Details

sample51.0ms

Algorithm

intervals

Results

25.0ms	897×	body	80	nan
9.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	16	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
8×	`log-prod` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `sqrt-prod` `div-inv`
3×	`log-div` `add-cbrt-cube`
2×	`distribute-rgt-out` `flip3-+` `sqrt-div` `frac-add` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log` `log-pow` `flip--` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

3.0ms	(sqrt (- 1.0 (* x x)))
23.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
25.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series456.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sqrt (- 1.0 (* x x)))
288.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
104.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	421	620
1	1463	576
2	5001	565

prune167.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.1b	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.1b	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
24×	`times-frac`
16×	`add-sqr-sqrt` `sqrt-prod` `distribute-lft-out`
14×	`add-cube-cbrt`
8×	`div-inv` `add-log-exp`
6×	`pow1` `sqrt-div`
4×	`add-exp-log` `distribute-rgt-out` `flip3-+` `frac-add` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 76

Calls

4 calls:

26.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
24.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
47.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
48.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
105.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
213.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
203.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	392	1016
1	1309	954
2	5001	920

prune319.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
0.0b	(log (+ (/ 1.0 x) (/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x)))
0.0b	(+ (/ 1.0 x) (/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x))
0.0b	(pow (sqrt (- 1.0 (* x x))) 3)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`cbrt-prod`
19×	`add-cube-cbrt`
16×	`sqrt-prod`
14×	`unpow-prod-down` `cube-prod`
12×	`times-frac`
8×	`log-prod` `distribute-lft-out`
7×	`pow1`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube`
4×	`cube-div` `sqrt-div` `div-inv` `difference-of-squares`
3×	`log-div` `pow-unpow` `pow-pow`
2×	`cube-mult` `cbrt-div` `distribute-rgt-out` `flip3--` `flip3-+` `unpow3` `frac-add` `flip--` `flip-+` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 104

Calls

4 calls:

6.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
59.0ms	(log (+ (/ 1.0 x) (/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x)))
62.0ms	(+ (/ 1.0 x) (/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x))
4.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

series624.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
291.0ms	(log (+ (/ 1.0 x) (/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x)))
102.0ms	(+ (/ 1.0 x) (/ (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) x))
166.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	602	1076
1	2401	999
2	5001	979

prune267.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	12	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

703.0ms	24455×	body	80	nan
281.0ms	8000×	body	80	valid