Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
2.0ms	90×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.8b

localize5.0ms

Local error

Found 1 expressions with local error:

22.2b

(sqrt (+ (* x x) y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

4.0ms

(sqrt (+ (* x x) y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(sqrt (+ (* x x) y))

simplify143.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	116	95
1	334	90
2	997	89
3	3969	87
4	5002	87

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ y x))
0.0b	(+ x (* 1/2 (/ y x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* 1/2 (/ y x))
3.0ms	(+ x (* 1/2 (/ y x)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* 1/2 (/ y x))
23.0ms	(+ x (* 1/2 (/ y x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	199
1	960	187
2	4238	187
3	5003	187

prune86.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ y x))
0.0b	(+ x (* 1/2 (/ y x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

7.0ms	(* 1/2 (/ y x))
3.0ms	(+ x (* 1/2 (/ y x)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* 1/2 (/ y x))
23.0ms	(+ x (* 1/2 (/ y x)))

simplify105.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	199
1	960	187
2	4238	187
3	5003	187

prune82.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

98% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.4b

bsearch46.0ms

Steps

Iters	Range		Point
8	1.9386486951852963e+68	6.310868864655015e+71	6.210525943263359e+71
8	-1.6993806662071022e+156	-3.922170094862376e+153	-1.3559679438987683e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	29	10
2	31	10
3	31	10

end0.0ms

sample391.0ms

Algorithm

intervals

Results

156.0ms	8000×	body	80	valid
57.0ms	2742×	body	80	nan