Details

analyze3.5s (22.2%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
1.2%	98.6%	0.2%	11
1.4%	98.4%	0.2%	12
10.8%	88.9%	0.2%	13
10.8%	88.9%	0.2%	14

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample221.0ms (1.4%)

Algorithm

1×

intervals

Results

151.0ms	130×	body	1024	valid
25.0ms	36×	body	512	valid
15.0ms	21×	body	256	valid
13.0ms	69×	body	128	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	463	55
1	463	55

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

0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 theta) (sin.f64 delta))
0.3b	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.3b	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.6b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_4533`
8×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
6×	`add-log-exp_binary64_4550` `associate-l_binary64_4452` `associate-r_binary64_4451`
2×	`unswap-sqr_binary64_4479` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `sin-mult_binary64_4666` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`
1×	`flip--_binary64_4486` `flip3--_binary64_4515` `diff-log_binary64_4603` `cancel-sign-sub-inv_binary64_4477` `sub-neg_binary64_4504` `asin-acos_binary64_4691`

Counts

4 → 58

Calls

4 calls:

5.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
5.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
4.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
1.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series404.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
148.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
43.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
23.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4868	2133
1	4868	2133

prune127.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	10	71

Error

0.1b

Counts

71 → 10

Compiler

Compiled 3329 to 621 computations (81.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.6b	(-.f64 (cos.f64 delta) (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
2.2b	(log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_4533`
12×	`*-un-lft-identity_binary64_4511`
9×	`pow1_binary64_4572` `add-cube-cbrt_binary64_4546`
7×	`add-log-exp_binary64_4550` `log-pow_binary64_4600`
6×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `log-prod_binary64_4597` `cancel-sign-sub-inv_binary64_4477`
3×	`associate-l_binary64_4452` `associate-r_binary64_4451` `associate--r+_binary64_4447`
2×	`distribute-lft-out--_binary64_4463` `exp-prod_binary64_4563` `exp-to-pow_binary64_4573`
1×	`flip--_binary64_4486` `unswap-sqr_binary64_4479` `flip3--_binary64_4515` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `sin-mult_binary64_4666` `rem-log-exp_binary64_4552` `difference-of-squares_binary64_4480` `diff-log_binary64_4603` `pow-prod-down_binary64_4582` `sub-neg_binary64_4504` `asin-acos_binary64_4691` `*-commutative_binary64_4442`

Counts

4 → 64

Calls

4 calls:

7.0ms	(-.f64 (cos.f64 delta) (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
6.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
3.0ms	(log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series724.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

288.0ms	(-.f64 (cos.f64 delta) (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
273.0ms	(log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
140.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
22.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4852	2821
1	4852	2821

prune110.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	76	10	86

Error

0.1b

Counts

86 → 10

Compiler

Compiled 3652 to 660 computations (81.9% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b	(pow.f64 (cos.f64 delta) 3)
0.4b	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3)
0.4b	(-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3))

rewrite39.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_4533`
11×	`*-un-lft-identity_binary64_4511`
9×	`sqr-pow_binary64_4483` `add-cube-cbrt_binary64_4546`
8×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `difference-of-squares_binary64_4480` `cancel-sign-sub-inv_binary64_4477`
7×	`cube-prod_binary64_4539` `unpow-prod-down_binary64_4590`
6×	`add-log-exp_binary64_4550` `pow-unpow_binary64_4588`
3×	`unpow3_binary64_4577` `pow-exp_binary64_4579` `rem-cube-cbrt_binary64_4534` `cube-mult_binary64_4541` `pow-pow_binary64_4583`
2×	`pow-to-exp_binary64_4580`
1×	`distribute-lft-out--_binary64_4463` `flip--_binary64_4486` `difference-cubes_binary64_4513` `flip3--_binary64_4515` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `sin-mult_binary64_4666` `diff-log_binary64_4603` `pow-prod-down_binary64_4582` `sub-neg_binary64_4504` `asin-acos_binary64_4691` `cube-div_binary64_4540`

Counts

4 → 83

Calls

4 calls:

11.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3))
5.0ms	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3)
2.0ms	(pow.f64 (cos.f64 delta) 3)
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series863.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

423.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3))
393.0ms	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3)
23.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
23.0ms	(pow.f64 (cos.f64 delta) 3)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5018	3327

prune245.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	93	12	105

Error

0.1b

Counts

105 → 12

Compiler

Compiled 9538 to 1372 computations (85.6% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b	(pow.f64 (cos.f64 delta) 3)
0.4b	(-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (pow.f64 (sin.f64 phi1) 3) (pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)))
0.6b	(pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)

rewrite35.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
6×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `cube-prod_binary64_4539` `add-log-exp_binary64_4550` `unpow-prod-down_binary64_4590` `pow-unpow_binary64_4588`
2×	`unpow3_binary64_4577` `pow-exp_binary64_4579` `sqr-pow_binary64_4483` `rem-cube-cbrt_binary64_4534` `pow-to-exp_binary64_4580` `cube-mult_binary64_4541` `pow-pow_binary64_4583`
1×	`flip--_binary64_4486` `difference-cubes_binary64_4513` `flip3--_binary64_4515` `diff-log_binary64_4603` `pow-prod-down_binary64_4582` `cancel-sign-sub-inv_binary64_4477` `sub-neg_binary64_4504` `asin-acos_binary64_4691`

Counts

4 → 67

Calls

4 calls:

10.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (pow.f64 (sin.f64 phi1) 3) (pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)))
3.0ms	(pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)
2.0ms	(pow.f64 (cos.f64 delta) 3)
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series713.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

431.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (.f64 (pow.f64 (sin.f64 phi1) 3) (pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)))
232.0ms	(pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) 3)
26.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
24.0ms	(pow.f64 (cos.f64 delta) 3)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5096	2382

prune186.0ms (1.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	79	12	91

Error

0.1b

Counts

91 → 12

Compiler

Compiled 7544 to 1135 computations (85% saved)

regimes502.0ms (3.2%)

Accuracy

Total 0.1b remaining (60.1%)

Threshold costs 0.1b (60.1%)

Compiler

Compiled 8048 to 4389 computations (45.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	59
1	43	59

end0.0ms (0%)

sample7.5s (47.1%)

Algorithm

1×

intervals

Results

4.5s	3909×	body	1024	valid
976.0ms	1358×	body	512	valid
469.0ms	2160×	body	128	valid
258.0ms	560×	body	256	valid
33.0ms	13×	body	2048	valid

Compiler

Compiled 1199 to 661 computations (44.9% saved)

Details

analyze3.5s (22.2%)

sample221.0ms (1.4%)

simplify133.0ms (0.8%)

prune4.0ms (0%)

localize29.0ms (0.2%)

rewrite22.0ms (0.1%)

series404.0ms (2.5%)

simplify106.0ms (0.7%)

prune127.0ms (0.8%)

localize30.0ms (0.2%)

rewrite25.0ms (0.2%)

series724.0ms (4.6%)

simplify86.0ms (0.5%)

prune110.0ms (0.7%)

localize42.0ms (0.3%)

rewrite39.0ms (0.2%)

series863.0ms (5.4%)

simplify91.0ms (0.6%)

prune245.0ms (1.5%)

localize40.0ms (0.3%)

rewrite35.0ms (0.2%)

series713.0ms (4.5%)

simplify79.0ms (0.5%)

prune186.0ms (1.2%)

regimes502.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.5s (47.1%)

Profiling