Details

sample69.0ms

Algorithm

intervals

Results

26.0ms	106×	body	1280	valid
14.0ms	81×	body	640	valid
9.0ms	372×	pre	80	true
5.0ms	44×	body	320	valid
3.0ms	124×	body	80	valid
1.0ms	17×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize10.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) 1)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

14.0ms

(- (exp x) 1)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- (exp x) 1)

simplify2.3s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
3	2066
2	347
1	104
0	42

prune74.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:

9.0ms	(+ 1/2 (* x 1/6))
38.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
6.0ms	(* x 1/6)

series197.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ 1/2 (* x 1/6))
108.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
27.0ms	(* x 1/6)

simplify2.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
2	2266
1	292
0	90

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ (exp x) 1))
0.0b	(exp (* 3 x))
0.0b	(/ (+ -1 (exp (* 3 x))) (+ 1 (* (exp x) (+ (exp x) 1))))
5.7b	(+ -1 (exp (* 3 x)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1` `distribute-lft-out`
4×	`flip3-+` `associate-r` `flip-+` `insert-posit16` `associate-/l*`
3×	`associate-/r` `associate-l*`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `exp-prod` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 84

Calls

4 calls:

50.0ms	(* (exp x) (+ (exp x) 1))
12.0ms	(exp (* 3 x))
42.0ms	(/ (+ -1 (exp (* 3 x))) (+ 1 (* (exp x) (+ (exp x) 1))))
10.0ms	(+ -1 (exp (* 3 x)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (exp x) (+ (exp x) 1))
12.0ms	(exp (* 3 x))
80.0ms	(/ (+ -1 (exp (* 3 x))) (+ 1 (* (exp x) (+ (exp x) 1))))
28.0ms	(+ -1 (exp (* 3 x)))

simplify2.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2346
1	393
0	145

prune470.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 3 x))
0.0b	(* (exp (* 3 x)) (exp (* 3 x)))
0.0b	(pow (exp (* 3 x)) 3)
5.7b	(+ (pow -1 3) (pow (exp (* 3 x)) 3))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity` `add-log-exp`
14×	`exp-prod` `exp-to-pow`
13×	`add-sqr-sqrt`
12×	`pow1`
11×	`add-cube-cbrt`
7×	`unpow-prod-down` `add-cbrt-cube` `cube-prod`
5×	`pow-prod-down` `pow-sqr` `pow-prod-up` `distribute-lft-out`
4×	`add-exp-log` `insert-posit16`
3×	`pow-unpow` `pow-pow` `swap-sqr` `associate-r` `associate-l`
1×	`pow2` `cube-mult` `pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-plus` `unpow3` `pow-exp` `prod-exp` `sum-cubes` `*-commutative` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `unswap-sqr` `sqr-pow` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

7.0ms	(exp (* 3 x))
23.0ms	(* (exp (* 3 x)) (exp (* 3 x)))
6.0ms	(pow (exp (* 3 x)) 3)
19.0ms	(+ (pow -1 3) (pow (exp (* 3 x)) 3))

series152.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(exp (* 3 x))
27.0ms	(* (exp (* 3 x)) (exp (* 3 x)))
43.0ms	(pow (exp (* 3 x)) 3)
74.0ms	(+ (pow -1 3) (pow (exp (* 3 x)) 3))

simplify3.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	2417
1	344
0	114

prune471.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	3456×	body	1280	valid
917.0ms	2480×	body	640	valid
441.0ms	11898×	pre	80	true
207.0ms	4073×	body	80	valid
184.0ms	1237×	body	320	valid
88.0ms	652×	body	160	valid