Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

326×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	44	4
2	114	4
3	220	4
4	354	4
5	550	4
6	1669	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.7b	(/ (* x (+ (- y z) 1.0)) z)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

70.0ms	(* x (+ (- y z) 1.0))
38.0ms	(/ (* x (+ (- y z) 1.0)) z)

series63.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (- y z) 1.0))
34.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify34.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	254	285
1	1225	238
2	5001	238

prune89.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
4.0b	(/ x (/ z (+ (- y z) 1.0)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

36.0ms	(/ z (+ (- y z) 1.0))
39.0ms	(/ x (/ z (+ (- y z) 1.0)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ z (+ (- y z) 1.0))
38.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	455	1177
1	2110	1129
2	5002	1126

prune232.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
5.2b	(/ (* x y) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `diff-log` `div-exp` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `associate-r/` `frac-add` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 49

Calls

3 calls:

14.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
81.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
9.0ms	(/ (* x y) z)

series89.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
33.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
17.0ms	(/ (* x y) z)

simplify32.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	254	367
1	1124	344
2	5002	325

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ z (* x y))) (* 1.0 (/ x z)))
0.0b	(- (+ (/ 1 (/ z (* x y))) (* 1.0 (/ x z))) x)
0.4b	(/ 1 (/ z (* x y)))
5.2b	(/ z (* x y))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
30×	`add-exp-log`
24×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`add-cbrt-cube`
14×	`div-exp`
11×	`add-log-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`prod-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `flip3--` `pow-flip` `flip3-+` `associate-*r/` `frac-add` `associate--l+` `associate-/r/` `flip--` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

33.0ms	(+ (/ 1 (/ z (* x y))) (* 1.0 (/ x z)))
226.0ms	(- (+ (/ 1 (/ z (* x y))) (* 1.0 (/ x z))) x)
25.0ms	(/ 1 (/ z (* x y)))
13.0ms	(/ z (* x y))

series112.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (/ 1 (/ z (* x y))) (* 1.0 (/ x z)))
33.0ms	(- (+ (/ 1 (/ z (* x y))) (* 1.0 (/ x z))) x)
19.0ms	(/ 1 (/ z (* x y)))
18.0ms	(/ z (* x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	417	726
1	2072	615
2	5001	607

prune174.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

88.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.4b

bsearch50.0ms

Steps

Iters	Range		Point
7	9.593076442092601e-62	3.941738287388325e-60	2.201016357696082e-60
7	-9.022777940030645e+106	-6.429426595456313e+104	-8.180654286668062e+104

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	12
1	27	12

end0.0ms

sample515.0ms

Algorithm

intervals

Results

229.0ms

10028×

body

valid