Details

analyze2.5s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

sample318.0ms

Algorithm

intervals

Results

227.0ms	152×	body	1280	valid
54.0ms	62×	body	640	valid
14.0ms	17×	body	320	valid
3.0ms	9×	body	160	valid
3.0ms	16×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

prune16.0ms

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: 8.7b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos phi1) (sin phi2))
0.2b	(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
2.1b	(sin (- lambda1 lambda2))
2.2b	(cos (- lambda1 lambda2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cos-diff`
2×	`sub-neg` `*-commutative`
1×	`distribute-rgt-in` `cos-sum` `distribute-lft-in` `sin-sum` `associate-*l/` `sin-diff` `sin-cos-mult` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

4.0ms	(* (cos phi1) (sin phi2))
6.0ms	(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
3.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

series40.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (cos phi1) (sin phi2))
23.0ms	(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
5.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

simplify47.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5214	577

prune157.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	57	12	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	12	70

Merged error: 5.2b

Counts

70 → 12

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos phi1) (sin phi2))
0.2b	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
0.2b	(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
2.2b	(cos (- lambda1 lambda2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`cos-diff` `associate-l/` `-commutative`
2×	`unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `cos-sum` `flip3--` `distribute-lft-in` `sin-cos-mult` `flip--`

Counts

4 → 68

Calls

4 calls:

4.0ms	(* (cos phi1) (sin phi2))
6.0ms	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
6.0ms	(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
4.0ms	(cos (- lambda1 lambda2))

series65.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (cos phi1) (sin phi2))
28.0ms	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
22.0ms	(* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))
4.0ms	(cos (- lambda1 lambda2))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5104	860

prune155.0ms

Filtered

57 candidates to 80 candidates (-40.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos phi1) (sin phi2))
0.2b	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
0.2b	(* (sin lambda1) (* (sin lambda2) (* (sin phi1) (cos phi2))))
0.2b	(* (sin lambda2) (* (sin phi1) (cos phi2)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log` `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×	`*-commutative` `add-log-exp`
3×	`associate-*r/`
2×	`associate-*l/` `sin-cos-mult` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 79

Calls

4 calls:

4.0ms	(* (cos phi1) (sin phi2))
6.0ms	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
9.0ms	(* (sin lambda1) (* (sin lambda2) (* (sin phi1) (cos phi2))))
6.0ms	(* (sin lambda2) (* (sin phi1) (cos phi2)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (cos phi1) (sin phi2))
30.0ms	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
25.0ms	(* (sin lambda1) (* (sin lambda2) (* (sin phi1) (cos phi2))))
17.0ms	(* (sin lambda2) (* (sin phi1) (cos phi2)))

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4966	979
1	4966	979

prune172.0ms

Filtered

63 candidates to 91 candidates (-44.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	88	12	100

Merged error: 0.0b

Counts

100 → 12

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos lambda1) (* (cos lambda2) (* (sin phi1) (cos phi2))))
0.2b	(* (cos phi1) (sin phi2))
0.2b	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
3.9b	(log (pow (exp (sin lambda2)) (* (sin phi1) (cos phi2))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
17×	`pow1` `add-cbrt-cube`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`log-prod` `associate-r`
4×	`add-log-exp`
3×	`unpow-prod-down` `rem-log-exp` `*-commutative`
2×	`associate-r/` `associate-l/` `unswap-sqr`
1×	`pow-to-exp` `flip3--` `pow-exp` `log-pow` `sin-cos-mult` `flip--` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

8.0ms	(* (cos lambda1) (* (cos lambda2) (* (sin phi1) (cos phi2))))
4.0ms	(* (cos phi1) (sin phi2))
6.0ms	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
4.0ms	(log (pow (exp (sin lambda2)) (* (sin phi1) (cos phi2))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cos lambda1) (* (cos lambda2) (* (sin phi1) (cos phi2))))
9.0ms	(* (cos phi1) (sin phi2))
28.0ms	(* (- (* (cos lambda2) (sin lambda1)) (* (cos lambda1) (sin lambda2))) (cos phi2))
35.0ms	(log (pow (exp (sin lambda2)) (* (sin phi1) (cos phi2))))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5052	1017

prune101.0ms

Filtered

65 candidates to 90 candidates (-38.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

regimes749.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	46
1	36	46

end0.0ms

analyze2.5s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

sample8.9s

Algorithm

intervals

Results

6.6s	4595×	body	1280	valid
1.5s	1947×	body	640	valid
302.0ms	567×	body	320	valid
112.0ms	672×	body	80	valid
80.0ms	219×	body	160	valid

Details

analyze2.5s

sample318.0ms

simplify3.0ms

prune16.0ms

localize27.0ms

rewrite18.0ms

series40.0ms

simplify47.0ms

prune157.0ms

localize37.0ms

rewrite22.0ms

series65.0ms

simplify45.0ms

prune155.0ms

localize38.0ms

rewrite28.0ms

series81.0ms

simplify60.0ms

prune172.0ms

localize41.0ms

rewrite24.0ms

series100.0ms

simplify51.0ms

prune101.0ms

regimes749.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze2.5s

sample8.9s

Profiling