Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

624×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

31.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(+ (* a a) (* b b))
6.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series226.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
27.0ms	(+ (* a a) (* b b))
25.0ms	(* 4.0 (* b b))
107.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	339	438
1	1458	396
2	5001	385

prune252.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2))) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-exp-log`
18×	`unpow-prod-down`
12×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
10×	`associate-l` `add-cbrt-cube` `unswap-sqr` `sqr-pow`
8×	`pow1` `associate-r`
7×	`swap-sqr`
6×	`pow-to-exp` `pow-exp`
5×	`add-log-exp`
4×	`pow-prod-down` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `pow2` `fma-def` `flip3-+` `sum-log` `pow-sqr` `pow-prod-up` `flip-+`

Counts

3 → 89

Calls

3 calls:

4.0ms	(+ (* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2))) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
9.0ms	(* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2))) (* 4.0 (* b b)))
25.0ms	(* 4.0 (* b b))
165.0ms	(* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2)))

simplify54.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	337	888
1	1440	782
2	5002	736

prune212.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (pow a 2))
0.0b	(- (+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4)) 1.0)
0.0b	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
1.4b	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`prod-diff`
11×	`add-log-exp`
9×	`add-exp-log`
8×	`associate-r`
6×	`add-cbrt-cube` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `fma-neg` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `fma-udef` `distribute-lft-out--` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

6.0ms	(* 2 (pow a 2))
48.0ms	(- (+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4)) 1.0)
5.0ms	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
0.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

series205.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 2 (pow a 2))
51.0ms	(- (+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4)) 1.0)
54.0ms	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
74.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	322	886
1	1452	748
2	5001	748

prune269.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

748.0ms

20551×

body

valid