Details

analyze2.0s (17.5%)

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
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)

sample167.0ms (1.5%)

Algorithm

1×

intervals

Results

112.0ms	140×	body	1024	valid
24.0ms	55×	body	512	valid
7.0ms	4×	body	2048	valid
7.0ms	26×	body	256	valid
4.0ms	31×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify191.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	211	32
1	211	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

Merged error: 1.1b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
6.0b	(sin.f64 (-.f64 lambda1 lambda2))
6.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_450`
4×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `*-un-lft-identity_binary64_414` `add-cbrt-cube_binary64_447` `add-sqr-sqrt_binary64_435`
3×	`cos-diff_binary64_548`
2×	`associate-+r+_binary64_348` `sub-neg_binary64_407`
1×	`distribute-lft-in_binary64_365` `flip3-+_binary64_417` `distribute-rgt-in_binary64_366` `sin-diff_binary64_547` `+-commutative_binary64_346` `cos-sum_binary64_545` `flip-+_binary64_388` `sin-sum_binary64_544` `sum-log_binary64_502`

Counts

4 → 38

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.0ms	(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)))))

series348.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
67.0ms	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
32.0ms	(sin.f64 (-.f64 lambda1 lambda2))
30.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4805	950
1	4805	950

prune87.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	36	14	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	14	51

Merged error: 0.9b

Counts

51 → 14

Compiler

Compiled 1692 to 484 computations (71.4% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.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) (cos.f64 (-.f64 lambda1 lambda2)))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
6.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_435`
6×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `*-un-lft-identity_binary64_414` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450`
3×	`cos-diff_binary64_548` `sub-neg_binary64_407` `associate-l_binary64_357` `associate-r_binary64_356`
2×	`distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `associate-+r+_binary64_348` `associate-*r/_binary64_358`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `*-commutative_binary64_347` `+-commutative_binary64_346` `prod-exp_binary64_460` `cos-sum_binary64_545` `pow-prod-down_binary64_482` `flip-+_binary64_388` `flip--_binary64_389` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `sum-log_binary64_502`

Counts

4 → 51

Calls

4 calls:

8.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
4.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))
1.0ms	(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) (cos.f64 (-.f64 lambda1 lambda2)))))

series587.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

259.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
215.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
84.0ms	(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) (cos.f64 (-.f64 lambda1 lambda2)))))
29.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4974	1613
1	4974	1613

prune93.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	65	12	77

Merged error: 0.1b

Counts

77 → 12

Compiler

Compiled 2536 to 494 computations (80.5% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_435`
8×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `*-un-lft-identity_binary64_414` `add-cbrt-cube_binary64_447`
6×	`associate-l_binary64_357` `add-log-exp_binary64_450` `associate-r_binary64_356`
2×	`distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate-+r+_binary64_348` `sub-neg_binary64_407` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `associate-r/_binary64_358`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `+-commutative_binary64_346` `flip-+_binary64_388` `flip--_binary64_389` `sum-log_binary64_502` `sin-mult_binary64_566`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
1.0ms	(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 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

series913.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

442.0ms	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
282.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
113.0ms	(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 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
76.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5015	2051

prune103.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	73	12	85

Merged error: 0.1b

Counts

85 → 12

Compiler

Compiled 3366 to 540 computations (84% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 phi2))
0.3b	(cbrt.f64 (cos.f64 phi2))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
6.0b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cube-cbrt_binary64_446` `cbrt-prod_binary64_442` `*-un-lft-identity_binary64_414` `add-log-exp_binary64_450` `add-sqr-sqrt_binary64_435`
4×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
3×	`cos-diff_binary64_548`
2×	`associate-+r+_binary64_348` `pow1/3_binary64_493`
1×	`distribute-lft-in_binary64_365` `flip3-+_binary64_417` `distribute-rgt-in_binary64_366` `+-commutative_binary64_346` `cos-sum_binary64_545` `sub-neg_binary64_407` `flip-+_binary64_388` `sum-log_binary64_502`

Counts

4 → 44

Calls

4 calls:

5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	(cbrt.f64 (cos.f64 phi2))
1.0ms	(cbrt.f64 (cos.f64 phi2))

series485.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

216.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
121.0ms	(cbrt.f64 (cos.f64 phi2))
119.0ms	(cbrt.f64 (cos.f64 phi2))
29.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4791	726
1	4791	726

prune73.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	55	13	68

Merged error: 0.1b

Counts

68 → 13

Compiler

Compiled 2294 to 310 computations (86.5% saved)

regimes210.0ms (1.9%)

Compiler: Compiled 2650 to 1534 computations (42.1% 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%)

sample5.5s (48.8%)

Algorithm

1×

intervals

Results

3.5s	4450×	body	1024	valid
790.0ms	1790×	body	512	valid
211.0ms	114×	body	2048	valid
207.0ms	727×	body	256	valid
125.0ms	919×	body	128	valid

Compiler

Compiled 494 to 287 computations (41.9% saved)

Details

analyze2.0s (17.5%)

sample167.0ms (1.5%)

simplify191.0ms (1.7%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite18.0ms (0.2%)

series348.0ms (3.1%)

simplify109.0ms (1%)

prune87.0ms (0.8%)

localize32.0ms (0.3%)

rewrite24.0ms (0.2%)

series587.0ms (5.2%)

simplify73.0ms (0.6%)

prune93.0ms (0.8%)

localize30.0ms (0.3%)

rewrite27.0ms (0.2%)

series913.0ms (8.1%)

simplify68.0ms (0.6%)

prune103.0ms (0.9%)

localize34.0ms (0.3%)

rewrite17.0ms (0.2%)

series485.0ms (4.3%)

simplify92.0ms (0.8%)

prune73.0ms (0.6%)

regimes210.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.5s (48.8%)

Profiling