Details

sample84.0ms

Algorithm

intervals

Results

61.0ms	117×	body	10240	exit
10.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

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)))

rewrite54.0ms

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:

26.0ms	(+ (exp a) (exp b))
27.0ms	(/ (exp a) (+ (exp a) (exp b)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (exp a) (exp b))
39.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.4s

Counts

51 → 51

Iterations

Useful iterations: 3 (214.0ms)

Iter	Nodes	Cost
0	78	616
1	164	587
2	382	548
3	730	546
4	1872	546
done	5000	546

prune173.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.3b	(- a (log (+ (exp a) (exp b))))
2.1b	(log (+ (exp a) (exp b)))

rewrite63.0ms

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:

17.0ms	(+ (exp a) (exp b))
19.0ms	(exp (- a (log (+ (exp a) (exp b)))))
14.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp a) (exp b))
71.0ms	(exp (- a (log (+ (exp a) (exp b)))))
41.0ms	(- a (log (+ (exp a) (exp b))))
56.0ms	(log (+ (exp a) (exp b)))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (259.0ms)

Iter	Nodes	Cost
0	107	890
1	234	819
2	480	746
3	936	742
4	2100	742
done	5000	742

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp b) (- (exp b) (exp a))) (exp (+ a a))))))
1.9b	(log (+ (pow (exp a) 3) (pow (exp b) 3)))
3.0b	(- (exp b) (exp a))
5.2b	(log (+ (* (exp b) (- (exp b) (exp a))) (exp (+ a a))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

79.0ms	(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp b) (- (exp b) (exp a))) (exp (+ a a))))))
27.0ms	(log (+ (pow (exp a) 3) (pow (exp b) 3)))
12.0ms	(- (exp b) (exp a))
61.0ms	(log (+ (* (exp b) (- (exp b) (exp a))) (exp (+ a a))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp b) (- (exp b) (exp a))) (exp (+ a a))))))
72.0ms	(log (+ (pow (exp a) 3) (pow (exp b) 3)))
27.0ms	(- (exp b) (exp a))
150.0ms	(log (+ (* (exp b) (- (exp b) (exp a))) (exp (+ a a))))

simplify2.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (973.0ms)

Iter	Nodes	Cost
0	168	1973
1	365	1856
2	926	1689
3	3630	1672
done	5000	1672

prune403.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 1/4 (- a b)) 1/2)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+l+`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

32.0ms

(+ (* 1/4 (- a b)) 1/2)

series28.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(+ (* 1/4 (- a b)) 1/2)

simplify783.0ms

Counts

18 → 18

Iterations

Useful iterations: 3 (242.0ms)

Iter	Nodes	Cost
0	37	196
1	107	185
2	262	159
3	1083	155
done	5001	155

prune41.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes91.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.7s	3357×	body	10240	exit
400.0ms	8000×	body	80	valid