Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	233×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

21.0ms

(+ x (/ (- x y) 2.0))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ x (/ (- x y) 2.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (87.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80

prune77.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(* (cbrt x) (cbrt x))

series738.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
182.0ms	(cbrt x)
174.0ms	(cbrt x)
199.0ms	(* (cbrt x) (cbrt x))

simplify99.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	119	308
1	484	281
2	2976	258
3	5001	255

prune375.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
39×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

1.0ms	(cbrt x)
11.0ms	(* (cbrt x) (cbrt x))
15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt (cbrt x))

series843.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
207.0ms	(* (cbrt x) (cbrt x))
204.0ms	(* (cbrt x) (cbrt x))
252.0ms	(cbrt (cbrt x))

simplify101.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	150	481
1	549	447
2	3194	401
3	5001	395

prune674.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt (cbrt x))
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
27×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt x)
11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt (cbrt x))
4.0ms	(pow (cbrt (cbrt x)) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt x)
219.0ms	(* (cbrt x) (cbrt x))
268.0ms	(cbrt (cbrt x))
314.0ms	(pow (cbrt (cbrt x)) 4)

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	240	435
1	954	404
2	5001	375

prune618.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample344.0ms

Algorithm

intervals

Results

164.0ms	7397×	body	80	valid
17.0ms	199×	body	1280	valid
11.0ms	159×	body	640	valid
11.0ms	103×	body	2560	valid
5.0ms	98×	body	320	valid
2.0ms	45×	body	160	valid