Details

analyze3.0s (16.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	273
1	1713	273
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
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

Compiler

Compiled 25 to 18 computations (28% saved)

sample225.0ms (1.2%)

Algorithm

1×

intervals

Results

163.0ms	173×	body	1024	valid
21.0ms	39×	body	512	valid
15.0ms	8×	body	2048	valid
5.0ms	14×	body	256	valid
4.0ms	22×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune4.0ms (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

Error

13.0b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0b	(sin.f64 (-.f64 lambda1 lambda2))
2.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite129.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

11×	`add-sqr-sqrt_binary64_1805` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`cancel-sign-sub-inv_binary64_1749` `associate-r_binary64_1723`
4×	`cos-sum_binary64_1917` `add-log-exp_binary64_1822` `sin-sum_binary64_1916` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
3×	`cos-diff_binary64_1920`
2×	`sub-neg_binary64_1776` `sin-cos-mult_binary64_1939` `*-commutative_binary64_1714`
1×	`sin-diff_binary64_1919` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*l/_binary64_1726` `unswap-sqr_binary64_1751`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2042 to 375 computations (81.6% saved)

series718.0ms (3.9%)

Error

10.2b

Counts

4 → 56

Calls

4 calls:

412.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
118.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
61.0ms	(cos.f64 (-.f64 lambda1 lambda2))
52.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4233 to 2028 computations (52.1% saved)

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4947	1939
1	4947	1939

prune172.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	105	15	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	15	121

Error

6.2b

Counts

121 → 15

Compiler

Compiled 3939 to 877 computations (77.7% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite119.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_1805`
13×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`associate-r_binary64_1723`
7×	`associate-l_binary64_1724`
5×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`cos-sum_binary64_1917` `add-log-exp_binary64_1822`
3×	`cos-diff_binary64_1920` `cancel-sign-sub-inv_binary64_1749` `*-commutative_binary64_1714`
2×	`sin-cos-mult_binary64_1939` `unswap-sqr_binary64_1751`
1×	`sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*l/_binary64_1726`

Counts

4 → 70

Calls

4 calls:

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

Compiler

Compiled 2672 to 418 computations (84.4% saved)

series705.0ms (3.8%)

Error

5.9b

Counts

4 → 45

Calls

4 calls:

389.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
112.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
107.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
45.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4231 to 2107 computations (50.2% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4942	1608
1	4942	1608

prune155.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	121	9	130

Error

0.1b

Counts

130 → 9

Compiler

Compiled 4321 to 719 computations (83.4% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
0.2b	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
0.2b	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
0.3b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

rewrite147.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

25×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
13×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805`
10×	`associate-l_binary64_1724`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `*-commutative_binary64_1714`
2×	`sin-mult_binary64_1938` `unswap-sqr_binary64_1751`
1×	`associate-*r/_binary64_1725`

Counts

4 → 78

Calls

4 calls:

9.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
6.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 3974 to 509 computations (87.2% saved)

series1.0s (5.4%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

470.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
279.0ms	(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
104.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
98.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 5746 to 2414 computations (58% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4992	1755
1	4992	1755

prune174.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Error

0.1b

Counts

131 → 8

Compiler

Compiled 6047 to 827 computations (86.3% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.3b	(cbrt.f64 (cos.f64 lambda1))
0.3b	(cbrt.f64 (cos.f64 lambda1))
0.3b	(cbrt.f64 (cos.f64 lambda1))

rewrite91.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`add-sqr-sqrt_binary64_1805`
9×	`add-cube-cbrt_binary64_1818` `cbrt-prod_binary64_1814` `*-un-lft-identity_binary64_1783`
6×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`add-log-exp_binary64_1822`
3×	`pow1/3_binary64_1865` `associate-l_binary64_1724` `associate-r_binary64_1723`
1×	`sin-mult_binary64_1938` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`

Counts

4 → 52

Calls

4 calls:

5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
1.0ms	(cbrt.f64 (cos.f64 lambda1))
1.0ms	(cbrt.f64 (cos.f64 lambda1))
1.0ms	(cbrt.f64 (cos.f64 lambda1))

Compiler

Compiled 3028 to 400 computations (86.8% saved)

series369.0ms (2%)

Error

0.1b

Counts

4 → 20

Calls

4 calls:

106.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
81.0ms	(cbrt.f64 (cos.f64 lambda1))
78.0ms	(cbrt.f64 (cos.f64 lambda1))
75.0ms	(cbrt.f64 (cos.f64 lambda1))

Compiler

Compiled 3037 to 1295 computations (57.4% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5209	618

prune102.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Error

0.1b

Counts

80 → 8

Compiler

Compiled 4043 to 457 computations (88.7% saved)

regimes1.6s (8.5%)

Accuracy

Total 0.1b remaining (55.2%)

Threshold costs 0.1b (55.2%)

Compiler

Compiled 22546 to 14530 computations (35.6% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	148	73
1	148	73

end0.0ms (0%)

sample9.4s (50.6%)

Algorithm

1×

intervals

Results

4.8s	5401×	body	1024	valid
675.0ms	1229×	body	512	valid
373.0ms	196×	body	2048	valid
147.0ms	416×	body	256	valid
140.0ms	758×	body	128	valid

Compiler

Compiled 3615 to 2329 computations (35.6% saved)

Details

analyze3.0s (16.1%)

sample225.0ms (1.2%)

simplify23.0ms (0.1%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite129.0ms (0.7%)

series718.0ms (3.9%)

simplify106.0ms (0.6%)

prune172.0ms (0.9%)

localize28.0ms (0.1%)

rewrite119.0ms (0.6%)

series705.0ms (3.8%)

simplify88.0ms (0.5%)

prune155.0ms (0.8%)

localize30.0ms (0.2%)

rewrite147.0ms (0.8%)

series1.0s (5.4%)

simplify76.0ms (0.4%)

prune174.0ms (0.9%)

localize39.0ms (0.2%)

rewrite91.0ms (0.5%)

series369.0ms (2%)

simplify69.0ms (0.4%)

prune102.0ms (0.5%)

regimes1.6s (8.5%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample9.4s (50.6%)

Profiling