Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

37.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
12.0ms	(* 1.1283791670955126 (exp z))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
16.0ms	(* 1.1283791670955126 (exp z))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
4.5b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.5b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
15.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
17.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
93.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
93.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	185	522
1	549	484
2	1899	478
3	5001	472

prune188.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

10.0ms

(- x (/ 1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (/ 1 x))

simplify83.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	82	90
1	229	85
2	1594	81
3	5001	81

prune31.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

68.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.8b

bsearch44.0ms

Steps

Iters	Range		Point
10	-2.3512945738971205e+25	-269079160.0667242	-959124237.3290532

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample506.0ms

Algorithm

intervals

Results

263.0ms

8000×

body

valid