Details

sample183.0ms

Algorithm

halfpoints

Results

simplify3.8s

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

15.2b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 103

Calls

4 calls:

Slowest

58.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
53.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
17.0ms	(+ (exp x) (exp (- x)))
15.0ms	(- (exp x) (exp (- x)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
95.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
66.0ms	(- (exp x) (exp (- x)))
37.0ms	(+ (exp x) (exp (- x)))

simplify772.0ms

Counts: 115 → 115

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

15.2b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
14×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`associate-r`
2×	`+-commutative` `sum-log` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--`

Counts

4 → 80

Calls

4 calls:

Slowest

42.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
13.0ms	(+ (exp x) (exp (- x)))
11.0ms	(- (exp x) (exp (- x)))
9.0ms	(+ (exp x) (exp (- x)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
44.0ms	(- (exp x) (exp (- x)))
26.0ms	(+ (exp x) (exp (- x)))
24.0ms	(+ (exp x) (exp (- x)))

simplify1.2s

Counts: 92 → 92

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

15.2b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
32×	`cbrt-prod`
30×	`add-cube-cbrt`
19×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `distribute-lft-out` `add-log-exp`
4×	`insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`associate-r` `div-inv`
2×	`cbrt-div` `pow1/3` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--`

Counts

4 → 106

Calls

4 calls:

Slowest

55.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
17.0ms	(- (exp x) (exp (- x)))
13.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2))
11.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2))

series509.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

188.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2))
180.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2))
95.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
46.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts: 118 → 118

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

15.2b	(- (exp x) (exp (- x)))
1.0b	(/ 1 (sqrt 2))
1.0b	(/ (+ (exp x) (exp (- x))) (sqrt 2))
0.7b	(* (/ 1 (sqrt 2)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2)) (cos y)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
60×	`times-frac`
51×	`add-sqr-sqrt`
49×	`add-exp-log` `add-cube-cbrt`
36×	`sqrt-prod`
29×	`add-cbrt-cube`
22×	`associate-l`
20×	`prod-exp`
13×	`div-exp`
12×	`associate-/r*`
11×	`pow1`
10×	`cbrt-unprod`
7×	`cbrt-undiv` `distribute-lft-out` `associate-/l*`
6×	`add-log-exp`
4×	`rec-exp` `1-exp` `insert-posit16`
3×	`pow-prod-down` `associate-*l/` `div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `sub-neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `diff-log` `associate-r` `associate-r/` `-commutative` `flip-+` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 165

Calls

4 calls:

Slowest

103.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2)) (cos y)))
54.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2))
11.0ms	(- (exp x) (exp (- x)))
6.0ms	(/ 1 (sqrt 2))

series370.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

206.0ms	(* (/ 1 (sqrt 2)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2)) (cos y)))
105.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2))
59.0ms	(- (exp x) (exp (- x)))
0.0ms	(/ 1 (sqrt 2))

simplify1.4s

Counts: 175 → 175

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample6.5s

Algorithm

halfpoints

Results