Details

sample68.0ms

Algorithm

intervals

Results

37.0ms	86×	body	10240	exit
10.0ms	272×	body	80	valid
3.0ms	5×	body	1280	valid
2.0ms	9×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	5
done	23	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(+ 1.0 (exp x))
65.0ms	(log (+ 1.0 (exp x)))

simplify60.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	236	404
1	702	369
2	2284	367
3	5002	340
done	5002	340

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.8b	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)))
1.0b	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
5.0b	(- (exp x) 1.0)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
54×	`times-frac`
44×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
35×	`distribute-lft-out`
31×	`unpow-prod-down` `log-prod` `cube-prod`
9×	`add-exp-log` `prod-diff` `associate-/l*`
7×	`sum-cubes` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-neg` `associate-/r*`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `log-div` `flip3--` `frac-2neg` `flip3-+` `diff-log` `unpow3` `pow-exp` `clear-num` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 155

Calls

4 calls:

4.0ms	(pow (exp x) 3)
66.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)))
23.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
12.0ms	(- (exp x) 1.0)

series289.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
86.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0)))
164.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (fma (exp x) (- (exp x) 1.0) (* 1.0 1.0))))
16.0ms	(- (exp x) 1.0)

simplify77.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	497	2066
1	2082	1890
2	5002	1886
done	5002	1886

prune398.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (fma 0.5 (pow x 2) (fma 1.0 x 2.0))) (* x y))
0.0b	(fma 0.5 (pow x 2) (fma 1.0 x 2.0))
7.3b	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
4×	`add-exp-log` `fma-neg` `prod-diff` `add-log-exp`
3×	`expm1-log1p-u` `associate--l+` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `fma-udef`

Counts

3 → 49

Calls

3 calls:

9.0ms	(- (log (fma 0.5 (pow x 2) (fma 1.0 x 2.0))) (* x y))
0.0ms	(fma 0.5 (pow x 2) (fma 1.0 x 2.0))
2.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(- (log (fma 0.5 (pow x 2) (fma 1.0 x 2.0))) (* x y))
22.0ms	(fma 0.5 (pow x 2) (fma 1.0 x 2.0))
83.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))

simplify99.0ms

Counts

58 → 58

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	260	431
1	846	394
2	3772	384
3	5001	373
done	5001	373

prune173.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (fma 0.5 (pow x 2) (fma 1.0 x 2.0))))
7.3b	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))
7.3b	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))
7.3b	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
1×	`pow1/3`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (log (fma 0.5 (pow x 2) (fma 1.0 x 2.0))))
1.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))
1.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))
2.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (log (fma 0.5 (pow x 2) (fma 1.0 x 2.0))))
87.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))
84.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))
86.0ms	(log (fma 0.5 (pow x 2) (fma 1.0 x 2.0)))

simplify36.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	355	664
1	1224	609
2	5001	574
done	5001	574

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes42.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13
done	17	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2581×	body	10240	exit
319.0ms	8411×	body	80	valid
69.0ms	261×	body	640	valid
67.0ms	136×	body	1280	valid
29.0ms	186×	body	320	valid
10.0ms	106×	body	160	valid