Details

sample15.0ms

Algorithm

intervals

Results

3.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

32.0ms

(* (+ a b) (+ a b))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(* (+ a b) (+ a b))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	189	213
1	902	188
2	5001	170

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(* b (+ a b))
0.0b	(+ (* a (+ a b)) (* b (+ a b)))
0.0b	(* a (+ a b))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `sum-log`

Counts

3 → 66

Calls

3 calls:

20.0ms	(* b (+ a b))
13.0ms	(+ (* a (+ a b)) (* b (+ a b)))
19.0ms	(* a (+ a b))

series70.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* b (+ a b))
21.0ms	(+ (* a (+ a b)) (* b (+ a b)))
25.0ms	(* a (+ a b))

simplify61.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	349	386
1	1962	333
2	5002	331

prune127.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* b (+ a (+ a b)))
0.0b	(+ a (+ a b))
0.0b	(+ (* a a) (* b (+ a (+ a b))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`distribute-lft-out`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-+r+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

52.0ms	(* b (+ a (+ a b)))
15.0ms	(+ a (+ a b))
11.0ms	(+ (* a a) (* b (+ a (+ a b))))

series82.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* b (+ a (+ a b)))
21.0ms	(+ a (+ a b))
22.0ms	(+ (* a a) (* b (+ a (+ a b))))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	252	301
1	1187	261
2	5001	244

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* a b))
0.0b	(+ (* a a) (- (* b b) (* a b)))
0.2b	(* (+ a b) (+ (pow a 3) (pow b 3)))
0.5b	(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`frac-times` `add-cube-cbrt` `associate-/l/`
6×	`pow1` `distribute-lft-out`
4×	`unpow-prod-down` `cube-prod` `associate-r/` `associate-l` `associate-l/`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `associate-+r+` `diff-log` `div-exp` `prod-exp` `sum-log` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

8.0ms	(- (* b b) (* a b))
16.0ms	(+ (* a a) (- (* b b) (* a b)))
82.0ms	(* (+ a b) (+ (pow a 3) (pow b 3)))
62.0ms	(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* b b) (* a b))
20.0ms	(+ (* a a) (- (* b b) (* a b)))
46.0ms	(* (+ a b) (+ (pow a 3) (pow b 3)))
55.0ms	(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify86.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	521	953
1	3046	824
2	5002	818

prune295.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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	11	5
1	11	5

end0.0ms

sample358.0ms

Algorithm

intervals

Results

101.0ms	8000×	pre	80	true
94.0ms	8000×	body	80	valid