Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
12.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

5.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(+ 2.30753 (* x 0.27061))
18.0ms	(* (+ 0.99229 (* x 0.04481)) x)
24.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 0.99229 (* x 0.04481))
35.0ms	(+ 2.30753 (* x 0.27061))
66.0ms	(* (+ 0.99229 (* x 0.04481)) x)
57.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	380	619
1	1452	570
2	5001	568

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.2b	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
12.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`flip3-+` `associate-/r*` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 264

Calls

4 calls:

25.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
44.0ms	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
60.0ms	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
73.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
79.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify116.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	923	6227
1	3468	5694
2	5001	5608

prune552.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

12.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.4b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
12.4b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `cbrt-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

5.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
76.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
143.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
137.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	323	806
1	1038	768
2	4708	700
3	5002	698

prune366.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

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	20	8
1	20	8

end0.0ms

sample371.0ms

Algorithm

intervals

Results

252.0ms

8000×

body

valid