Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	303×	body	80	valid
0.0ms	1×	body	640	valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

13.0ms

(- (* (+ x 1.0) y) x)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (* (+ x 1.0) y) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	78	80
1	300	73
2	1469	71
3	5001	71

prune25.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

91.0ms	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
11.0ms	(cbrt (- (* (+ x 1.0) y) x))
11.0ms	(cbrt (- (* (+ x 1.0) y) x))
11.0ms	(cbrt (- (* (+ x 1.0) y) x))

series410.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
98.0ms	(cbrt (- (* (+ x 1.0) y) x))
97.0ms	(cbrt (- (* (+ x 1.0) y) x))
100.0ms	(cbrt (- (* (+ x 1.0) y) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	359	1250
1	1144	1176
2	5001	1078

prune255.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 56

Calls

4 calls:

11.0ms	(cbrt (- (* (+ x 1.0) y) x))
11.0ms	(cbrt (- (* (+ x 1.0) y) x))
11.0ms	(cbrt (- (* (+ x 1.0) y) x))
43.0ms	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))

series598.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt (- (* (+ x 1.0) y) x))
99.0ms	(cbrt (- (* (+ x 1.0) y) x))
100.0ms	(cbrt (- (* (+ x 1.0) y) x))
118.0ms	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))

simplify72.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	336	993
1	808	943
2	2834	899
3	5001	899

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))
0.6b	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div`
14×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

11.0ms	(cbrt (- (* (+ x 1.0) y) x))
11.0ms	(cbrt (- (* (+ x 1.0) y) x))
41.0ms	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))
41.0ms	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (- (* (+ x 1.0) y) x))
102.0ms	(cbrt (- (* (+ x 1.0) y) x))
121.0ms	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))
121.0ms	(cbrt (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))))

simplify74.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	336	1242
1	808	1178
2	2834	1126
3	5001	1126

prune309.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample338.0ms

Algorithm

intervals

Results

153.0ms	9135×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid