Details

sample136.0ms

Algorithm

intervals

Results

106.0ms	122×	body	10240	exit
17.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

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

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

Counts

2 → 47

Calls

2 calls:

16.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp a) (exp b))
64.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.6s

Counts

53 → 53

Iterations

Iter	Nodes
4	2364
3	976
2	468
1	176
0	80

prune510.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

16.0ms	(+ (exp b) (exp a))
31.0ms	(/ (exp a) (+ (exp b) (exp a)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (exp b) (exp a))
66.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify1.1s

Counts

53 → 53

Iterations

Iter	Nodes
4	2395
3	1004
2	469
1	175
0	78

prune464.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
30×	`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×	`associate-/r*` `flip3-+` `flip-+` `insert-posit16`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `rem-log-exp` `rem-exp-log`

Counts

4 → 105

Calls

4 calls:

42.0ms	(exp (/ (exp a) (+ (exp b) (exp a))))
16.0ms	(+ (exp b) (exp a))
52.0ms	(log (exp (/ (exp a) (+ (exp b) (exp a)))))
22.0ms	(/ (exp a) (+ (exp b) (exp a)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(exp (/ (exp a) (+ (exp b) (exp a))))
40.0ms	(+ (exp b) (exp a))
37.0ms	(log (exp (/ (exp a) (+ (exp b) (exp a)))))
41.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
4	2709
3	1217
2	616
1	259
0	134

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(+ (exp b) (exp a))
0.3b	(* (sqrt (+ (exp b) (exp a))) (sqrt (+ (exp b) (exp a))))
0.5b	(/ (exp a) (* (sqrt (+ (exp b) (exp a))) (sqrt (+ (exp b) (exp a)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `sqrt-prod`
24×	`sqrt-div`
19×	`pow1`
14×	`flip3-+` `add-cube-cbrt` `flip-+`
11×	`add-cbrt-cube` `swap-sqr`
9×	`add-exp-log`
8×	`frac-times` `sqrt-pow1` `pow1/2` `associate-/r/` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`associate-l/` `associate-r/` `insert-posit16` `unswap-sqr`
3×	`times-frac` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `sum-log` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow2` `clear-num` `associate-/r` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `-commutative` `div-inv`

Counts

4 → 119

Calls

4 calls:

8.0ms	(+ (exp b) (exp a))
8.0ms	(+ (exp b) (exp a))
79.0ms	(* (sqrt (+ (exp b) (exp a))) (sqrt (+ (exp b) (exp a))))
45.0ms	(/ (exp a) (* (sqrt (+ (exp b) (exp a))) (sqrt (+ (exp b) (exp a)))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (exp b) (exp a))
26.0ms	(+ (exp b) (exp a))
23.0ms	(* (sqrt (+ (exp b) (exp a))) (sqrt (+ (exp b) (exp a))))
45.0ms	(/ (exp a) (* (sqrt (+ (exp b) (exp a))) (sqrt (+ (exp b) (exp a)))))

simplify908.0ms

Counts

131 → 131

Iterations

Iter	Nodes
3	2168
2	715
1	295
0	132

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes203.0ms

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

sample4.1s

Algorithm

intervals

Results

3.2s	3329×	body	10240	exit
721.0ms	8000×	body	80	valid