Details

sample94.0ms

Algorithm: halfpoints

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	7
done	5002	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

52.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
17.0ms	(+ (exp x) (exp (- x)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))

simplify163.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	286	487
1	1053	428
2	4913	426
3	5001	426
done	5001	426

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`rem-sqrt-square` `pow1/2` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv`

Counts

4 → 80

Calls

4 calls:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
16.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))
84.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
65.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

simplify105.0ms

Counts

92 → 92

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	268	701
1	924	578
2	3961	554
3	5001	548
done	5001	548

prune277.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos y) (+ (exp (* -1 x)) (exp x)))
0.0b	(+ (exp (* -1 x)) (exp x))
0.3b	(pow (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) 3)
0.5b	(cbrt (pow (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) 3))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`cbrt-prod`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
14×	`unpow-prod-down` `cube-prod`
12×	`add-exp-log` `times-frac` `add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `div-inv`
3×	`pow-unpow` `fma-def` `associate-l` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `flip3-+` `unpow3` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `cbrt-div` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

39.0ms	(* (cos y) (+ (exp (* -1 x)) (exp x)))
12.0ms	(+ (exp (* -1 x)) (exp x))
16.0ms	(pow (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) 3)
4.0ms	(cbrt (pow (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) 3))

series221.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cos y) (+ (exp (* -1 x)) (exp x)))
26.0ms	(+ (exp (* -1 x)) (exp x))
91.0ms	(pow (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) 3)
58.0ms	(cbrt (pow (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) 3))

simplify57.0ms

Counts

124 → 124

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	427	1099
1	1964	1042
2	5001	1033
done	5001	1033

prune296.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10
done	12	10

end0.0ms

sample2.5s

Algorithm: halfpoints