Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	4
1	14	4
2	14	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize17.0ms

Local error

Found 1 expressions with local error:

7.8b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

14.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	203	422
1	616	404
2	1814	404
3	5001	404

prune116.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- 1.0 (/ y z)))
7.4b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-r`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 97

Calls

2 calls:

8.0ms	(/ 1 (- 1.0 (/ y z)))
16.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series98.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 1 (- 1.0 (/ y z)))
55.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	343	664
1	1615	588
2	5001	538

prune181.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.4b

localize11.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
8.1b	(cbrt (- 1.0 (/ y z)))
8.1b	(cbrt (- 1.0 (/ y z)))
8.1b	(cbrt (- 1.0 (/ y z)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

190×	`times-frac`
165×	`add-sqr-sqrt`
141×	`associate-r`
116×	`cbrt-div`
111×	`cbrt-prod`
97×	`*-un-lft-identity`
74×	`associate-/r/`
58×	`flip3--` `flip--`
57×	`add-cube-cbrt`
38×	`frac-times`
36×	`difference-of-squares`
32×	`add-exp-log`
20×	`associate-*l/`
19×	`associate-*r/`
18×	`distribute-lft-out--`
13×	`add-cbrt-cube`
11×	`div-exp` `prod-exp`
10×	`div-inv`
7×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`associate-l` `add-log-exp`
3×	`pow1/3`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 226

Calls

4 calls:

65.0ms	(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
6.0ms	(cbrt (- 1.0 (/ y z)))
6.0ms	(cbrt (- 1.0 (/ y z)))
6.0ms	(cbrt (- 1.0 (/ y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ x y) (/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (cbrt (- 1.0 (/ y z)))))
299.0ms	(cbrt (- 1.0 (/ y z)))
515.0ms	(cbrt (- 1.0 (/ y z)))
315.0ms	(cbrt (- 1.0 (/ y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1139	3403
1	5002	3073

prune771.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (+ x y) (- 1.0 (/ y z))))
7.8b	(/ (+ x y) (- 1.0 (/ y z)))
7.8b	(/ (+ x y) (- 1.0 (/ y z)))
7.8b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
143×	`*-un-lft-identity`
115×	`times-frac`
51×	`add-cube-cbrt`
38×	`difference-of-squares`
30×	`cbrt-prod`
27×	`distribute-lft-out`
19×	`distribute-lft-out--`
18×	`associate-/r*`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`associate-/l/`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
1×	`cbrt-div` `pow1/3`

Counts

4 → 189

Calls

4 calls:

9.0ms	(cbrt (/ (+ x y) (- 1.0 (/ y z))))
11.0ms	(/ (+ x y) (- 1.0 (/ y z)))
11.0ms	(/ (+ x y) (- 1.0 (/ y z)))
10.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt (/ (+ x y) (- 1.0 (/ y z))))
50.0ms	(/ (+ x y) (- 1.0 (/ y z)))
56.0ms	(/ (+ x y) (- 1.0 (/ y z)))
52.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	376	1772
1	1075	1707
2	4174	1703
3	5002	1694

prune493.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.4b

regimes161.0ms

Accuracy

71% (0.5b remaining)

Error of 6.2b against oracle of 5.7b and baseline of 7.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	32
1	31	32

end0.0ms

sample341.0ms

Algorithm

intervals

Results

189.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid