Details

sample130.0ms

Algorithm

intervals

Results

98.0ms	111×	body	10240	exit
18.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite49.0ms

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 a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (exp a) (exp b))
75.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	2002
4	2002
3	1039
2	503
1	186
0	84

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

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))
0.5b	(- a (log (+ (exp a) (exp b))))
3.5b	(log (+ (exp a) (exp b)))

rewrite73.0ms

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-+` `insert-posit16` `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 → 110

Calls

4 calls:

31.0ms	(exp (- a (log (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
15.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp (- a (log (+ (exp a) (exp b)))))
33.0ms	(+ (exp a) (exp b))
58.0ms	(- a (log (+ (exp a) (exp b))))
61.0ms	(log (+ (exp a) (exp b)))

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
done	2000
3	2000
2	820
1	332
0	153

prune598.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1/2 (- a b)) (log 2))
0.0b	(exp (- (* 1/2 (- a b)) (log 2)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

44×	`prod-diff` `associate--l+`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`exp-sum`
22×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg`
5×	`add-log-exp`
4×	`pow1`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`expm1-log1p-u` `add-cbrt-cube` `diff-log` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
1×	`flip3--` `exp-diff` `fma-neg` `flip--`

Counts

2 → 89

Calls

2 calls:

27.0ms	(- (* 1/2 (- a b)) (log 2))
65.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* 1/2 (- a b)) (log 2))
65.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify979.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2002
3	2002
2	954
1	416
0	184

prune448.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (exp a) (exp b))
1.0b	(* (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
1.2b	(/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a))))
3.6b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite700.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-l`
13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
7×	`distribute-lft-out`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `exp-prod` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `prod-diff` `associate-*l/` `pow-prod-up` `flip--`

Counts

4 → 122

Calls

4 calls:

13.0ms	(* (exp a) (exp b))
621.0ms	(* (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
37.0ms	(/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a))))
27.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (exp a) (exp b))
169.0ms	(* (/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a)))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
41.0ms	(/ (exp a) (+ (exp (* 3 b)) (exp (* 3 a))))
56.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify1.3s

Counts

134 → 134

Iterations

Iter	Nodes
done	2000
2	2000
1	709
0	211

prune920.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.9b

regimes118.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.1s	3430×	body	10240	exit
1.2s	8000×	body	80	valid