Details

sample38.0ms

Algorithm

intervals

Results

14.0ms	102×	body	1280	valid
7.0ms	83×	body	640	valid
3.0ms	374×	pre	80	true
2.0ms	49×	body	320	valid
1.0ms	121×	body	80	valid
1.0ms	19×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize3.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

11.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify2.4s

Counts

31 → 31

Iterations

Useful iterations: 4 (853.0ms)

Iter	Nodes	Cost
0	66	376
1	142	288
2	272	231
3	799	204
4	2411	175
done	5001	175

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
7.0b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
20×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`exp-sum`
6×	`distribute-lft-out`
5×	`associate-/l*`
4×	`add-exp-log` `fma-neg` `prod-diff` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 72

Calls

2 calls:

123.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
60.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
25.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.7s

Counts

78 → 78

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	132	1371
1	325	1326
2	941	1201
3	3167	1186
done	5001	1181

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 1.0 (exp (* 2 x)))
0.0b	(pow (exp (+ x x)) 3)
0.0b	(/ (- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3)) (* (+ 1.0 (exp x)) (fma (* 1.0 1.0) (fma 1.0 1.0 (exp (* 2 x))) (exp (* x 4)))))
7.0b	(- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

112×	`prod-diff`
109×	`add-sqr-sqrt`
96×	`unpow-prod-down` `cube-prod`
72×	`difference-of-squares`
63×	`*-un-lft-identity`
55×	`add-cube-cbrt`
54×	`sqr-pow`
44×	`exp-sum`
29×	`times-frac` `associate-/l*`
24×	`cube-mult` `unpow3`
14×	`fma-neg`
13×	`pow-pow`
12×	`exp-prod`
10×	`add-cbrt-cube`
9×	`add-exp-log`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`difference-cubes` `pow-unpow` `distribute-rgt-out` `distribute-lft-out` `distribute-lft-out--`
2×	`cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `flip--` `associate-/l/`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft1-in` `flip3-+` `count-2` `diff-log` `div-sub` `distribute-rgt1-in` `pow-exp` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 295

Calls

4 calls:

0.0ms	(fma 1.0 1.0 (exp (* 2 x)))
20.0ms	(pow (exp (+ x x)) 3)
208.0ms	(/ (- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3)) (* (+ 1.0 (exp x)) (fma (* 1.0 1.0) (fma 1.0 1.0 (exp (* 2 x))) (exp (* x 4)))))
109.0ms	(- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3))

series231.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(fma 1.0 1.0 (exp (* 2 x)))
28.0ms	(pow (exp (+ x x)) 3)
141.0ms	(/ (- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3)) (* (+ 1.0 (exp x)) (fma (* 1.0 1.0) (fma 1.0 1.0 (exp (* 2 x))) (exp (* x 4)))))
43.0ms	(- (pow (exp (+ x x)) 3) (pow (* 1.0 1.0) 3))

simplify1.6s

Counts

307 → 307

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	354	10469
1	824	6702
2	2829	5298
done	5000	5296

prune631.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms	3433×	body	1280	valid
206.0ms	2489×	body	640	valid
97.0ms	11975×	pre	80	true
63.0ms	1271×	body	320	valid
47.0ms	4174×	body	80	valid
19.0ms	608×	body	160	valid