Details

analyze2.7s (13.4%)

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)

sample224.0ms (1.1%)

Algorithm

1×

intervals

Results

159.0ms	174×	body	1024	valid
25.0ms	35×	body	512	valid
13.0ms	7×	body	2048	valid
5.0ms	15×	body	256	valid
4.0ms	25×	body	128	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	385	39
1	385	39

prune4.0ms (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

12.9b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(sin.f64 (-.f64 lambda1 lambda2))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite116.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

Rules

11×	`add-sqr-sqrt_binary64_2487` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
6×	`cancel-sign-sub-inv_binary64_2431` `associate-r_binary64_2405`
4×	`cos-sum_binary64_2599` `add-log-exp_binary64_2504` `sin-sum_binary64_2598` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
3×	`cos-diff_binary64_2602`
2×	`sub-neg_binary64_2458` `sin-cos-mult_binary64_2621` `*-commutative_binary64_2396`
1×	`sin-diff_binary64_2601` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*l/_binary64_2408` `unswap-sqr_binary64_2433`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2042 to 375 computations (81.6% saved)

series652.0ms (3.2%)

Error

9.4b

Counts

4 → 50

Calls

4 calls:

378.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
101.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
59.0ms	(cos.f64 (-.f64 lambda1 lambda2))
50.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3803 to 1851 computations (51.3% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5286	1662

prune160.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	100	14	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	14	115

Error

6.2b

Counts

115 → 14

Compiler

Compiled 3665 to 770 computations (79% saved)

localize27.0ms (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 phi1) (cos.f64 phi2))
0.3b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.4b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite131.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
5×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`cos-sum_binary64_2599` `add-log-exp_binary64_2504`
3×	`cos-diff_binary64_2602` `cancel-sign-sub-inv_binary64_2431` `associate-l/_binary64_2408` `-commutative_binary64_2396`
2×	`sin-cos-mult_binary64_2621` `unswap-sqr_binary64_2433`
1×	`sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2897 to 394 computations (86.4% saved)

series1.0s (5%)

Error

5.9b

Counts

4 → 56

Calls

4 calls:

397.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
386.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
103.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
64.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5244 to 2520 computations (51.9% saved)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5032	2550

prune172.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	133	9	142

Error

0.1b

Counts

142 → 9

Compiler

Compiled 5010 to 782 computations (84.4% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite162.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
16×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
13×	`add-sqr-sqrt_binary64_2487`
10×	`associate-l_binary64_2406`
9×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
8×	`associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
2×	`sin-mult_binary64_2620` `unswap-sqr_binary64_2433`
1×	`associate-*r/_binary64_2407`

Counts

4 → 81

Calls

4 calls:

9.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
9.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 4165 to 516 computations (87.6% saved)

series1.3s (6.2%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

509.0ms	(.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
471.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
104.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
103.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 7028 to 2909 computations (58.6% saved)

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4978	2367
1	4978	2367

prune198.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	135	9	144

Error

0.0b

Counts

144 → 9

Compiler

Compiled 6832 to 966 computations (85.9% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) 3)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
0.4b	(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) 3)
19.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) 3))

rewrite171.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`cbrt-prod_binary64_2496`
14×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `associate-l_binary64_2406`
12×	`add-cbrt-cube_binary64_2501` `add-sqr-sqrt_binary64_2487`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `sin-cos-mult_binary64_2621` `cube-div_binary64_2494` `associate-r_binary64_2405`
3×	`cbrt-div_binary64_2497` `unpow-prod-down_binary64_2544` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `sqr-pow_binary64_2437` `pow-unpow_binary64_2542` `sin-mult_binary64_2620`
2×	`pow-pow_binary64_2537` `pow-exp_binary64_2533` `rem-cube-cbrt_binary64_2488` `*-commutative_binary64_2396`
1×	`pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489` `pow-to-exp_binary64_2534` `frac-times_binary64_2475` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `unswap-sqr_binary64_2433`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) 3)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) 3))

Compiler

Compiled 4839 to 954 computations (80.3% saved)

series959.0ms (4.7%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

487.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) 3)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
193.0ms	(pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) 3)
110.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) 3))
108.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 5723 to 2557 computations (55.3% saved)

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4945	2038
1	4945	2038

prune190.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	132	9	141

Error

0.0b

Counts

141 → 9

Compiler

Compiled 6631 to 1059 computations (84% saved)

regimes1.8s (8.7%)

Accuracy

Total 0.1b remaining (69.8%)

Threshold costs 0.1b (69.8%)

Compiler

Compiled 26804 to 16223 computations (39.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	157	78
1	157	78

end0.0ms (0%)

sample10.1s (49.2%)

Algorithm

1×

intervals

Results

5.0s	5339×	body	1024	valid
752.0ms	1302×	body	512	valid
304.0ms	157×	body	2048	valid
142.0ms	411×	body	256	valid
130.0ms	791×	body	128	valid

Compiler

Compiled 4376 to 2649 computations (39.5% saved)

Details

analyze2.7s (13.4%)

sample224.0ms (1.1%)

simplify22.0ms (0.1%)

prune4.0ms (0%)

localize19.0ms (0.1%)

rewrite116.0ms (0.6%)

series652.0ms (3.2%)

simplify76.0ms (0.4%)

prune160.0ms (0.8%)

localize27.0ms (0.1%)

rewrite131.0ms (0.6%)

series1.0s (5%)

simplify73.0ms (0.4%)

prune172.0ms (0.8%)

localize30.0ms (0.1%)

rewrite162.0ms (0.8%)

series1.3s (6.2%)

simplify72.0ms (0.4%)

prune198.0ms (1%)

localize33.0ms (0.2%)

rewrite171.0ms (0.8%)

series959.0ms (4.7%)

simplify83.0ms (0.4%)

prune190.0ms (0.9%)

regimes1.8s (8.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample10.1s (49.2%)

Profiling