Details

analyze5.2s

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

sample781.0ms

Algorithm

intervals

Results

478.0ms	2041×	body	80	invalid
65.0ms	256×	body	80	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5133	95

prune24.0ms

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: 25.1b

Counts

2 → 1

localize68.0ms

Local error

Found 4 expressions with local error:

8.1b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite40.0ms

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

series195.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
47.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
51.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify54.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5048	2800

prune550.0ms

Filtered

102 candidates to 124 candidates (-21.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	101	23	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	23	125

Merged error: 15.6b

Counts

125 → 23

localize73.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.1b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite40.0ms

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

series196.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
48.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5094	2800

prune540.0ms

Filtered

99 candidates to 124 candidates (-25.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	116	8	124
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	118	29	147

Merged error: 14.6b

Counts

147 → 29

localize69.0ms

Local error

Found 4 expressions with local error:

8.2b	(* (- (* y2 t) (* y3 y)) (- (* c y4) (* a y5)))
8.2b	(* (- (* y2 t) (* y3 y)) (- (* c y4) (* a y5)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite46.0ms

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

series195.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* y2 t) (* y3 y)) (- (* c y4) (* a y5)))
49.0ms	(* (- (* y2 t) (* y3 y)) (- (* c y4) (* a y5)))
50.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
47.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5138	2800

prune551.0ms

Filtered

96 candidates to 124 candidates (-29.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	1	27	28
Picked	1	0	1
Done	0	0	0
Total	123	30	153

Merged error: 14.3b

Counts

153 → 30

localize77.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (- (* x y2) (* z y3)))
8.4b	(cbrt (- (* x y2) (* z y3)))
8.4b	(cbrt (- (* x y2) (* z y3)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

4.0ms	(cbrt (- (* x y2) (* z y3)))
4.0ms	(cbrt (- (* x y2) (* z y3)))
4.0ms	(cbrt (- (* x y2) (* z y3)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (- (* x y2) (* z y3)))
36.0ms	(cbrt (- (* x y2) (* z y3)))
37.0ms	(cbrt (- (* x y2) (* z y3)))
51.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4967	1332
1	4967	1332

prune142.0ms

Filtered

69 candidates to 79 candidates (-14.5%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	29	29
Picked	0	1	1
Done	0	0	0
Total	79	30	109

Merged error: 14.3b

Counts

109 → 30

regimes8.4s

Accuracy

-12.4% (12.6b remaining)

Error of 27.9b against oracle of 15.3b and baseline of 26.5b

bsearch1.1s

Steps

Iters	Range	Point
10	9.192345694473621e+29	1.6983383052986373e+41	1.3832015318801277e+30
5	-5.064052046042878e-274	-2.4588472038843535e-274	-2.868567576113803e-274
6	-2.761028214287232e+36	-5.597262232302789e+35	-2.6363992935165653e+36

Iters

Range

Point

9.192345694473621e+29

1.6983383052986373e+41

1.3832015318801277e+30

-5.064052046042878e-274

-2.4588472038843535e-274

-2.868567576113803e-274

-2.761028214287232e+36

-5.597262232302789e+35

-2.6363992935165653e+36

simplify46.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	2855	459
1	2855	459

end0.0ms

sample23.2s

Algorithm

intervals

Results

14.8s	64083×	body	80	invalid
1.9s	8000×	body	80	valid

Details

analyze5.2s

sample781.0ms

simplify33.0ms

prune24.0ms

localize68.0ms

rewrite40.0ms

series195.0ms

simplify54.0ms

prune550.0ms

localize73.0ms

rewrite40.0ms

series196.0ms

simplify53.0ms

prune540.0ms

localize69.0ms

rewrite46.0ms

series195.0ms

simplify59.0ms

prune551.0ms

localize77.0ms

rewrite23.0ms

series163.0ms

simplify46.0ms

prune142.0ms

regimes8.4s

bsearch1.1s

simplify46.0ms

end0.0ms

sample23.2s

Profiling