Details

sample35.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify40.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

Slowest

16.0ms

(/ 2 (+ (exp x) (exp (- x))))

series50.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

50.0ms

(/ 2 (+ (exp x) (exp (- x))))

simplify471.0ms

Counts: 52 → 39

prune289.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
98×	`sqrt-prod`
90×	`times-frac`
89×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
29×	`swap-sqr`
26×	`distribute-lft-out`
21×	`associate-r` `associate-l`
18×	`pow1`
12×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
8×	`associate-/r*` `sqrt-pow1` `pow1/2`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow-prod-up`
4×	`sqrt-div`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

3 → 183

Calls

3 calls:

Slowest

86.0ms	(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
16.0ms	(/ 2 (+ (exp x) (exp (- x))))
15.0ms	(/ 2 (+ (exp x) (exp (- x))))

series221.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

126.0ms	(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
53.0ms	(/ 2 (+ (exp x) (exp (- x))))
42.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify616.0ms

Counts: 254 → 192

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
0.0b	(* (sqrt (* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ (sqrt 2) (+ (exp x) (exp (- x))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
77×	`times-frac`
57×	`add-cube-cbrt`
56×	`sqrt-prod`
51×	`associate-r`
20×	`distribute-lft-out`
15×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
10×	`associate-l`
9×	`associate-/l*` `unswap-sqr`
8×	`associate-/r*` `associate-/r/`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `sqrt-div` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `pow1/2` `*-commutative`
1×	`frac-times` `sqrt-unprod` `associate-*l/`

Counts

4 → 195

Calls

4 calls:

Slowest

121.0ms	(* (sqrt (* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
73.0ms	(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
27.0ms	(/ (sqrt 2) (+ (exp x) (exp (- x))))
15.0ms	(/ 2 (+ (exp x) (exp (- x))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))
133.0ms	(* (sqrt (* (sqrt 2) (/ (sqrt 2) (+ (exp x) (exp (- x)))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
95.0ms	(/ (sqrt 2) (+ (exp x) (exp (- x))))
43.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify1.3s

Counts: 253 → 207

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(cbrt (/ 2 (+ (exp x) (exp (- x)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`cbrt-prod`
15×	`distribute-lft-out`
12×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
8×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 138

Calls

4 calls:

Slowest

20.0ms	(/ 2 (+ (exp x) (exp (- x))))
15.0ms	(/ 2 (+ (exp x) (exp (- x))))
15.0ms	(/ 2 (+ (exp x) (exp (- x))))
8.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

278.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
45.0ms	(/ 2 (+ (exp x) (exp (- x))))
40.0ms	(/ 2 (+ (exp x) (exp (- x))))
34.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify365.0ms

Counts: 207 → 150

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end1.0ms

sample713.0ms

Algorithm

intervals

Results

604.0ms

8000×

body

valid