Details

sample121.0ms

Algorithm

intervals

Results

84.0ms	110×	body	10240	exit
14.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite58.0ms

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-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

33.0ms	(+ (exp a) (exp b))
22.0ms	(/ (exp a) (+ (exp a) (exp b)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp a) (exp b))
48.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
4	2397
3	1021
2	501
1	184
0	82

prune314.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.1b	(- a (log (+ (exp a) (exp b))))
2.2b	(log (+ (exp a) (exp b)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

4 → 106

Calls

4 calls:

27.0ms	(exp (- a (log (+ (exp a) (exp b)))))
21.0ms	(+ (exp a) (exp b))
21.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(exp (- a (log (+ (exp a) (exp b)))))
26.0ms	(+ (exp a) (exp b))
45.0ms	(- a (log (+ (exp a) (exp b))))
40.0ms	(log (+ (exp a) (exp b)))

simplify1.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
3	2474
2	819
1	328
0	149

prune615.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))
0.0b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`add-cbrt-cube` `associate-/r/`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `associate-/r*` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`log-prod` `fma-def` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `rem-log-exp` `rem-exp-log`

Counts

4 → 112

Calls

4 calls:

8.0ms	(+ (exp a) (exp b))
38.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
57.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp a) (exp b))
84.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
66.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
54.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.3s

Counts

124 → 124

Iterations

Iter	Nodes
done	5071
4	3404
3	1500
2	677
1	270
0	141

prune719.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
0.0b	(exp (exp a))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.3b	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
18×	`pow-unpow`
9×	`add-exp-log`
7×	`log-prod` `distribute-lft-out`
6×	`pow1` `exp-prod` `unpow-prod-down` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `pow-pow` `associate-/r/` `log1p-expm1-u`
3×	`rem-log-exp` `associate-/l*`
2×	`pow-to-exp` `flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log-pow` `pow-flip` `inv-pow` `rem-exp-log`

Counts

4 → 109

Calls

4 calls:

4.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
3.0ms	(exp (exp a))
29.0ms	(/ 1 (+ (exp a) (exp b)))
24.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
30.0ms	(exp (exp a))
29.0ms	(/ 1 (+ (exp a) (exp b)))
113.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

simplify2.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5013
3	3119
2	1085
1	397
0	156

prune691.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes179.0ms

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
done	13
1	13
0	10

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.8s	3409×	body	10240	exit
412.0ms	8000×	body	80	valid