Details

sample63.0ms

Algorithm

intervals

Results

48.0ms

620×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	26	8
1	51	8
2	88	7
3	153	7
4	357	7
5	1572	7
6	5002	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`fma-def` `add-log-exp`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `sum-log` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

3.0ms	(+ (* a a) (* b b))
28.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series231.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* a a) (* b b))
69.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
27.0ms	(* 4.0 (* b b))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	339	438
1	1458	396
2	5002	385

prune220.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (hypot a b) 2.0)
0.0b	(pow (hypot a b) 2.0)
0.0b	(* 4.0 (* b b))
0.3b	(* (pow (hypot a b) 2.0) (pow (hypot a b) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`unpow-prod-down`
23×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`prod-exp` `sqr-pow`
11×	`pow1` `add-cbrt-cube`
10×	`associate-l` `unswap-sqr`
8×	`pow-to-exp` `associate-r` `pow-exp`
7×	`swap-sqr`
6×	`pow-unpow`
4×	`expm1-log1p-u` `pow-prod-down` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`hypot-udef` `pow-pow` `*-commutative` `sqrt-pow2`
1×	`pow2` `pow-sqr` `pow-prod-up`

Counts

4 → 115

Calls

4 calls:

1.0ms	(pow (hypot a b) 2.0)
1.0ms	(pow (hypot a b) 2.0)
6.0ms	(* 4.0 (* b b))
9.0ms	(* (pow (hypot a b) 2.0) (pow (hypot a b) 2.0))

series440.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(pow (hypot a b) 2.0)
119.0ms	(pow (hypot a b) 2.0)
31.0ms	(* 4.0 (* b b))
173.0ms	(* (pow (hypot a b) 2.0) (pow (hypot a b) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	273	599
1	1131	543
2	5001	532

prune294.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot a b)
0.0b	(+ (* (pow 1 2.0) (pow (hypot a b) (* 2 2.0))) (* 4.0 (* b b)))
0.0b	(pow (hypot a b) (* 2 2.0))
0.0b	(* 4.0 (* b b))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`unpow-prod-down` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`hypot-udef`
1×	`+-commutative` `pow-to-exp` `pow-unpow` `pow-pow` `fma-def` `flip3-+` `associate-r` `pow-exp` `sum-log` `*-commutative` `sqrt-pow2` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

0.0ms	(hypot a b)
4.0ms	(+ (* (pow 1 2.0) (pow (hypot a b) (* 2 2.0))) (* 4.0 (* b b)))
1.0ms	(pow (hypot a b) (* 2 2.0))
7.0ms	(* 4.0 (* b b))

series288.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(hypot a b)
91.0ms	(+ (* (pow 1 2.0) (pow (hypot a b) (* 2 2.0))) (* 4.0 (* b b)))
123.0ms	(pow (hypot a b) (* 2 2.0))
30.0ms	(* 4.0 (* b b))

simplify48.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	292	392
1	1276	343
2	5002	329

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
0.0b	(* 2 (pow a 2))
1.8b	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`add-exp-log` `associate-r`
7×	`add-cube-cbrt`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-l` `prod-exp` `log1p-expm1-u`
2×	`fma-udef` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

3 → 57

Calls

3 calls:

5.0ms	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
6.0ms	(* 2 (pow a 2))
0.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

series152.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
24.0ms	(* 2 (pow a 2))
74.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify35.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	215	372
1	947	344
2	5002	343

prune355.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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	22	9
1	22	9

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.6s

20512×

body

valid