Details

analyze3.3s (13.3%)

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 25 to 18 computations (28% saved)

sample238.0ms (1%)

Algorithm

1×

intervals

Results

172.0ms	171×	body	1024	valid
24.0ms	41×	body	512	valid
16.0ms	7×	body	2048	valid
5.0ms	27×	body	128	valid
4.0ms	10×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify133.0ms (0.5%)

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

13.6b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize29.0ms (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)))
2.0b	(sin.f64 (-.f64 lambda1 lambda2))
2.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite117.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

11×	`add-sqr-sqrt_binary64_2146` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`cancel-sign-sub-inv_binary64_2090` `associate-r_binary64_2064`
4×	`cos-sum_binary64_2258` `add-log-exp_binary64_2163` `sin-sum_binary64_2257` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
3×	`cos-diff_binary64_2261`
2×	`sub-neg_binary64_2117` `sin-cos-mult_binary64_2280` `*-commutative_binary64_2055`
1×	`sin-diff_binary64_2260` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate-*l/_binary64_2067` `unswap-sqr_binary64_2092`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
6.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2042 to 375 computations (81.6% saved)

series736.0ms (3%)

Error

10.7b

Counts

4 → 50

Calls

4 calls:

416.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
129.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
64.0ms	(sin.f64 (-.f64 lambda1 lambda2))
51.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3662 to 1764 computations (51.8% saved)

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4959	1712
1	4959	1712

prune232.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	101	13	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	13	115

Error

6.5b

Counts

115 → 13

Compiler

Compiled 3667 to 783 computations (78.6% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite143.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2146`
13×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`associate-r_binary64_2064`
7×	`associate-l_binary64_2065`
5×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`cos-sum_binary64_2258` `add-log-exp_binary64_2163`
3×	`cos-diff_binary64_2261` `cancel-sign-sub-inv_binary64_2090` `*-commutative_binary64_2055`
2×	`sin-cos-mult_binary64_2280` `unswap-sqr_binary64_2092`
1×	`sub-neg_binary64_2117` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate-*l/_binary64_2067`

Counts

4 → 70

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
8.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2672 to 399 computations (85.1% saved)

series862.0ms (3.5%)

Error

6.0b

Counts

4 → 47

Calls

4 calls:

444.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
147.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
122.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
62.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4381 to 2168 computations (50.5% saved)

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5297	1665

prune219.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	117	13	130

Error

0.1b

Counts

130 → 13

Compiler

Compiled 4574 to 817 computations (82.1% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite212.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_2146`
15×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
12×	`associate-r_binary64_2064`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`associate-l_binary64_2065`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
5×	`sin-cos-mult_binary64_2280`
4×	`add-log-exp_binary64_2163` `*-commutative_binary64_2055`
3×	`sin-mult_binary64_2279` `frac-times_binary64_2134` `associate-*r/_binary64_2066` `unswap-sqr_binary64_2092`
2×	`cos-mult_binary64_2278` `frac-add_binary64_2132` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate-*l/_binary64_2067`

Counts

4 → 83

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
10.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
9.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 3906 to 517 computations (86.8% saved)

series1.3s (5.3%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

830.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
156.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
132.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
107.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5346 to 2355 computations (55.9% saved)

simplify124.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4982	2638
1	4982	2638

prune203.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	130	12	142

Error

0.1b

Counts

142 → 12

Compiler

Compiled 6150 to 966 computations (84.3% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 phi1)) (cbrt.f64 (cos.f64 phi1)))
0.3b	(cbrt.f64 (cos.f64 phi1))
0.3b	(cbrt.f64 (cos.f64 phi1))
0.3b	(cbrt.f64 (cos.f64 phi1))

rewrite136.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206`
6×	`add-exp-log_binary64_2162` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `unswap-sqr_binary64_2092`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 phi1)) (cbrt.f64 (cos.f64 phi1)))
1.0ms	(cbrt.f64 (cos.f64 phi1))
1.0ms	(cbrt.f64 (cos.f64 phi1))
1.0ms	(cbrt.f64 (cos.f64 phi1))

Compiler

Compiled 3847 to 404 computations (89.5% saved)

series431.0ms (1.8%)

Error

0.1b

Counts

4 → 16

Calls

4 calls:

114.0ms	(*.f64 (cbrt.f64 (cos.f64 phi1)) (cbrt.f64 (cos.f64 phi1)))
109.0ms	(cbrt.f64 (cos.f64 phi1))
104.0ms	(cbrt.f64 (cos.f64 phi1))
81.0ms	(cbrt.f64 (cos.f64 phi1))

Compiler

Compiled 2116 to 993 computations (53.1% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune138.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	88	13	101

Error

0.0b

Counts

101 → 13

Compiler

Compiled 4386 to 483 computations (89% saved)

regimes2.4s (9.8%)

Accuracy

Total 0.1b remaining (71.6%)

Threshold costs 0.1b (71.6%)

Compiler

Compiled 28431 to 17692 computations (37.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	148	73
1	148	73

end0.0ms (0%)

sample13.3s (53.9%)

Algorithm

1×

intervals

Results

6.5s	5352×	body	1024	valid
918.0ms	1284×	body	512	valid
445.0ms	175×	body	2048	valid
186.0ms	389×	body	256	valid
177.0ms	800×	body	128	valid

Compiler

Compiled 4612 to 2871 computations (37.7% saved)

Details

analyze3.3s (13.3%)

sample238.0ms (1%)

simplify133.0ms (0.5%)

prune4.0ms (0%)

localize29.0ms (0.1%)

rewrite117.0ms (0.5%)

series736.0ms (3%)

simplify106.0ms (0.4%)

prune232.0ms (0.9%)

localize30.0ms (0.1%)

rewrite143.0ms (0.6%)

series862.0ms (3.5%)

simplify101.0ms (0.4%)

prune219.0ms (0.9%)

localize32.0ms (0.1%)

rewrite212.0ms (0.9%)

series1.3s (5.3%)

simplify124.0ms (0.5%)

prune203.0ms (0.8%)

localize41.0ms (0.2%)

rewrite136.0ms (0.6%)

series431.0ms (1.8%)

simplify102.0ms (0.4%)

prune138.0ms (0.6%)

regimes2.4s (9.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample13.3s (53.9%)

Profiling