Details

analyze2.1s (10.7%)

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)

sample155.0ms (0.8%)

Algorithm

1×

intervals

Results

103.0ms	156×	body	1024	valid
21.0ms	54×	body	512	valid
6.0ms	24×	body	256	valid
5.0ms	4×	body	2048	valid
2.0ms	18×	body	128	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

prune4.0ms (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

0.8b

Counts

2 → 1

Compiler

Compiled 40 to 28 computations (30% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))
2.6b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite206.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

12×	`sin-sum_binary64_552` `cancel-sign-sub-inv_binary64_385` `add-sqr-sqrt_binary64_441`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
4×	`sub-neg_binary64_412` `cos-sum_binary64_553`
3×	`cos-diff_binary64_556` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`associate-+r+_binary64_351`
1×	`sin-diff_binary64_555` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`

Counts

4 → 63

Calls

4 calls:

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

Compiler

Compiled 1857 to 393 computations (78.8% saved)

series1.0s (5.1%)

Error

0.8b

Counts

4 → 56

Calls

4 calls:

535.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
264.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
77.0ms	(cos.f64 (-.f64 lambda1 lambda2))
62.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3141 to 1763 computations (43.9% saved)

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5436	1983

prune183.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	105	14	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	14	120

Error

0.6b

Counts

120 → 14

Compiler

Compiled 2377 to 703 computations (70.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite274.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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`
5×	`cancel-sign-sub-inv_binary64_385`
4×	`cos-sum_binary64_553`
3×	`cos-diff_binary64_556` `sub-neg_binary64_412` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
2×	`associate-+r+_binary64_351` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `associate-r/_binary64_361` `-commutative_binary64_350`
1×	`sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349` `flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 67

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

Compiler

Compiled 2339 to 416 computations (82.2% saved)

series1.6s (7.9%)

Error

0.4b

Counts

4 → 60

Calls

4 calls:

626.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
544.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
171.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
81.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4381 to 2431 computations (44.5% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5038	2646

prune325.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Error

0.0b

Counts

141 → 10

Compiler

Compiled 3420 to 838 computations (75.5% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite269.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`associate-l_binary64_360` `associate-r_binary64_359`
6×	`add-log-exp_binary64_458`
3×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
2×	`associate-+r+_binary64_351` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `associate-*r/_binary64_361`
1×	`sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349` `sin-mult_binary64_574` `flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 74

Calls

4 calls:

9.0ms	(.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 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)))))

Compiler

Compiled 3004 to 448 computations (85.1% saved)

series2.3s (11.5%)

Error

0.0b

Counts

4 → 61

Calls

4 calls:

1.2s	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))
646.0ms	(.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))
163.0ms	(*.f64 (cos.f64 lambda1) (sin.f64 lambda2))
149.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5561 to 2709 computations (51.3% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4979	3237
1	4979	3237

prune351.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	135	10	145

Error

0.0b

Counts

145 → 10

Compiler

Compiled 4632 to 984 computations (78.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
0.7b	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))
2.6b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite207.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`cancel-sign-sub-inv_binary64_385` `add-log-exp_binary64_458`
5×	`pow1_binary64_480`
4×	`sin-sum_binary64_552` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cos-sum_binary64_553` `log-pow_binary64_508` `log-prod_binary64_505`
3×	`exp-prod_binary64_471`
2×	`sub-neg_binary64_412`
1×	`sin-diff_binary64_555` `cos-diff_binary64_556` `exp-sum_binary64_465` `rem-log-exp_binary64_460` `sum-log_binary64_510` `flip3-+_binary64_422` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 51

Calls

4 calls:

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

Compiler

Compiled 1588 to 361 computations (77.3% saved)

series2.1s (10.3%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

1.3s	(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))))
511.0ms	(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1))
74.0ms	(cos.f64 (-.f64 lambda1 lambda2))
65.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3632 to 2166 computations (40.4% saved)

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5024	1944

prune245.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	111	10	121

Error

0.0b

Counts

121 → 10

Compiler

Compiled 2195 to 551 computations (74.9% saved)

regimes3.4s (16.9%)

Accuracy

Total 0.1b remaining (46.6%)

Threshold costs 0.1b (46.6%)

Compiler

Compiled 39452 to 25771 computations (34.7% 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

end2.0ms (0%)

Compiler: Compiled 34 to 21 computations (38.2% saved)

sample4.9s (24.3%)

Algorithm

1×

intervals

Results

2.8s	4424×	body	1024	valid
673.0ms	1763×	body	512	valid
424.0ms	751×	body	256	valid
145.0ms	108×	body	2048	valid
134.0ms	954×	body	128	valid

Compiler

Compiled 366 to 226 computations (38.3% saved)

Details

analyze2.1s (10.7%)

sample155.0ms (0.8%)

simplify26.0ms (0.1%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite206.0ms (1%)

series1.0s (5.1%)

simplify81.0ms (0.4%)

prune183.0ms (0.9%)

localize25.0ms (0.1%)

rewrite274.0ms (1.4%)

series1.6s (7.9%)

simplify76.0ms (0.4%)

prune325.0ms (1.6%)

localize27.0ms (0.1%)

rewrite269.0ms (1.3%)

series2.3s (11.5%)

simplify80.0ms (0.4%)

prune351.0ms (1.8%)

localize20.0ms (0.1%)

rewrite207.0ms (1%)

series2.1s (10.3%)

simplify72.0ms (0.4%)

prune245.0ms (1.2%)

regimes3.4s (16.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample4.9s (24.3%)

Profiling