Details

sample69.0ms

Algorithm

intervals

Results

47.0ms

626×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

82.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
32.0ms	(* (* a a) (+ 1.0 a))
27.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series274.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
47.0ms	(* (* a a) (+ 1.0 a))
53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
107.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify111.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	658	794
1	3720	707
2	5001	707

prune601.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (+ (* a a) (* b b)) 2.0)
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 62

Calls

4 calls:

12.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series574.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(pow (+ (* a a) (* b b)) 2.0)
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	153	594
1	516	556
2	1938	550
3	5001	544

prune984.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.0b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

10.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series814.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
359.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	156	678
1	373	630
2	1313	614
3	5001	614

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
98.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

series618.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
158.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

simplify110.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	111	697
1	230	627
2	777	515
3	3253	509
4	5001	509

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes693.0ms

Accuracy

0% (0.1b 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	27	15
1	27	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.6s

20662×

body

valid