Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	105×	body	2560	valid
0.0hr	74×	body	1280	valid
0.0hr	262×	body	80	nan
0.0hr	45×	body	640	valid
0.0hr	14×	body	320	valid
0.0hr	10×	body	160	valid
0.0hr	8×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	19	7
1	42	7
2	77	7
3	146	7
4	242	7
5	417	7
6	2789	7
7	5002	7

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.5b

Counts

2 → 1

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

0.0hr	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0hr	(* 5.0 (* v v))
0.0hr	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0hr	(* 5.0 (* v v))
0.0hr	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify0.0hr

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	336	587
1	1261	535
2	5002	531

prune0.0hr

Filtered

72 candidates to 55 candidates (23.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.5b

Counts

73 → 3

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
68×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
12×	`difference-of-squares`
9×	`pow1` `associate-/r/`
7×	`div-exp`
5×	`div-inv`
4×	`flip3--` `flip--`
3×	`cbrt-undiv` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`rec-exp` `1-exp`
1×	`acos-asin` `pow-flip` `frac-2neg` `associate-r` `clear-num` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

0.0hr	(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
0.0hr	(* 5.0 (* v v))
0.0hr	(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))
0.0hr	(* 5.0 (* v v))
0.0hr	(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))

simplify0.0hr

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	591	1564
1	2661	1407
2	5002	1303

prune0.0hr

Filtered

132 candidates to 67 candidates (49.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	132	3	135

Merged error: 0.5b

Counts

135 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

0.0b	(+ (pow v 2) (pow v 4))
0.0b	(- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)
0.0b	(* 4.0 (+ (pow v 2) (pow v 4)))
0.5b	(acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

0.0hr	(+ (pow v 2) (pow v 4))
0.0hr	(- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)
0.0hr	(* 4.0 (+ (pow v 2) (pow v 4)))
0.0hr	(acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(+ (pow v 2) (pow v 4))
0.0hr	(- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0)
0.0hr	(* 4.0 (+ (pow v 2) (pow v 4)))
0.0hr	(acos (- (* 4.0 (+ (pow v 2) (pow v 4))) 1.0))

simplify0.0hr

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	222	434
1	995	393
2	5001	386

prune0.0hr

Filtered

69 candidates to 46 candidates (33.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Merged error: 0.5b

Counts

72 → 3

localize0.0hr

Local error

Found 4 expressions with local error:

0.5b	(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))
0.9b	(sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))))
0.9b	(sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))))
1.0b	(* (sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))) (sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

0.0hr	(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))
0.0hr	(sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))))
0.0hr	(sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))))
0.0hr	(* (sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))) (sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))
0.0hr	(sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))))
0.0hr	(sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v)))))))
0.0hr	(* (sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))) (sqrt (acos (/ 1 (/ (- (* v v) 1.0) (- 1.0 (* 5.0 (* v v))))))))

simplify0.0hr

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	128	1110
1	470	982
2	2666	903
3	5001	860

prune0.0hr

Filtered

95 candidates to 56 candidates (41.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	92	6	98

Merged error: 0.5b

Counts

98 → 6

regimes0.0hr

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3019×	body	2560	valid
0.0hr	2514×	body	1280	valid
0.0hr	8179×	body	80	nan
0.0hr	1254×	body	640	valid
0.0hr	629×	body	320	valid
0.0hr	380×	body	160	valid
0.0hr	204×	body	80	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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