Details

sample64.0ms

Algorithm

intervals

Results

31.0ms	721×	body	80	nan
12.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
16×	`sqrt-prod`
8×	`log-prod` `distribute-lft-out` `add-log-exp`
7×	`add-exp-log` `associate-/l*`
6×	`add-cbrt-cube`
5×	`pow1` `div-inv` `difference-of-squares`
3×	`log-div` `associate-/r*`
2×	`distribute-rgt-out` `flip3--` `flip3-+` `sqrt-div` `frac-add` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log` `log-pow`

Counts

4 → 95

Calls

4 calls:

3.0ms	(- 1.0 (* x x))
21.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)
19.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- 1.0 (* x x))
12.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
7.0ms	(/ (sqrt (- 1.0 (* x x))) x)
7.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	492	956
1	1752	902
2	5001	898

prune209.0ms

Filtered

107 candidates to 83 candidates (22.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	2	108

Merged error: 0b

Counts

108 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(- 1.0 (* x x))
0.0b	(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
0.0b	(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-cube-cbrt` `associate-l`
11×	`times-frac`
10×	`pow1`
9×	`add-cbrt-cube`
8×	`prod-exp`
6×	`add-log-exp`
5×	`log-div` `rem-log-exp`
4×	`frac-times` `flip3-+` `associate-r/` `div-exp` `associate-r*` `sqrt-prod` `flip-+`
3×	`unswap-sqr`
2×	`rec-exp` `flip3--` `sqrt-div` `1-exp` `pow-prod-down` `associate-*l/` `log-pow` `flip--` `cbrt-unprod` `difference-of-squares`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `rem-sqrt-square` `log-prod` `distribute-lft-in` `sqrt-pow1` `pow1/2` `diff-log` `*-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* x x)))
3.0ms	(- 1.0 (* x x))
8.0ms	(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
11.0ms	(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- 1.0 (* x x)))
4.0ms	(- 1.0 (* x x))
11.0ms	(log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))))
6.0ms	(* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	608	822
1	2724	746
2	5001	721

prune182.0ms

Filtered

103 candidates to 80 candidates (22.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Merged error: 0b

Counts

105 → 2

localize12.0ms

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)))

rewrite81.0ms

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:

19.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
21.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
19.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
19.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
11.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
11.0ms	(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	405	1026
1	1462	976
2	5001	936

prune269.0ms

Filtered

88 candidates to 74 candidates (15.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Merged error: 0b

Counts

90 → 2

regimes62.0ms

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	14	7
1	14	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	24391×	body	80	nan
396.0ms	8000×	body	80	valid

Details

sample64.0ms

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite52.0ms

series31.0ms

simplify50.0ms

prune209.0ms

localize10.0ms

rewrite28.0ms

series26.0ms

simplify63.0ms

prune182.0ms

localize12.0ms

rewrite81.0ms

series35.0ms

simplify48.0ms

prune269.0ms

regimes62.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling