Details

sample93.0ms

Algorithm

intervals

Results

58.0ms	90×	body	10240	exit
12.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite40.0ms

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-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 45

Calls

2 calls:

8.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp a) (exp b))
42.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.8s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
3	3897
2	586
1	176
0	78

prune281.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.4b	(- a (log (+ (exp a) (exp b))))
3.7b	(log (+ (exp a) (exp b)))

rewrite90.0ms

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-+` `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 → 68

Calls

4 calls:

30.0ms	(exp (- a (log (+ (exp a) (exp b)))))
21.0ms	(+ (exp a) (exp b))
22.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(exp (- a (log (+ (exp a) (exp b)))))
36.0ms	(+ (exp a) (exp b))
60.0ms	(- a (log (+ (exp a) (exp b))))
46.0ms	(log (+ (exp a) (exp b)))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	2582
2	645
1	240
0	107

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`pow1` `sub-neg` `add-cbrt-cube` `diff-log` `exp-sum` `add-exp-log` `rem-exp-log`
1×	`flip3--` `exp-diff` `flip--`

Counts

2 → 30

Calls

2 calls:

13.0ms	(- (* (- a b) 1/2) (log 2))
58.0ms	(exp (- (* (- a b) 1/2) (log 2)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* (- a b) 1/2) (log 2))
84.0ms	(exp (- (* (- a b) 1/2) (log 2)))

simplify2.1s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	3445
2	512
1	156
0	65

prune197.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize75.0ms

Local error

Found 4 expressions with local error:

1.4b	(- a (- (log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b)))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
3.6b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))
3.7b	(log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b))))
6.9b	(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`pow1`
9×	`add-sqr-sqrt` `log-prod` `distribute-lft-out--` `add-log-exp`
7×	`add-cube-cbrt` `associate--r+`
6×	`log-div` `add-exp-log` `log-pow`
4×	`add-cbrt-cube` `diff-log`
3×	`sub-neg` `flip3-+` `associate--l+` `flip-+` `associate--r-`
2×	`flip3--` `rem-log-exp` `flip--`
1×	`distribute-rgt-out--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

84.0ms	(- a (- (log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b)))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
13.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))
63.0ms	(log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b))))
68.0ms	(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

series419.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(- a (- (log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b)))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
49.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))
77.0ms	(log (+ (* (* (exp a) (exp a)) (exp a)) (exp (* 3 b))))
149.0ms	(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))

simplify1.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1915
1	420
0	160

prune592.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes241.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.2s	3525×	body	10240	exit
750.0ms	8000×	body	80	valid