Details

analyze2.1s (7.1%)

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)

sample145.0ms (0.5%)

Algorithm

1×

intervals

Results

94.0ms	155×	body	1024	valid
18.0ms	47×	body	512	valid
11.0ms	22×	body	256	valid
4.0ms	30×	body	128	valid
3.0ms	2×	body	2048	valid

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	271	32
1	271	32

prune8.0ms (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

0.4b

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))))
2.7b	(sin.f64 (-.f64 lambda1 lambda2))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite180.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

12×	`cancel-sign-sub-inv_binary64_2772` `add-sqr-sqrt_binary64_2828` `sin-sum_binary64_2939`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
4×	`sub-neg_binary64_2799` `cos-sum_binary64_2940`
3×	`cos-diff_binary64_2943` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-+r+_binary64_2738`
1×	`sin-diff_binary64_2942` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

4 → 63

Calls

4 calls:

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

Compiler

Compiled 1857 to 393 computations (78.8% saved)

series966.0ms (3.3%)

Error

0.4b

Counts

4 → 52

Calls

4 calls:

493.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
276.0ms	(*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2)))
64.0ms	(sin.f64 (-.f64 lambda1 lambda2))
58.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2837 to 1620 computations (42.9% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5070	1895

prune194.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	104	11	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	11	116

Error

0.3b

Counts

116 → 11

Compiler

Compiled 2241 to 636 computations (71.6% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(atan2.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2))) (.f64 (cos.f64 lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
0.2b	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
0.6b	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.8b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite177.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-sqr-sqrt_binary64_2828`
7×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
4×	`cos-sum_binary64_2940`
3×	`cos-diff_binary64_2943` `cancel-sign-sub-inv_binary64_2772` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-+r+_binary64_2738`
1×	`sub-neg_binary64_2799` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `+-commutative_binary64_2736` `sin-cos-mult_binary64_2962` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `sin-neg_binary64_2936` `distribute-lft-neg-out_binary64_2765` `*-commutative_binary64_2737`

Counts

4 → 52

Calls

4 calls:

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

Compiler

Compiled 2091 to 340 computations (83.7% saved)

series1.2s (4%)

Error

0.2b

Counts

4 → 52

Calls

4 calls:

552.0ms	(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
238.0ms	(atan2.f64 (+.f64 (.f64 (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (cos.f64 phi2))) (.f64 (cos.f64 lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))
193.0ms	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
87.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4099 to 2318 computations (43.4% saved)

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4949	2208
1	4949	2208

prune231.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Error

0.1b

Counts

115 → 11

Compiler

Compiled 2977 to 699 computations (76.5% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite234.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-sqr-sqrt_binary64_2828`
9×	`add-cube-cbrt_binary64_2841` `-un-lft-identity_binary64_2806` `associate-l*_binary64_2747`
7×	`associate-r_binary64_2746`
6×	`add-log-exp_binary64_2845`
5×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
3×	`*-commutative_binary64_2737`
2×	`associate-+r+_binary64_2738` `unswap-sqr_binary64_2774` `sin-cos-mult_binary64_2962` `sin-neg_binary64_2936` `distribute-lft-neg-out_binary64_2765`
1×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `+-commutative_binary64_2736` `sin-mult_binary64_2961` `distribute-rgt-neg-out_binary64_2766` `associate-*r/_binary64_2748`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cos.f64 lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)))
5.0ms	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
5.0ms	(*.f64 (sin.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 3035 to 449 computations (85.2% saved)

series2.1s (7.2%)

Error

0.1b

Counts

4 → 51

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)))))
445.0ms	(.f64 (cos.f64 lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)))
196.0ms	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
143.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5225 to 2556 computations (51.1% saved)

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5160	2458

prune324.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	124	10	134

Error

0.1b

Counts

134 → 10

Compiler

Compiled 4499 to 937 computations (79.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
0.2b	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
0.6b	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
0.8b	(log.f64 (exp.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))

rewrite261.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2828`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`pow1_binary64_2867`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
6×	`add-log-exp_binary64_2845` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`log-pow_binary64_2895` `log-prod_binary64_2892`
3×	`exp-prod_binary64_2858`
2×	`associate-+r+_binary64_2738` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`
1×	`exp-sum_binary64_2852` `rem-log-exp_binary64_2847` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `+-commutative_binary64_2736` `sin-cos-mult_binary64_2962` `sin-neg_binary64_2936` `distribute-lft-neg-out_binary64_2765` `sin-mult_binary64_2961`

Counts

4 → 68

Calls

4 calls:

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

Compiler

Compiled 3151 to 482 computations (84.7% saved)

series4.1s (13.8%)

Error

0.1b

Counts

4 → 58

Calls

4 calls:

2.4s	(log.f64 (exp.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
1.2s	(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
202.0ms	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
137.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 6173 to 3179 computations (48.5% saved)

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5031	3171

prune336.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	127	9	136

Error

0.1b

Counts

136 → 9

Compiler

Compiled 4543 to 766 computations (83.1% saved)

regimes11.7s (39.9%)

Accuracy

Total 0.1b remaining (53.8%)

Threshold costs 0.1b (53.8%)

Compiler

Compiled 151494 to 92173 computations (39.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	63
1	43	63

end3.0ms (0%)

Compiler: Compiled 38 to 24 computations (36.8% saved)

sample4.7s (16.1%)

Algorithm

1×

intervals

Results

2.8s	4506×	body	1024	valid
704.0ms	1790×	body	512	valid
175.0ms	696×	body	256	valid
139.0ms	107×	body	2048	valid
129.0ms	901×	body	128	valid

Compiler

Compiled 591 to 301 computations (49.1% saved)

Details

analyze2.1s (7.1%)

sample145.0ms (0.5%)

simplify25.0ms (0.1%)

prune8.0ms (0%)

localize18.0ms (0.1%)

rewrite180.0ms (0.6%)

series966.0ms (3.3%)

simplify75.0ms (0.3%)

prune194.0ms (0.7%)

localize28.0ms (0.1%)

rewrite177.0ms (0.6%)

series1.2s (4%)

simplify94.0ms (0.3%)

prune231.0ms (0.8%)

localize30.0ms (0.1%)

rewrite234.0ms (0.8%)

series2.1s (7.2%)

simplify72.0ms (0.2%)

prune324.0ms (1.1%)

localize37.0ms (0.1%)

rewrite261.0ms (0.9%)

series4.1s (13.8%)

simplify78.0ms (0.3%)

prune336.0ms (1.1%)

regimes11.7s (39.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end3.0ms (0%)

sample4.7s (16.1%)

Profiling