Details

sample9.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune2.0ms

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	(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ x (/ 1.0 3.0))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(+ x (/ 1.0 3.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	77	55
1	201	50
2	475	50
3	1282	50
4	3893	50
5	5002	50

prune27.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
0.0b	(+ x (/ 1.0 3.0))
0.1b	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
30×	`sqrt-prod`
26×	`add-sqr-sqrt`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

11.0ms	(sqrt (+ x (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
6.0ms	(+ x (/ 1.0 3.0))
53.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ x (/ 1.0 3.0)))
20.0ms	(+ x (/ 1.0 3.0))
17.0ms	(+ x (/ 1.0 3.0))
19.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	224	578
1	923	518
2	5002	502

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.0b	(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.0b	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
0.2b	(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

121×	`sqrt-prod`
74×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`sqrt-div`
29×	`unpow-prod-down` `cube-prod`
26×	`associate-r`
25×	`add-cube-cbrt`
24×	`unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log` `associate-l`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 169

Calls

4 calls:

12.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
12.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
89.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
17.0ms	(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series357.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
95.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
19.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
148.0ms	(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify80.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	519	1994
1	2254	1455
2	5001	1301

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.0b	(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.0b	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (pow (+ x (/ 1.0 3.0)) 1/4) 3))
0.2b	(pow (pow (+ x (/ 1.0 3.0)) 1/4) 3)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
47×	`unpow-prod-down` `sqrt-prod`
33×	`*-un-lft-identity`
25×	`cube-prod`
24×	`unswap-sqr`
22×	`associate-r`
19×	`add-cube-cbrt`
15×	`sqr-pow`
14×	`add-exp-log`
10×	`associate-l`
8×	`sqrt-div` `pow-exp`
7×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1` `add-log-exp`
5×	`prod-exp`
4×	`pow-to-exp` `sqrt-pow1`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `rem-sqrt-square` `pow1/2` `unpow3` `associate-*l/`
1×	`+-commutative` `pow-pow` `sum-log` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 141

Calls

4 calls:

6.0ms	(+ x (/ 1.0 3.0))
12.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
126.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (pow (+ x (/ 1.0 3.0)) 1/4) 3))
25.0ms	(pow (pow (+ x (/ 1.0 3.0)) 1/4) 3)

series269.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ x (/ 1.0 3.0))
89.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
18.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (pow (+ x (/ 1.0 3.0)) 1/4) 3))
144.0ms	(pow (pow (+ x (/ 1.0 3.0)) 1/4) 3)

simplify76.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	519	1471
1	2087	1417
2	5001	1399

prune287.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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	6	2
1	6	2

end0.0ms

sample190.0ms

Algorithm

intervals

Results

105.0ms

8000×

body

valid