Details

analyze3.9s (19.1%)

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
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 29 to 18 computations (37.9% saved)

sample305.0ms (1.5%)

Algorithm

1×

intervals

Results

218.0ms	158×	body	1024	valid
33.0ms	49×	body	512	valid
24.0ms	8×	body	2048	valid
7.0ms	16×	body	256	valid
5.0ms	25×	body	128	valid

Compiler

Compiled 61 to 39 computations (36.1% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

83×	`cancel-sign-sub-inv_binary64`
59×	`distribute-rgt-neg-in_binary64`
56×	`sub-neg_binary64`
47×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

prune5.0ms (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

12.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 84 to 51 computations (39.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))
3.5b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite119.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

Rules

11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
11×	`pow1_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`

Counts

4 → 64

Calls

4 calls:

6.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
3.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1942 to 357 computations (81.6% saved)

series170.0ms (0.8%)

Error

9.6b

Counts

4 → 52

Calls

4 calls:

67.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
22.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
18.0ms	(sin.f64 (-.f64 lambda1 lambda2))
17.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3806 to 1906 computations (49.9% saved)

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

492×	`distribute-rgt-neg-in_binary64`
462×	`cancel-sign-sub-inv_binary64`
426×	`distribute-lft-neg-in_binary64`
403×	`neg-mul-1_binary64`
376×	`neg-sub0_binary64`

Counts

116 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	2096
1	562	1889
2	1710	1774
3	2975	1726
4	4652	1726
5	4985	1726

prune101.0ms (0.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	62	14	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	14	77

Error

6.1b

Counts

77 → 14

Alt Table

Status	Error	Program
	14.9b	(atan2.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) 3)) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
	17.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))))
	12.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (cbrt.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))) (cbrt.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))))
▶	6.5b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	20.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (+.f64 phi1 phi2)))) 2)))
	13.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))
	12.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	20.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 (pow.f64 phi1 3) -1/6))))))
	22.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))
	29.0b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (+.f64 -1 (.f64 1/2 (.f64 lambda1 lambda1)))) (.f64 (cos.f64 lambda2) (-.f64 lambda1 (.f64 1/6 (pow.f64 lambda1 3))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	25.7b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 2591 to 957 computations (63.1% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
3.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite121.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
13×	`pow1_binary64`
10×	`*-un-lft-identity_binary64`

Counts

4 → 70

Calls

4 calls:

6.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
3.0ms	(cos.f64 (-.f64 lambda1 lambda2))
3.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 2478 to 390 computations (84.3% saved)

series178.0ms (0.9%)

Error

5.9b

Counts

4 → 47

Calls

4 calls:

63.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
23.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
20.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
18.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4193 to 2182 computations (48% saved)

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

471×	`distribute-rgt-neg-in_binary64`
406×	`distribute-lft-neg-in_binary64`
353×	`neg-mul-1_binary64`
341×	`cancel-sign-sub-inv_binary64`
315×	`associate-r_binary64`

Counts

117 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	1987
1	534	1765
2	1664	1671
3	2745	1642
4	4824	1642
5	4967	1642

prune106.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	11	2	13
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Error

0.1b

Counts

90 → 6

Alt Table

Status	Error	Program
	14.9b	(atan2.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) 3)) (cos.f64 (-.f64 lambda1 lambda2)))))
	6.5b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3)))))
▶	0.2b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	6.6b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (cbrt.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (cbrt.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (cos.f64 (-.f64 lambda1 lambda2)))))
	7.4b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))

Compiler

Compiled 2335 to 624 computations (73.3% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite227.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

17×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
15×	`add-exp-log_binary64`
15×	`pow1_binary64`
12×	`associate-r_binary64`

Counts

4 → 83

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
4.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
3.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 3590 to 490 computations (86.4% saved)

series256.0ms (1.3%)

Error

0.1b

Counts

4 → 55

Calls

4 calls:

113.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
31.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
27.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
25.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))

Compiler

Compiled 5905 to 2737 computations (53.6% saved)

