Details

sample19.0ms

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: 3.2b

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))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite90.0ms

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:

40.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
13.0ms	(* 1.1283791670955126 (exp z))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (33.0ms)

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: 0.0b

localize6.0ms

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:

11.0ms

(- x (/ 1 x))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- x (/ 1 x))

simplify82.0ms

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

prune32.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))
2.9b	(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 247

Calls

4 calls:

12.0ms	(* 1.1283791670955126 (exp z))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
32.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))
26.0ms	(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
93.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y))
89.0ms	(/ (sqrt y) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (sqrt y)))

simplify117.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	861	3804
1	4457	3459
2	5001	3446

prune515.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 x))
0.1b	(/ (/ 1 x) x)
31.3b	(/ (- (* x x) (/ (/ 1 x) x)) (+ x (/ 1 x)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

145×	`times-frac`
108×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
60×	`add-cube-cbrt`
30×	`difference-of-squares`
22×	`div-inv`
21×	`associate-/l*`
20×	`distribute-lft-out`
14×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-/r*`
7×	`div-exp`
6×	`pow1`
5×	`add-log-exp`
4×	`cbrt-undiv`
3×	`associate-/l/`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `pow-div`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `1-exp` `div-sub` `sum-log` `flip--` `inv-pow`

Counts

3 → 157

Calls

3 calls:

10.0ms	(+ x (/ 1 x))
13.0ms	(/ (/ 1 x) x)
81.0ms	(/ (- (* x x) (/ (/ 1 x) x)) (+ x (/ 1 x)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ 1 x))
17.0ms	(/ (/ 1 x) x)
100.0ms	(/ (- (* x x) (/ (/ 1 x) x)) (+ x (/ 1 x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	589	1387
1	2787	1173
2	5002	1168

prune226.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

67.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample482.0ms

Algorithm

intervals

Results

246.0ms

8000×

body

valid