Details

sample114.0ms

Algorithm

intervals

Results

85.0ms	122×	body	10240	exit
15.0ms	256×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

32.0ms	(+ (exp a) (exp b))
33.0ms	(/ (exp a) (+ (exp a) (exp b)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp a) (exp b))
39.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
4	2640
3	1109
2	494
1	184
0	84

prune595.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.5b	(/ (exp a) (+ (exp b) (exp a)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

17.0ms	(+ (exp b) (exp a))
32.0ms	(/ (exp a) (+ (exp b) (exp a)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp b) (exp a))
56.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify1.3s

Counts

60 → 60

Iterations

Iter	Nodes
4	2545
3	1099
2	496
1	183
0	82

prune584.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(sqrt (exp a))
0.0b	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
0.5b	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod` `add-cbrt-cube` `sqrt-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `pow1/2`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 79

Calls

4 calls:

5.0ms	(sqrt (exp a))
5.0ms	(sqrt (exp a))
0.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
6.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp a))
17.0ms	(sqrt (exp a))
75.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
69.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

simplify1.6s

Counts

91 → 91

Iterations

Iter	Nodes
4	2653
3	918
2	376
1	165
0	94

prune945.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.2b	(expm1 (/ (exp a) (+ (exp a) (exp b))))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-cbrt-cube` `add-log-exp`
5×	`add-exp-log` `log1p-expm1-u` `distribute-lft-out`
4×	`expm1-log1p-u` `pow1` `associate-/r*` `insert-posit16`
3×	`fma-def` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `expm1-log1p` `clear-num` `sum-log` `frac-2neg` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

4 → 78

Calls

4 calls:

1.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
14.0ms	(+ (exp a) (exp b))
0.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
18.0ms	(/ (exp a) (+ (exp a) (exp b)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log1p (expm1 (/ (exp a) (+ (exp a) (exp b)))))
34.0ms	(+ (exp a) (exp b))
96.0ms	(expm1 (/ (exp a) (+ (exp a) (exp b))))
69.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
4	2940
3	1321
2	607
1	243
0	115

prune998.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes177.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.2s	3329×	body	10240	exit
601.0ms	8000×	body	80	valid