Details

sample50.0ms

Algorithm

intervals

Results

33.0ms

690×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.0b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (+ 3.0 a))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`add-cube-cbrt`
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` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

13.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series253.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
55.0ms	(* (* a a) (- 1.0 a))
104.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify95.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	641	720
1	3571	649
2	5001	649

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
10.2b	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
10.2b	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
10.2b	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*r/`
18×	`cbrt-div`
12×	`frac-add`
10×	`*-un-lft-identity` `flip3-+` `flip-+`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`flip3--` `flip--`
4×	`associate-r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
10.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
10.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* b b) (+ 3.0 a))
139.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
137.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
141.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))

simplify66.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	448	1230
1	2137	1165
2	5003	1156

prune402.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series471.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	262	598
1	1088	544
2	5002	538

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

10.2b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.2b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

9.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series594.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
146.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify138.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	172	764
1	365	712
2	1183	704
3	4879	694
4	5001	694

prune382.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	33
1	29	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

20581×

body

valid