Details

sample97.0ms

Algorithm

intervals

Results

38.0ms	106×	body	1280	valid
16.0ms	81×	body	640	valid
7.0ms	372×	pre	80	true
6.0ms	44×	body	320	valid
5.0ms	124×	body	80	valid
2.0ms	17×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize18.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) 1.0)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

31.0ms

(- (exp x) 1.0)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

simplify5.7s

Counts

18 → 18

Iterations

Iter	Nodes
done	5020
5	2794
4	967
3	434
2	197
1	84
0	40

prune226.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize109.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (* 1/6 x))
0.0b	(* (* x x) (+ 1/2 (* 1/6 x)))
0.4b	(* 1/6 x)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 55

Calls

3 calls:

21.0ms	(+ 1/2 (* 1/6 x))
113.0ms	(* (* x x) (+ 1/2 (* 1/6 x)))
28.0ms	(* 1/6 x)

series199.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ 1/2 (* 1/6 x))
94.0ms	(* (* x x) (+ 1/2 (* 1/6 x)))
33.0ms	(* 1/6 x)

simplify3.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1007
1	256
0	89

prune569.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize178.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 1.0) (exp x))
0.0b	(exp (* x 3))
0.0b	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* 1.0 1.0) (* (+ (exp x) 1.0) (exp x))))
5.7b	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`times-frac`
17×	`add-cube-cbrt`
15×	`difference-cubes` `pow3`
13×	`add-log-exp`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1` `exp-lft-cube` `exp-prod` `exp-to-pow` `associate-/l*`
4×	`associate-l` `insert-posit16`
3×	`associate-/r` `associate-r*`
2×	`flip3-+` `flip3--` `associate-*l/` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr` `rem-exp-log`

Counts

4 → 95

Calls

4 calls:

129.0ms	(* (+ (exp x) 1.0) (exp x))
19.0ms	(exp (* x 3))
208.0ms	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* 1.0 1.0) (* (+ (exp x) 1.0) (exp x))))
88.0ms	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

series288.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ (exp x) 1.0) (exp x))
15.0ms	(exp (* x 3))
199.0ms	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* 1.0 1.0) (* (+ (exp x) 1.0) (exp x))))
27.0ms	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

simplify3.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	1485
1	442
0	169

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize262.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x 3))
0.0b	(* (exp (* x 3)) (exp (* x 3)))
0.0b	(pow (exp (* x 3)) 3)
5.7b	(- (pow (exp (* x 3)) 3) (pow (* (* 1.0 1.0) 1.0) 3))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
23×	`add-sqr-sqrt`
20×	`exp-lft-cube` `exp-prod` `exp-to-pow`
13×	`*-un-lft-identity`
12×	`pow1`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `pow-sqr` `pow-prod-up`
8×	`difference-of-squares`
7×	`add-cbrt-cube` `sqr-pow`
5×	`unpow-prod-down` `cube-prod`
4×	`pow-pow` `add-exp-log` `insert-posit16`
3×	`pow-unpow` `swap-sqr` `associate-r` `associate-l`
1×	`pow2` `cube-mult` `pow-to-exp` `difference-cubes` `sub-neg` `pow-plus` `flip3--` `diff-log` `unpow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `unswap-sqr` `rem-exp-log`

Counts

4 → 115

Calls

4 calls:

15.0ms	(exp (* x 3))
56.0ms	(* (exp (* x 3)) (exp (* x 3)))
23.0ms	(pow (exp (* x 3)) 3)
92.0ms	(- (pow (exp (* x 3)) 3) (pow (* (* 1.0 1.0) 1.0) 3))

series217.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* x 3))
43.0ms	(* (exp (* x 3)) (exp (* x 3)))
66.0ms	(pow (exp (* x 3)) 3)
95.0ms	(- (pow (exp (* x 3)) 3) (pow (* (* 1.0 1.0) 1.0) 3))

simplify8.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
3	3384
2	913
1	369
0	134

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes210.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	3456×	body	1280	valid
678.0ms	2480×	body	640	valid
596.0ms	1237×	body	320	valid
293.0ms	11898×	pre	80	true
186.0ms	4073×	body	80	valid
91.0ms	652×	body	160	valid