Details

sample128.0ms

Algorithm

intervals

Results

91.0ms	98×	body	10240	exit
20.0ms	256×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite36.0ms

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:

8.0ms	(+ (exp a) (exp b))
27.0ms	(/ (exp a) (+ (exp a) (exp b)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp a) (exp b))
40.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify929.0ms

Counts

53 → 53

Iterations

Iter	Nodes
4	2364
3	989
2	466
1	178
0	80

prune404.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(* (+ (exp a) (exp b)) (+ (exp a) (exp b)))
0.0b	(cbrt (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
0.3b	(/ (exp a) (cbrt (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b)))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
52×	`cbrt-div`
33×	`*-un-lft-identity`
30×	`associate-*l/`
26×	`associate-/r/`
19×	`add-sqr-sqrt`
18×	`associate-*r/`
17×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
7×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
6×	`swap-sqr` `add-log-exp`
5×	`cbrt-prod`
4×	`associate-/r` `associate-r` `associate-l*` `insert-posit16`
3×	`associate-/l*`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-plus` `pow1/3` `div-exp` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

8.0ms	(+ (exp a) (exp b))
67.0ms	(* (+ (exp a) (exp b)) (+ (exp a) (exp b)))
72.0ms	(cbrt (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
15.0ms	(/ (exp a) (cbrt (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b)))))

series132.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp a) (exp b))
30.0ms	(* (+ (exp a) (exp b)) (+ (exp a) (exp b)))
30.0ms	(cbrt (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
46.0ms	(/ (exp a) (cbrt (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b)))))

simplify1.0s

Counts

161 → 161

Iterations

Iter	Nodes
2	2502
1	647
0	236

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.5b	(- a (log (+ (exp a) (exp b))))
3.3b	(log (+ (exp a) (exp b)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`log-prod`
7×	`pow1` `add-cube-cbrt`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `exp-sum` `flip-+` `insert-posit16` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `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 → 72

Calls

4 calls:

7.0ms	(+ (exp a) (exp b))
12.0ms	(exp (- a (log (+ (exp a) (exp b)))))
13.0ms	(- a (log (+ (exp a) (exp b))))
12.0ms	(log (+ (exp a) (exp b)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (exp a) (exp b))
67.0ms	(exp (- a (log (+ (exp a) (exp b)))))
47.0ms	(- a (log (+ (exp a) (exp b))))
60.0ms	(log (+ (exp a) (exp b)))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
4	3718
3	1283
2	515
1	244
0	111

prune894.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (exp a) (exp b)))
0.3b	(cbrt (+ (exp a) (exp b)))
0.5b	(/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))
0.5b	(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
54×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`cbrt-div` `add-exp-log`
10×	`associate-/r/`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`associate-/r*` `add-cbrt-cube`
7×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`frac-times` `pow1` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `associate-l/` `associate-r/` `div-inv`

Counts

4 → 130

Calls

4 calls:

5.0ms	(cbrt (+ (exp a) (exp b)))
5.0ms	(cbrt (+ (exp a) (exp b)))
14.0ms	(/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))
43.0ms	(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt (+ (exp a) (exp b)))
74.0ms	(cbrt (+ (exp a) (exp b)))
94.0ms	(/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))
116.0ms	(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

simplify4.5s

Counts

142 → 142

Iterations

Iter	Nodes
3	7778
2	1430
1	448
0	194

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes166.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.0s	3557×	body	10240	exit
1.1s	8000×	body	80	valid