Details

sample445.0ms

Algorithm

intervals

Results

232.0ms	1427×	body	80	nan
66.0ms	431×	body	80	valid
41.0ms	15×	body	320	valid
10.0ms	11×	body	640	valid
4.0ms	2×	body	1280	valid
3.0ms	8×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1044
4	347
3	135
2	62
1	31
0	17

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
0.0b	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
0.3b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
6.5b	(log (- 1.0 z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`log-prod` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `associate-l` `fma-udef`
2×	`log-div` `exp-sum`
1×	`flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

15.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
3.0ms	(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))
7.0ms	(log (- 1.0 z))

series708.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
207.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
201.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
73.0ms	(log (- 1.0 z))

simplify1.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	5004
3	2445
2	866
1	358
0	159

prune594.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
0.0b	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
0.3b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite20.0ms

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-r` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `exp-prod` `associate-l` `associate--l+` `fma-udef`
2×	`exp-sum` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (log z) t)
9.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
3.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
1.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series891.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (log z) t)
293.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
214.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
288.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify2.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	2807
2	866
1	361
0	167

prune704.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`prod-diff`
34×	`add-cube-cbrt`
20×	`pow1`
17×	`distribute-rgt-in` `distribute-lft-in`
12×	`log-pow`
10×	`associate-r`
9×	`log-prod` `associate--l+`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`exp-prod` `sub-neg`
2×	`flip3--` `exp-sum` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `fma-udef` `flip--` `difference-of-squares` `unswap-sqr`
1×	`diff-log` `rem-exp-log`

Counts

4 → 134

Calls

4 calls:

7.0ms	(- (log z) t)
14.0ms	(* x (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t)))))
2.0ms	(exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))
27.0ms	(* y (- (log z) t))

series517.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (log z) t)
193.0ms	(* x (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t)))))
152.0ms	(exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))
79.0ms	(* y (- (log z) t))

simplify2.5s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
3	3873
2	1207
1	504
0	232

prune935.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (expm1 (log1p (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t)))))))
0.0b	(exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))
0.0b	(expm1 (log1p (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))))
0.1b	(* y (- (log z) t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`pow1`
9×	`associate-r`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`log-prod` `associate-l` `associate--l+`
5×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`expm1-log1p` `flip3--` `exp-sum` `fma-udef` `flip--` `expm1-udef` `difference-of-squares` `rem-exp-log`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* x (expm1 (log1p (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t)))))))
8.0ms	(exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))
0.0ms	(expm1 (log1p (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))))
19.0ms	(* y (- (log z) t))

series948.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(* x (expm1 (log1p (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t)))))))
173.0ms	(exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))
312.0ms	(expm1 (log1p (exp (fma a (- (fma (* -1/2 (* 1.0 z)) z (- (log 1.0) (* 1.0 z))) b) (* y (- (log z) t))))))
103.0ms	(* y (- (log z) t))

simplify2.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	3777
2	1173
1	480
0	228

prune829.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes552.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample14.3s

Algorithm

intervals

Results

8.5s	40544×	body	80	nan
2.3s	12742×	body	80	valid
264.0ms	334×	body	640	valid
250.0ms	390×	body	320	valid
112.0ms	255×	body	160	valid
95.0ms	75×	body	1280	valid