Details

sample129.0ms

Algorithm

intervals

Results

85.0ms	180×	body	1280	valid
10.0ms	41×	body	640	valid
10.0ms	245×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.0s

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (- x)) 2.0)
4.3b	(+ (- (exp (- x)) 2.0) (exp x))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

30.0ms	(- (exp (- x)) 2.0)
99.0ms	(+ (- (exp (- x)) 2.0) (exp x))

series103.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (exp (- x)) 2.0)
80.0ms	(+ (- (exp (- x)) 2.0) (exp x))

simplify2.0s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	4401
2	700
1	198
0	79

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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`
7×	`add-cbrt-cube`
6×	`prod-exp` `unswap-sqr`
5×	`add-log-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 61

Calls

3 calls:

8.0ms	(+ (* (pow x 6) 1/360) (* 1/12 (pow x 4)))
10.0ms	(* (pow x 6) 1/360)
10.0ms	(* 1/12 (pow x 4))

series353.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(+ (* (pow x 6) 1/360) (* 1/12 (pow x 4)))
75.0ms	(* (pow x 6) 1/360)
77.0ms	(* 1/12 (pow x 4))

simplify781.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1033
1	266
0	111

prune350.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (exp x) -2) (* 2.0 2.0))
0.0b	(/ (- (pow (exp x) -2) (* 2.0 2.0)) (+ (exp (- x)) 2.0))
0.0b	(pow (exp x) -2)
3.3b	(+ (/ (- (pow (exp x) -2) (* 2.0 2.0)) (+ (exp (- x)) 2.0)) (exp x))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
24×	`times-frac`
19×	`add-cube-cbrt`
18×	`difference-of-squares`
9×	`unpow-prod-down`
8×	`distribute-lft-out` `add-log-exp`
7×	`sqr-pow`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1`
4×	`associate-/r*` `pow-pow`
3×	`pow-unpow` `exp-prod`
2×	`flip3-+` `flip3--` `div-sub` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-exp` `associate-+l-` `div-inv`

Counts

4 → 99

Calls

4 calls:

34.0ms	(- (pow (exp x) -2) (* 2.0 2.0))
102.0ms	(/ (- (pow (exp x) -2) (* 2.0 2.0)) (+ (exp (- x)) 2.0))
7.0ms	(pow (exp x) -2)
195.0ms	(+ (/ (- (pow (exp x) -2) (* 2.0 2.0)) (+ (exp (- x)) 2.0)) (exp x))

series392.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (pow (exp x) -2) (* 2.0 2.0))
81.0ms	(/ (- (pow (exp x) -2) (* 2.0 2.0)) (+ (exp (- x)) 2.0))
22.0ms	(pow (exp x) -2)
244.0ms	(+ (/ (- (pow (exp x) -2) (* 2.0 2.0)) (+ (exp (- x)) 2.0)) (exp x))

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	2285
1	561
0	207

prune482.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (exp x) -2) (* 2.0 2.0))
0.0b	(pow (exp x) -2)
0.0b	(* (- (pow (exp x) -2) (* 2.0 2.0)) (/ 1 (+ (exp (- x)) 2.0)))
4.3b	(+ (* (- (pow (exp x) -2) (* 2.0 2.0)) (/ 1 (+ (exp (- x)) 2.0))) (exp x))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
18×	`associate-r`
16×	`add-cube-cbrt`
14×	`times-frac`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`associate-l` `difference-of-squares`
5×	`unpow-prod-down`
4×	`pow-pow` `prod-exp`
3×	`pow-unpow` `exp-prod` `flip3--` `flip--` `distribute-lft-out` `unswap-sqr` `sqr-pow`
2×	`frac-times` `flip3-+` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `pow-exp` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 94

Calls

4 calls:

24.0ms	(- (pow (exp x) -2) (* 2.0 2.0))
4.0ms	(pow (exp x) -2)
114.0ms	(* (- (pow (exp x) -2) (* 2.0 2.0)) (/ 1 (+ (exp (- x)) 2.0)))
65.0ms	(+ (* (- (pow (exp x) -2) (* 2.0 2.0)) (/ 1 (+ (exp (- x)) 2.0))) (exp x))

series363.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (pow (exp x) -2) (* 2.0 2.0))
33.0ms	(pow (exp x) -2)
74.0ms	(* (- (pow (exp x) -2) (* 2.0 2.0)) (/ 1 (+ (exp (- x)) 2.0)))
203.0ms	(+ (* (- (pow (exp x) -2) (* 2.0 2.0)) (/ 1 (+ (exp (- x)) 2.0))) (exp x))

simplify3.9s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	3571
1	620
0	216

prune547.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.4s	5605×	body	1280	valid
466.0ms	1277×	body	640	valid
436.0ms	8051×	body	80	valid
157.0ms	661×	body	320	valid
31.0ms	303×	body	160	valid