Details

sample106.0ms

Algorithm

intervals

Results

72.0ms	107×	body	10240	exit
13.0ms	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)))

rewrite58.0ms

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))
46.0ms	(/ (exp a) (+ (exp a) (exp b)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp a) (exp b))
47.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.9s

Counts

51 → 51

Iterations

Useful iterations: 3 (632.0ms)

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

prune200.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.6b	(- a (log (+ (exp a) (exp b))))
2.8b	(log (+ (exp a) (exp b)))

rewrite86.0ms

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:

23.0ms	(exp (- a (log (+ (exp a) (exp b)))))
15.0ms	(+ (exp a) (exp b))
28.0ms	(- a (log (+ (exp a) (exp b))))
18.0ms	(log (+ (exp a) (exp b)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(exp (- a (log (+ (exp a) (exp b)))))
34.0ms	(+ (exp a) (exp b))
57.0ms	(- a (log (+ (exp a) (exp b))))
40.0ms	(log (+ (exp a) (exp b)))

simplify2.2s

Counts

80 → 80

Iterations

Useful iterations: 3 (384.0ms)

Iter	Nodes	Cost
0	107	890
1	234	819
2	480	746
3	934	742
4	2098	742
done	5000	742

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

50.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
21.0ms	(+ (exp a) (exp b))
44.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
44.0ms	(/ (exp a) (+ (exp a) (exp b)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
22.0ms	(+ (exp a) (exp b))
54.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
52.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.6s

Counts

113 → 113

Iterations

Useful iterations: 4 (921.0ms)

Iter	Nodes	Cost
0	133	1368
1	237	1244
2	507	1159
3	936	1153
4	2186	1152
done	5000	1152

prune413.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (* (+ 1 (* 1/4 (- a b))) (exp 1/2)))
0.2b	(* (+ 1 (* 1/4 (- a b))) (exp 1/2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
6×	`add-sqr-sqrt`
5×	`add-exp-log`
4×	`add-cube-cbrt` `-un-lft-identity` `associate-l/` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`log-div` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `flip-+` `add-log-exp`
1×	`log-prod` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

27.0ms	(log (* (+ 1 (* 1/4 (- a b))) (exp 1/2)))
24.0ms	(* (+ 1 (* 1/4 (- a b))) (exp 1/2))

series239.0ms

Counts

2 → 6

Calls

2 calls:

156.0ms	(log (* (+ 1 (* 1/4 (- a b))) (exp 1/2)))
83.0ms	(* (+ 1 (* 1/4 (- a b))) (exp 1/2))

simplify2.2s

Counts

40 → 40

Iterations

Useful iterations: 3 (974.0ms)

Iter	Nodes	Cost
0	95	609
1	243	552
2	716	484
3	2625	475
done	5000	475

prune157.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

regimes147.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.8s	3454×	body	10240	exit
446.0ms	8000×	body	80	valid