Details

sample172.0ms

Algorithm

intervals

Results

107.0ms	174×	body	1280	valid
16.0ms	45×	body	640	valid
15.0ms	271×	body	80	valid
9.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify11.7s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.1b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

22.0ms	(- (exp x) 2.0)
126.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (exp x) 2.0)
97.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.4s

Counts: 41 → 41

prune125.0ms

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 2) (+ (* (/ 1 360) (pow x 6)) (* (/ 1 12) (pow x 4))))
0.0b	(* (/ 1 360) (pow x 6))
0.1b	(* (/ 1 12) (pow x 4))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
49×	`add-exp-log`
30×	`times-frac`
29×	`*-un-lft-identity`
26×	`associate-l`
24×	`prod-exp`
21×	`add-cube-cbrt`
18×	`unswap-sqr`
14×	`associate-r`
13×	`add-cbrt-cube`
12×	`unpow-prod-down` `div-exp`
8×	`pow-to-exp` `pow-exp` `add-log-exp` `sqr-pow`
6×	`rec-exp` `1-exp`
4×	`cbrt-unprod`
3×	`pow1` `sum-log`
2×	`cbrt-undiv` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

77.0ms	(+ (pow x 2) (+ (* (/ 1 360) (pow x 6)) (* (/ 1 12) (pow x 4))))
53.0ms	(* (/ 1 360) (pow x 6))
33.0ms	(* (/ 1 12) (pow x 4))

series270.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (pow x 2) (+ (* (/ 1 360) (pow x 6)) (* (/ 1 12) (pow x 4))))
90.0ms	(* (/ 1 360) (pow x 6))
77.0ms	(* (/ 1 12) (pow x 4))

simplify1.0s

Counts: 127 → 127

prune512.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow x 6) 360)
0.1b	(/ (pow x 4) 12)
0.2b	(pow (+ (+ (/ (pow x 4) 12) (/ (pow x 6) 360)) (pow x 2)) 3)
22.0b	(cbrt (pow (+ (+ (/ (pow x 4) 12) (/ (pow x 6) 360)) (pow x 2)) 3))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
42×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
34×	`unpow-prod-down`
16×	`cbrt-prod`
15×	`add-exp-log`
14×	`associate-/l*`
12×	`distribute-lft-out`
10×	`cube-prod` `sqr-pow`
9×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`pow1`
4×	`cube-div` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `frac-2neg` `flip3-+` `unpow3` `clear-num` `flip-+` `div-inv`
1×	`pow-pow` `pow1/3` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 146

Calls

4 calls:

17.0ms	(/ (pow x 6) 360)
17.0ms	(/ (pow x 4) 12)
635.0ms	(pow (+ (+ (/ (pow x 4) 12) (/ (pow x 6) 360)) (pow x 2)) 3)
555.0ms	(cbrt (pow (+ (+ (/ (pow x 4) 12) (/ (pow x 6) 360)) (pow x 2)) 3))

series332.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (pow x 6) 360)
40.0ms	(/ (pow x 4) 12)
117.0ms	(pow (+ (+ (/ (pow x 4) 12) (/ (pow x 6) 360)) (pow x 2)) 3)
86.0ms	(cbrt (pow (+ (+ (/ (pow x 4) 12) (/ (pow x 6) 360)) (pow x 2)) 3))

simplify1.1s

Counts: 158 → 158

prune679.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 7 240) (pow x 10))
21.9b	(cbrt (+ (* (/ 1 4) (pow x 8)) (+ (pow x 6) (* (/ 7 240) (pow x 10)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
15×	`add-exp-log`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`associate-r` `add-cbrt-cube`
6×	`prod-exp` `unswap-sqr`
5×	`unpow-prod-down`
4×	`cbrt-div`
3×	`cbrt-prod` `div-exp` `associate-*l/` `sqr-pow`
2×	`pow1` `pow-to-exp` `flip3-+` `frac-add` `pow-exp` `cbrt-unprod` `flip-+` `add-log-exp`
1×	`cbrt-undiv` `pow1/3` `*-commutative` `div-inv`

Counts

2 → 58

Calls

2 calls:

22.0ms	(* (/ 7 240) (pow x 10))
51.0ms	(cbrt (+ (* (/ 1 4) (pow x 8)) (+ (pow x 6) (* (/ 7 240) (pow x 10)))))

series335.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* (/ 7 240) (pow x 10))
229.0ms	(cbrt (+ (* (/ 1 4) (pow x 8)) (+ (pow x 6) (* (/ 7 240) (pow x 10)))))

simplify1.0s

Counts: 64 → 64

prune332.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify678.0ms

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.2s	5618×	body	1280	valid
793.0ms	7860×	body	80	valid
465.0ms	1281×	body	640	valid
156.0ms	604×	body	320	valid
38.0ms	319×	body	160	valid