Details

sample13.0ms

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))

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

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.0b	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
16.8b	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
30×	`times-frac`
27×	`*-un-lft-identity`
20×	`difference-of-squares`
15×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--` `associate-/l*`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 79

Calls

3 calls:

6.0ms	(- x (/ 1.0 3.0))
3.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
19.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- x (/ 1.0 3.0))
46.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
100.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	326	889
1	1404	804
2	5002	791

prune180.0ms

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	(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.1b	(* (- x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
0.1b	(* (* x x) (* x x))
24.8b	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (- x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
23×	`add-exp-log` `add-cbrt-cube`
22×	`pow-sqr`
18×	`pow-plus`
15×	`add-sqr-sqrt`
13×	`pow2`
10×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`frac-times` `add-cube-cbrt` `associate-/r/`
7×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
6×	`add-log-exp`
5×	`times-frac`
4×	`associate-r/` `associate-r` `associate-l/` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-sub` `swap-sqr` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out--`

Counts

4 → 139

Calls

4 calls:

3.0ms	(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
33.0ms	(* (- x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
12.0ms	(* (* x x) (* x x))
49.0ms	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (- x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
34.0ms	(* (- x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
35.0ms	(* (* x x) (* x x))
202.0ms	(/ (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (* (- x (/ 1.0 3.0)) (+ (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	597	1517
1	3692	1193
2	5002	1187

prune269.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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

sample320.0ms

Algorithm

intervals

Results

231.0ms

8000×

body

valid