Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	87×	body	1280	valid
0.0hr	62×	body	640	valid
0.0hr	38×	body	320	valid
0.0hr	60×	body	80	valid
0.0hr	10×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	12	5
1	16	5
2	20	5
3	21	5
4	21	5

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: 14.6b

Counts

2 → 1

localize0.0hr

Local error

Found 3 expressions with local error:

0.2b	(* r (/ (sin b) (cos (+ a b))))
0.2b	(/ (sin b) (cos (+ a b)))
3.3b	(cos (+ a b))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`cos-sum` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 67

Calls

3 calls:

0.0hr	(* r (/ (sin b) (cos (+ a b))))
0.0hr	(/ (sin b) (cos (+ a b)))
0.0hr	(cos (+ a b))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(* r (/ (sin b) (cos (+ a b))))
0.0hr	(/ (sin b) (cos (+ a b)))
0.0hr	(cos (+ a b))

simplify0.0hr

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	252	536
1	1064	480
2	5001	477

prune0.0hr

Filtered

76 candidates to 57 candidates (25.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	66	10	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	10	77

Merged error: 0.2b

Counts

77 → 10

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.2b	(* (sin a) (sin b))
0.2b	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.2b	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-r`
19×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `associate-/r/`
7×	`sin-mult`
6×	`associate-l` `cos-mult` `add-log-exp`
3×	`flip3--` `prod-exp` `associate-/r` `frac-sub` `flip--` `cbrt-unprod` `associate-/l` `sub-div` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-*r/` `clear-num`

Counts

4 → 100

Calls

4 calls:

0.0hr	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.0hr	(* (sin a) (sin b))
0.0hr	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.0hr	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.0hr	(* (sin a) (sin b))
0.0hr	(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.0hr	(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify0.0hr

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	405	1307
1	1761	1182
2	5002	1173

prune0.0hr

Filtered

112 candidates to 86 candidates (23.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	99	13	112
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	109	13	122

Merged error: 0.0b

Counts

122 → 13

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(* r (sin b))
0.1b	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.2b	(* (sin a) (sin b))
0.3b	(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`sin-mult`
4×	`associate-/r/` `cos-mult`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 76

Calls

4 calls:

0.0hr	(* r (sin b))
0.0hr	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.0hr	(* (sin a) (sin b))
0.0hr	(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* r (sin b))
0.0hr	(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.0hr	(* (sin a) (sin b))
0.0hr	(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))

simplify0.0hr

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	344	771
1	1513	674
2	5001	663

prune0.0hr

Filtered

88 candidates to 62 candidates (29.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Merged error: 0.0b

Counts

101 → 11

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b	(* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3)))))
0.2b	(/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
0.3b	(pow (* (sin a) (sin b)) 3)
28.4b	(cbrt (pow (* (sin a) (sin b)) 3))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
16×	`associate-r`
14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`cbrt-prod`
6×	`associate-/r/`
4×	`cube-div` `sin-mult` `add-log-exp`
3×	`pow-unpow` `cbrt-div` `associate-l` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `cube-mult` `unpow-prod-down` `flip3--` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `pow-exp` `cos-mult` `frac-sub` `flip--` `div-inv` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `frac-2neg` `pow1/3` `associate-r/` `clear-num` `-commutative` `rem-cbrt-cube`

Counts

4 → 106

Calls

4 calls:

0.0hr	(* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3)))))
0.0hr	(/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
0.0hr	(pow (* (sin a) (sin b)) 3)
0.0hr	(cbrt (pow (* (sin a) (sin b)) 3))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3)))))
0.0hr	(/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin a) (sin b)) 3))))
0.0hr	(pow (* (sin a) (sin b)) 3)
0.0hr	(cbrt (pow (* (sin a) (sin b)) 3))

simplify0.0hr

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	439	1400
1	1996	1222
2	5002	1212

prune0.0hr

Filtered

118 candidates to 90 candidates (23.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	118	11	129

Merged error: 0.0b

Counts

129 → 11

regimes0.0hr

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	2996×	body	1280	valid
0.0hr	1818×	body	640	valid
0.0hr	783×	body	320	valid
0.0hr	2091×	body	80	valid
0.0hr	313×	body	160	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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