Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9

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	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite22.0ms

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-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 2.30753 (* x 0.27061))
32.0ms	(+ 0.99229 (* x 0.04481))
68.0ms	(* x (+ 0.99229 (* x 0.04481)))
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	622
1	1709	574
2	5001	574

prune200.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.7b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.7b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
30×	`sqrt-prod`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `sqrt-div` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `add-log-exp`
3×	`pow-flip` `sqrt-pow1` `pow1/2` `div-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `div-inv` `associate-/l/`
1×	`rec-exp` `1-exp` `inv-pow`

Counts

4 → 120

Calls

4 calls:

9.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
103.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
79.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
78.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	552	1563
1	2242	1445
2	5001	1418

prune370.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

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	23	9
1	23	9

end0.0ms

sample360.0ms

Algorithm

intervals

Results

270.0ms

8000×

body

valid