Details

sample131.0ms

Algorithm

intervals

Results

74.0ms	190×	body	1280	valid
18.0ms	23×	body	320	valid
9.0ms	264×	body	80	valid
7.0ms	32×	body	640	valid
1.0ms	8×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

14.0ms	(- (exp x) 2.0)
74.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (exp x) 2.0)
89.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify551.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	825
1	215
0	93

prune192.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (pow x 6) 1/360) (* x x)) (* 1/12 (pow x 4)))
0.1b	(* (pow x 6) 1/360)
0.1b	(* 1/12 (pow x 4))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-exp-log`
10×	`associate-r` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube`
6×	`prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

3 → 63

Calls

3 calls:

30.0ms	(+ (+ (* (pow x 6) 1/360) (* x x)) (* 1/12 (pow x 4)))
10.0ms	(* (pow x 6) 1/360)
13.0ms	(* 1/12 (pow x 4))

series161.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (+ (* (pow x 6) 1/360) (* x x)) (* 1/12 (pow x 4)))
55.0ms	(* (pow x 6) 1/360)
40.0ms	(* 1/12 (pow x 4))

simplify665.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1304
1	300
0	121

prune376.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (log (pow (exp 1/360) (pow x 6))) (* x x)) (* 1/12 (pow x 4)))
0.1b	(pow (exp 1/360) (pow x 6))
0.1b	(* 1/12 (pow x 4))
0.6b	(log (pow (exp 1/360) (pow x 6)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`add-log-exp`
7×	`pow-unpow` `log-prod` `associate-r`
6×	`add-cbrt-cube`
5×	`pow1` `sqr-pow`
4×	`pow-pow`
3×	`pow-to-exp` `exp-prod` `sum-log` `rem-log-exp` `associate-l` `pow-exp` `prod-exp` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `log-pow` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 80

Calls

4 calls:

35.0ms	(+ (+ (log (pow (exp 1/360) (pow x 6))) (* x x)) (* 1/12 (pow x 4)))
7.0ms	(pow (exp 1/360) (pow x 6))
16.0ms	(* 1/12 (pow x 4))
6.0ms	(log (pow (exp 1/360) (pow x 6)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (+ (log (pow (exp 1/360) (pow x 6))) (* x x)) (* 1/12 (pow x 4)))
259.0ms	(pow (exp 1/360) (pow x 6))
40.0ms	(* 1/12 (pow x 4))
109.0ms	(log (pow (exp 1/360) (pow x 6)))

simplify715.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1533
1	372
0	147

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 6) 1/360)
0.1b	(* (pow x 4) 1/12)
2.8b	(exp (log (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12))))
30.1b	(log (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-exp-log`
14×	`associate-l`
13×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`pow1` `log-prod` `associate-r` `prod-exp` `unswap-sqr`
4×	`log-div` `exp-prod` `add-log-exp` `sqr-pow`
3×	`exp-sum`
2×	`pow-to-exp` `flip3-+` `exp-diff` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (pow x 6) 1/360)
10.0ms	(* (pow x 4) 1/12)
27.0ms	(exp (log (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12))))
24.0ms	(log (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (pow x 6) 1/360)
72.0ms	(* (pow x 4) 1/12)
105.0ms	(exp (log (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12))))
131.0ms	(log (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)))

simplify981.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1532
1	367
0	167

prune557.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.3s	5675×	body	1280	valid
405.0ms	8231×	body	80	valid
352.0ms	1211×	body	640	valid
108.0ms	640×	body	320	valid
34.0ms	300×	body	160	valid