Details

sample22.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	86×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize4.0ms

Local error

Found 1 expressions with local error:

19.0b

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

rewrite5.0ms

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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify139.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (33.0ms)

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

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* 1/2 (/ y x))
22.0ms	(+ x (* 1/2 (/ y x)))

simplify103.0ms

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

prune80.0ms

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))
2.0ms	(+ x (* 1/2 (/ y x)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* 1/2 (/ y x))
22.0ms	(+ x (* 1/2 (/ y x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

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

prune73.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 22.0b

bsearch63.0ms

Steps

Iters	Range		Point
9	4.35975491731079e+116	6.714891876596302e+121	8.456870552497892e+117
10	-6.731738964690938e+154	-1.034655184596798e+141	-1.3352056197781018e+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

sample637.0ms

Algorithm

intervals

Results

346.0ms	8000×	body	80	valid
116.0ms	2723×	body	80	nan