Details

sample293.0ms

Algorithm

intervals

Results

25.0ms	917×	body	80	nan
7.0ms	256×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`expm1-log1p-u` `flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 36

Calls

1 calls:

10.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify79.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	188	226
1	635	215
2	2636	210
3	5002	210

prune72.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (fma 0.125 (/ 1 x) 0.5))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

4.0ms

(- x (fma 0.125 (/ 1 x) 0.5))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- x (fma 0.125 (/ 1 x) 0.5))

simplify76.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	130	313
1	374	194
2	2550	188
3	5002	133

prune35.0ms

Filtered

32 candidates to 18 candidates (56.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

29.2b

(sqrt (* (- x 1.0) x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*l/`
1×	`add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

(sqrt (* (- x 1.0) x))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(sqrt (* (- x 1.0) x))

simplify160.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	118	82
1	306	77
2	1115	74
3	4409	73
4	5001	73

prune28.0ms

Filtered

18 candidates to 15 candidates (83.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	18	2	20

Merged error: 0b

Counts

20 → 2

regimes18.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.5b

bsearch25.0ms

Steps

Iters	Range		Point
8	30672.425835755894	32969637.51426348	67840.3960161232

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

602.0ms	23725×	body	80	nan
220.0ms	7995×	body	80	valid
0.0ms	5×	body	160	valid