Details

sample10.0ms

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))

rewrite11.0ms

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:

10.0ms

(+ x (/ 1.0 3.0))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(+ x (/ 1.0 3.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

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

prune24.0ms

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))))

rewrite116.0ms

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:

15.0ms	(sqrt (+ x (/ 1.0 3.0)))
10.0ms	(+ x (/ 1.0 3.0))
10.0ms	(+ x (/ 1.0 3.0))
78.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ x (/ 1.0 3.0)))
17.0ms	(+ x (/ 1.0 3.0))
25.0ms	(+ x (/ 1.0 3.0))
19.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (35.0ms)

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

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))))
0.1b	(* (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)

rewrite187.0ms

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:

18.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
16.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
125.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
21.0ms	(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series356.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
86.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
24.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3))
149.0ms	(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify95.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (71.0ms)

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

prune350.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.0b	(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.1b	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))
0.1b	(pow (sqrt (+ x (/ 1.0 3.0))) 3/2)

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-prod`
38×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`unpow-prod-down`
15×	`add-cube-cbrt`
12×	`unswap-sqr`
11×	`associate-r`
10×	`add-exp-log` `associate-l`
9×	`pow1`
8×	`sqrt-div`
6×	`sqrt-pow1` `add-cbrt-cube` `add-log-exp`
5×	`distribute-lft-out` `sqr-pow`
4×	`pow1/2`
3×	`pow-unpow` `pow-pow` `flip3-+` `prod-exp` `flip-+`
2×	`pow-to-exp` `rem-sqrt-square` `associate-*l/` `pow-exp` `pow-prod-up`
1×	`+-commutative` `sum-log` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

10.0ms	(+ x (/ 1.0 3.0))
17.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
119.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))
18.0ms	(pow (sqrt (+ x (/ 1.0 3.0))) 3/2)

series301.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ x (/ 1.0 3.0))
95.0ms	(sqrt (sqrt (+ x (/ 1.0 3.0))))
18.0ms	(* (sqrt (sqrt (+ x (/ 1.0 3.0)))) (pow (sqrt (+ x (/ 1.0 3.0))) 3/2))
171.0ms	(pow (sqrt (+ x (/ 1.0 3.0))) 3/2)

simplify59.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	434	1058
1	1538	988
2	5001	870

prune257.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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

sample220.0ms

Algorithm

intervals

Results

107.0ms

8000×

body

valid