Details

sample132.0ms

Algorithm

intervals

Results

97.0ms	117×	body	10240	exit
13.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

11.0ms	(+ (exp a) (exp b))
23.0ms	(/ (exp a) (+ (exp a) (exp b)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (exp a) (exp b))
72.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.7s

Counts

51 → 51

Iterations

Useful iterations: 3 (213.0ms)

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

prune231.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

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

rewrite91.0ms

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))
29.0ms	(exp (- a (log (+ (exp a) (exp b)))))
27.0ms	(- a (log (+ (exp a) (exp b))))
22.0ms	(log (+ (exp a) (exp b)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp a) (exp b))
96.0ms	(exp (- a (log (+ (exp a) (exp b)))))
61.0ms	(- a (log (+ (exp a) (exp b))))
57.0ms	(log (+ (exp a) (exp b)))

simplify2.2s

Counts

80 → 80

Iterations

Useful iterations: 3 (346.0ms)

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

prune338.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (exp a) (exp b))
1.0b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
1.0b	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
3.0b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite563.0ms

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×	`add-exp-log` `associate-/r*`
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×	`cbrt-undiv` `frac-times` `exp-prod` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `associate-*l/` `clear-num` `pow-prod-up` `flip--`

Counts

4 → 143

Calls

4 calls:

37.0ms	(* (exp a) (exp b))
74.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
416.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
22.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (exp a) (exp b))
138.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
209.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
82.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify1.9s

Counts

155 → 155

Iterations

Useful iterations: 2 (623.0ms)

Iter	Nodes	Cost
0	209	3711
1	639	3146
2	2713	2897
done	5000	2897

prune723.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

106.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify1.5s

Counts

17 → 17

Iterations

Useful iterations: 3 (361.0ms)

Iter	Nodes	Cost
0	35	233
1	98	222
2	336	204
3	1441	168
done	5000	168

prune29.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes110.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.9s	3357×	body	10240	exit
495.0ms	8000×	body	80	valid