Details

sample174.0ms

Algorithm

intervals

Results

108.0ms	175×	body	1280	valid
18.0ms	50×	body	640	valid
16.0ms	282×	body	80	valid
4.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	56	8
5	62	8
6	71	8
7	88	8
8	248	8
9	788	8
10	3132	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.3b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

22.0ms	(- (exp x) 2.0)
110.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (exp x) 2.0)
105.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	124	914
1	298	735
2	1173	637
done	5002	609

prune391.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
20.0ms	(* 1/12 (pow x 4))

series277.0ms

Counts

2 → 6

Calls

2 calls:

217.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
60.0ms	(* 1/12 (pow x 4))

simplify2.7s

Counts

43 → 43

Iterations

Useful iterations: 3 (613.0ms)

Iter	Nodes	Cost
0	67	403
1	134	371
2	395	345
3	2222	342
done	5000	342

prune270.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
3.1b	(+ (exp x) (- (exp (- x)) 2.0))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+r+`
9×	`add-log-exp`
3×	`fma-def` `fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

47.0ms	(- (exp (- x)) 2.0)
100.0ms	(+ (exp x) (- (exp (- x)) 2.0))

series131.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (exp (- x)) 2.0)
103.0ms	(+ (exp x) (- (exp (- x)) 2.0))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	115	842
1	288	705
2	1204	595
done	5001	547

prune296.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(pow (+ (exp (- x)) (- (exp x) 2.0)) 3)
0.0b	(cbrt (pow (+ (exp (- x)) (- (exp x) 2.0)) 3))
3.3b	(+ (exp (- x)) (- (exp x) 2.0))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`prod-diff`
16×	`cbrt-prod`
12×	`cube-div` `frac-add`
11×	`associate-+r+` `add-log-exp`
10×	`unpow-prod-down` `cube-prod` `distribute-lft-out`
7×	`flip3--` `flip--`
6×	`neg-sub0` `exp-neg` `cbrt-div` `exp-diff` `distribute-lft-out--`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `flip3-+` `fma-neg` `flip-+`
2×	`cube-mult` `sub-neg` `diff-log` `unpow3` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

24.0ms	(- (exp x) 2.0)
110.0ms	(pow (+ (exp (- x)) (- (exp x) 2.0)) 3)
100.0ms	(cbrt (pow (+ (exp (- x)) (- (exp x) 2.0)) 3))
82.0ms	(+ (exp (- x)) (- (exp x) 2.0))

series392.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (exp x) 2.0)
158.0ms	(pow (+ (exp (- x)) (- (exp x) 2.0)) 3)
107.0ms	(cbrt (pow (+ (exp (- x)) (- (exp x) 2.0)) 3))
107.0ms	(+ (exp (- x)) (- (exp x) 2.0))

simplify3.3s

Counts

143 → 143

Iterations

Useful iterations: 2 (790.0ms)

Iter	Nodes	Cost
0	202	2414
1	609	1967
2	3352	1734
done	5001	1734

prune769.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13
done	11	13

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.5s	5723×	body	1280	valid
612.0ms	1258×	body	640	valid
546.0ms	8110×	body	80	valid
127.0ms	595×	body	320	valid
45.0ms	291×	body	160	valid