Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

672×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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	(pow (+ (* a a) (* b b)) 2.0)
0.8b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite36.0ms

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:

12.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms	(* (* a a) (+ 1.0 a))
7.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
48.0ms	(* (* a a) (+ 1.0 a))
98.0ms	(pow (+ (* a a) (* b b)) 2.0)
47.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify97.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (17.0ms)

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

prune266.0ms

Filtered

104 candidates to 69 candidates (66.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (- 1.0 (* 3.0 a)))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series496.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	266	651
1	1020	585
2	5001	579

prune299.0ms

Filtered

82 candidates to 64 candidates (78.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

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:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series575.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	102	632
1	220	588
2	765	580
3	3241	572
4	5001	572

prune349.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

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:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series586.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	102	632
1	220	588
2	765	580
3	3241	572
4	5001	572

prune423.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b 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

sample1.6s

Algorithm

intervals

Results

1.3s

20591×

body

valid