Details

sample153.0ms

Algorithm

intervals

Results

121.0ms	126×	body	10240	exit
19.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite41.0ms

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:

14.0ms	(+ (exp a) (exp b))
26.0ms	(/ (exp a) (+ (exp a) (exp b)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp a) (exp b))
58.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify859.0ms

Counts

51 → 51

Iterations

Iter	Nodes
4	2206
3	960
2	466
1	174
0	78

prune443.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(- a (log (+ (exp a) (exp b))))
2.6b	(log (+ (exp a) (exp b)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`log-prod`
7×	`add-sqr-sqrt`
6×	`add-log-exp`
5×	`pow1` `add-cube-cbrt`
4×	`log-div` `add-exp-log` `associate--r+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`log-pow` `distribute-lft-out--` `associate--r-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

14.0ms	(+ (exp a) (exp b))
16.0ms	(- a (log (+ (exp a) (exp b))))
11.0ms	(log (+ (exp a) (exp b)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (exp a) (exp b))
55.0ms	(- a (log (+ (exp a) (exp b))))
64.0ms	(log (+ (exp a) (exp b)))

simplify1.7s

Counts

57 → 57

Iterations

Iter	Nodes
5	4699
4	1600
3	731
2	357
1	181
0	82

prune526.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* (* (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a)))) (/ (exp a) (+ (exp b) (exp a)))))
0.7b	(/ (exp a) (+ (exp b) (exp a)))
0.7b	(/ (exp a) (+ (exp b) (exp a)))
0.7b	(/ (exp a) (+ (exp b) (exp a)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-/r*` `distribute-lft-out`
10×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`cbrt-div` `add-exp-log`
6×	`associate-/r/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `associate-*r/` `flip-+` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 116

Calls

4 calls:

86.0ms	(cbrt (* (* (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a)))) (/ (exp a) (+ (exp b) (exp a)))))
18.0ms	(/ (exp a) (+ (exp b) (exp a)))
13.0ms	(/ (exp a) (+ (exp b) (exp a)))
24.0ms	(/ (exp a) (+ (exp b) (exp a)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (* (* (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a)))) (/ (exp a) (+ (exp b) (exp a)))))
59.0ms	(/ (exp a) (+ (exp b) (exp a)))
56.0ms	(/ (exp a) (+ (exp b) (exp a)))
63.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify943.0ms

Counts

128 → 128

Iterations

Iter	Nodes
4	2212
3	1077
2	578
1	202
0	91

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`pow1` `sub-neg` `add-cbrt-cube` `diff-log` `exp-sum` `add-exp-log` `rem-exp-log`
1×	`flip3--` `exp-diff` `flip--`

Counts

2 → 30

Calls

2 calls:

21.0ms	(- (* (- a b) 1/2) (log 2))
56.0ms	(exp (- (* (- a b) 1/2) (log 2)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (* (- a b) 1/2) (log 2))
75.0ms	(exp (- (* (- a b) 1/2) (log 2)))

simplify2.6s

Counts

36 → 36

Iterations

Iter	Nodes
4	6533
3	1397
2	440
1	155
0	65

prune324.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.3s	3479×	body	10240	exit
615.0ms	8000×	body	80	valid