Details

analyze5.0s

Algorithm: search

sample706.0ms

Algorithm

intervals

Results

457.0ms	1979×	body	80	invalid
56.0ms	256×	body	80	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	132	47
1	350	47
2	1758	47
3	5001	47

prune12.0ms

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: 30.5b

Counts

2 → 1

localize60.0ms

Local error

Found 4 expressions with local error:

9.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
13.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite36.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune474.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	109	23	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	23	133

Merged error: 20.1b

Counts

133 → 23

localize67.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (- (* y0 c) (* y1 a)))
9.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

rewrite32.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (* y0 c) (* y1 a)))
53.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
53.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

simplify116.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	984	1327
1	4493	1228
2	5002	1224

prune363.0ms

Filtered

87 candidates to 115 candidates (-32.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	115	23	138

Merged error: 20.1b

Counts

138 → 23

localize70.0ms

Local error

Found 4 expressions with local error:

9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
13.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite36.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify108.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	823	1572
1	4016	1452
2	5001	1452

prune373.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	21	21
Picked	0	1	1
Done	0	1	1
Total	132	23	155

Merged error: 20.1b

Counts

155 → 23

localize72.0ms

Local error

Found 4 expressions with local error:

10.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
13.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
13.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
13.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite37.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
52.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
54.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify81.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	574	1572
1	2737	1452
2	5001	1452

prune165.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	20	20
Picked	0	1	1
Done	0	2	2
Total	132	23	155

Merged error: 20.1b

Counts

155 → 23

regimes6.5s

Accuracy

-34.8% (11.3b remaining)

Error of 29.9b against oracle of 18.6b and baseline of 27.0b

bsearch1.3min

Steps

Iters	Range		Point
8	4.575075132997346e+122	9.057517960739488e+125	9.73326024250583e+124
5	2.365622110016151e-230	5.322985331866121e-230	3.875599682667833e-230
8	-4.13765272890444e-223	-1.087620835407349e-225	-2.0871112746900383e-223
9	-4.720068692050733e+22	-484217280189627.5	-1.7984830571752637e+18

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	168	244
1	174	244
2	174	244

end0.0ms

analyze5.1s

Algorithm: search

sample22.6s

Algorithm

intervals

Results

15.1s	65403×	body	80	invalid
1.8s	8000×	body	80	valid

Details

analyze5.0s

sample706.0ms

simplify43.0ms

prune12.0ms

localize60.0ms

rewrite36.0ms

series202.0ms

simplify40.0ms

prune474.0ms

localize67.0ms

rewrite32.0ms

series195.0ms

simplify116.0ms

prune363.0ms

localize70.0ms

rewrite36.0ms

series208.0ms

simplify108.0ms

prune373.0ms

localize72.0ms

rewrite37.0ms

series210.0ms

simplify81.0ms

prune165.0ms

regimes6.5s

bsearch1.3min

simplify4.0ms

end0.0ms

analyze5.1s

sample22.6s

Profiling