Details

analyze4.3s (18.9%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0.8%	99%	0.2%	11
1.2%	98.6%	0.2%	12
1.8%	98%	0.2%	13
2%	97.7%	0.2%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample343.0ms (1.5%)

Algorithm

1×

intervals

Results

240.0ms	172×	body	1024	valid
42.0ms	52×	body	512	valid
29.0ms	10×	body	2048	valid
7.0ms	14×	body	256	valid
2.0ms	8×	body	128	valid

Compiler

Compiled 39 to 40 computations (-2.6% saved)

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	96	31
1	96	31

prune14.0ms (0.1%)

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

15.2b

Counts

2 → 1

Compiler

Compiled 38 to 34 computations (10.5% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
0.6b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
2.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite37.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`cos-sum_binary64_553` `add-log-exp_binary64_458`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `sub-neg_binary64_412` `sin-mult_binary64_574` `cos-diff_binary64_556`

Counts

4 → 57

Calls

4 calls:

9.0ms	(cos.f64 (-.f64 lambda1 lambda2))
9.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
7.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
2.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

series254.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
49.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
41.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
20.0ms	(cos.f64 (-.f64 lambda1 lambda2))

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4809	1492
1	4809	1492

prune182.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	52	17	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	17	70

Error

3.3b

Counts

70 → 17

Compiler

Compiled 2288 to 609 computations (73.4% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.3b	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
0.7b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`associate-r_binary64_359` `associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
2×	`sin-mult_binary64_574`
1×	`acos-asin_binary64_600`

Counts

4 → 64

Calls

4 calls:

10.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
8.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))
7.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
2.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

series477.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

254.0ms	(.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
76.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
74.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
72.0ms	(*.f64 (sin.f64 phi1) (sin.f64 phi2))

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5083	1948

prune241.0ms (1.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	63	13	76
Fresh	11	5	16
Picked	1	0	1
Done	0	0	0
Total	75	18	93

Error

3.2b

Counts

93 → 18

Compiler

Compiled 3182 to 751 computations (76.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.3b	(.f64 (exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
0.6b	(log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
0.7b	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_441`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`associate-l_binary64_360` `pow1_binary64_480`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
7×	`log-prod_binary64_505`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `exp-sum_binary64_465`
3×	`unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `rem-log-exp_binary64_460` `sin-mult_binary64_574` `log-pow_binary64_508`

Counts

4 → 61

Calls

4 calls:

10.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
6.0ms	(.f64 (exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
1.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
1.0ms	(log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))

series991.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

654.0ms	(.f64 (exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))) R)
210.0ms	(log.f64 (acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
84.0ms	(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
44.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4954	2649
1	4954	2649

prune209.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	72	19	91

Error

3.2b

Counts

91 → 19

Compiler

Compiled 3436 to 804 computations (76.6% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.3b	(.f64 (acos.f64 (+.f64 (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
0.7b	(acos.f64 (+.f64 (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
4.0b	(log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `pow1_binary64_480`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
6×	`associate-r_binary64_359` `associate-l_binary64_360`
5×	`add-log-exp_binary64_458`
3×	`log-prod_binary64_505` `log-pow_binary64_508`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`acos-asin_binary64_600` `rem-log-exp_binary64_460` `exp-to-pow_binary64_481` `sin-mult_binary64_574` `exp-prod_binary64_471`

Counts

4 → 59

Calls

4 calls:

5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
3.0ms	(.f64 (acos.f64 (+.f64 (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
2.0ms	(acos.f64 (+.f64 (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

series553.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

276.0ms	(.f64 (acos.f64 (+.f64 (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
108.0ms	(acos.f64 (+.f64 (log.f64 (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
97.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))
72.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

simplify173.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4926	1901
1	4926	1901

prune119.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	72	18	90

Error

3.2b

Counts

90 → 18

Compiler

Compiled 2379 to 309 computations (87% saved)

regimes2.1s (9%)

Accuracy

Total 0.3b remaining (9.3%)

Threshold costs 0.3b (9.3%)

Compiler

Compiled 19830 to 12402 computations (37.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	47
1	33	47

end0.0ms (0%)

sample12.1s (53%)

Algorithm

1×

intervals

Results

7.0s	5446×	body	1024	valid
1.2s	1470×	body	512	valid
819.0ms	271×	body	2048	valid
245.0ms	502×	body	256	valid
76.0ms	311×	body	128	valid
2.0ms	2×	body	1024	invalid
1.0ms	1×	body	256	invalid

Compiler

Compiled 1881 to 1181 computations (37.2% saved)

Details

analyze4.3s (18.9%)

sample343.0ms (1.5%)

simplify161.0ms (0.7%)

prune14.0ms (0.1%)

localize39.0ms (0.2%)

rewrite37.0ms (0.2%)

series254.0ms (1.1%)

simplify129.0ms (0.6%)

prune182.0ms (0.8%)

localize39.0ms (0.2%)

rewrite33.0ms (0.1%)

series477.0ms (2.1%)

simplify101.0ms (0.4%)

prune241.0ms (1.1%)

localize29.0ms (0.1%)

rewrite32.0ms (0.1%)

series991.0ms (4.3%)

simplify163.0ms (0.7%)

prune209.0ms (0.9%)

localize41.0ms (0.2%)

rewrite19.0ms (0.1%)

series553.0ms (2.4%)

simplify173.0ms (0.8%)

prune119.0ms (0.5%)

regimes2.1s (9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample12.1s (53%)

Profiling