Details

analyze2.1s (16.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1273	224
1	1273	224
0	4	4
1	4	4

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
9.4%	90.4%	0.2%	9
9.4%	90.4%	0.2%	10
10.9%	88.9%	0.2%	11
10.9%	88.9%	0.2%	12
10.9%	88.9%	0.2%	13
10.9%	88.9%	0.2%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample146.0ms (1.1%)

Algorithm

1×

intervals

Results

98.0ms	154×	body	1024	valid
16.0ms	43×	body	512	valid
5.0ms	22×	body	256	valid
5.0ms	4×	body	2048	valid
4.0ms	33×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

prune3.0ms (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

Error

0.5b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.2b	(sin.f64 (-.f64 lambda1 lambda2))
2.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite90.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

6×	`add-cube-cbrt_binary64_113` `cancel-sign-sub-inv_binary64_44` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78` `add-log-exp_binary64_117`
4×	`cos-sum_binary64_212` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sin-sum_binary64_211`
3×	`cos-diff_binary64_215`
2×	`sub-neg_binary64_71` `associate-+r+_binary64_10`
1×	`sin-diff_binary64_214` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `+-commutative_binary64_8`

Counts

4 → 44

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
0.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 1356 to 285 computations (79% saved)

series556.0ms (4.3%)

Error

0.4b

Counts

4 → 48

Calls

4 calls:

316.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
109.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
48.0ms	(sin.f64 (-.f64 lambda1 lambda2))
40.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2948 to 1475 computations (50% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5042	1743

prune117.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	10	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	10	93

Error

0.3b

Counts

93 → 10

Compiler

Compiled 2584 to 531 computations (79.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))
0.5b	(pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)
2.2b	(sin.f64 (-.f64 lambda1 lambda2))
2.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite99.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

9×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
6×	`cancel-sign-sub-inv_binary64_44` `add-log-exp_binary64_117`
5×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`cos-sum_binary64_212` `sin-sum_binary64_211`
3×	`unpow-prod-down_binary64_157` `pow-unpow_binary64_155` `cube-prod_binary64_106`
2×	`sub-neg_binary64_71`
1×	`cos-diff_binary64_215` `sin-diff_binary64_214` `pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `unpow3_binary64_144` `cube-mult_binary64_108` `rem-cube-cbrt_binary64_101` `sqr-pow_binary64_50` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

4 → 58

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
4.0ms	(pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)
4.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))

Compiler

Compiled 1870 to 666 computations (64.4% saved)

series564.0ms (4.4%)

Error

0.3b

Counts

4 → 44

Calls

4 calls:

300.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))
126.0ms	(pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)
51.0ms	(sin.f64 (-.f64 lambda1 lambda2))
44.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3044 to 1736 computations (43% saved)

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4933	1487
1	4933	1487

prune122.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	103	9	112

Error

0.3b

Counts

112 → 9

Compiler

Compiled 2974 to 960 computations (67.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
0.6b	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
2.2b	(sin.f64 (-.f64 lambda1 lambda2))
2.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite87.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

8×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
6×	`cancel-sign-sub-inv_binary64_44` `add-log-exp_binary64_117`
5×	`pow1_binary64_139`
4×	`cos-sum_binary64_212` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sin-sum_binary64_211` `log-pow_binary64_167` `log-prod_binary64_164`
3×	`exp-prod_binary64_130`
2×	`sub-neg_binary64_71`
1×	`cos-diff_binary64_215` `sin-diff_binary64_214` `exp-sum_binary64_124` `rem-log-exp_binary64_119` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

4 → 51

Calls

4 calls:

7.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
6.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1636 to 365 computations (77.7% saved)

series1.1s (9%)

Error

0.3b

Counts

4 → 54

Calls

4 calls:

697.0ms	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
304.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
52.0ms	(sin.f64 (-.f64 lambda1 lambda2))
45.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3691 to 1918 computations (48% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5003	1803

prune106.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	105	9	114

Error

0.3b

Counts

114 → 9

Compiler

Compiled 2973 to 622 computations (79.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(sin.f64 (-.f64 lambda1 lambda2))
2.2b	(sin.f64 (-.f64 lambda1 lambda2))
2.2b	(sin.f64 (-.f64 lambda1 lambda2))
2.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite91.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

12×	`cancel-sign-sub-inv_binary64_44` `sin-sum_binary64_211`
8×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`sub-neg_binary64_71` `cos-sum_binary64_212` `pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`sin-diff_binary64_214`
1×	`cos-diff_binary64_215`

Counts

4 → 48

Calls

4 calls:

8.0ms	(sin.f64 (-.f64 lambda1 lambda2))
7.0ms	(sin.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2016 to 372 computations (81.5% saved)

series236.0ms (1.8%)

Error

0.3b

Counts

4 → 38

Calls

4 calls:

52.0ms	(sin.f64 (-.f64 lambda1 lambda2))
48.0ms	(cos.f64 (-.f64 lambda1 lambda2))
47.0ms	(sin.f64 (-.f64 lambda1 lambda2))
46.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3524 to 1407 computations (60.1% saved)

simplify160.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4776	1007
1	4776	1007

prune94.0ms (0.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Error

0.3b

Counts

95 → 9

Compiler

Compiled 3217 to 427 computations (86.7% saved)

regimes869.0ms (6.8%)

Accuracy

Total 0.2b remaining (21.7%)

Threshold costs 0.2b (21.7%)

Compiler

Compiled 12082 to 7171 computations (40.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	44
1	61	44

end0.0ms (0%)

sample5.8s (45.6%)

Algorithm

1×

intervals

Results

2.9s	4534×	body	1024	valid
668.0ms	1697×	body	512	valid
188.0ms	130×	body	2048	valid
171.0ms	689×	body	256	valid
113.0ms	950×	body	128	valid

Compiler

Compiled 1766 to 1052 computations (40.4% saved)

Details

analyze2.1s (16.6%)

sample146.0ms (1.1%)

simplify27.0ms (0.2%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite90.0ms (0.7%)

series556.0ms (4.3%)

simplify70.0ms (0.5%)

prune117.0ms (0.9%)

localize19.0ms (0.2%)

rewrite99.0ms (0.8%)

series564.0ms (4.4%)

simplify97.0ms (0.8%)

prune122.0ms (1%)

localize20.0ms (0.2%)

rewrite87.0ms (0.7%)

series1.1s (9%)

simplify75.0ms (0.6%)

prune106.0ms (0.8%)

localize21.0ms (0.2%)

rewrite91.0ms (0.7%)

series236.0ms (1.8%)

simplify160.0ms (1.3%)

prune94.0ms (0.7%)

regimes869.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.8s (45.6%)

Profiling