Details

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

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	(+ 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))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ x (/ 1.0 3.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

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

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

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))))

rewrite77.0ms

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))
52.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (+ x (/ 1.0 3.0)))
22.0ms	(+ x (/ 1.0 3.0))
17.0ms	(+ x (/ 1.0 3.0))
18.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	224	573
1	883	518
2	5001	502

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.5b	(pow (+ x (/ 1.0 3.0)) 3)
19.9b	(cbrt (pow (+ x (/ 1.0 3.0)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
5×	`distribute-lft-out` `add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 64

Calls

3 calls:

7.0ms	(+ x (/ 1.0 3.0))
11.0ms	(pow (+ x (/ 1.0 3.0)) 3)
15.0ms	(cbrt (pow (+ x (/ 1.0 3.0)) 3))

series64.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ x (/ 1.0 3.0))
26.0ms	(pow (+ x (/ 1.0 3.0)) 3)
17.0ms	(cbrt (pow (+ x (/ 1.0 3.0)) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	204	326
1	877	311
2	5001	303

prune88.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

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

sample309.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid