Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	233×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid

simplify29.0ms

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))

rewrite14.0ms

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:

13.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (86.0ms)

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

prune48.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite144.0ms

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:

104.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
13.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.8s

Counts

4 → 12

Calls

4 calls:

449.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
450.0ms	(cbrt (+ x (/ (- x y) 2.0)))
459.0ms	(cbrt (+ x (/ (- x y) 2.0)))
460.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	270	1159
1	775	1094
2	2723	1004
3	5002	981

prune296.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 67

Calls

4 calls:

12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
12.0ms	(cbrt (+ x (/ (- x y) 2.0)))
17.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.1s

Counts

4 → 12

Calls

4 calls:

481.0ms	(cbrt (+ x (/ (- x y) 2.0)))
478.0ms	(cbrt (+ x (/ (- x y) 2.0)))
713.0ms	(cbrt (+ x (/ (- x y) 2.0)))
472.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify106.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 4 (98.0ms)

Iter	Nodes	Cost
0	207	672
1	455	634
2	1147	626
3	3748	606
4	5002	602

prune323.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
20×	`*-un-lft-identity`
16×	`cbrt-div`
12×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

12.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
13.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
13.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
13.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.9s

Counts

4 → 12

Calls

4 calls:

486.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
483.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
479.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
475.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify87.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	162	852
1	343	808
2	870	800
3	2922	780
4	5001	768

prune390.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.1b 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	7	3
1	7	3

end0.0ms

sample447.0ms

Algorithm

intervals

Results

259.0ms	7413×	body	80	valid
23.0ms	198×	body	1280	valid
16.0ms	166×	body	640	valid
13.0ms	96×	body	2560	valid
6.0ms	81×	body	320	valid
3.0ms	52×	body	160	valid