Details

analyze2.1s (15.3%)

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%)

Algorithm

1×

intervals

Results

94.0ms	146×	body	1024	valid
19.0ms	48×	body	512	valid
8.0ms	28×	body	256	valid
4.0ms	31×	body	128	valid
4.0ms	3×	body	2048	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

prune8.0ms (0.1%)

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

1.2b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize17.0ms (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)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.8b	(sin.f64 (-.f64 lambda1 lambda2))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite86.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

6×	`add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419` `add-log-exp_binary64_458`
4×	`cos-sum_binary64_553` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sin-sum_binary64_552`
3×	`cos-diff_binary64_556`
2×	`sub-neg_binary64_412` `associate-+r+_binary64_351`
1×	`sin-diff_binary64_555` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `+-commutative_binary64_349`

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))))
4.0ms	(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)

series597.0ms (4.3%)

Error

1.1b

Counts

4 → 54

Calls

4 calls:

332.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
99.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
58.0ms	(cos.f64 (-.f64 lambda1 lambda2))
51.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3377 to 1672 computations (50.5% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5131	1885

prune132.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	84	14	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	14	99

Error

0.9b

Counts

99 → 14

Compiler

Compiled 2875 to 652 computations (77.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite86.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`cos-sum_binary64_553`
3×	`cos-diff_binary64_556` `cancel-sign-sub-inv_binary64_385` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`associate-+r+_binary64_351`
1×	`sub-neg_binary64_412` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `+-commutative_binary64_349` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 50

Calls

4 calls:

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

Compiler

Compiled 1857 to 334 computations (82% saved)

series719.0ms (5.2%)

Error

0.7b

Counts

4 → 54

Calls

4 calls:

352.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
142.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
106.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
58.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4361 to 2174 computations (50.1% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5237	2210

prune132.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	107	11	118

Error

0.1b

Counts

118 → 11

Compiler

Compiled 3714 to 693 computations (81.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite93.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_441`
8×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`associate-+r+_binary64_351` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `+-commutative_binary64_349` `sin-mult_binary64_574`

Counts

4 → 57

Calls

4 calls:

7.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
4.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
0.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

Compiler

Compiled 2538 to 380 computations (85% saved)

series1.2s (8.4%)

Error

0.1b

Counts

4 → 53

Calls

4 calls:

716.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
181.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
105.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
102.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5495 to 2408 computations (56.2% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4971	2985
1	4971	2985

prune148.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	110	11	121

Error

0.1b

Counts

121 → 11

Compiler

Compiled 4712 to 790 computations (83.2% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (-.f64 lambda1 lambda2))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite103.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`cos-sum_binary64_553` `cancel-sign-sub-inv_binary64_385`
8×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
4×	`sub-neg_binary64_412` `pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sin-sum_binary64_552`
3×	`cos-diff_binary64_556`
1×	`sin-diff_binary64_555`

Counts

4 → 48

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2784 to 625 computations (77.6% saved)

series313.0ms (2.2%)

Error

0.1b

Counts

4 → 40

Calls

4 calls:

69.0ms	(cos.f64 (-.f64 lambda1 lambda2))
67.0ms	(cos.f64 (-.f64 lambda1 lambda2))
62.0ms	(sin.f64 (-.f64 lambda1 lambda2))
57.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5424 to 2193 computations (59.6% saved)

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4960	1037
1	4960	1037

prune128.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	88	11	99

Error

0.1b

Counts

99 → 11

Compiler

Compiled 4702 to 974 computations (79.3% saved)

regimes1.2s (8.5%)

Accuracy

Total 0.1b remaining (60.1%)

Threshold costs 0.1b (60.1%)

Compiler

Compiled 16828 to 10328 computations (38.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	56
1	57	56

end0.0ms (0%)

sample6.3s (45.4%)

Algorithm

1×

intervals

Results

2.8s	4470×	body	1024	valid
679.0ms	1716×	body	512	valid
176.0ms	681×	body	256	valid
170.0ms	126×	body	2048	valid
134.0ms	1007×	body	128	valid

Compiler

Compiled 2451 to 1504 computations (38.6% saved)

Details

analyze2.1s (15.3%)

sample146.0ms (1%)

simplify27.0ms (0.2%)

prune8.0ms (0.1%)

localize17.0ms (0.1%)

rewrite86.0ms (0.6%)

series597.0ms (4.3%)

simplify78.0ms (0.6%)

prune132.0ms (0.9%)

localize26.0ms (0.2%)

rewrite86.0ms (0.6%)

series719.0ms (5.2%)

simplify78.0ms (0.6%)

prune132.0ms (1%)

localize24.0ms (0.2%)

rewrite93.0ms (0.7%)

series1.2s (8.4%)

simplify73.0ms (0.5%)

prune148.0ms (1.1%)

localize27.0ms (0.2%)

rewrite103.0ms (0.7%)

series313.0ms (2.2%)

simplify75.0ms (0.5%)

prune128.0ms (0.9%)

regimes1.2s (8.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.3s (45.4%)

Profiling