Details

analyze2.1s

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

sample78.0ms

Algorithm

intervals

Results

23.0ms	286×	body	80	invalid
21.0ms	256×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

prune18.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 13.0b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
4.8b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* z c) (* t i)))
6.8b	(* j (- (* a c) (* y i)))

rewrite22.0ms

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:

3.0ms	(- (* y z) (* t a))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (- (* z c) (* t i)))
6.0ms	(* j (- (* a c) (* y i)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* y z) (* t a))
18.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* b (- (* z c) (* t i)))
18.0ms	(* j (- (* a c) (* y i)))

simplify39.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5023	937

prune227.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Merged error: 5.4b

Counts

90 → 17

localize24.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (- (* a c) (* y i)) (cbrt j))
3.8b	(* (* (cbrt j) (cbrt j)) (* (- (* a c) (* y i)) (cbrt j)))
4.8b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* z c) (* t i)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

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

series101.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- (* a c) (* y i)) (cbrt j))
26.0ms	(* (* (cbrt j) (cbrt j)) (* (- (* a c) (* y i)) (cbrt j)))
18.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* z c) (* t i)))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4988	1126
1	4988	1126

prune221.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	102	19	121

Merged error: 5.4b

Counts

121 → 19

localize25.0ms

Local error

Found 4 expressions with local error:

6.8b	(* j (- (* a c) (* y i)))
8.3b	(cbrt (* j (- (* a c) (* y i))))
8.3b	(cbrt (* j (- (* a c) (* y i))))
8.3b	(cbrt (* j (- (* a c) (* y i))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

6.0ms	(* j (- (* a c) (* y i)))
5.0ms	(cbrt (* j (- (* a c) (* y i))))
4.0ms	(cbrt (* j (- (* a c) (* y i))))
4.0ms	(cbrt (* j (- (* a c) (* y i))))

series147.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* j (- (* a c) (* y i)))
43.0ms	(cbrt (* j (- (* a c) (* y i))))
42.0ms	(cbrt (* j (- (* a c) (* y i))))
44.0ms	(cbrt (* j (- (* a c) (* y i))))

simplify54.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5331	816

prune208.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	66	20	86

Merged error: 5.4b

Counts

86 → 20

localize31.0ms

Local error

Found 4 expressions with local error:

6.8b	(* j (- (* a c) (* y i)))
8.3b	(cbrt (* (* (cbrt j) (cbrt j)) (* (- (* a c) (* y i)) (cbrt j))))
8.3b	(cbrt (* j (- (* a c) (* y i))))
8.3b	(cbrt (* j (- (* a c) (* y i))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

6.0ms	(* j (- (* a c) (* y i)))
10.0ms	(cbrt (* (* (cbrt j) (cbrt j)) (* (- (* a c) (* y i)) (cbrt j))))
4.0ms	(cbrt (* j (- (* a c) (* y i))))
4.0ms	(cbrt (* j (- (* a c) (* y i))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* j (- (* a c) (* y i)))
42.0ms	(cbrt (* (* (cbrt j) (cbrt j)) (* (- (* a c) (* y i)) (cbrt j))))
41.0ms	(cbrt (* j (- (* a c) (* y i))))
43.0ms	(cbrt (* j (- (* a c) (* y i))))

simplify77.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5078	811

prune79.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	67	20	87

Merged error: 5.4b

Counts

87 → 20

regimes2.1s

Accuracy

40.3% (4.9b remaining)

Error of 9.0b against oracle of 4.0b and baseline of 12.3b

bsearch9.4s

Steps

Iters	Range		Point
8	2.6632439859592016e+17	2.1313776209485473e+20	6.122062468061031e+18
8	-2.0168589244321016e+52	-5.388826567535455e+48	-4.272170313328953e+49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	73
1	90	73

end0.0ms

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

sample2.6s

Algorithm

intervals

Results

946.0ms	11043×	body	80	invalid
690.0ms	8000×	body	80	valid

Details

analyze2.1s

sample78.0ms

simplify3.0ms

prune18.0ms

localize20.0ms

rewrite22.0ms

series67.0ms

simplify39.0ms

prune227.0ms

localize24.0ms

rewrite34.0ms

series101.0ms

simplify49.0ms

prune221.0ms

localize25.0ms

rewrite21.0ms

series147.0ms

simplify54.0ms

prune208.0ms

localize31.0ms

rewrite26.0ms

series143.0ms

simplify77.0ms

prune79.0ms

regimes2.1s

bsearch9.4s

simplify2.0ms

end0.0ms

analyze2.0s

sample2.6s

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