Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 2.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

14.0ms	(* 1.1283791670955126 (exp z))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
64.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify166.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	470
1	994	433
2	4728	432
3	5001	432

prune183.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

11.0ms	(* 1.1283791670955126 (exp z))
24.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
28.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series178.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* 1.1283791670955126 (exp z))
48.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
49.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	521	1391
1	2422	1259
2	5001	1188

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp`
3×	`cbrt-undiv` `associate-r/` `associate-l*` `associate-/r/` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 106

Calls

4 calls:

15.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
10.0ms	(/ (exp z) y)
32.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
17.0ms	(* 1.1283791670955126 (/ (exp z) y))

series142.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
15.0ms	(/ (exp z) y)
59.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
29.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	411	796
1	1885	694
2	5002	690

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(/ 1 (- (* (* 1.1283791670955126 (exp z)) 1) (* y x)))
0.4b	(- (* (* 1.1283791670955126 (exp z)) 1) (* y x))
5.6b	(* (/ 1 (- (* (* 1.1283791670955126 (exp z)) 1) (* y x))) (* y 1))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
20×	`add-cbrt-cube`
18×	`times-frac` `associate-l`
12×	`pow1`
8×	`1-exp` `div-exp`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`rec-exp` `associate-r` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l`
2×	`*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*l/` `clear-num` `inv-pow` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

12.0ms	(* 1.1283791670955126 (exp z))
66.0ms	(/ 1 (- (* (* 1.1283791670955126 (exp z)) 1) (* y x)))
33.0ms	(- (* (* 1.1283791670955126 (exp z)) 1) (* y x))
149.0ms	(* (/ 1 (- (* (* 1.1283791670955126 (exp z)) 1) (* y x))) (* y 1))

series185.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(/ 1 (- (* (* 1.1283791670955126 (exp z)) 1) (* y x)))
47.0ms	(- (* (* 1.1283791670955126 (exp z)) 1) (* y x))
68.0ms	(* (/ 1 (- (* (* 1.1283791670955126 (exp z)) 1) (* y x))) (* y 1))

simplify58.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	488	985
1	2128	772
2	5001	750

prune264.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	18	7
2	18	7

end0.0ms

sample466.0ms

Algorithm

intervals

Results

235.0ms

8001×

body

valid