Details

analyze3.7s (20.1%)

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
1.2%	98.6%	0.2%	11
1.4%	98.4%	0.2%	12
10.8%	88.9%	0.2%	13
10.8%	88.9%	0.2%	14

Compiler

Compiled 34 to 24 computations (29.4% saved)

sample264.0ms (1.5%)

Algorithm

1×

intervals

Results

203.0ms	143×	body	1024	valid
22.0ms	30×	body	512	valid
15.0ms	69×	body	128	valid
6.0ms	14×	body	256	valid

Compiler

Compiled 67 to 52 computations (22.4% saved)

simplify216.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	463	55
1	463	55

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 66 to 46 computations (30.3% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (sin.f64 theta) (sin.f64 delta))
0.3b	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.3b	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1133`
8×	`add-cbrt-cube_binary64_1147` `*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146` `pow1_binary64_1172` `add-exp-log_binary64_1149`
6×	`associate-r_binary64_1051` `associate-l_binary64_1052` `add-log-exp_binary64_1150`
2×	`*-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `sin-mult_binary64_1266` `pow-prod-down_binary64_1182` `unswap-sqr_binary64_1079`
1×	`cancel-sign-sub-inv_binary64_1077` `flip3--_binary64_1115` `diff-log_binary64_1203` `asin-acos_binary64_1291` `sub-neg_binary64_1104` `flip--_binary64_1086`

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
6.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
5.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
2.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series666.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

321.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))
237.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
73.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
35.0ms	(asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4895	2133
1	4895	2133

prune560.0ms (3.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	11	71

Merged error: 0.1b

Counts

71 → 11

Compiler

Compiled 13287 to 5490 computations (58.7% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)))))
0.6b	(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)
5.6b	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1142`
10×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
6×	`unpow-prod-down_binary64_1190` `cube-prod_binary64_1139` `add-log-exp_binary64_1150`
5×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
3×	`pow-unpow_binary64_1188`
2×	`cube-mult_binary64_1141` `unpow3_binary64_1177` `sqr-pow_binary64_1083`
1×	`pow1/3_binary64_1193` `cancel-sign-sub-inv_binary64_1077` `flip3--_binary64_1115` `diff-log_binary64_1203` `asin-acos_binary64_1291` `rem-cbrt-cube_binary64_1135` `pow-pow_binary64_1183` `pow-exp_binary64_1179` `rem-cube-cbrt_binary64_1134` `pow-to-exp_binary64_1180` `sub-neg_binary64_1104` `flip--_binary64_1086`

Counts

4 → 64

Calls

4 calls:

5.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)))))
4.0ms	(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)
3.0ms	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3))
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series604.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

331.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)))))
200.0ms	(pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3)
37.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
35.0ms	(cbrt.f64 (pow.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))) 3))

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4928	2760
1	4928	2760

prune161.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	75	12	87

Merged error: 0.1b

Counts

87 → 12

Compiler

Compiled 4568 to 1210 computations (73.5% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
0.3b	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))
0.4b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
2.8b	(log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`log-prod_binary64_1197`
14×	`add-sqr-sqrt_binary64_1133`
12×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146` `sin-sum_binary64_1244`
7×	`pow1_binary64_1172`
6×	`add-cbrt-cube_binary64_1147` `distribute-lft-in_binary64_1060` `add-log-exp_binary64_1150` `distribute-rgt-in_binary64_1061` `add-exp-log_binary64_1149` `associate--r+_binary64_1047`
4×	`log-pow_binary64_1200`
3×	`associate-r_binary64_1051` `associate-l_binary64_1052` `exp-prod_binary64_1163`
2×	`asin-acos_binary64_1291`
1×	`*-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `cancel-sign-sub-inv_binary64_1077` `exp-diff_binary64_1159` `flip3--_binary64_1115` `diff-log_binary64_1203` `sin-mult_binary64_1266` `pow-prod-down_binary64_1182` `unswap-sqr_binary64_1079` `log-div_binary64_1198` `rem-log-exp_binary64_1152` `sub-neg_binary64_1104` `flip--_binary64_1086`

Counts

4 → 67

Calls

4 calls:

8.0ms	(.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
6.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
3.0ms	(log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
1.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

series1.0s (5.7%)

Counts

4 → 12

Calls

4 calls:

456.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
380.0ms	(.f64 (sin.f64 phi1) (sin.f64 (log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
171.0ms	(log.f64 (exp.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
34.0ms	(asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4842	3651
1	4842	3651

prune174.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	80	11	91

Merged error: 0.1b

Counts

91 → 11

Compiler

Compiled 5331 to 1099 computations (79.4% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
0.6b	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
0.6b	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
0.6b	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1142`
23×	`add-sqr-sqrt_binary64_1133`
15×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
11×	`pow1_binary64_1172`
9×	`pow1/3_binary64_1193`
6×	`associate-r_binary64_1051` `swap-sqr_binary64_1078` `associate-l_binary64_1052` `add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `unswap-sqr_binary64_1079` `add-log-exp_binary64_1150`
2×	`pow-prod-up_binary64_1181` `pow-sqr_binary64_1084` `pow-prod-down_binary64_1182`
1×	`*-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-plus_binary64_1174` `pow2_binary64_1192`

Counts

4 → 73

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
1.0ms	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
1.0ms	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
1.0ms	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))

series1.1s (5.8%)

Counts

4 → 12

Calls

4 calls:

379.0ms	(.f64 (cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))
236.0ms	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
228.0ms	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))
216.0ms	(cbrt.f64 (asin.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4848	2895
1	4848	2895

prune154.0ms (0.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	85	11	96

Merged error: 0.1b

Counts

96 → 11

Compiler

Compiled 6032 to 627 computations (89.6% saved)

regimes227.0ms (1.2%)

Compiler: Compiled 3370 to 1570 computations (53.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	60
1	60	60

end0.0ms (0%)

sample8.7s (48%)

Algorithm

1×

intervals

Results

5.9s	3981×	body	1024	valid
1.1s	1358×	body	512	valid
463.0ms	2133×	body	128	valid
274.0ms	515×	body	256	valid
43.0ms	13×	body	2048	valid

Compiler

Compiled 742 to 359 computations (51.6% saved)

Details

analyze3.7s (20.1%)

sample264.0ms (1.5%)

simplify216.0ms (1.2%)

prune4.0ms (0%)

localize31.0ms (0.2%)

rewrite27.0ms (0.1%)

series666.0ms (3.7%)

simplify86.0ms (0.5%)

prune560.0ms (3.1%)

localize35.0ms (0.2%)

rewrite22.0ms (0.1%)

series604.0ms (3.3%)

simplify102.0ms (0.6%)

prune161.0ms (0.9%)

localize39.0ms (0.2%)

rewrite30.0ms (0.2%)

series1.0s (5.7%)

simplify122.0ms (0.7%)

prune174.0ms (1%)

localize40.0ms (0.2%)

rewrite28.0ms (0.2%)

series1.1s (5.8%)

simplify95.0ms (0.5%)

prune154.0ms (0.8%)

regimes227.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.7s (48%)

Profiling