Details

sample148.0ms

Algorithm

intervals

Results

113.0ms	128×	body	10240	exit
14.0ms	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: 1.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

series107.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (exp a) (exp b))
68.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.7s

Counts

51 → 51

Iterations

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

prune258.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(exp (- a (log (+ (exp b) (exp a)))))
0.7b	(- a (log (+ (exp b) (exp a))))
3.4b	(log (+ (exp b) (exp a)))

rewrite41.0ms

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:

7.0ms	(+ (exp b) (exp a))
15.0ms	(exp (- a (log (+ (exp b) (exp a)))))
11.0ms	(- a (log (+ (exp b) (exp a))))
7.0ms	(log (+ (exp b) (exp a)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (exp b) (exp a))
70.0ms	(exp (- a (log (+ (exp b) (exp a)))))
57.0ms	(- a (log (+ (exp b) (exp a))))
40.0ms	(log (+ (exp b) (exp a)))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	2722
2	637
1	234
0	103

prune390.0ms

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

rewrite88.0ms

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` `rem-exp-log`
1×	`flip3--` `exp-diff` `flip--`

Counts

2 → 38

Calls

2 calls:

21.0ms	(- (* 1/2 (- a b)) (log 2))
65.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (* 1/2 (- a b)) (log 2))
66.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify1.9s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
3	3401
2	547
1	174
0	75

prune150.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (exp a) (exp b))
0.9b	(/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3)))
1.2b	(* (/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
4.4b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
55×	`times-frac`
41×	`add-sqr-sqrt`
36×	`associate-l`
35×	`distribute-lft-out`
34×	`add-cube-cbrt`
28×	`unpow-prod-down` `cube-prod`
13×	`add-cbrt-cube`
9×	`associate-/r*` `add-exp-log`
8×	`pow1`
7×	`sum-cubes`
6×	`associate-r` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `exp-prod` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `distribute-rgt-out--` `diff-log` `associate-*l/` `pow-prod-up` `flip--`

Counts

4 → 143

Calls

4 calls:

15.0ms	(* (exp a) (exp b))
69.0ms	(/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3)))
332.0ms	(* (/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
26.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (exp a) (exp b))
100.0ms	(/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3)))
219.0ms	(* (/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
58.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify372.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
1	731
0	211

prune936.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes216.0ms

Accuracy

0% (0.2b 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

sample3.6s

Algorithm

intervals

Results

2.3s	3344×	body	10240	exit
859.0ms	8000×	body	80	valid