Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	244×	body	80	valid
0.0ms	7×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify25.0ms

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

prune2.0ms

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))

rewrite25.0ms

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:

25.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify85.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (83.0ms)

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

prune56.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
52×	`prod-diff`
48×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
37×	`times-frac`
15×	`distribute-lft-out`
6×	`add-log-exp`
4×	`fma-neg` `div-inv`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `log1p-expm1-u`

Counts

1 → 78

Calls

1 calls:

110.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	451	1522
1	1443	1047
2	5002	936

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

9.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (+ x (/ x 2.0)))
10.0ms	(cbrt (+ x (/ x 2.0)))
77.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (+ x (/ x 2.0)))
225.0ms	(cbrt (+ x (/ x 2.0)))
215.0ms	(cbrt (+ x (/ x 2.0)))
260.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	183	879
1	584	828
2	2524	761
3	5001	756

prune327.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
0.6b	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-prod`
54×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
28×	`cbrt-div`
22×	`add-cube-cbrt`
18×	`pow1` `swap-sqr`
14×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
8×	`add-exp-log` `frac-times` `unswap-sqr`
4×	`expm1-log1p-u` `associate-r/` `pow-prod-down` `associate-l/` `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 → 142

Calls

4 calls:

9.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (+ x (/ x 2.0)))
75.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
76.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))

series955.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (+ x (/ x 2.0)))
225.0ms	(cbrt (+ x (/ x 2.0)))
256.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
260.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))

simplify81.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	183	1322
1	584	1248
2	2524	1130
3	5001	1120

prune677.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample337.0ms

Algorithm

intervals

Results

129.0ms	7426×	body	80	valid
17.0ms	196×	body	1280	valid
8.0ms	92×	body	2560	valid
7.0ms	134×	body	640	valid
4.0ms	91×	body	320	valid
2.0ms	62×	body	160	valid