Details

sample337.0ms

Algorithm

intervals

Results

116.0ms	1178×	body	80	nan
40.0ms	384×	body	80	valid
35.0ms	17×	body	320	valid
6.0ms	5×	body	1280	valid
6.0ms	11×	body	640	valid
2.0ms	9×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	17	18
1	31	17
2	62	17
3	135	17
4	379	17
5	1360	17
done	5000	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize20.0ms

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	(* a (- (log (- 1.0 z)) b))
0.1b	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
3.9b	(log (- 1.0 z))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

14.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
43.0ms	(* a (- (log (- 1.0 z)) b))
0.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
7.0ms	(log (- 1.0 z))

series694.0ms

Counts

4 → 12

Calls

4 calls:

342.0ms	(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
102.0ms	(* a (- (log (- 1.0 z)) b))
202.0ms	(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
47.0ms	(log (- 1.0 z))

simplify1.3s

Counts

124 → 124

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	265	2242
1	627	1976
2	2155	1673
done	5002	1609

prune478.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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)))) x)

0.0b

(* 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)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
60×	`prod-diff`
59×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
40×	`associate--l+`
37×	`distribute-rgt-in` `distribute-lft-in`
20×	`pow1`
17×	`distribute-lft-out--`
13×	`log-pow`
10×	`associate-r`
7×	`associate-l` `add-cbrt-cube` `difference-of-squares`
6×	`add-exp-log` `log-prod`
4×	`sub-neg`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`flip3--` `exp-sum` `flip--`

Counts

3 → 131

Calls

3 calls:

15.0ms

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

180.0ms

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

1.0ms

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

series833.0ms

Counts

3 → 9

Calls

3 calls:

394.0ms

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

136.0ms

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

302.0ms

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

simplify1.7s

Counts

140 → 140

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	272	6267
1	608	4915
2	2234	3993
done	5001	3238

prune603.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (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	(sqrt (exp (fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))))
0.1b	(* (- (log z) t) y)
0.3b	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))
3.0ms	(sqrt (exp (fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))))
42.0ms	(* (- (log z) t) y)
0.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

352.0ms	(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))
356.0ms	(sqrt (exp (fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))))
140.0ms	(* (- (log z) t) y)
296.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

simplify662.0ms

Counts

85 → 85

Iterations

Useful iterations: done (658.0ms)

Iter	Nodes	Cost
0	162	1971
1	318	1835
2	934	1690
done	5001	1677

prune845.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (log z) t) y)
0.3b	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
0.3b	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
0.3b	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

61.0ms	(* (- (log z) t) y)
0.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
1.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
1.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (- (log z) t) y)
270.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
312.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
356.0ms	(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

simplify598.0ms

Counts

67 → 67

Iterations

Useful iterations: done (595.0ms)

Iter	Nodes	Cost
0	99	1347
1	223	1323
2	749	1154
done	5000	1137

prune776.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	28
1	26	28
done	26	28

end0.0ms

sample13.5s

Algorithm

intervals

Results

6.3s	40348×	body	80	nan
2.4s	12446×	body	80	valid
297.0ms	381×	body	640	valid
147.0ms	382×	body	320	valid
90.0ms	74×	body	1280	valid
62.0ms	269×	body	160	valid