Details

sample103.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

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)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))

simplify166.0ms

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

prune171.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

3 alts after pruning (3 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)))

rewrite14.0ms

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))
6.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
80.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
63.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (100.0ms)

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

prune304.0ms

Filtered

92 candidates to 74 candidates (80.4%)

Pruning

3 alts after pruning (2 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)) (cos y))
0.0b	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
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)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

198×	`sqrt-prod`
172×	`times-frac`
171×	`*-un-lft-identity`
133×	`add-sqr-sqrt`
119×	`add-cube-cbrt`
92×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
26×	`distribute-lft-out`
14×	`associate-/l*`
12×	`prod-exp` `associate-/r*` `cbrt-unprod`
11×	`pow1`
8×	`cbrt-undiv` `div-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-div` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
2×	`sqrt-undiv` `frac-2neg` `flip3-+` `clear-num` `*-commutative` `flip-+`
1×	`frac-times` `associate-*r/`

Counts

4 → 288

Calls

4 calls:

16.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
9.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
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)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y))
117.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
124.0ms	(/ (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)))

simplify92.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	616	4377
1	2988	3873
2	5001	3671

prune748.0ms

Filtered

300 candidates to 168 candidates (56.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- x)) (exp (- x)))
0.0b	(pow (exp (- x)) 3)
0.0b	(pow (exp x) 3)
17.1b	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

89×	`exp-prod`
66×	`exp-neg`
50×	`*-un-lft-identity`
45×	`neg-sub0` `exp-diff`
42×	`associate-*r/`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`distribute-rgt-neg-in` `frac-sub`
23×	`distribute-lft-neg-in`
21×	`un-div-inv`
16×	`frac-times`
15×	`pow-pow` `pow-prod-down` `sub-div`
14×	`associate-*l/`
13×	`pow1` `pow-sqr` `pow-prod-up`
9×	`neg-mul-1`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `fma-neg` `diff-log` `prod-diff` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 198

Calls

4 calls:

15.0ms	(* (exp (- x)) (exp (- x)))
5.0ms	(pow (exp (- x)) 3)
4.0ms	(pow (exp x) 3)
18.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (exp (- x)) (exp (- x)))
30.0ms	(pow (exp (- x)) 3)
23.0ms	(pow (exp x) 3)
54.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

simplify156.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	657	967
1	2968	777
2	5001	753

prune704.0ms

Filtered

210 candidates to 101 candidates (48.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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	12	10
1	12	10

end0.0ms

sample2.3s

Algorithm: halfpoints