Details

sample37.0ms

Algorithm

intervals

Results

23.0ms

622×

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0b	(+ (* a a) (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `pow-exp` `sum-log` `flip-+` `fma-udef` `sqr-pow`

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
3.0ms	(+ (* a a) (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series201.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
26.0ms	(+ (* a a) (* b b))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	226	319
1	972	282
2	3693	275
3	5001	274

prune156.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

0.0ms	(hypot a b)
1.0ms	(pow (hypot a b) 2.0)
1.0ms	(pow (hypot a b) 2.0)
9.0ms	(* (pow (hypot a b) 2.0) (pow (hypot a b) 2.0))

series438.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(hypot a b)
118.0ms	(pow (hypot a b) 2.0)
114.0ms	(pow (hypot a b) 2.0)
163.0ms	(* (pow (hypot a b) 2.0) (pow (hypot a b) 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	203	545
1	889	501
2	5002	490

prune303.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot a b)
0.0b	(fma (* 4.0 b) b (- (* 1 (pow (hypot a b) (* 2 2.0))) 1.0))
0.0b	(pow (hypot a b) (* 2 2.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`hypot-udef`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqrt-pow2` `fma-udef` `sqr-pow`

Counts

3 → 38

Calls

3 calls:

0.0ms	(hypot a b)
0.0ms	(fma (* 4.0 b) b (- (* 1 (pow (hypot a b) (* 2 2.0))) 1.0))
1.0ms	(pow (hypot a b) (* 2 2.0))

series263.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(hypot a b)
94.0ms	(fma (* 4.0 b) b (- (* 1 (pow (hypot a b) (* 2 2.0))) 1.0))
124.0ms	(pow (hypot a b) (* 2 2.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	146	241
1	573	218
2	2474	211
3	5001	211

prune153.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot a b)
0.0b	(hypot a b)
0.0b	(pow (pow (hypot a b) (/ 2.0 2)) 3)
0.2b	(* (pow (pow (hypot a b) (/ 2.0 2)) 3) (pow (hypot a b) (/ 2.0 2)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`unpow-prod-down`
47×	`add-sqr-sqrt`
25×	`add-exp-log`
24×	`unswap-sqr` `sqr-pow`
23×	`cube-prod`
21×	`pow-exp`
20×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`prod-exp`
13×	`pow-to-exp`
7×	`associate-r` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `hypot-udef` `unpow3`
1×	`pow-pow` `pow-plus` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 133

Calls

4 calls:

0.0ms	(hypot a b)
0.0ms	(hypot a b)
3.0ms	(pow (pow (hypot a b) (/ 2.0 2)) 3)
18.0ms	(* (pow (pow (hypot a b) (/ 2.0 2)) 3) (pow (hypot a b) (/ 2.0 2)))

series593.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(hypot a b)
44.0ms	(hypot a b)
337.0ms	(pow (pow (hypot a b) (/ 2.0 2)) 3)
164.0ms	(* (pow (pow (hypot a b) (/ 2.0 2)) 3) (pow (hypot a b) (/ 2.0 2)))

simplify75.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	366	1150
1	1770	1042
2	5001	986

prune353.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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	19	7
1	21	7
2	21	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

773.0ms

20276×

body

valid