Details

analyze4.0s (16.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4909	605
1	4909	605
0	5	5
1	5	5

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)

sample226.0ms (0.9%)

Algorithm

1×

intervals

Results

142.0ms	115×	body	1024	valid
39.0ms	56×	body	512	valid
12.0ms	59×	body	128	valid
11.0ms	26×	body	256	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	463	55
1	463	55

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

0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize27.0ms (0.1%)

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))))
0.5b	(-.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)))))))

rewrite132.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_2146`
8×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`sin-mult_binary64_2279` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090` `asin-acos_binary64_2304`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.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))))

Compiler

Compiled 2653 to 371 computations (86% saved)

series1.0s (4.2%)

Error

0.2b

Counts

4 → 43

Calls

4 calls:

439.0ms	(-.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)))))))
368.0ms	(.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))))))
104.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
78.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

Compiler

Compiled 4190 to 1981 computations (52.7% saved)

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4900	3044
1	4900	3044

prune169.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Error

0.1b

Counts

102 → 11

Compiler

Compiled 4552 to 756 computations (83.4% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite259.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64_2146`
11×	`*-un-lft-identity_binary64_2124`
9×	`add-cube-cbrt_binary64_2159` `sqr-pow_binary64_2096`
8×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `difference-of-squares_binary64_2093` `cancel-sign-sub-inv_binary64_2090`
7×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
6×	`pow-unpow_binary64_2201` `add-log-exp_binary64_2163`
3×	`pow-pow_binary64_2196` `pow-exp_binary64_2192` `unpow3_binary64_2190` `cube-mult_binary64_2154` `rem-cube-cbrt_binary64_2147`
2×	`pow-to-exp_binary64_2193`
1×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `sin-mult_binary64_2279` `cube-div_binary64_2153` `cbrt-unprod_binary64_2157` `diff-log_binary64_2216` `flip3--_binary64_2128` `difference-cubes_binary64_2126` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076` `asin-acos_binary64_2304`

Counts

4 → 83

Calls

4 calls:

12.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3))
5.0ms	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3)
3.0ms	(pow.f64 (cos.f64 delta) 3)
1.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))

Compiler

Compiled 8517 to 1109 computations (87% saved)

series2.0s (7.9%)

Error

0.1b

Counts

4 → 38

Calls

4 calls:

955.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3))
752.0ms	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3)
104.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))
52.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 9235 to 2828 computations (69.4% saved)

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4991	4223
1	4991	4223

prune305.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Error

0.0b

Counts

132 → 11

Compiler

Compiled 11965 to 1674 computations (86% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (pow.f64 (cos.f64 delta) 3) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3) 3)))
0.4b	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3)
0.4b	(pow.f64 (cos.f64 delta) 3)
6.5b	(cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3) 3))

rewrite508.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

68×	`cbrt-prod_binary64_2155`
52×	`add-sqr-sqrt_binary64_2146`
39×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
28×	`difference-of-squares_binary64_2093`
27×	`sqr-pow_binary64_2096`
25×	`cancel-sign-sub-inv_binary64_2090`
17×	`*-un-lft-identity_binary64_2124`
15×	`add-cube-cbrt_binary64_2159`
8×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `unpow3_binary64_2190` `cube-mult_binary64_2154`
6×	`add-log-exp_binary64_2163` `pow-unpow_binary64_2201`
3×	`cube-div_binary64_2153` `pow-pow_binary64_2196` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147`
2×	`sin-mult_binary64_2279` `pow-to-exp_binary64_2193`
1×	`pow1/3_binary64_2206` `cbrt-div_binary64_2156` `rem-cbrt-cube_binary64_2148` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`

Counts

4 → 143

Calls

4 calls:

23.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3) 3)))
7.0ms	(cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3) 3))
6.0ms	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3)
2.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 15991 to 2632 computations (83.5% saved)

series2.6s (10.6%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

963.0ms	(-.f64 (pow.f64 (cos.f64 delta) 3) (cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3) 3)))
748.0ms	(cbrt.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3) 3))
736.0ms	(pow.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))))))) 3)
62.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 9689 to 3322 computations (65.7% saved)

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4913	8238
1	4913	8238

prune467.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	182	11	193

Error

0.0b

Counts

193 → 11

Compiler

Compiled 18349 to 2592 computations (85.9% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite254.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201` `cube-prod_binary64_2152`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`add-log-exp_binary64_2163`
3×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow3_binary64_2190` `cube-mult_binary64_2154` `rem-cube-cbrt_binary64_2147` `sqr-pow_binary64_2096`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `pow-prod-down_binary64_2195` `difference-cubes_binary64_2126` `sub-neg_binary64_2117` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090`

Counts

4 → 82

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 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))))) 3)))
4.0ms	(pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 3)
3.0ms	(pow.f64 (sin.f64 phi1) 3)
3.0ms	(pow.f64 (cos.f64 delta) 3)

Compiler

Compiled 8213 to 1264 computations (84.6% saved)

series1.6s (6.6%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

948.0ms	(-.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 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))))) 3)))
504.0ms	(pow.f64 (sin.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) 3)
59.0ms	(pow.f64 (cos.f64 delta) 3)
52.0ms	(pow.f64 (sin.f64 phi1) 3)

Compiler

Compiled 7657 to 2609 computations (65.9% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5342	2965

prune265.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	114	11	125

Error

0.0b

Counts

125 → 11

Compiler

Compiled 10666 to 1542 computations (85.5% saved)

regimes1.4s (5.5%)

Accuracy

Total 0.1b remaining (69.1%)

Threshold costs 0.1b (69.1%)

Compiler

Compiled 24575 to 12103 computations (50.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	220
1	58	220

end0.0ms (0%)

sample8.9s (36%)

Algorithm

1×

intervals

Results

4.6s	3923×	body	1024	valid
945.0ms	1310×	body	512	valid
448.0ms	2212×	body	128	valid
245.0ms	546×	body	256	valid
22.0ms	9×	body	2048	valid

Compiler

Compiled 3656 to 1778 computations (51.4% saved)

Details

analyze4.0s (16.3%)

sample226.0ms (0.9%)

simplify48.0ms (0.2%)

prune5.0ms (0%)

localize27.0ms (0.1%)

rewrite132.0ms (0.5%)

series1.0s (4.2%)

simplify90.0ms (0.4%)

prune169.0ms (0.7%)

localize38.0ms (0.2%)

rewrite259.0ms (1.1%)

series2.0s (7.9%)

simplify80.0ms (0.3%)

prune305.0ms (1.2%)

localize49.0ms (0.2%)

rewrite508.0ms (2.1%)

series2.6s (10.6%)

simplify121.0ms (0.5%)

prune467.0ms (1.9%)

localize50.0ms (0.2%)

rewrite254.0ms (1%)

series1.6s (6.6%)

simplify70.0ms (0.3%)

prune265.0ms (1.1%)

regimes1.4s (5.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.9s (36%)

Profiling