Details

sample110.0ms

Algorithm

intervals

Results

55.0ms	115×	body	1280	valid
22.0ms	77×	body	640	valid
11.0ms	251×	body	80	valid
7.0ms	38×	body	320	valid
1.0ms	16×	body	160	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize24.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) (exp (- x)))

rewrite21.0ms

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:

21.0ms

(- (exp x) (exp (- x)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(- (exp x) (exp (- x)))

simplify1.8s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	1932
3	723
2	277
1	111
0	47

prune101.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5)))
0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

24.0ms	(+ (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5)))
60.0ms	(* x (+ (* 1/3 (* x x)) 2))
21.0ms	(* 1/60 (pow x 5))
26.0ms	(* 1/3 (* x x))

series256.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5)))
94.0ms	(* x (+ (* 1/3 (* x x)) 2))
68.0ms	(* 1/60 (pow x 5))
31.0ms	(* 1/3 (* x x))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1540
1	427
0	144

prune452.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (* 1/3 (* x x))) (* x 2)) (* 1/60 (pow x 5)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

243.0ms	(+ (+ (* x (* 1/3 (* x x))) (* x 2)) (* 1/60 (pow x 5)))
17.0ms	(* 1/60 (pow x 5))
45.0ms	(* x (* 1/3 (* x x)))
23.0ms	(* 1/3 (* x x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (+ (* x (* 1/3 (* x x))) (* x 2)) (* 1/60 (pow x 5)))
67.0ms	(* 1/60 (pow x 5))
78.0ms	(* x (* 1/3 (* x x)))
32.0ms	(* 1/3 (* x x))

simplify1.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1190
1	349
0	133

prune404.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize138.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
39.9b	(/ (+ (* 1/216000 (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (* (+ (* 1/3 (* x x)) 2) (+ (* 1/3 (* x x)) 2)) (* (+ (* 1/3 (* x x)) 2) (* (* x x) x)))) (+ (* (* x (+ (* 1/3 (* x x)) 2)) (* x (+ (* 1/3 (* x x)) 2))) (- (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5))))))

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*r/`
21×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
18×	`add-sqr-sqrt` `associate-/r/`
16×	`frac-add`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`flip3-+` `flip-+`
9×	`times-frac` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times` `flip3--` `flip--`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `-commutative` `associate-/l*` `unswap-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 108

Calls

4 calls:

13.0ms	(* 1/3 (* x x))
16.0ms	(* 1/3 (* x x))
26.0ms	(* 1/3 (* x x))
518.0ms	(/ (+ (* 1/216000 (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (* (+ (* 1/3 (* x x)) 2) (+ (* 1/3 (* x x)) 2)) (* (+ (* 1/3 (* x x)) 2) (* (* x x) x)))) (+ (* (* x (+ (* 1/3 (* x x)) 2)) (* x (+ (* 1/3 (* x x)) 2))) (- (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5))))))

series413.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1/3 (* x x))
33.0ms	(* 1/3 (* x x))
33.0ms	(* 1/3 (* x x))
316.0ms	(/ (+ (* 1/216000 (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (* (+ (* 1/3 (* x x)) 2) (+ (* 1/3 (* x x)) 2)) (* (+ (* 1/3 (* x x)) 2) (* (* x x) x)))) (+ (* (* x (+ (* 1/3 (* x x)) 2)) (* x (+ (* 1/3 (* x x)) 2))) (- (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5))))))

simplify3.0s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	3787
1	745
0	217

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.1s	3343×	body	1280	valid
955.0ms	2470×	body	640	valid
535.0ms	8232×	body	80	valid
361.0ms	1259×	body	320	valid
76.0ms	636×	body	160	valid