Details

sample67.0ms

Algorithm

intervals

Results

52.0ms

639×

body

valid

simplify53.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

26.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series207.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms	(* 4.0 (* b b))
111.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify117.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	261	370
1	1003	336
2	3908	326
3	5001	322

prune180.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b b (* 2 (pow a 2)))
0.0b	(* 2 (pow a 2))
0.1b	(fma b (* b (fma b b (* 2 (pow a 2)))) (pow a 4))
0.2b	(* b (fma b b (* 2 (pow a 2))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`pow1` `associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-prod-down` `pow-exp`

Counts

4 → 71

Calls

4 calls:

0.0ms	(fma b b (* 2 (pow a 2)))
9.0ms	(* 2 (pow a 2))
0.0ms	(fma b (* b (fma b b (* 2 (pow a 2)))) (pow a 4))
3.0ms	(* b (fma b b (* 2 (pow a 2))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(fma b b (* 2 (pow a 2)))
25.0ms	(* 2 (pow a 2))
83.0ms	(fma b (* b (fma b b (* 2 (pow a 2)))) (pow a 4))
59.0ms	(* b (fma b b (* 2 (pow a 2))))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	234	419
1	1028	364
2	5001	364

prune238.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) (* 4.0 (* b b)))
0.0b	(* 2.0 (pow a 2))
0.0b	(* 4.0 (* b b))
1.8b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

2.0ms	(+ (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) (* 4.0 (* b b)))
5.0ms	(* 2.0 (pow a 2))
6.0ms	(* 4.0 (* b b))
0.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series197.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) (* 4.0 (* b b)))
26.0ms	(* 2.0 (pow a 2))
26.0ms	(* 4.0 (* b b))
77.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	291	467
1	1199	418
2	5002	407

prune257.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

20597×

body

valid