3	2315	1245
done	5000	1243

prune409.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (fma (- (log 1.0) (fma 1.0 z b)) a (* y (- (log z) t)))) x)
0.0b	(- (log z) t)
0.1b	(* y (- (log z) t))
0.3b	(fma (- (log 1.0) (fma 1.0 z b)) a (* y (- (log z) t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

6.0ms	(* (exp (fma (- (log 1.0) (fma 1.0 z b)) a (* y (- (log z) t)))) x)
4.0ms	(- (log z) t)
15.0ms	(* y (- (log z) t))
0.0ms	(fma (- (log 1.0) (fma 1.0 z b)) a (* y (- (log z) t)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (exp (fma (- (log 1.0) (fma 1.0 z b)) a (* y (- (log z) t)))) x)
68.0ms	(- (log z) t)
79.0ms	(* y (- (log z) t))
171.0ms	(fma (- (log 1.0) (fma 1.0 z b)) a (* y (- (log z) t)))

simplify1.7s

Counts

138 → 138

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	215	2276
1	425	1918
2	1033	1580
3	3641	1465
done	5000	1461

prune382.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	20
1	20	20
done	20	20

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	40829×	body	80	nan
766.0ms	12499×	body	80	valid
125.0ms	351×	body	640	valid
92.0ms	425×	body	320	valid
53.0ms	74×	body	1280	valid
35.0ms	267×	body	160	valid