Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample92.0ms

Algorithm

intervals

Results

27.0ms	350×	body	80	invalid
20.0ms	256×	body	80	valid

simplify316.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (314.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune12.0ms

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: 11.3b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
2.9b	(* b (- (* c z) (* t i)))
5.4b	(* j (- (* c a) (* y i)))
6.8b	(* x (- (* y z) (* t a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

4.0ms	(- (* y z) (* t a))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* y z) (* t a))
21.0ms	(* b (- (* c z) (* t i)))
19.0ms	(* j (- (* c a) (* y i)))
19.0ms	(* x (- (* y z) (* t a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune249.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	20	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 5.0b

Counts

90 → 20

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b	(* b (- (* c z) (* t i)))
5.4b	(* j (- (* c a) (* y i)))
6.1b	(* x (* t (neg a)))
6.4b	(* x (* y z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (* t (neg a)))
5.0ms	(* x (* y z))

series50.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* b (- (* c z) (* t i)))
19.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (* t (neg a)))
6.0ms	(* x (* y z))

simplify38.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5194	786

prune206.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	94	19	113

Merged error: 2.0b

Counts

113 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

2.9b	(* b (- (* c z) (* t i)))
3.6b	(* (* x y) z)
5.4b	(* j (- (* c a) (* y i)))
6.1b	(* x (* t (neg a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* (* x y) z)
8.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (* t (neg a)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* (* x y) z)
19.0ms	(* j (- (* c a) (* y i)))
7.0ms	(* x (* t (neg a)))

simplify34.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5011	787

prune203.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	6	12	18
Picked	1	0	1
Done	0	0	0
Total	93	19	112

Merged error: 1.5b

Counts

112 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

2.9b	(* b (- (* c z) (* t i)))
3.5b	(* x (* y (* (cbrt z) (cbrt z))))
5.4b	(* j (- (* c a) (* y i)))
6.1b	(* x (* t (neg a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

7.0ms	(* b (- (* c z) (* t i)))
11.0ms	(* x (* y (* (cbrt z) (cbrt z))))
6.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (* t (neg a)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* x (* y (* (cbrt z) (cbrt z))))
18.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (* t (neg a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5174	894

prune88.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	96	19	115

Merged error: 1.5b

Counts

115 → 19

regimes1.9s

Accuracy

8.3% (9.3b remaining)

Error of 10.9b against oracle of 1.7b and baseline of 11.7b

bsearch220.0ms

Steps

Iters	Range		Point
10	1.9233544756603238e+96	2.1504173981596727e+107	4.5158651535268426e+105
8	1.0064176032495084e-197	5.710802623487701e-195	2.024234916810656e-195
8	-1.1317384437036327e-197	-6.1240754586284045e-202	-4.675544654658787e-199
7	-4.302947539076743e+29	-2.4656914275178556e+27	-2.96095025944021e+29

simplify28.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	1287	182
1	1287	182

end0.0ms

sample2.5s

Algorithm

intervals

Results

893.0ms	10964×	body	80	invalid
632.0ms	8000×	body	80	valid

Details

analyze2.0s

sample92.0ms

simplify316.0ms

prune12.0ms

localize24.0ms

rewrite23.0ms

series69.0ms

simplify44.0ms

prune249.0ms

localize25.0ms

rewrite25.0ms

series50.0ms

simplify38.0ms

prune206.0ms

localize22.0ms

rewrite26.0ms

series49.0ms

simplify34.0ms

prune203.0ms

localize26.0ms

rewrite32.0ms

series69.0ms

simplify42.0ms

prune88.0ms

regimes1.9s

bsearch220.0ms

simplify28.0ms

end0.0ms

sample2.5s

Profiling