Details

sample373.0ms

Algorithm

intervals

Results

135.0ms	1295×	body	80	nan
42.0ms	383×	body	80	valid
10.0ms	15×	body	640	valid
7.0ms	5×	body	1280	valid
5.0ms	13×	body	320	valid
3.0ms	13×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	135	17
4	335	17
5	1091	17
done	5000	17

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
0.0b	(- (log z) t)
0.1b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.5b	(log (- 1.0 z))

rewrite67.0ms

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-exp-log` `log-pow` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `associate-l` `log1p-expm1-u`
3×	`associate-r` `associate--l+` `distribute-lft-out--`
2×	`log-div` `flip3--` `flip--` `fma-udef` `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:

27.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
22.0ms	(- (log z) t)
1.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
12.0ms	(log (- 1.0 z))

series913.0ms

Counts

4 → 12

Calls

4 calls:

468.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
78.0ms	(- (log z) t)
290.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
76.0ms	(log (- 1.0 z))

simplify2.5s

Counts

97 → 97

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	207	1413
1	458	1269
2	1095	1077
3	3160	1031
done	5000	1028

prune459.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
72×	`prod-diff`
68×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
43×	`associate--l+`
37×	`distribute-rgt-in` `distribute-lft-in`
24×	`pow1`
19×	`distribute-lft-out--`
18×	`log-pow`
9×	`log-prod`
8×	`difference-of-squares`
7×	`associate-r`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`sub-neg`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`exp-prod` `associate-l`
2×	`flip3--` `associate-*r/` `flip--` `fma-udef`
1×	`diff-log` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

12.0ms	(- (log z) t)
173.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
2.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

series869.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (log z) t)
160.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
239.0ms	(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
373.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify1.2s

Counts

172 → 172

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	318	6407
1	572	4936
2	1211	4010
done	5000	3181

prune755.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
72×	`prod-diff`
69×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
43×	`associate--l+`
37×	`distribute-rgt-in` `distribute-lft-in`
25×	`pow1`
19×	`distribute-lft-out--`
18×	`log-pow`
9×	`log-prod`
8×	`difference-of-squares`
7×	`add-exp-log` `associate-r`
6×	`add-cbrt-cube`
5×	`sub-neg` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`flip3--` `associate-*r/` `pow-exp` `flip--` `fma-udef`
1×	`unpow-prod-up` `pow-to-exp` `e-exp-1` `pow-pow` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 167

Calls

4 calls:

18.0ms	(- (log z) t)
169.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
3.0ms	(pow E (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

series866.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- (log z) t)
123.0ms	(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
287.0ms	(pow E (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
345.0ms	(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify1.4s

Counts

179 → 179

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	333	6761
1	611	5227
2	1331	4315
done	5001	3475

prune810.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

25.0ms	(- (log z) t)
40.0ms	(* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))
2.0ms	(exp (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))
0.0ms	(fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b)))))

series873.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (log z) t)
170.0ms	(* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))
277.0ms	(exp (fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))))))
349.0ms	(fma (- (log z) t) y (* a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b)))))

simplify3.2s

Counts

131 → 131

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	242	4541
1	457	3324
2	994	2638
3	4024	2156
done	5000	2156

prune799.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	29
1	29	29
2	31	29
done	31	29

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.1s	40982×	body	80	nan
1.1s	12449×	body	80	valid
163.0ms	348×	body	640	valid
123.0ms	414×	body	320	valid
67.0ms	70×	body	1280	valid
53.0ms	295×	body	160	valid