Details

sample37.0ms

Algorithm

intervals

Results

23.0ms

619×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	41	8
2	67	8
3	119	8
4	309	8
5	1494	8
6	5001	8

prune2.0ms

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)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
4.0ms	(+ (* a a) (* b b))
5.0ms	(* 4.0 (* b b))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series222.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms	(+ (* a a) (* b b))
29.0ms	(* 4.0 (* b b))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	322	413
1	1353	379
2	5001	379

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.5b	(* (pow a 2) (pow b 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
28×	`prod-exp`
24×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`*-un-lft-identity` `add-cbrt-cube` `unpow2` `sqr-pow`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
5×	`pow1`
4×	`cbrt-unprod`
3×	`sum-log`
2×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 90

Calls

3 calls:

11.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
8.0ms	(* (pow a 2) (pow b 2))

series118.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
34.0ms	(* 2 (* (pow a 2) (pow b 2)))
31.0ms	(* (pow a 2) (pow b 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	330	587
1	1424	506
2	5001	495

prune191.0ms

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	(* 4.0 (* b b))
0.2b	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
26.7b	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down`
20×	`cbrt-prod`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`cube-prod`
12×	`add-exp-log`
10×	`pow1` `add-cbrt-cube`
7×	`sqr-pow`
6×	`pow-unpow`
5×	`pow-exp`
4×	`add-log-exp`
3×	`pow-to-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `pow-pow` `unpow3`
1×	`pow1/3` `associate-r` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

5.0ms	(* 4.0 (* b b))
6.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

series394.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 4.0 (* b b))
116.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
103.0ms	(pow (+ (* a a) (* b b)) 2.0)
147.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	352	723
1	1324	703
2	5001	697

prune221.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

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	15	8
1	15	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

769.0ms

20568×

body

valid