Details

sample137.0ms

Algorithm

intervals

Results

110.0ms	128×	body	10240	exit
10.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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))
15.0ms	(/ (exp a) (+ (exp a) (exp b)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp a) (exp b))
70.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.7s

Counts

51 → 51

Iterations

Useful iterations: 3 (664.0ms)

Iter	Nodes	Cost
0	78	616
1	176	587
2	586	548
3	3897	546
done	5001	546

prune232.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:

8.0ms	(+ (exp a) (exp b))
28.0ms	(exp (- a (log (+ (exp a) (exp b)))))
13.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (exp a) (exp b))
59.0ms	(exp (- a (log (+ (exp a) (exp b)))))
58.0ms	(- a (log (+ (exp a) (exp b))))
47.0ms	(log (+ (exp a) (exp b)))

simplify1.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (407.0ms)

Iter	Nodes	Cost
0	107	890
1	240	819
2	644	744
3	2619	742
done	5000	742

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize24.0ms

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)))

rewrite61.0ms

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:

15.0ms	(- (* 1/2 (- a b)) (log 2))
45.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* 1/2 (- a b)) (log 2))
74.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify2.1s

Counts

44 → 44

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	75	507
1	174	465
2	547	401
3	3401	384
done	5000	380

prune169.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite446.0ms

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:

24.0ms	(* (exp a) (exp b))
52.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
344.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
13.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (exp a) (exp b))
95.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
212.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
75.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify382.0ms

Counts

155 → 155

Iterations

Useful iterations: done (377.0ms)

Iter	Nodes	Cost
0	211	3711
1	725	3163
done	5000	2940

prune825.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes205.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.2s	3344×	body	10240	exit
928.0ms	8000×	body	80	valid