Details

sample119.0ms

Algorithm

intervals

Results

61.0ms	62×	body	10240	exit
22.0ms	271×	body	80	valid
6.0ms	5×	body	1280	valid
4.0ms	8×	body	640	valid
3.0ms	8×	body	320	valid
1.0ms	4×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `rem-log-exp` `log-pow`

Counts

2 → 27

Calls

2 calls:

10.0ms	(+ 1.0 (exp x))
9.0ms	(log (+ 1.0 (exp x)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ 1.0 (exp x))
106.0ms	(log (+ 1.0 (exp x)))

simplify1.2s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
3	1474
2	381
1	132
0	61

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (+ 1.0 (exp x)))
0.5b	(log (+ 1.0 (exp x)))
0.7b	(cbrt (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))))
0.7b	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`pow1`
16×	`log-prod`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
8×	`add-exp-log` `log-pow`
6×	`add-cbrt-cube` `swap-sqr`
4×	`distribute-rgt-in` `log-div` `distribute-lft-in` `associate-r` `associate-l` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `rem-log-exp` `flip-+`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(log (+ 1.0 (exp x)))
5.0ms	(log (+ 1.0 (exp x)))
17.0ms	(cbrt (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))))
25.0ms	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(log (+ 1.0 (exp x)))
84.0ms	(log (+ 1.0 (exp x)))
67.0ms	(cbrt (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))))
124.0ms	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))

simplify1.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1260
1	236
0	98

prune394.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ (+ (* (* 1/2 x) x) x) 2.0)) (* x y))
0.0b	(+ (* (* 1/2 x) x) x)
8.3b	(log (+ (+ (* (* 1/2 x) x) x) 2.0))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate--l-` `distribute-lft-out`
1×	`+-commutative` `sum-log` `sub-neg` `distribute-lft1-in` `distribute-rgt-out` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 46

Calls

3 calls:

74.0ms	(- (log (+ (+ (* (* 1/2 x) x) x) 2.0)) (* x y))
21.0ms	(+ (* (* 1/2 x) x) x)
75.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))

series261.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (log (+ (+ (* (* 1/2 x) x) x) 2.0)) (* x y))
74.0ms	(+ (* (* 1/2 x) x) x)
68.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	1307
1	308
0	123

prune316.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (+ (+ (* (* 1/2 x) x) x) 2.0)))
8.3b	(log (+ (+ (* (* 1/2 x) x) x) 2.0))
8.3b	(log (+ (+ (* (* 1/2 x) x) x) 2.0))
8.3b	(log (+ (+ (* (* 1/2 x) x) x) 2.0))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (+ (+ (* (* 1/2 x) x) x) 2.0)))
58.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))
62.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))
51.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))

series476.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (log (+ (+ (* (* 1/2 x) x) x) 2.0)))
89.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))
62.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))
79.0ms	(log (+ (+ (* (* 1/2 x) x) x) 2.0))

simplify1.5s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1354
1	348
0	137

prune504.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes214.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.1s	2391×	body	10240	exit
681.0ms	8401×	body	80	valid
140.0ms	264×	body	640	valid
88.0ms	117×	body	1280	valid
50.0ms	201×	body	320	valid
20.0ms	128×	body	160	valid