Details

sample61.0ms

Algorithm

intervals

Results

18.0ms	48×	body	1280	valid
11.0ms	133×	body	80	valid
10.0ms	40×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	13×	body	160	valid

simplify569.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
3.3b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

30.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
14.0ms	(+ 1.0 (exp (* -2.0 x)))
127.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series221.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
25.0ms	(+ 1.0 (exp (* -2.0 x)))
137.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.1s

Counts: 69 → 69

prune252.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0))))
0.0b	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
3.3b	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
45×	`times-frac`
36×	`unpow-prod-down` `cube-prod`
30×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out` `sqr-pow`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3-+` `associate-/r/` `flip-+`
5×	`distribute-lft-out--`
4×	`associate-r`
3×	`pow-unpow` `div-inv`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `distribute-lft-in` `diff-log` `unpow3` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip--`

Counts

4 → 154

Calls

4 calls:

9.0ms	(+ 1.0 (exp (* -2.0 x)))
228.0ms	(* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0))))
32.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
246.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series438.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ 1.0 (exp (* -2.0 x)))
126.0ms	(* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0))))
64.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
225.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify2.6s

Counts: 166 → 166

prune629.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 1.0 x) (+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))))

0.1b

(* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))

8.4b

(+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-l*`
12×	`associate-r`
10×	`add-log-exp`
8×	`add-cbrt-cube` `unswap-sqr`
6×	`prod-exp`
5×	`unpow-prod-down` `cube-prod`
3×	`pow1` `div-exp` `associate-*l/` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `frac-add` `*-commutative` `flip--` `flip-+` `div-inv` `associate--r+`

Counts

3 → 76

Calls

3 calls:

40.0ms

(- (* 1.0 x) (+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))))

52.0ms

(* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))

30.0ms

(+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms

(- (* 1.0 x) (+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))))

45.0ms

(* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))

147.0ms

(+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3)))

simplify1.1s

Counts: 85 → 85

prune379.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b

(* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))

1.0b

(log (exp (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))))

11.8b

(+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (log (exp (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
16×	`add-exp-log`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`times-frac` `associate-l`
12×	`associate-r`
8×	`add-cbrt-cube` `unswap-sqr`
6×	`log-prod` `prod-exp`
5×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`pow1`
3×	`associate-+r+` `div-exp` `log-pow` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `exp-prod` `exp-to-pow` `flip3-+` `unpow3` `rem-log-exp` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

3 → 78

Calls

3 calls:

29.0ms

(* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))

4.0ms

(log (exp (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))))

36.0ms

(+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (log (exp (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3)))))

series297.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms

(* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))

63.0ms

(log (exp (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3))))

189.0ms

(+ (* (/ 1.0 18014398509481984.0) (pow x 4)) (log (exp (* (/ 3002399751580331.0 9007199254740992.0) (pow x 3)))))

simplify669.0ms

Counts: 87 → 87

prune272.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 29.8b

bsearch3.0ms

simplify909.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	1700×	body	1280	valid
343.0ms	1280×	body	640	valid
272.0ms	4031×	body	80	valid
147.0ms	643×	body	320	valid
36.0ms	346×	body	160	valid