Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

323×

body

valid

simplify67.0ms

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: 10.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.5b	(/ (* x (+ (- y z) 1.0)) z)

rewrite62.0ms

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:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* x (+ (- y z) 1.0))
42.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (9.0ms)

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

prune95.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.1b	(/ x (/ z (+ (- y z) 1.0)))

rewrite50.0ms

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:

18.0ms	(/ z (+ (- y z) 1.0))
24.0ms	(/ x (/ z (+ (- y z) 1.0)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ z (+ (- y z) 1.0))
45.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (47.0ms)

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

prune263.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ (- y z) 1.0)))))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

331×	`times-frac`
240×	`*-un-lft-identity`
186×	`add-sqr-sqrt`
179×	`cbrt-prod`
167×	`associate-r`
150×	`add-cube-cbrt`
73×	`add-exp-log`
39×	`add-cbrt-cube`
36×	`distribute-lft-out`
27×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
18×	`distribute-lft-out--`
12×	`unswap-sqr`
7×	`associate-/r/`
6×	`pow1` `cbrt-div`
5×	`associate-l` `div-inv`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 259

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
190.0ms	(* (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ (- y z) 1.0)))))

series593.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt z)
176.0ms	(cbrt z)
178.0ms	(cbrt z)
54.0ms	(* (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ (- y z) 1.0)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1566	5111
1	5002	4714

prune775.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))
3.1b	(/ (/ z (+ (- y z) 1.0)) x)

rewrite120.0ms

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:

18.0ms	(/ z (+ (- y z) 1.0))
37.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
31.0ms	(/ (/ z (+ (- y z) 1.0)) x)

series140.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ z (+ (- y z) 1.0))
38.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
56.0ms	(/ (/ z (+ (- y z) 1.0)) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1274	4865
1	5001	4384

prune874.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

67.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch50.0ms

Steps

Iters	Range		Point
6	2.230391204833286e-10	1.0238400441369445e-09	1.0079533659797822e-09
6	-6.915782306417832e+104	-7.708662632102798e+103	-1.3843947922367833e+104

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

end0.0ms

sample454.0ms

Algorithm

intervals

Results

251.0ms

10102×

body

valid