Details

sample352.0ms

Algorithm

intervals

Results

135.0ms	1237×	body	80	nan
78.0ms	390×	body	80	valid
9.0ms	13×	body	640	valid
6.0ms	15×	body	320	valid
4.0ms	3×	body	1280	valid
3.0ms	11×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize31.0ms

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))
5.6b	(log (- 1.0 z))

rewrite33.0ms

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` `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 → 63

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))
9.0ms	(log (- 1.0 z))

series804.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
242.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
259.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
63.0ms	(log (- 1.0 z))

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	4037
2	1058
1	354
0	155

prune682.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a)
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))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

25.0ms	(* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a)
14.0ms	(* 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)))
1.0ms	(fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))

series917.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a)
284.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))))
214.0ms	(exp (fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a)))
310.0ms	(fma y (- (log z) t) (* (- (fma (* (/ z 1.0) (/ z 1.0)) -1/2 (- (log 1.0) (* 1.0 z))) b) a))

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1053
1	310
0	138

prune758.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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` `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 → 96

Calls

4 calls:

8.0ms	(- (log z) t)
10.0ms	(* x (exp (fma (fma 1.0 (* (* z z) -1/2) (- (- (log 1.0) (* z 1.0)) b)) a (* (- (log z) t) y))))
2.0ms	(exp (fma (fma 1.0 (* (* z z) -1/2) (- (- (log 1.0) (* z 1.0)) b)) a (* (- (log z) t) y)))
22.0ms	(* (- (log z) t) y)

series576.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (log z) t)
270.0ms	(* x (exp (fma (fma 1.0 (* (* z z) -1/2) (- (- (log 1.0) (* z 1.0)) b)) a (* (- (log z) t) y))))
154.0ms	(exp (fma (fma 1.0 (* (* z z) -1/2) (- (- (log 1.0) (* z 1.0)) b)) a (* (- (log z) t) y)))
88.0ms	(* (- (log z) t) y)

simplify1.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1410
1	434
0	191

prune858.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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` `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 → 104

Calls

4 calls:

7.0ms	(* x (expm1 (log1p (exp (fma (- (fma (* 1.0 z) (* z -1/2) (- (log 1.0) (* 1.0 z))) b) a (* y (- (log z) t)))))))
0.0ms	(expm1 (log1p (exp (fma (- (fma (* 1.0 z) (* z -1/2) (- (log 1.0) (* 1.0 z))) b) a (* y (- (log z) t))))))
3.0ms	(exp (fma (- (fma (* 1.0 z) (* z -1/2) (- (log 1.0) (* 1.0 z))) b) a (* y (- (log z) t))))
25.0ms	(* y (- (log z) t))

series904.0ms

Counts

4 → 12

Calls

4 calls:

377.0ms	(* x (expm1 (log1p (exp (fma (- (fma (* 1.0 z) (* z -1/2) (- (log 1.0) (* 1.0 z))) b) a (* y (- (log z) t)))))))
272.0ms	(expm1 (log1p (exp (fma (- (fma (* 1.0 z) (* z -1/2) (- (log 1.0) (* 1.0 z))) b) a (* y (- (log z) t))))))
161.0ms	(exp (fma (- (fma (* 1.0 z) (* z -1/2) (- (log 1.0) (* 1.0 z))) b) a (* y (- (log z) t))))
93.0ms	(* y (- (log z) t))

simplify1.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1541
1	486
0	223

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes491.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample11.0s

Algorithm

intervals

Results

5.9s	40502×	body	80	nan
1.8s	12397×	body	80	valid
197.0ms	334×	body	640	valid
185.0ms	432×	body	320	valid
73.0ms	71×	body	1280	valid
54.0ms	257×	body	160	valid