Details

sample114.0ms

Algorithm

intervals

Results

82.0ms	118×	body	10240	exit
12.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

27.0ms	(+ (exp a) (exp b))
34.0ms	(/ (exp a) (+ (exp a) (exp b)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp a) (exp b))
51.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.6s

Counts

58 → 58

Iterations

Useful iterations: 4 (991.0ms)

Iter	Nodes	Cost
0	82	646
1	172	616
2	403	576
3	798	575
4	2080	574
done	5000	574

prune168.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
2.1b	(- a (log (+ (exp a) (exp b))))
4.5b	(log (+ (exp a) (exp b)))

rewrite70.0ms

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` `rem-exp-log` `difference-of-squares`
1×	`+-commutative` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 106

Calls

4 calls:

21.0ms	(exp (- a (log (+ (exp a) (exp b)))))
11.0ms	(+ (exp a) (exp b))
23.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp (- a (log (+ (exp a) (exp b)))))
22.0ms	(+ (exp a) (exp b))
42.0ms	(- a (log (+ (exp a) (exp b))))
51.0ms	(log (+ (exp a) (exp b)))

simplify2.6s

Counts

118 → 118

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	149	2147
1	310	1610
2	692	1278
3	1851	1056
done	5000	1030

prune384.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(/ 1 (+ (exp b) (exp a)))
0.5b	(* (exp a) (/ 1 (+ (exp b) (exp a))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 99

Calls

3 calls:

22.0ms	(+ (exp b) (exp a))
40.0ms	(/ 1 (+ (exp b) (exp a)))
71.0ms	(* (exp a) (/ 1 (+ (exp b) (exp a))))

series132.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (exp b) (exp a))
36.0ms	(/ 1 (+ (exp b) (exp a)))
66.0ms	(* (exp a) (/ 1 (+ (exp b) (exp a))))

simplify4.6s

Counts

108 → 108

Iterations

Useful iterations: 4 (2.9s)

Iter	Nodes	Cost
0	122	1205
1	283	1011
2	718	915
3	1568	913
4	3755	912
done	5000	912

prune334.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.5b

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
done	12	10

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.7s	3455×	body	10240	exit
428.0ms	8000×	body	80	valid