Details

sample221.0ms

Algorithm: halfpoints

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	128	11
5	247	11
6	1038	11
done	5000	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.3b	(- (exp x) (exp (- x)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
5×	`pow1`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `fma-def` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 85

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.0ms	(- (exp x) (exp (- x)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
95.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

94 → 94

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	170	1327
1	422	1168
2	1949	989
done	5001	929

prune494.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.3b	(- (exp x) (exp (- x)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
10×	`add-exp-log`
9×	`prod-diff` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`expm1-log1p-u` `log-prod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-def` `fma-neg` `associate-r`
2×	`log-div` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `associate-l/` `sum-log` `log-pow` `-commutative` `flip--` `div-inv`

Counts

4 → 102

Calls

4 calls:

11.0ms	(log (+ (exp x) (exp (- x))))
18.0ms	(+ (exp x) (exp (- x)))
73.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
25.0ms	(- (exp x) (exp (- x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(log (+ (exp x) (exp (- x))))
31.0ms	(+ (exp x) (exp (- x)))
105.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	192	1570
1	455	1398
2	2024	1193
done	5000	1130

prune699.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- x)) 3)
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(/ (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (fma (exp x) (exp x) (expm1 (* x -2))))
19.3b	(- (exp x) (exp (- x)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
43×	`times-frac`
41×	`add-cube-cbrt`
20×	`distribute-lft-out`
19×	`unpow-prod-down` `cube-prod` `associate-l`
12×	`add-cbrt-cube`
11×	`add-exp-log` `pow-pow`
10×	`exp-prod`
9×	`prod-diff` `associate-/l*`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sum-cubes` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`distribute-lft-neg-in` `pow-unpow` `distribute-rgt-neg-in` `fma-neg` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `cube-div` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`neg-sub0` `exp-neg` `cube-mult` `pow-to-exp` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `exp-diff` `diff-log` `unpow3` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `-commutative` `flip--` `flip-+` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 160

Calls

4 calls:

9.0ms	(pow (exp (- x)) 3)
56.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
141.0ms	(/ (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (fma (exp x) (exp x) (expm1 (* x -2))))
17.0ms	(- (exp x) (exp (- x)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow (exp (- x)) 3)
107.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
163.0ms	(/ (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (fma (exp x) (exp x) (expm1 (* x -2))))
41.0ms	(- (exp x) (exp (- x)))

simplify2.2s

Counts

172 → 172

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	283	3262
1	702	2959
2	3548	2696
done	5000	2689

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	21	26
done	21	26

end0.0ms

sample5.6s

Algorithm: halfpoints