Details

analyze2.1s (22.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	184
1	161	184
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample123.0ms (1.3%)

Algorithm

1×

intervals

Results

64.0ms	73×	body	1024	valid
32.0ms	151×	body	128	valid
9.0ms	18×	body	512	valid
5.0ms	13×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

prune4.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1789`
89×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
26×	`associate-/l*_binary64_1728`
19×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
10×	`div-inv_binary64_1780`
9×	`pow1_binary64_1844`
6×	`associate-/r*_binary64_1727` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
4×	`add-log-exp_binary64_1822`
3×	`cos-atan_binary64_1962` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `tan-quot_binary64_1942` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`associate-r/_binary64_1725` `un-div-inv_binary64_1781` `associate-l_binary64_1724` `-commutative_binary64_1714`

Counts

4 → 170

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
6.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series462.0ms (5%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
146.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
114.0ms	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
53.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4907	3602
1	4907	3602

prune198.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	180	2	182
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	180	3	183

Error

0.1b

Counts

183 → 3

Compiler

Compiled 6653 to 1134 computations (83% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

12.0b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `cos-atan_binary64_1962` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`
1×	`cbrt-prod_binary64_1814` `cbrt-div_binary64_1815` `associate-*l/_binary64_1726` `pow1/3_binary64_1865`

Counts

4 → 34

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series402.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
54.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
50.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5209	844

prune74.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Error

0.1b

Counts

49 → 5

Compiler

Compiled 3100 to 324 computations (89.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

11.3b	(sqrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
11.3b	(sqrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_1844`
6×	`sqrt-pow1_binary64_1801` `pow-prod-down_binary64_1854`
4×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `cos-atan_binary64_1962` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822`
2×	`pow1/2_binary64_1863` `associate-*l/_binary64_1726` `sqrt-prod_binary64_1799` `sqrt-div_binary64_1800`

Counts

4 → 42

Calls

4 calls:

5.0ms	(sqrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
4.0ms	(sqrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series623.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(sqrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
258.0ms	(sqrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
58.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
47.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4974	1268
1	4974	1268

prune80.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	54	5	59

Error

0.1b

Counts

59 → 5

Compiler

Compiled 2878 to 393 computations (86.3% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

12.0b	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
36.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `cos-atan_binary64_1962` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`
1×	`cbrt-prod_binary64_1814` `cbrt-div_binary64_1815` `associate-*l/_binary64_1726` `pow1/3_binary64_1865`

Counts

4 → 34

Calls

4 calls:

5.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series389.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt.f64 (.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))) (.f64 ew (sin.f64 t))))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
48.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5209	844

prune72.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	46	5	51

Error

0.1b

Counts

51 → 5

Compiler

Compiled 3011 to 299 computations (90.1% saved)

regimes141.0ms (1.5%)

Accuracy

Total 0.0b remaining (17%)

Threshold costs 0.0b (17%)

Compiler

Compiled 1826 to 774 computations (57.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	46
1	23	46

end0.0ms (0%)

sample4.1s (44.7%)

Algorithm

1×

intervals

Results

1.8s	2012×	body	1024	valid
839.0ms	4515×	body	128	valid
769.0ms	984×	body	512	valid
185.0ms	482×	body	256	valid
11.0ms	7×	body	2048	valid

Compiler

Compiled 399 to 176 computations (55.9% saved)

Details

analyze2.1s (22.2%)

sample123.0ms (1.3%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize20.0ms (0.2%)

rewrite48.0ms (0.5%)

series462.0ms (5%)

simplify108.0ms (1.2%)

prune198.0ms (2.1%)

localize27.0ms (0.3%)

rewrite15.0ms (0.2%)

series402.0ms (4.3%)

simplify62.0ms (0.7%)

prune74.0ms (0.8%)

localize25.0ms (0.3%)

rewrite18.0ms (0.2%)

series623.0ms (6.7%)

simplify66.0ms (0.7%)

prune80.0ms (0.9%)

localize31.0ms (0.3%)

rewrite16.0ms (0.2%)

series389.0ms (4.2%)

simplify58.0ms (0.6%)

prune72.0ms (0.8%)

regimes141.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.1s (44.7%)

Profiling