Details

sample138.0ms

Algorithm

intervals

Results

62.0ms	115×	body	1280	valid
35.0ms	77×	body	640	valid
15.0ms	251×	body	80	valid
9.0ms	38×	body	320	valid
2.0ms	16×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:

26.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify1.7s

Counts

18 → 18

Iterations

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

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite118.0ms

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:

35.0ms	(+ (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5)))
56.0ms	(* x (+ (* 1/3 (* x x)) 2))
8.0ms	(* 1/60 (pow x 5))
17.0ms	(* 1/3 (* x x))

series329.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* x (+ (* 1/3 (* x x)) 2)) (* 1/60 (pow x 5)))
109.0ms	(* x (+ (* 1/3 (* x x)) 2))
96.0ms	(* 1/60 (pow x 5))
49.0ms	(* 1/3 (* x x))

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1540
1	427
0	144

prune415.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

16.0ms	(+ (* 2 x) (* 1/60 (pow x 5)))
15.0ms	(* 1/60 (pow x 5))
36.0ms	(* (* 1/3 (* x x)) x)
22.0ms	(* 1/3 (* x x))

series355.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(+ (* 2 x) (* 1/60 (pow x 5)))
57.0ms	(* 1/60 (pow x 5))
68.0ms	(* (* 1/3 (* x x)) x)
31.0ms	(* 1/3 (* x x))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1044
1	345
0	125

prune395.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize125.0ms

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))))))

rewrite677.0ms

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:

24.0ms	(* 1/3 (* x x))
25.0ms	(* 1/3 (* x x))
13.0ms	(* 1/3 (* x x))
612.0ms	(/ (+ (* 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))))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 1/3 (* x x))
44.0ms	(* 1/3 (* x x))
55.0ms	(* 1/3 (* x x))
303.0ms	(/ (+ (* 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))))))

simplify3.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	3787
1	745
0	217

prune874.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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

sample5.3s

Algorithm

intervals

Results

2.7s	3343×	body	1280	valid
1.1s	2470×	body	640	valid
704.0ms	8232×	body	80	valid
361.0ms	1259×	body	320	valid
101.0ms	636×	body	160	valid