Details

analyze2.0s (17%)

Algorithm

1×

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)

sample169.0ms (1.4%)

Algorithm

1×

intervals

Results

119.0ms	148×	body	1024	valid
22.0ms	50×	body	512	valid
6.0ms	3×	body	2048	valid
5.0ms	19×	body	256	valid
5.0ms	36×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify191.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	211	32
1	211	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

Merged error: 1.4b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize21.0ms (0.2%)

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))))
3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `cancel-sign-sub-inv_binary64_389` `add-sqr-sqrt_binary64_445` `add-log-exp_binary64_462`
4×	`cos-sum_binary64_557` `pow1_binary64_484` `sin-sum_binary64_556` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`cos-diff_binary64_560`
2×	`sub-neg_binary64_416` `associate-+r+_binary64_355`
1×	`distribute-rgt-in_binary64_373` `distribute-lft-in_binary64_372` `flip-+_binary64_397` `+-commutative_binary64_353` `flip3-+_binary64_426` `sin-diff_binary64_559` `sum-log_binary64_514`

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))
1.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

series374.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
72.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
32.0ms	(sin.f64 (-.f64 lambda1 lambda2))
31.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4992	1058
1	4992	1058

prune358.0ms (3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	44	12	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	12	57

Merged error: 1.1b

Counts

57 → 12

Compiler

Compiled 6809 to 3535 computations (48.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
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))))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_445`
7×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
6×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462`
5×	`cancel-sign-sub-inv_binary64_389`
4×	`cos-sum_binary64_557`
3×	`distribute-rgt-in_binary64_373` `sub-neg_binary64_416` `distribute-lft-in_binary64_372` `associate-l_binary64_364` `cos-diff_binary64_560` `associate-r_binary64_363`
2×	`associate-+r+_binary64_355` `associate-*r/_binary64_365`
1×	`pow-prod-down_binary64_494` `flip-+_binary64_397` `prod-exp_binary64_472` `+-commutative_binary64_353` `flip3--_binary64_427` `*-commutative_binary64_354` `flip3-+_binary64_426` `flip--_binary64_398` `unswap-sqr_binary64_391` `sum-log_binary64_514` `cbrt-unprod_binary64_456`

Counts

4 → 56

Calls

4 calls:

9.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
7.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	(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)))))

series615.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

281.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
223.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
82.0ms	(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)))))
29.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4933	1723
1	4933	1723

prune150.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Merged error: 0.1b

Counts

80 → 10

Compiler

Compiled 3739 to 1065 computations (71.5% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_445`
8×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
6×	`associate-l_binary64_364` `associate-r_binary64_363` `add-log-exp_binary64_462`
2×	`pow-prod-down_binary64_494` `distribute-rgt-in_binary64_373` `sub-neg_binary64_416` `distribute-lft-in_binary64_372` `cancel-sign-sub-inv_binary64_389` `prod-exp_binary64_472` `associate-r/_binary64_365` `-commutative_binary64_354` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`
1×	`flip-+_binary64_397` `sin-mult_binary64_578` `+-commutative_binary64_353` `flip3--_binary64_427` `flip3-+_binary64_426` `flip--_binary64_398` `sum-log_binary64_514`

Counts

4 → 61

Calls

4 calls:

9.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)))
1.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2))) (.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2))))

series680.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
228.0ms	(+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2)))
112.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (+.f64 (cos.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (cos.f64 phi2))) (.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi2))))
69.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4989	1901
1	4989	1901

prune167.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	73	10	83

Merged error: 0.1b

Counts

83 → 10

Compiler

Compiled 4725 to 1162 computations (75.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
0.7b	(log.f64 (exp.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
3.2b	(sin.f64 (-.f64 lambda1 lambda2))
3.2b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
6×	`cancel-sign-sub-inv_binary64_389` `add-log-exp_binary64_462`
5×	`pow1_binary64_484`
4×	`cos-sum_binary64_557` `sin-sum_binary64_556` `log-pow_binary64_512` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `log-prod_binary64_509`
3×	`exp-prod_binary64_475`
2×	`sub-neg_binary64_416`
1×	`flip-+_binary64_397` `exp-sum_binary64_469` `+-commutative_binary64_353` `cos-diff_binary64_560` `flip3-+_binary64_426` `rem-log-exp_binary64_464` `sin-diff_binary64_559` `sum-log_binary64_514`

Counts

4 → 51

Calls

4 calls:

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

series649.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

378.0ms	(log.f64 (exp.f64 (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
212.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
34.0ms	(sin.f64 (-.f64 lambda1 lambda2))
25.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4873	1076
1	4873	1076

prune78.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	62	11	73

Merged error: 0.1b

Counts

73 → 11

Compiler

Compiled 2093 to 499 computations (76.2% saved)

regimes181.0ms (1.5%)

Compiler: Compiled 2158 to 1240 computations (42.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	61
1	59	61

end0.0ms (0%)

sample5.6s (47.5%)

Algorithm

1×

intervals

Results

3.4s	4370×	body	1024	valid
778.0ms	1792×	body	512	valid
403.0ms	712×	body	256	valid
209.0ms	113×	body	2048	valid
143.0ms	1013×	body	128	valid

Compiler

Compiled 415 to 239 computations (42.4% saved)

Details

analyze2.0s (17%)

sample169.0ms (1.4%)

simplify191.0ms (1.6%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite20.0ms (0.2%)

series374.0ms (3.2%)

simplify87.0ms (0.7%)

prune358.0ms (3%)

localize30.0ms (0.3%)

rewrite29.0ms (0.3%)

series615.0ms (5.2%)

simplify78.0ms (0.7%)

prune150.0ms (1.3%)

localize30.0ms (0.3%)

rewrite28.0ms (0.2%)

series680.0ms (5.8%)

simplify67.0ms (0.6%)

prune167.0ms (1.4%)

localize25.0ms (0.2%)

rewrite26.0ms (0.2%)

series649.0ms (5.5%)

simplify119.0ms (1%)

prune78.0ms (0.7%)

regimes181.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.6s (47.5%)

Profiling