Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	118×	body	320	valid
0.0hr	280×	body	80	nan
0.0hr	136×	body	160	valid
0.0hr	2×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	43	21
1	122	21
2	299	21
3	591	21
4	931	21
5	1162	21
6	1388	21
7	2798	21
8	5001	21

prune0.0hr

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: 34.5b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

5.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
28.0b	(sqrt (- (* g g) (* h h)))
28.0b	(sqrt (- (* g g) (* h h)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `frac-times` `flip3--` `sqrt-div` `associate-*r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `associate-*l/` `flip-+` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

simplify0.0hr

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	386	766
1	1391	724
2	5002	718

prune0.0hr

Filtered

72 candidates to 64 candidates (11.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	51	21	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	21	73

Merged error: 29.4b

Counts

73 → 21

localize0.0hr

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
5.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
28.0b	(sqrt (- (* g g) (* h h)))
28.0b	(sqrt (- (* g g) (* h h)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

0.0hr	(- (* g g) (* h h))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* g g) (* h h))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

simplify0.0hr

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	298	569
1	1198	537
2	5002	533

prune0.0hr

Filtered

71 candidates to 59 candidates (16.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	70	22	92

Merged error: 29.1b

Counts

92 → 22

localize0.0hr

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
5.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
28.0b	(sqrt (- (* g g) (* h h)))
28.0b	(sqrt (- (* g g) (* h h)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

0.0hr	(- (* g g) (* h h))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* g g) (* h h))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

simplify0.0hr

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	298	569
1	1198	537
2	5002	533

prune0.0hr

Filtered

71 candidates to 59 candidates (16.9%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	68	25	93

Merged error: 29.0b

Counts

93 → 25

localize0.0hr

Local error

Found 4 expressions with local error:

2.6b	(- (* g g) (* h h))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
28.0b	(sqrt (- (* g g) (* h h)))
28.0b	(sqrt (- (* g g) (* h h)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

0.0hr	(- (* g g) (* h h))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* g g) (* h h))
0.0hr	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
0.0hr	(sqrt (- (* g g) (* h h)))
0.0hr	(sqrt (- (* g g) (* h h)))

simplify0.0hr

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	321	569
1	1271	537
2	5002	533

prune0.0hr

Filtered

71 candidates to 59 candidates (16.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	4	20	24
Picked	1	0	1
Done	0	0	0
Total	72	24	96

Merged error: 29.0b

Counts

96 → 24

regimes0.0hr

Accuracy

80.5% (0.6b remaining)

Error of 31.5b against oracle of 30.9b and baseline of 33.9b

bsearch0.0hr

Steps

Iters	Range		Point
5	2.4585323721607486e-159	7.473810393674044e-159	2.9583808105567004e-159

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	49	56
1	61	56
2	71	56
3	90	56
4	100	56
5	112	56
6	117	56
7	124	56
8	134	56
9	143	56
10	153	56
11	163	56
12	177	56
13	177	56

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3717×	body	320	valid
0.0hr	4140×	body	160	valid
0.0hr	8019×	body	80	nan
0.0hr	143×	body	80	valid

Iter	Nodes	Cost
0	49	56
1	61	56
2	71	56
3	90	56
4	100	56
5	112	56
6	117	56
7	124	56
8	134	56
9	143	56
10	153	56
11	163	56
12	177	56
13	177	56

Iter	Nodes	Cost
0	49	56
1	61	56
2	71	56
3	90	56
4	100	56
5	112	56
6	117	56
7	124	56
8	134	56
9	143	56
10	153	56
11	163	56
12	177	56
13	177	56

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling

Iter	Nodes	Cost
0	49	56
1	61	56
2	71	56
3	90	56
4	100	56
5	112	56
6	117	56
7	124	56
8	134	56
9	143	56
10	153	56
11	163	56
12	177	56
13	177	56