Details

sample91.0ms

Algorithm

intervals

Results

50.0ms	75×	body	10240	exit
17.0ms	277×	body	80	valid
3.0ms	3×	body	1280	valid
2.0ms	6×	body	640	valid
2.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.7b	(log (+ 1.0 (exp x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

24.0ms	(+ 1.0 (exp x))
18.0ms	(- (log (+ 1.0 (exp x))) (* x y))
12.0ms	(log (+ 1.0 (exp x)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
108.0ms	(- (log (+ 1.0 (exp x))) (* x y))
90.0ms	(log (+ 1.0 (exp x)))

simplify3.7s

Counts

71 → 71

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	105	724
1	237	686
2	579	635
3	1589	618
4	3745	590
done	5000	589

prune242.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x) (log (+ 1.0 (exp x))))
0.0b	(+ 1.0 (exp x))
0.7b	(log (+ 1.0 (exp x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `add-exp-log` `log-prod`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow` `fma-udef`

Counts

3 → 44

Calls

3 calls:

0.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
14.0ms	(+ 1.0 (exp x))
13.0ms	(log (+ 1.0 (exp x)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(fma y (- x) (log (+ 1.0 (exp x))))
13.0ms	(+ 1.0 (exp x))
100.0ms	(log (+ 1.0 (exp x)))

simplify2.6s

Counts

53 → 53

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	82	466
1	166	449
2	375	407
3	903	403
4	2290	400
done	5001	399

prune177.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.7b	(cbrt (pow (log (+ (exp x) 1.0)) 3))
0.7b	(pow (log (+ (exp x) 1.0)) 3)
0.7b	(log (+ (exp x) 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log-prod` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cube-mult` `log-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

16.0ms	(+ (exp x) 1.0)
3.0ms	(cbrt (pow (log (+ (exp x) 1.0)) 3))
4.0ms	(pow (log (+ (exp x) 1.0)) 3)
21.0ms	(log (+ (exp x) 1.0))

series321.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (exp x) 1.0)
74.0ms	(cbrt (pow (log (+ (exp x) 1.0)) 3))
133.0ms	(pow (log (+ (exp x) 1.0)) 3)
101.0ms	(log (+ (exp x) 1.0))

simplify2.8s

Counts

98 → 98

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	121	1060
1	270	868
2	747	800
3	3461	781
done	5001	774

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 0.5 y) (log 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (- 0.5 y) (log 2.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma x (- 0.5 y) (log 2.0))

simplify893.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	21	131
1	33	131
2	67	108
3	253	108
4	1413	108
done	5000	108

prune38.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	15	12
done	15	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.8s	2330×	body	10240	exit
591.0ms	8407×	body	80	valid
120.0ms	247×	body	640	valid
89.0ms	132×	body	1280	valid
43.0ms	189×	body	320	valid
18.0ms	117×	body	160	valid