Details

analyze2.1s (14.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1273	224
1	1273	224
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
9.4%	90.4%	0.2%	9
9.4%	90.4%	0.2%	10
10.9%	88.9%	0.2%	11
10.9%	88.9%	0.2%	12
10.9%	88.9%	0.2%	13
10.9%	88.9%	0.2%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample142.0ms (1%)

Algorithm

1×

intervals

Results

75.0ms	123×	body	1024	valid
35.0ms	77×	body	512	valid
8.0ms	30×	body	256	valid
5.0ms	4×	body	2048	valid
3.0ms	22×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

1.0b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.0b	(cos.f64 (-.f64 lambda1 lambda2))
3.1b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite92.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

6×	`add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419` `add-log-exp_binary64_458`
4×	`sin-sum_binary64_552` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cos-sum_binary64_553`
3×	`cos-diff_binary64_556`
2×	`sub-neg_binary64_412` `associate-+r+_binary64_351`
1×	`sin-diff_binary64_555` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `+-commutative_binary64_349`

Counts

4 → 44

Calls

4 calls:

10.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))
1.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 1356 to 285 computations (79% saved)

series637.0ms (4.5%)

Error

1.0b

Counts

4 → 59

Calls

4 calls:

345.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
116.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
55.0ms	(cos.f64 (-.f64 lambda1 lambda2))
55.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3635 to 1778 computations (51.1% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5036	2136

prune141.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Error

0.8b

Counts

104 → 12

Compiler

Compiled 3051 to 681 computations (77.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.5b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
3.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite102.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`add-sqr-sqrt_binary64_441`
9×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
4×	`cos-sum_binary64_553`
3×	`cos-diff_binary64_556` `cancel-sign-sub-inv_binary64_385`
2×	`associate-+r+_binary64_351` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`sub-neg_binary64_412` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `+-commutative_binary64_349`

Counts

4 → 61

Calls

4 calls:

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

Compiler

Compiled 2114 to 432 computations (79.6% saved)

series683.0ms (4.8%)

Error

0.6b

Counts

4 → 48

Calls

4 calls:

359.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
112.0ms	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
94.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
65.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3929 to 2003 computations (49% saved)

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4936	1575
1	4936	1575

prune167.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	110	11	121

Error

0.1b

Counts

121 → 11

Compiler

Compiled 3798 to 776 computations (79.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.5b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))

rewrite98.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64_441`
8×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`associate-+r+_binary64_351` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `+-commutative_binary64_349` `sin-mult_binary64_574`

Counts

4 → 57

Calls

4 calls:

6.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
4.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
0.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

Compiler

Compiled 2538 to 380 computations (85% saved)

series1.2s (8.3%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

746.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
179.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
98.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
98.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5198 to 2288 computations (56% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5052	2843

prune143.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	106	11	117

Error

0.1b

Counts

117 → 11

Compiler

Compiled 4489 to 710 computations (84.2% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(cos.f64 (-.f64 lambda1 lambda2))
3.0b	(cos.f64 (-.f64 lambda1 lambda2))
3.0b	(cos.f64 (-.f64 lambda1 lambda2))
3.1b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite110.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`cancel-sign-sub-inv_binary64_385` `cos-sum_binary64_553`
8×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
4×	`sub-neg_binary64_412` `sin-sum_binary64_552` `pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`cos-diff_binary64_556`
1×	`sin-diff_binary64_555`

Counts

4 → 48

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2784 to 625 computations (77.6% saved)

series287.0ms (2%)

Error

0.1b

Counts

4 → 40

Calls

4 calls:

64.0ms	(cos.f64 (-.f64 lambda1 lambda2))
63.0ms	(sin.f64 (-.f64 lambda1 lambda2))
52.0ms	(cos.f64 (-.f64 lambda1 lambda2))
47.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5312 to 2133 computations (59.8% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4971	1068
1	4971	1068

prune146.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	89	10	99

Error

0.1b

Counts

99 → 10

Compiler

Compiled 4723 to 988 computations (79.1% saved)

regimes1.3s (8.9%)

Accuracy

Total 0.1b remaining (65.1%)

Threshold costs 0.1b (65.1%)

Compiler

Compiled 17913 to 11049 computations (38.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	56
1	57	56

end0.0ms (0%)

sample6.4s (45.4%)

Algorithm

1×

intervals

Results

2.9s	4544×	body	1024	valid
694.0ms	1731×	body	512	valid
187.0ms	718×	body	256	valid
127.0ms	917×	body	128	valid
122.0ms	90×	body	2048	valid

Compiler

Compiled 2606 to 1607 computations (38.3% saved)

Details

analyze2.1s (14.9%)

sample142.0ms (1%)

simplify27.0ms (0.2%)

prune3.0ms (0%)

localize17.0ms (0.1%)

rewrite92.0ms (0.7%)

series637.0ms (4.5%)

simplify70.0ms (0.5%)

prune141.0ms (1%)

localize27.0ms (0.2%)

rewrite102.0ms (0.7%)

series683.0ms (4.8%)

simplify77.0ms (0.5%)

prune167.0ms (1.2%)

localize27.0ms (0.2%)

rewrite98.0ms (0.7%)

series1.2s (8.3%)

simplify70.0ms (0.5%)

prune143.0ms (1%)

localize30.0ms (0.2%)

rewrite110.0ms (0.8%)

series287.0ms (2%)

simplify63.0ms (0.4%)

prune146.0ms (1%)

regimes1.3s (8.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.4s (45.4%)

Profiling