Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

sample30.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	100×	body	80	invalid

simplify288.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (286.0ms)

Iter	Nodes	Cost
0	4888	13
1	4888	13

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 7.6b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.4b	(* z (* 9.0 t))
7.1b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 53

Calls

3 calls:

4.0ms	(- (* x y) (* z (* 9.0 t)))
4.0ms	(* z (* 9.0 t))
6.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series34.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(- (* x y) (* z (* 9.0 t)))
3.0ms	(* z (* 9.0 t))
18.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify29.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5089	703

prune104.0ms

Filtered

42 candidates to 62 candidates (-47.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y (/ x (* a 2.0))) (* (* 9.0 t) (/ z (* a 2.0))))
5.3b	(* (* 9.0 t) (/ z (* a 2.0)))
6.0b	(* y (/ x (* a 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
14×	`associate-r`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-undiv` `times-frac` `associate-*r/` `div-exp`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down`
2×	`*-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

3 → 71

Calls

3 calls:

7.0ms	(- (* y (/ x (* a 2.0))) (* (* 9.0 t) (/ z (* a 2.0))))
9.0ms	(* (* 9.0 t) (/ z (* a 2.0)))
6.0ms	(* y (/ x (* a 2.0)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (* y (/ x (* a 2.0))) (* (* 9.0 t) (/ z (* a 2.0))))
6.0ms	(* (* 9.0 t) (/ z (* a 2.0)))
6.0ms	(* y (/ x (* a 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4998	916
1	4998	916

prune120.0ms

Filtered

50 candidates to 80 candidates (-60.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	80	8	88

Merged error: 0.0b

Counts

88 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.4b	(* z (* 9.0 t))
0.4b	(/ 1 (* 2.0 (/ a (- (* x y) (* z (* 9.0 t))))))
7.1b	(/ a (- (* x y) (* z (* 9.0 t))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `times-frac`
10×	`div-exp`
9×	`prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`pow-prod-down` `associate-/r*`
3×	`rec-exp` `1-exp` `associate-l` `associate-/r/`
2×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `diff-log` `associate-r/` `associate-r` `-commutative` `inv-pow`

Counts

4 → 91

Calls

4 calls:

4.0ms	(- (* x y) (* z (* 9.0 t)))
5.0ms	(* z (* 9.0 t))
9.0ms	(/ 1 (* 2.0 (/ a (- (* x y) (* z (* 9.0 t))))))
6.0ms	(/ a (- (* x y) (* z (* 9.0 t))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (* x y) (* z (* 9.0 t)))
3.0ms	(* z (* 9.0 t))
27.0ms	(/ 1 (* 2.0 (/ a (- (* x y) (* z (* 9.0 t))))))
17.0ms	(/ a (- (* x y) (* z (* 9.0 t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4979	1260
1	4979	1260

prune127.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ y a) (/ x 2.0)) (* (* 9.0 t) (/ z (* a 2.0))))
5.3b	(* (* 9.0 t) (/ z (* a 2.0)))
5.7b	(* (/ y a) (/ x 2.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log` `add-cbrt-cube`
31×	`add-sqr-sqrt`
25×	`times-frac`
20×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`pow1`
8×	`cbrt-undiv` `div-exp`
7×	`associate-*r/`
5×	`add-log-exp`
4×	`pow-prod-down` `unswap-sqr`
3×	`frac-times` `frac-sub` `div-inv`
2×	`associate-l/` `-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `sub-div`

Counts

3 → 96

Calls

3 calls:

10.0ms	(- (* (/ y a) (/ x 2.0)) (* (* 9.0 t) (/ z (* a 2.0))))
7.0ms	(* (* 9.0 t) (/ z (* a 2.0)))
9.0ms	(* (/ y a) (/ x 2.0))

series33.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (* (/ y a) (/ x 2.0)) (* (* 9.0 t) (/ z (* a 2.0))))
6.0ms	(* (* 9.0 t) (/ z (* a 2.0)))
6.0ms	(* (/ y a) (/ x 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4991	1179
1	4991	1179

prune107.0ms

Filtered

73 candidates to 105 candidates (-43.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

regimes802.0ms

Accuracy

6.7% (7.2b remaining)

Error of 7.2b against oracle of 0.0b and baseline of 7.7b

bsearch128.0ms

Steps

Iters	Range		Point
10	2.2798709526586523e+51	1.9547241988210532e+64	6.1237664107480045e+54
8	-4.3321961595562746e-271	-4.7134031728253505e-275	-1.3426129749595774e-273
8	-1.1502702204083056e-123	-2.205452467347853e-128	-3.898581623228132e-126
7	-7.120069189623366e+57	-1.313008628930058e+56	-8.813908218785836e+56
9	-6.152275231463145e+240	-5.079621671769735e+234	-8.946880921470724e+237

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	194	124
1	194	124

end0.0ms

sample819.0ms

Algorithm

intervals

Results

345.0ms	8000×	body	80	valid
126.0ms	3134×	body	80	invalid

Details

analyze1.1s

sample30.0ms

simplify288.0ms

prune17.0ms

localize9.0ms

rewrite16.0ms

series34.0ms

simplify29.0ms

prune104.0ms

localize10.0ms

rewrite26.0ms

series35.0ms

simplify58.0ms

prune120.0ms

localize13.0ms

rewrite26.0ms

series63.0ms

simplify63.0ms

prune127.0ms

localize11.0ms

rewrite31.0ms

series33.0ms

simplify41.0ms

prune107.0ms

regimes802.0ms

bsearch128.0ms

simplify3.0ms

end0.0ms

sample819.0ms

Profiling