Details

sample397.0ms

Algorithm

intervals

Results

221.0ms	1427×	body	80	nan
61.0ms	431×	body	80	valid
8.0ms	11×	body	640	valid
8.0ms	15×	body	320	valid
3.0ms	2×	body	1280	valid
2.0ms	8×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1132
4	356
3	135
2	62
1	31
0	17

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize51.0ms

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))

rewrite31.0ms

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:

18.0ms	(* 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))
8.0ms	(log (- 1.0 z))

series741.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
177.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
264.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
77.0ms	(log (- 1.0 z))

simplify1.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	5003
3	2810
2	922
1	358
0	159

prune643.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

11.0ms	(- (log z) t)
15.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))))
3.0ms	(exp (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a)))
0.0ms	(fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))

series930.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (log z) t)
310.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))))
218.0ms	(exp (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a)))
320.0ms	(fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))

simplify2.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	3115
2	931
1	361
0	167

prune792.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

14.0ms	(- (log z) t)
19.0ms	(* x (exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y))))
4.0ms	(exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y)))
49.0ms	(* (- (log z) t) y)

series697.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (log z) t)
259.0ms	(* x (exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y))))
208.0ms	(exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y)))
138.0ms	(* (- (log z) t) y)

simplify2.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
3	3548
2	1069
1	420
0	189

prune729.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

11.0ms	(* x (expm1 (log1p (exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y))))))
2.0ms	(exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y)))
0.0ms	(expm1 (log1p (exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y)))))
21.0ms	(* (- (log z) t) y)

series963.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(* x (expm1 (log1p (exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y))))))
163.0ms	(exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y)))
329.0ms	(expm1 (log1p (exp (fma a (- (fma (* -1/2 z) (* 1.0 z) (- (log 1.0) (* 1.0 z))) b) (* (- (log z) t) y)))))
127.0ms	(* (- (log z) t) y)

simplify2.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	3306
2	882
1	329
0	153

prune686.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes551.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample14.6s

Algorithm

intervals

Results

7.8s	40544×	body	80	nan
2.7s	12742×	body	80	valid
747.0ms	334×	body	640	valid
208.0ms	390×	body	320	valid
161.0ms	75×	body	1280	valid
88.0ms	255×	body	160	valid