Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

320×

body

valid

simplify69.0ms

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: 9.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.0b	(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

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:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ (- y z) 1.0))
42.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

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

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.7b	(/ x (/ z (+ (- y z) 1.0)))

rewrite25.0ms

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:

7.0ms	(/ z (+ (- y z) 1.0))
11.0ms	(/ x (/ z (+ (- y z) 1.0)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ z (+ (- y z) 1.0))
42.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

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

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
0.2b	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
2.6b	(/ (/ z (+ (- y z) 1.0)) x)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
595×	`*-un-lft-identity`
335×	`add-sqr-sqrt` `add-cube-cbrt`
104×	`distribute-lft-out`
75×	`associate-/r*`
52×	`distribute-lft-out--`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 435

Calls

3 calls:

8.0ms	(/ z (+ (- y z) 1.0))
25.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
12.0ms	(/ (/ z (+ (- y z) 1.0)) x)

series145.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ z (+ (- y z) 1.0))
38.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
63.0ms	(/ (/ z (+ (- y z) 1.0)) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1274	4865
1	5001	4384

prune738.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
0.1b	(/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0)))
3.0b	(* (/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0))) (* (cbrt 1) x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
102×	`times-frac`
58×	`add-exp-log`
41×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
26×	`associate-l` `associate-/r*` `distribute-lft-out`
21×	`prod-exp` `cbrt-unprod`
19×	`cbrt-undiv` `div-exp`
13×	`distribute-lft-out--`
10×	`associate-/r/`
8×	`pow1`
6×	`div-inv`
4×	`flip3-+` `flip-+` `associate-/l*`
3×	`pow-prod-down` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-r` `associate-l/` `-commutative`

Counts

3 → 157

Calls

3 calls:

8.0ms	(/ z (+ (- y z) 1.0))
14.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0)))
21.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0))) (* (cbrt 1) x))

series110.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ z (+ (- y z) 1.0))
29.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0)))
36.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0))) (* (cbrt 1) x))

simplify94.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	636	1600
1	3394	1331
2	5001	1100

prune302.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

91.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.5b

bsearch81.0ms

Steps

Iters	Range		Point
10	7.521372480586488e-07	1194293.182570832	0.1043421466275564
8	-4.972566247523887e+110	-3.3703299019930205e+106	-8.507940501724928e+106

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	16
1	36	16

end0.0ms

sample461.0ms

Algorithm

intervals

Results

248.0ms

10124×

body

valid