Details

sample94.0ms

Algorithm

intervals

Results

65.0ms	84×	body	10240	exit
17.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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:

15.0ms	(+ (exp a) (exp b))
49.0ms	(/ (exp a) (+ (exp a) (exp b)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp a) (exp b))
37.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.9s

Counts

53 → 53

Iterations

Iter	Nodes
done	5051
4	2638
3	1052
2	471
1	178
0	80

prune202.0ms

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))
1.0b	(- a (log (+ (exp a) (exp b))))
4.2b	(log (+ (exp a) (exp b)))

rewrite42.0ms

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:

14.0ms	(exp (- a (log (+ (exp a) (exp b)))))
11.0ms	(+ (exp a) (exp b))
10.0ms	(- a (log (+ (exp a) (exp b))))
6.0ms	(log (+ (exp a) (exp b)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(exp (- a (log (+ (exp a) (exp b)))))
31.0ms	(+ (exp a) (exp b))
43.0ms	(- a (log (+ (exp a) (exp b))))
36.0ms	(log (+ (exp a) (exp b)))

simplify3.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
4	4379
3	1395
2	568
1	244
0	111

prune351.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp a))
0.0b	(* (cbrt (exp a)) (cbrt (exp a)))
0.5b	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
0.8b	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
50×	`times-frac`
47×	`cbrt-prod`
45×	`add-cube-cbrt`
36×	`associate-r`
20×	`add-exp-log`
16×	`pow1`
13×	`distribute-lft-out`
11×	`add-cbrt-cube`
7×	`pow1/3` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`swap-sqr` `associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r*` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`flip3-+` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `div-inv`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `associate-*r/`

Counts

4 → 156

Calls

4 calls:

3.0ms	(cbrt (exp a))
26.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
98.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
36.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (exp a))
128.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
46.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
84.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

simplify1.7s

Counts

168 → 168

Iterations

Iter	Nodes
done	5002
2	1529
1	506
0	183

prune795.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

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)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate--l+`
6×	`sub-neg` `exp-sum`
5×	`add-log-exp`
4×	`distribute-rgt-in` `add-sqr-sqrt` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`pow1` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `rem-exp-log`
1×	`flip3--` `exp-diff` `flip--`

Counts

2 → 40

Calls

2 calls:

22.0ms	(- (* 1/2 (- a b)) (log 2))
45.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* 1/2 (- a b)) (log 2))
66.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.7s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
3	1800
2	480
1	176
0	77

prune171.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes196.0ms

Accuracy

0% (0.1b 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

sample4.1s

Algorithm

intervals

Results

3.3s	3251×	body	10240	exit
615.0ms	8000×	body	80	valid