Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

sample26.0ms

Algorithm

intervals

Results

6.0ms	190×	body	80	valid
5.0ms	30×	body	1280	valid
4.0ms	256×	pre	80	true
3.0ms	21×	body	640	valid
1.0ms	11×	body	320	valid
0.0ms	4×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4913	13
1	4913	13

prune6.0ms

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: 15.4b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.0b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
19×	`distribute-lft-out`
14×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

2 → 65

Calls

2 calls:

9.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
17.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series19.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
12.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4958	1005
1	4958	1005

prune126.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	9	72

Merged error: 14.8b

Counts

72 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ 2.0 alpha))) 1.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ beta (+ 2.0 alpha)))
1.1b	(- (/ alpha (+ beta (+ 2.0 alpha))) 1.0)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`times-frac`
24×	`add-cube-cbrt` `distribute-lft-out`
11×	`add-log-exp`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `diff-log` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `frac-sub` `flip-+` `div-inv`
1×	`associate--r+` `associate--r-`

Counts

4 → 108

Calls

4 calls:

28.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ 2.0 alpha))) 1.0))
7.0ms	(/ beta (+ (+ alpha beta) 2.0))
7.0ms	(/ alpha (+ beta (+ 2.0 alpha)))
13.0ms	(- (/ alpha (+ beta (+ 2.0 alpha))) 1.0)

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ beta (+ 2.0 alpha))) 1.0))
6.0ms	(/ beta (+ (+ alpha beta) 2.0))
6.0ms	(/ alpha (+ beta (+ 2.0 alpha)))
11.0ms	(- (/ alpha (+ beta (+ 2.0 alpha))) 1.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4930	1670
1	4930	1670

prune209.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	8	0	8
Picked	1	0	1
Done	0	0	0
Total	121	8	129

Merged error: 2.5b

Counts

129 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ alpha (+ beta 2.0)))
0.7b	(cbrt (+ alpha (+ beta 2.0)))
0.7b	(cbrt (+ alpha (+ beta 2.0)))
1.1b	(- (/ alpha (+ beta (+ 2.0 alpha))) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`cbrt-prod`
12×	`add-sqr-sqrt`
9×	`distribute-lft-out`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 59

Calls

4 calls:

5.0ms	(cbrt (+ alpha (+ beta 2.0)))
5.0ms	(cbrt (+ alpha (+ beta 2.0)))
5.0ms	(cbrt (+ alpha (+ beta 2.0)))
13.0ms	(- (/ alpha (+ beta (+ 2.0 alpha))) 1.0)

series63.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (+ alpha (+ beta 2.0)))
19.0ms	(cbrt (+ alpha (+ beta 2.0)))
16.0ms	(cbrt (+ alpha (+ beta 2.0)))
11.0ms	(- (/ alpha (+ beta (+ 2.0 alpha))) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4968	829
1	4968	829

prune191.0ms

Filtered

54 candidates to 71 candidates (-31.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	71	8	79

Merged error: 2.5b

Counts

79 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ alpha (+ alpha (+ beta 2.0)))
0.8b	(* alpha (/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0)))))
3.7b	(- (* alpha (/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0))))) (* 1.0 1.0))
10.1b	(/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-cube-cbrt`
18×	`associate-/r/`
15×	`associate-r`
13×	`flip3-+` `flip-+`
12×	`distribute-lft-out`
8×	`frac-times`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
5×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
4×	`associate-*l/`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 113

Calls

4 calls:

9.0ms	(/ alpha (+ alpha (+ beta 2.0)))
17.0ms	(* alpha (/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0)))))
15.0ms	(- (* alpha (/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0))))) (* 1.0 1.0))
13.0ms	(/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ alpha (+ alpha (+ beta 2.0)))
10.0ms	(* alpha (/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0)))))
15.0ms	(- (* alpha (/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0))))) (* 1.0 1.0))
10.0ms	(/ alpha (* (+ alpha (+ beta 2.0)) (+ alpha (+ beta 2.0))))

simplify81.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4953	1731
1	4953	1731

prune209.0ms

Filtered

88 candidates to 125 candidates (-42.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	125	8	133

Merged error: 2.5b

Counts

133 → 8

regimes139.0ms

Accuracy

76.9% (3.2b remaining)

Error of 6.2b against oracle of 3.0b and baseline of 16.8b

bsearch21.0ms

Steps

Iters	Range		Point
10	1.0363561759642775e+23	1.347665586042769e+34	1.0499795202859758e+23

simplify11.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	748	68
1	748	68

end0.0ms

sample742.0ms

Algorithm

intervals

Results

194.0ms	5780×	body	80	valid
134.0ms	841×	body	1280	valid
128.0ms	8000×	pre	80	true
91.0ms	741×	body	640	valid
40.0ms	431×	body	320	valid
13.0ms	207×	body	160	valid

Details

analyze2.0ms

sample26.0ms

simplify65.0ms

prune6.0ms

localize12.0ms

rewrite29.0ms

series19.0ms

simplify41.0ms

prune126.0ms

localize11.0ms

rewrite58.0ms

series35.0ms

simplify61.0ms

prune209.0ms

localize19.0ms

rewrite29.0ms

series63.0ms

simplify63.0ms

prune191.0ms

localize18.0ms

rewrite59.0ms

series41.0ms

simplify81.0ms

prune209.0ms

regimes139.0ms

bsearch21.0ms

simplify11.0ms

end0.0ms

sample742.0ms

Profiling