Details

sample390.0ms

Algorithm

intervals

Results

169.0ms	1375×	body	80	nan
49.0ms	418×	body	80	valid
8.0ms	13×	body	640	valid
5.0ms	3×	body	1280	valid
5.0ms	12×	body	320	valid
3.0ms	11×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (log (- 1.0 z)) b) a)
0.0b	(- (log z) t)
0.1b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
6.1b	(log (- 1.0 z))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

52.0ms	(* (- (log (- 1.0 z)) b) a)
15.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
11.0ms	(log (- 1.0 z))

series564.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (- (log (- 1.0 z)) b) a)
117.0ms	(- (log z) t)
257.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
63.0ms	(log (- 1.0 z))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1548
1	477
0	209

prune843.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`pow1`
5×	`log-pow` `add-log-exp`
4×	`fma-neg`
3×	`expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `associate--l+` `add-exp-log` `log1p-expm1-u`
2×	`fma-udef` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `exp-sum` `flip--` `difference-of-squares` `rem-exp-log`

Counts

3 → 60

Calls

3 calls:

2.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b)))))
9.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b))))

series491.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b)))))
89.0ms	(- (log z) t)
218.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b))))

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2759
2	624
1	250
0	118

prune533.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
9×	`pow1`
5×	`log-pow`
4×	`fma-neg` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow-unpow` `log-prod` `unpow-prod-down` `add-cbrt-cube` `associate--l+` `log1p-expm1-u`
2×	`pow-exp` `fma-udef` `distribute-lft-out--`
1×	`pow-to-exp` `unpow-prod-up` `e-exp-1` `sub-neg` `pow-pow` `flip3--` `diff-log` `flip--` `difference-of-squares` `sqr-pow`

Counts

3 → 67

Calls

3 calls:

2.0ms	(pow E (fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b)))))
8.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b))))

series382.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(pow E (fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b)))))
65.0ms	(- (log z) t)
177.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (fma (* 1.0 z) a (* a b))))

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1055
1	314
0	133

prune586.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Iter	Nodes
done	27
2	27
1	25
0	19

end0.0ms

sample11.7s

Algorithm

intervals

Results

5.9s	41321×	body	80	nan
2.3s	12560×	body	80	valid
330.0ms	370×	body	640	valid
155.0ms	430×	body	320	valid
88.0ms	82×	body	1280	valid
83.0ms	260×	body	160	valid