Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample39.0ms

Algorithm

intervals

Results

22.0ms	103×	body	1280	valid
4.0ms	111×	body	80	valid
4.0ms	24×	body	640	valid
1.0ms	10×	body	320	valid
1.0ms	8×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	442	12
1	442	12

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 17.1b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ 1.0 (hypot 1.0 x)))
0.0b	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
0.0b	(/ 1.0 (hypot 1.0 x))
2.6b	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

6.0ms	(+ 1.0 (/ 1.0 (hypot 1.0 x)))
7.0ms	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
3.0ms	(/ 1.0 (hypot 1.0 x))
3.0ms	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ 1.0 (/ 1.0 (hypot 1.0 x)))
13.0ms	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
4.0ms	(/ 1.0 (hypot 1.0 x))
17.0ms	(- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))

simplify76.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4844	870
1	4844	870

prune125.0ms

Filtered

54 candidates to 77 candidates (-42.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 16.7b

Counts

78 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
0.0b	(/ 1.0 (hypot 1.0 x))
0.0b	(/ 1.0 (hypot 1.0 x))
2.1b	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `sqrt-div` `associate-*r/` `div-exp` `clear-num` `div-inv` `associate--r+`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `pow1/2` `diff-log` `pow-prod-down` `sqrt-prod` `flip--` `flip-+`

Counts

4 → 80

Calls

4 calls:

9.0ms	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
3.0ms	(/ 1.0 (hypot 1.0 x))
3.0ms	(/ 1.0 (hypot 1.0 x))
4.0ms	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
4.0ms	(/ 1.0 (hypot 1.0 x))
4.0ms	(/ 1.0 (hypot 1.0 x))
7.0ms	(- (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5000	919

prune209.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Merged error: 16.7b

Counts

94 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (hypot 1.0 x))
0.0b	(/ 1.0 (hypot 1.0 x))
2.1b	(- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))
2.1b	(log (pow (exp 1.0) (- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
19×	`times-frac`
9×	`add-exp-log` `log-prod` `add-log-exp`
8×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1` `sub-neg`
3×	`unpow-prod-down` `diff-log` `rem-log-exp` `distribute-lft-out--`
2×	`cbrt-undiv` `unpow-prod-up` `flip3--` `frac-2neg` `div-exp` `associate--l+` `clear-num` `frac-sub` `flip--` `div-inv` `difference-of-squares`
1×	`associate--l-` `pow-to-exp` `log-div` `pow-exp` `log-pow` `pow-sub` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

3.0ms	(/ 0.5 (hypot 1.0 x))
3.0ms	(/ 1.0 (hypot 1.0 x))
10.0ms	(- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))
5.0ms	(log (pow (exp 1.0) (- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 0.5 (hypot 1.0 x))
4.0ms	(/ 1.0 (hypot 1.0 x))
6.0ms	(- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))
50.0ms	(log (pow (exp 1.0) (- (- 1.0 0.5) (/ 0.5 (hypot 1.0 x)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4952	1168
1	4952	1168

prune280.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Merged error: 16.7b

Counts

110 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (hypot 1.0 x))
0.0b	(/ 0.5 (hypot 1.0 x))
0.0b	(pow (* 1.0 (+ 0.5 (/ 0.5 (hypot 1.0 x)))) 3)
2.1b	(- (pow 1.0 6) (pow (* 1.0 (+ 0.5 (/ 0.5 (hypot 1.0 x)))) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp` `difference-of-squares` `sqr-pow`
3×	`unpow-prod-down` `pow-unpow`
2×	`cbrt-undiv` `cube-div` `pow-pow` `frac-2neg` `associate-*r/` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `cube-prod` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--`

Counts

4 → 96

Calls

4 calls:

3.0ms	(/ 0.5 (hypot 1.0 x))
3.0ms	(/ 0.5 (hypot 1.0 x))
8.0ms	(pow (* 1.0 (+ 0.5 (/ 0.5 (hypot 1.0 x)))) 3)
7.0ms	(- (pow 1.0 6) (pow (* 1.0 (+ 0.5 (/ 0.5 (hypot 1.0 x)))) 3))

series61.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 0.5 (hypot 1.0 x))
4.0ms	(/ 0.5 (hypot 1.0 x))
16.0ms	(pow (* 1.0 (+ 0.5 (/ 0.5 (hypot 1.0 x)))) 3)
37.0ms	(- (pow 1.0 6) (pow (* 1.0 (+ 0.5 (/ 0.5 (hypot 1.0 x)))) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4997	1336
1	4997	1336

prune424.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	107	4	111

Merged error: 16.6b

Counts

111 → 4

regimes279.0ms

Accuracy

0% (0.0b remaining)

Error of 14.8b against oracle of 14.7b and baseline of 14.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	26
1	38	26

end0.0ms

sample1.1s

Algorithm

intervals

Results

648.0ms	2878×	body	1280	valid
158.0ms	4048×	body	80	valid
104.0ms	600×	body	640	valid
37.0ms	309×	body	320	valid
13.0ms	165×	body	160	valid

Details

analyze1.0ms

sample39.0ms

simplify19.0ms

prune5.0ms

localize8.0ms

rewrite20.0ms

series41.0ms

simplify76.0ms

prune125.0ms

localize11.0ms

rewrite21.0ms

series28.0ms

simplify50.0ms

prune209.0ms

localize19.0ms

rewrite24.0ms

series65.0ms

simplify50.0ms

prune280.0ms

localize25.0ms

rewrite24.0ms

series61.0ms

simplify54.0ms

prune424.0ms

regimes279.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling