Details

analyze5.1s

Algorithm

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

sample985.0ms

Algorithm

intervals

Results

469.0ms	1978×	body	80	invalid
305.0ms	256×	body	80	valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5427	95

prune22.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.0b

Counts

2 → 1

localize64.0ms

Local error

Found 4 expressions with local error:

8.2b	(* (- (* x y2) (* z y3)) (- (* c y0) (* a y1)))
8.5b	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
8.8b	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
9.0b	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

9.0ms	(* (- (* x y2) (* z y3)) (- (* c y0) (* a y1)))
15.0ms	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
9.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* x y2) (* z y3)) (- (* c y0) (* a y1)))
53.0ms	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
54.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
51.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

simplify44.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5053	2800

prune432.0ms

Filtered

104 candidates to 124 candidates (-19.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	107	17	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	17	125

Merged error: 17.1b

Counts

125 → 17

localize67.0ms

Local error

Found 4 expressions with local error:

7.9b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.5b	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
8.8b	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
9.0b	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
16.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
10.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
53.0ms	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
53.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
51.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

simplify43.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5042	2800

prune428.0ms

Filtered

104 candidates to 124 candidates (-19.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	119	22	141

Merged error: 14.3b

Counts

141 → 22

localize73.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5)))
8.5b	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
8.8b	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
9.0b	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

10.0ms	(* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5)))
9.0ms	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
10.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
9.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5)))
51.0ms	(* (- (* x j) (* z k)) (- (* i y1) (* b y0)))
53.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
51.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

simplify49.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5047	2796

prune470.0ms

Filtered

103 candidates to 124 candidates (-20.4%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	120	26	146

Merged error: 12.5b

Counts

146 → 26

localize80.0ms

Local error

Found 4 expressions with local error:

5.9b	(* b (* a (- (* y x) (* t z))))
7.5b	(* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5)))
8.8b	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
9.0b	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

19×	`flip3--` `flip--`
17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`frac-times` `associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sub-neg` `associate-r/` `associate-r*`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* b (* a (- (* y x) (* t z))))
10.0ms	(* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5)))
10.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
9.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* b (* a (- (* y x) (* t z))))
52.0ms	(* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5)))
50.0ms	(* (- (* t y2) (* y y3)) (- (* a y5) (* c y4)))
54.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5143	2421

prune160.0ms

Filtered

91 candidates to 120 candidates (-31.9%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	1	24	25
Picked	1	0	1
Done	0	0	0
Total	119	27	146

Merged error: 12.2b

Counts

146 → 27

regimes7.5s

Accuracy

3.4% (15.8b remaining)

Error of 26.9b against oracle of 11.0b and baseline of 27.4b

bsearch1.6s

Steps

Iters	Range		Point
8	4.463564938715904e+36	9.01555675544135e+40	8.375037087757261e+37
5	3.542905439368026e-120	1.1015744226972665e-119	5.8370955327107604e-120
6	9.022380173766268e-160	3.702042987790866e-159	2.5044263656925586e-159
5	8.50260538068084e-187	1.7248962087683796e-186	1.4742294544187031e-186
8	-1.9631496595666221e-119	-2.7840102145291784e-123	-5.352377399321279e-121

simplify94.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	3139	677
1	3139	677

end0.0ms

sample22.5s

Algorithm

intervals

Results

14.8s	62903×	body	80	invalid
1.9s	8000×	body	80	valid

Details

analyze5.1s

sample985.0ms

simplify31.0ms

prune22.0ms

localize64.0ms

rewrite47.0ms

series209.0ms

simplify44.0ms

prune432.0ms

localize67.0ms

rewrite48.0ms

series208.0ms

simplify43.0ms

prune428.0ms

localize73.0ms

rewrite47.0ms

series209.0ms

simplify49.0ms

prune470.0ms

localize80.0ms

rewrite40.0ms

series181.0ms

simplify57.0ms

prune160.0ms

regimes7.5s

bsearch1.6s

simplify94.0ms

end0.0ms

sample22.5s

Profiling