Details

analyze4.9s

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

sample746.0ms

Algorithm

intervals

Results

478.0ms	2070×	body	80	invalid
59.0ms	256×	body	80	valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 25.6b

Counts

2 → 1

localize60.0ms

Local error

Found 4 expressions with local error:

7.9b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

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

series203.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify46.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5004	2800

prune430.0ms

Filtered

101 candidates to 124 candidates (-22.8%)

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: 14.4b

Counts

125 → 17

localize65.0ms

Local error

Found 4 expressions with local error:

6.9b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
52.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify47.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5074	2800

prune432.0ms

Filtered

99 candidates to 124 candidates (-25.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	116	8	124
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	118	23	141

Merged error: 11.4b

Counts

141 → 23

localize69.0ms

Local error

Found 4 expressions with local error:

6.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

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:

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

series197.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5013	2796

prune462.0ms

Filtered

101 candidates to 124 candidates (-22.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	121	26	147

Merged error: 10.1b

Counts

147 → 26

localize83.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (- (* y4 c) (* y5 a)))
8.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

3.0ms	(cbrt (- (* y4 c) (* y5 a)))
10.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (- (* y4 c) (* y5 a)))
49.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify41.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5163	2334

prune162.0ms

Filtered

90 candidates to 109 candidates (-21.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	25	25
Picked	1	0	1
Done	0	0	0
Total	109	26	135

Merged error: 10.1b

Counts

135 → 26

regimes7.4s

Accuracy

-1.8% (15.5b remaining)

Error of 27.7b against oracle of 12.2b and baseline of 27.4b

bsearch2.7s

Steps

Iters	Range		Point
7	1.7754537951842664e-105	1.9515372768883063e-103	4.810834636764084e-104
9	5.2768377460773865e-186	5.55880554202206e-181	1.194052064162617e-181
8	5.016442124025028e-284	5.415409675785067e-280	6.874962237785278e-283
8	-1.6527148860317963e-231	-1.5553856546749464e-234	-2.7574949932241726e-232
7	-3.5490491044245096e-186	-1.7184076626803587e-188	-1.013671810830034e-187
8	-2.5164569805753117e-115	-1.5876623574134365e-118	-3.4297215494461836e-116
9	-5.183064950697698e-77	-1.5351355045852506e-83	-1.9307705767884762e-78
8	-3.924386391209513e+21	-4.2026089598761856e+17	-4.808809147439703e+18

simplify89.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	3036	1008
1	3036	1008

end0.0ms

sample22.6s

Algorithm

intervals

Results

15.0s	62918×	body	80	invalid
1.9s	8000×	body	80	valid

Details

analyze4.9s

sample746.0ms

simplify29.0ms

prune22.0ms

localize60.0ms

rewrite40.0ms

series203.0ms

simplify46.0ms

prune430.0ms

localize65.0ms

rewrite40.0ms

series201.0ms

simplify47.0ms

prune432.0ms

localize69.0ms

rewrite46.0ms

series197.0ms

simplify45.0ms

prune462.0ms

localize83.0ms

rewrite35.0ms

series187.0ms

simplify41.0ms

prune162.0ms

regimes7.4s

bsearch2.7s

simplify89.0ms

end0.0ms

sample22.6s

Profiling