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

658×	`associate-r_binary64`
620×	`associate-l_binary64`
452×	`distribute-rgt-neg-in_binary64`
404×	`distribute-lft-neg-in_binary64`
312×	`*-commutative_binary64`

Counts

138 → 93

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	341	3477
1	982	3148
2	3682	3148
3	4958	3148

prune194.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Error

0.1b

Counts

99 → 8

Alt Table

Status	Error	Program
	14.9b	(atan2.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	1.1b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (log.f64 (exp.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	9.9b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (.f64 (+.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (+.f64 phi1 phi2))) (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3))) (.f64 2 (+.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (-.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))))))
	1.2b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (exp.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
▶	0.2b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 1 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	0.3b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (cbrt.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (cbrt.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	0.2b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) 3)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	7.4b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))

Compiler

Compiled 4106 to 1072 computations (73.9% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.3b	(.f64 (.f64 1 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite233.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

24×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
19×	`pow1_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`prod-exp_binary64`

Counts

4 → 83

Calls

4 calls:

13.0ms	(.f64 (.f64 1 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
4.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
4.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
3.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 3665 to 683 computations (81.4% saved)

series271.0ms (1.3%)

Error

0.1b

Counts

4 → 55

Calls

4 calls:

116.0ms	(.f64 (.f64 1 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
31.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
29.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
25.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 6087 to 2903 computations (52.3% saved)

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-r_binary64`
609×	`associate-l_binary64`
426×	`distribute-rgt-neg-in_binary64`
383×	`distribute-lft-neg-in_binary64`
300×	`neg-mul-1_binary64`

Counts

138 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	3421
1	924	3038
2	3429	2941
3	4791	2941
4	5055	2941

prune160.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Error

0.1b

Counts

103 → 8

Alt Table

Status	Error	Program
	0.2b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 1 (.f64 (.f64 (cbrt.f64 (cos.f64 phi2)) (cbrt.f64 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (cbrt.f64 (cos.f64 phi2))))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	1.1b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (log.f64 (exp.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	14.9b	(atan2.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 lambda1 lambda2)) 3)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	1.1b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (.f64 (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cos.f64 phi2)))))))
	1.2b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (exp.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
	0.3b	(atan2.f64 (.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (cbrt.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (cbrt.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)))) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 1 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	0.2b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) 3)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	7.4b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))

Compiler

Compiled 3832 to 984 computations (74.3% saved)

regimes2.9s (14.5%)

Accuracy

Total 0.1b remaining (42.8%)

Threshold costs 0.1b (42.8%)

Compiler

Compiled 74083 to 42927 computations (42.1% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
15×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	44	63
2	62	63
3	80	63
4	96	63
5	118	63
6	128	63
7	134	63
8	136	63
9	136	63

end1.0ms (0%)

Compiler: Compiled 42 to 24 computations (42.9% saved)

sample10.4s (51.2%)

Algorithm

1×

intervals

Results

7.7s	5313×	body	1024	valid
1.0s	1327×	body	512	valid
591.0ms	178×	body	2048	valid
197.0ms	419×	body	256	valid
165.0ms	763×	body	128	valid

Compiler

Compiled 432 to 254 computations (41.2% saved)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Details

analyze3.9s (19.1%)

sample305.0ms (1.5%)

simplify26.0ms (0.1%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite119.0ms (0.6%)

series170.0ms (0.8%)

simplify123.0ms (0.6%)

prune101.0ms (0.5%)

localize30.0ms (0.1%)

rewrite121.0ms (0.6%)

series178.0ms (0.9%)

simplify116.0ms (0.6%)

prune106.0ms (0.5%)

localize31.0ms (0.2%)

rewrite227.0ms (1.1%)

series256.0ms (1.3%)

simplify114.0ms (0.6%)

prune194.0ms (1%)

localize38.0ms (0.2%)

rewrite233.0ms (1.1%)

series271.0ms (1.3%)

simplify135.0ms (0.7%)

prune160.0ms (0.8%)

regimes2.9s (14.5%)

simplify7.0ms (0%)

end1.0ms (0%)

sample10.4s (51.2%)

Profiling

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39