Details

sample80.0ms

Algorithm

intervals

Results

26.0ms	100×	body	1280	valid
13.0ms	87×	body	640	valid
6.0ms	396×	pre	80	true
4.0ms	42×	body	320	valid
4.0ms	151×	body	80	valid
1.0ms	16×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize8.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite16.0ms

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:

15.0ms

(- (exp x) 1.0)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

simplify4.9s

Counts

18 → 18

Iterations

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

prune211.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* x x) (+ 1/2 (* 1/6 x))))
0.0b	(* (* x x) (+ 1/2 (* 1/6 x)))
0.3b	(* 1/6 x)

rewrite80.0ms

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×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 57

Calls

3 calls:

9.0ms	(+ x (* (* x x) (+ 1/2 (* 1/6 x))))
58.0ms	(* (* x x) (+ 1/2 (* 1/6 x)))
10.0ms	(* 1/6 x)

series155.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (* (* x x) (+ 1/2 (* 1/6 x))))
92.0ms	(* (* x x) (+ 1/2 (* 1/6 x)))
21.0ms	(* 1/6 x)

simplify2.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1186
1	301
0	101

prune557.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 1.0) (exp x))
0.0b	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* 1.0 1.0) (* (+ (exp x) 1.0) (exp x))))
0.1b	(exp (* x 3))
5.3b	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

rewrite272.0ms

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:

66.0ms	(* (+ (exp x) 1.0) (exp x))
150.0ms	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* 1.0 1.0) (* (+ (exp x) 1.0) (exp x))))
15.0ms	(exp (* x 3))
29.0ms	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

series320.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (exp x) 1.0) (exp x))
219.0ms	(/ (- (exp (* x 3)) (* (* 1.0 1.0) 1.0)) (+ (* 1.0 1.0) (* (+ (exp x) 1.0) (exp x))))
18.0ms	(exp (* x 3))
46.0ms	(- (exp (* x 3)) (* (* 1.0 1.0) 1.0))

simplify3.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1472
1	441
0	169

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

5.4b	(+ (exp x) (- 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity` `add-log-exp`
2×	`sum-log` `distribute-lft-out`
1×	`neg-sub0` `add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `add-cbrt-cube` `unsub-neg` `neg-log` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 18

Calls

1 calls:

28.0ms

(+ (exp x) (- 1.0))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ (exp x) (- 1.0))

simplify5.4s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
4	2592
3	1108
2	391
1	117
0	43

prune133.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes507.0ms

Accuracy

97.3% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

888.0ms	3379×	body	1280	valid
459.0ms	2572×	body	640	valid
200.0ms	11958×	pre	80	true
176.0ms	4131×	body	80	valid
114.0ms	1238×	body	320	valid
41.0ms	638×	body	160	valid