Details

sample108.0ms

Algorithm: halfpoints

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)))

rewrite33.0ms

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:

26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms	(+ (exp x) (exp (- x)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))

simplify163.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

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

prune174.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite13.0ms

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:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
8.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp x))
17.0ms	(sqrt (exp x))
76.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
64.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

simplify106.0ms

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

prune424.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
19×	`associate-l`
18×	`cbrt-prod`
17×	`add-cube-cbrt`
13×	`times-frac`
10×	`add-log-exp`
9×	`fma-def`
6×	`pow1` `add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `sum-log` `flip-+` `unswap-sqr`
1×	`cbrt-div` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 90

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
6.0ms	(+ (exp x) (exp (- x)))
6.0ms	(+ (exp x) (exp (- x)))
27.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))

series221.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
26.0ms	(+ (exp x) (exp (- x)))
22.0ms	(+ (exp x) (exp (- x)))
152.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))

simplify125.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	276	763
1	856	684
2	3696	675
3	5001	672

prune393.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (sqrt (exp x)))
0.0b	(cbrt (sqrt (exp x)))
0.0b	(cbrt (sqrt (exp x)))
0.0b	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt (sqrt (exp x)))
1.0ms	(cbrt (sqrt (exp x)))
1.0ms	(cbrt (sqrt (exp x)))
10.0ms	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (sqrt (exp x)))
77.0ms	(cbrt (sqrt (exp x)))
76.0ms	(cbrt (sqrt (exp x)))
79.0ms	(* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	132	893
1	420	836
2	1869	778
3	5002	750

prune353.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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

sample2.4s

Algorithm: halfpoints