Details

analyze2.8s (11.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	273
1	1713	273
0	4	4
1	4	4

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)

sample224.0ms (0.9%)

Algorithm

1×

intervals

Results

171.0ms	180×	body	1024	valid
23.0ms	39×	body	512	valid
4.0ms	24×	body	128	valid
4.0ms	11×	body	256	valid
4.0ms	2×	body	2048	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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

14.7b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.2b	(sin.f64 (-.f64 lambda1 lambda2))
4.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite148.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

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:

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

Compiler

Compiled 2066 to 344 computations (83.3% saved)

series1.2s (4.7%)

Error

10.7b

Counts

4 → 62

Calls

4 calls:

633.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
282.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
83.0ms	(cos.f64 (-.f64 lambda1 lambda2))
76.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4723 to 2196 computations (53.5% saved)

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5023	2187

prune232.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	108	18	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	18	127

Error

6.0b

Counts

127 → 18

Compiler

Compiled 4231 to 901 computations (78.7% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.3b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite167.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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` `associate-l/_binary64_2067` `-commutative_binary64_2055`
2×	`unswap-sqr_binary64_2092`
1×	`sub-neg_binary64_2117` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `sin-cos-mult_binary64_2280` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 71

Calls

4 calls:

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

Compiler

Compiled 2860 to 402 computations (85.9% saved)

series1.5s (5.9%)

Error

5.8b

Counts

4 → 54

Calls

4 calls:

616.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
565.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
146.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
87.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5040 to 2443 computations (51.5% saved)

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5173	2352

prune219.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	8	9	17
Picked	1	0	1
Done	0	0	0
Total	127	16	143

Error

0.0b

Counts

143 → 16

Compiler

Compiled 5073 to 901 computations (82.2% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite202.0ms (0.8%)

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`
4×	`add-log-exp_binary64_2163` `sin-cos-mult_binary64_2280` `*-commutative_binary64_2055`
3×	`sin-mult_binary64_2279` `frac-times_binary64_2134` `associate-l/_binary64_2067` `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` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 84

Calls

4 calls:

14.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
8.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4101 to 514 computations (87.5% saved)

series2.0s (8.2%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

1.1s	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
604.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
150.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
141.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5993 to 2632 computations (56.1% saved)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5057	3307

prune291.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	7	8	15
Picked	1	0	1
Done	0	0	0
Total	138	14	152

Error

0.0b

Counts

152 → 14

Compiler

Compiled 6647 to 1021 computations (84.6% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite189.0ms (0.8%)

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-l_binary64_2065`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`associate-r_binary64_2064`
9×	`associate-*r/_binary64_2066`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`add-log-exp_binary64_2163` `*-commutative_binary64_2055`
3×	`unswap-sqr_binary64_2092` `sin-mult_binary64_2279`
2×	`cos-mult_binary64_2278` `frac-add_binary64_2132` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

4 → 85

Calls

4 calls:

12.0ms	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
10.0ms	(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
6.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4042 to 550 computations (86.4% saved)

series2.0s (8.1%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

1.0s	(.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
626.0ms	(.f64 (sin.f64 phi1) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
147.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
146.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 6192 to 2775 computations (55.2% saved)

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4977	3226
1	4977	3226

prune203.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	137	14	151

Error

0.0b

Counts

151 → 14

Compiler

Compiled 6026 to 697 computations (88.4% saved)

regimes2.8s (11%)

Accuracy

Total 0.1b remaining (76.8%)

Threshold costs 0.1b (76.8%)

Compiler

Compiled 30260 to 19552 computations (35.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	136	63
1	136	63

end0.0ms (0%)

sample10.4s (41.5%)

Algorithm

1×

intervals

Results

4.8s	5310×	body	1024	valid
759.0ms	1315×	body	512	valid
341.0ms	175×	body	2048	valid
155.0ms	414×	body	256	valid
126.0ms	786×	body	128	valid

Compiler

Compiled 4905 to 3167 computations (35.4% saved)

Details

analyze2.8s (11.3%)

sample224.0ms (0.9%)

simplify21.0ms (0.1%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite148.0ms (0.6%)

series1.2s (4.7%)

simplify84.0ms (0.3%)

prune232.0ms (0.9%)

localize33.0ms (0.1%)

rewrite167.0ms (0.7%)

series1.5s (5.9%)

simplify70.0ms (0.3%)

prune219.0ms (0.9%)

localize31.0ms (0.1%)

rewrite202.0ms (0.8%)

series2.0s (8.2%)

simplify100.0ms (0.4%)

prune291.0ms (1.2%)

localize31.0ms (0.1%)

rewrite189.0ms (0.8%)

series2.0s (8.1%)

simplify80.0ms (0.3%)

prune203.0ms (0.8%)

regimes2.8s (11%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample10.4s (41.5%)

Profiling