Details

sample684.0ms

Algorithm

intervals

Results

488.0ms

2264×

body

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

Filtered

1 candidates to 0 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: 26.7b

Counts

2 → 1

localize62.0ms

Local error

Found 4 expressions with local error:

8.1b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite44.0ms

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	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
15.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series660.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
165.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
160.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
165.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify223.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1084	1572
1	5001	1484

prune1.8s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	111	21	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	21	133

Merged error: 17.1b

Counts

133 → 21

localize71.0ms

Local error

Found 4 expressions with local error:

8.0b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

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

series646.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
161.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
161.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
162.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify39.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune2.0s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	128	25	153

Merged error: 15.5b

Counts

153 → 25

localize71.0ms

Local error

Found 4 expressions with local error:

9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite38.0ms

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:

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

series648.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
160.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
160.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
164.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify79.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	558	1572
1	2704	1452
2	5003	1452

prune2.1s

Filtered

132 candidates to 96 candidates (72.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	24	24
Picked	0	1	1
Done	0	0	0
Total	132	25	157

Merged error: 15.5b

Counts

157 → 25

localize75.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (- (* x y2) (* z y3)))
8.5b	(cbrt (- (* x y2) (* z y3)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

4.0ms	(cbrt (- (* x y2) (* z y3)))
3.0ms	(cbrt (- (* x y2) (* z y3)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series748.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (- (* x y2) (* z y3)))
291.0ms	(cbrt (- (* x y2) (* z y3)))
176.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
173.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify86.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	727	1074
1	3173	996
2	5003	984

prune1.3s

Filtered

98 candidates to 78 candidates (79.6%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	23	23
Picked	1	0	1
Done	0	1	1
Total	97	26	123

Merged error: 15.5b

Counts

123 → 26

regimes6.9s

Accuracy

-7.1% (11.8b remaining)

Error of 27.6b against oracle of 15.8b and baseline of 26.8b

bsearch1.2s

Steps

Iters	Range		Point
8	3.852672570949107e-282	4.466733141017369e-278	7.652871529164307e-279
5	-1.8175545873560942e-57	-6.276078473736923e-58	-9.224904566157962e-58

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	149	187
1	149	187

end0.0ms

sample22.0s

Algorithm

intervals

Results

16.4s

73848×

body

valid