Details

analyze5.2s (13.2%)

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)

sample389.0ms (1%)

Algorithm

1×

intervals

Results

275.0ms	168×	body	1024	valid
42.0ms	42×	body	512	valid
26.0ms	8×	body	2048	valid
9.0ms	15×	body	256	valid
7.0ms	23×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune7.0ms (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

8.9b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize49.0ms (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)))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))
3.0b	(sin.f64 (-.f64 lambda1 lambda2))

rewrite221.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

11×	`add-sqr-sqrt_binary64_2828` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`cancel-sign-sub-inv_binary64_2772` `associate-r_binary64_2746`
4×	`sin-sum_binary64_2939` `add-log-exp_binary64_2845` `cos-sum_binary64_2940` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747`
3×	`cos-diff_binary64_2943`
2×	`sub-neg_binary64_2799` `sin-cos-mult_binary64_2962` `*-commutative_binary64_2737`
1×	`sin-diff_binary64_2942` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-*l/_binary64_2749` `unswap-sqr_binary64_2774`

Counts

4 → 64

Calls

4 calls:

13.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
13.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
9.0ms	(sin.f64 (-.f64 lambda1 lambda2))
8.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2066 to 344 computations (83.3% saved)

series1.3s (3.3%)

Error

6.4b

Counts

4 → 60

Calls

4 calls:

659.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
327.0ms	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
97.0ms	(cos.f64 (-.f64 lambda1 lambda2))
95.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4543 to 2128 computations (53.2% saved)

simplify152.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5098	2077

prune303.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	12	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	12	125

Error

5.2b

Counts

125 → 12

Compiler

Compiled 4005 to 761 computations (81% saved)

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.9b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite221.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2828`
13×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`associate-r_binary64_2746`
7×	`associate-l_binary64_2747`
5×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
4×	`cos-sum_binary64_2940` `add-log-exp_binary64_2845`
3×	`cos-diff_binary64_2943` `cancel-sign-sub-inv_binary64_2772` `associate-l/_binary64_2749` `-commutative_binary64_2737`
2×	`unswap-sqr_binary64_2774`
1×	`sub-neg_binary64_2799` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `sin-cos-mult_binary64_2962` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 71

Calls

4 calls:

14.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
13.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
8.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
8.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2860 to 385 computations (86.5% saved)

series1.8s (4.5%)

Error

5.1b

Counts

4 → 58

Calls

4 calls:

688.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
678.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
178.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
104.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5472 to 2631 computations (51.9% saved)

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5023	2615

prune288.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Error

0.1b

Counts

141 → 10

Compiler

Compiled 5090 to 805 computations (84.2% saved)

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite293.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_2828`
15×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
12×	`associate-r_binary64_2746`
11×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
10×	`associate-l_binary64_2747`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
4×	`add-log-exp_binary64_2845` `sin-cos-mult_binary64_2962` `*-commutative_binary64_2737`
3×	`sin-mult_binary64_2961` `frac-times_binary64_2816` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `unswap-sqr_binary64_2774`
2×	`cos-mult_binary64_2960` `frac-add_binary64_2814` `flip3-+_binary64_2809` `flip-+_binary64_2780`
1×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 84

Calls

4 calls:

20.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
13.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
9.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
9.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 4101 to 503 computations (87.7% saved)

series2.3s (5.9%)

Error

0.1b

Counts

4 → 56

Calls

4 calls:

1.2s	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
669.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
186.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
166.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 6461 to 2803 computations (56.6% saved)

simplify123.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5218	3559

prune371.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	134	6	140
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Error

0.0b

Counts

150 → 11

Compiler

Compiled 6768 to 1006 computations (85.1% saved)

localize57.0ms (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 (sin.f64 lambda2) (sin.f64 lambda1))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
3.5b	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

rewrite260.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_2867` `add-sqr-sqrt_binary64_2828`
13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`associate-r_binary64_2746`
7×	`associate-l_binary64_2747`
5×	`add-log-exp_binary64_2845` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
3×	`log-pow_binary64_2895` `log-prod_binary64_2892` `sin-cos-mult_binary64_2962` `associate-l/_binary64_2749` `-commutative_binary64_2737`
2×	`flip3-+_binary64_2809` `frac-times_binary64_2816` `flip-+_binary64_2780` `associate-*r/_binary64_2748` `unswap-sqr_binary64_2774`
1×	`exp-to-pow_binary64_2868` `exp-prod_binary64_2858` `rem-log-exp_binary64_2847` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `sin-mult_binary64_2961` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 78

Calls

4 calls:

19.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
12.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
9.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))
4.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))

Compiler

Compiled 4016 to 502 computations (87.5% saved)

series3.0s (7.6%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

1.6s	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (log.f64 (exp.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))
693.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
423.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))
169.0ms	(*.f64 (sin.f64 lambda2) (sin.f64 lambda1))

Compiler

Compiled 6546 to 2870 computations (56.2% saved)

simplify148.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5141	3374

prune287.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	132	11	143

Error

0.0b

Counts

143 → 11

Compiler

Compiled 6107 to 750 computations (87.7% saved)

regimes3.2s (8.3%)

Accuracy

Total 0.1b remaining (77.1%)

Threshold costs 0.1b (77.1%)

Compiler

Compiled 26506 to 16369 computations (38.2% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	128	67
1	128	67

end0.0ms (0%)

sample19.0s (48.3%)

Algorithm

1×

intervals

Results

9.3s	5339×	body	1024	valid
1.3s	1233×	body	512	valid
703.0ms	194×	body	2048	valid
299.0ms	421×	body	256	valid
283.0ms	813×	body	128	valid

Compiler

Compiled 4304 to 2659 computations (38.2% saved)

Details

analyze5.2s (13.2%)

sample389.0ms (1%)

simplify41.0ms (0.1%)

prune7.0ms (0%)

localize49.0ms (0.1%)

rewrite221.0ms (0.6%)

series1.3s (3.3%)

simplify152.0ms (0.4%)

prune303.0ms (0.8%)

localize56.0ms (0.1%)

rewrite221.0ms (0.6%)

series1.8s (4.5%)

simplify141.0ms (0.4%)

prune288.0ms (0.7%)

localize56.0ms (0.1%)

rewrite293.0ms (0.7%)

series2.3s (5.9%)

simplify123.0ms (0.3%)

prune371.0ms (0.9%)

localize57.0ms (0.1%)

rewrite260.0ms (0.7%)

series3.0s (7.6%)

simplify148.0ms (0.4%)

prune287.0ms (0.7%)

regimes3.2s (8.3%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample19.0s (48.3%)

Profiling