Details

sample86.0ms

Algorithm

intervals

Results

64.0ms	116×	body	10240	exit
8.0ms	256×	body	80	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

10.0ms	(+ (exp a) (exp b))
20.0ms	(/ (exp a) (+ (exp a) (exp b)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp a) (exp b))
51.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify80.0ms

Counts: 51 → 51

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
1.2b	(- a (log (+ (exp a) (exp b))))
2.9b	(log (+ (exp a) (exp b)))

rewrite59.0ms

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-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `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 → 68

Calls

4 calls:

11.0ms	(+ (exp a) (exp b))
19.0ms	(exp (- a (log (+ (exp a) (exp b)))))
14.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp a) (exp b))
58.0ms	(exp (- a (log (+ (exp a) (exp b)))))
36.0ms	(- a (log (+ (exp a) (exp b))))
40.0ms	(log (+ (exp a) (exp b)))

simplify81.0ms

Counts: 80 → 80

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.1b	(log (exp (exp (- a (log (+ (exp a) (exp b)))))))
1.2b	(- a (log (+ (exp a) (exp b))))
2.9b	(log (+ (exp a) (exp b)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `exp-prod`
11×	`log-prod` `log-pow`
9×	`add-cube-cbrt`
8×	`pow1` `log-div` `exp-sum`
7×	`add-log-exp`
6×	`associate--r-`
5×	`add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--`
3×	`sub-neg`
2×	`diff-log` `rem-log-exp` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`flip3--` `exp-diff` `flip--`

Counts

4 → 75

Calls

4 calls:

21.0ms	(exp (- a (log (+ (exp a) (exp b)))))
24.0ms	(log (exp (exp (- a (log (+ (exp a) (exp b)))))))
13.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(exp (- a (log (+ (exp a) (exp b)))))
55.0ms	(log (exp (exp (- a (log (+ (exp a) (exp b)))))))
36.0ms	(- a (log (+ (exp a) (exp b))))
39.0ms	(log (+ (exp a) (exp b)))

simplify77.0ms

Counts: 87 → 87

prune246.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

15.0ms	(- (* 1/2 a) (+ (log 2) (* 1/2 b)))
8.0ms	(+ (log 2) (* 1/2 b))
52.0ms	(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

series295.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* 1/2 a) (+ (log 2) (* 1/2 b)))
203.0ms	(+ (log 2) (* 1/2 b))
54.0ms	(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

simplify71.0ms

Counts: 53 → 53

prune130.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes93.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.9s	3415×	body	10240	exit
319.0ms	8000×	body	80	valid