Details

sample110.0ms

Algorithm: halfpoints

simplify59.0ms

Algorithm

egg-herbie

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

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)))

rewrite17.0ms

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:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))

simplify168.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (27.0ms)

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

prune161.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite17.0ms

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:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
10.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))
82.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
60.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (101.0ms)

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

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

97×	`sqrt-prod`
93×	`*-un-lft-identity`
84×	`times-frac`
63×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`associate-l`
27×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
10×	`prod-exp` `cbrt-unprod`
9×	`pow1`
8×	`add-log-exp`
7×	`associate-/l*`
6×	`cbrt-undiv` `fma-def` `div-exp` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `pow-prod-down` `associate-*l/` `flip-+`
2×	`+-commutative` `sqrt-div` `sum-log` `div-inv` `associate-/l/`
1×	`frac-times` `sqrt-undiv` `frac-2neg` `associate-r/` `associate-r` `clear-num` `-commutative`

Counts

4 → 180

Calls

4 calls:

9.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
24.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
8.0ms	(+ (exp x) (exp (- x)))
5.0ms	(+ (exp x) (exp (- x)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
141.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
27.0ms	(+ (exp x) (exp (- x)))
23.0ms	(+ (exp x) (exp (- x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	558	2748
1	2349	2235
2	5001	2103

prune497.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (cos y) (/ 2.0 (+ (exp (* -1 x)) (exp x))))
0.0b	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
0.0b	(+ (exp (* -1 x)) (exp x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
98×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
17×	`distribute-lft-out`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sum-log`

Counts

3 → 144

Calls

3 calls:

15.0ms	(/ (cos y) (/ 2.0 (+ (exp (* -1 x)) (exp x))))
6.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
5.0ms	(+ (exp (* -1 x)) (exp x))

series119.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (cos y) (/ 2.0 (+ (exp (* -1 x)) (exp x))))
36.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
21.0ms	(+ (exp (* -1 x)) (exp x))

simplify61.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	499	1760
1	2188	1664
2	5001	1655

prune575.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample2.4s

Algorithm: halfpoints