Details

sample85.0ms

Algorithm

intervals

Results

27.0ms	73×	body	1280	valid
24.0ms	91×	body	10240	exit
11.0ms	47×	body	640	valid
4.0ms	29×	body	320	valid
4.0ms	100×	body	80	valid
1.0ms	7×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	8	7
done	8	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1.0))
2.1b	(- (exp x) 1.0)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 67

Calls

2 calls:

54.0ms	(/ (exp x) (- (exp x) 1.0))
25.0ms	(- (exp x) 1.0)

series71.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (exp x) (- (exp x) 1.0))
27.0ms	(- (exp x) 1.0)

simplify3.3s

Counts

73 → 73

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	117	900
1	239	790
2	511	706
3	1486	679
done	5001	650

prune179.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp x) (fma x (* x (fma x 1/6 1/2)) x))
0.0b	(fma x (* x (fma x 1/6 1/2)) x)
0.1b	(* x (fma x 1/6 1/2))
0.1b	(fma x 1/6 1/2)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

7.0ms	(/ (exp x) (fma x (* x (fma x 1/6 1/2)) x))
0.0ms	(fma x (* x (fma x 1/6 1/2)) x)
7.0ms	(* x (fma x 1/6 1/2))
0.0ms	(fma x 1/6 1/2)

series224.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (exp x) (fma x (* x (fma x 1/6 1/2)) x))
44.0ms	(fma x (* x (fma x 1/6 1/2)) x)
67.0ms	(* x (fma x 1/6 1/2))
34.0ms	(fma x 1/6 1/2)

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	128	1105
1	244	1076
2	612	964
3	1836	964
done	5002	964

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
2.1b	(- 1 (/ 1.0 (exp x)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
70×	`times-frac`
59×	`add-cube-cbrt`
39×	`prod-diff`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`div-inv` `distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 145

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
51.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
19.0ms	(- 1 (/ 1.0 (exp x)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (exp x))
73.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
39.0ms	(- 1 (/ 1.0 (exp x)))

simplify4.9s

Counts

154 → 154

Iterations

Useful iterations: done (4.9s)

Iter	Nodes	Cost
0	257	3113
1	540	2570
2	1217	2026
3	4025	1756
done	5000	1755

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (cbrt (pow (/ 1.0 (exp x)) 3))))
0.0b	(pow (/ 1.0 (exp x)) 3)
2.1b	(- 1 (cbrt (pow (/ 1.0 (exp x)) 3)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

249×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
156×	`cbrt-prod`
155×	`times-frac`
134×	`add-cube-cbrt`
105×	`prod-diff`
72×	`unpow-prod-down` `cube-prod`
70×	`difference-of-squares`
21×	`associate-/r*`
14×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `cube-mult` `unpow3` `div-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `pow-unpow` `fma-neg`
2×	`flip3--` `frac-2neg` `pow-exp` `clear-num` `associate-/r/` `flip--` `rem-cube-cbrt`
1×	`cube-div` `pow-to-exp` `sub-neg` `rec-exp` `pow-flip` `pow-pow` `diff-log` `1-exp` `inv-pow`

Counts

4 → 309

Calls

4 calls:

7.0ms	(/ 1.0 (exp x))
147.0ms	(/ 1 (- 1 (cbrt (pow (/ 1.0 (exp x)) 3))))
17.0ms	(pow (/ 1.0 (exp x)) 3)
95.0ms	(- 1 (cbrt (pow (/ 1.0 (exp x)) 3)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1.0 (exp x))
82.0ms	(/ 1 (- 1 (cbrt (pow (/ 1.0 (exp x)) 3))))
65.0ms	(pow (/ 1.0 (exp x)) 3)
60.0ms	(- 1 (cbrt (pow (/ 1.0 (exp x)) 3)))

simplify2.5s

Counts

321 → 321

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	445	9991
1	890	5736
2	2069	4657
done	5001	4128

prune444.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
done	9	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

876.0ms	2248×	body	1280	valid
757.0ms	2556×	body	10240	exit
379.0ms	1632×	body	640	valid
161.0ms	2906×	body	80	valid
112.0ms	824×	body	320	valid
34.0ms	392×	body	160	valid