Details

analyze2.0s (21.4%)

Algorithm

1×

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)

sample117.0ms (1.3%)

Algorithm

1×

intervals

Results

53.0ms	56×	body	1024	valid
28.0ms	155×	body	128	valid
20.0ms	35×	body	512	valid
3.0ms	9×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify93.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (sin.f64 t))
3.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1448`
92×	`add-sqr-sqrt_binary64_1464`
90×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
26×	`associate-/l*_binary64_1387`
16×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`div-inv_binary64_1439`
6×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `pow1_binary64_1503` `div-exp_binary64_1493`
4×	`add-log-exp_binary64_1481`
3×	`associate-r_binary64_1382` `associate-l_binary64_1383`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `tan-quot_binary64_1601`
1×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `cos-atan_binary64_1621` `unswap-sqr_binary64_1410`

Counts

4 → 168

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(*.f64 ew (sin.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series395.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
154.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
55.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
31.0ms	(*.f64 ew (sin.f64 t))

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5161	3297

prune202.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	175	5	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	5	181

Merged error: 0.1b

Counts

181 → 5

Compiler

Compiled 6622 to 1200 computations (81.9% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
33.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1448`
88×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
26×	`associate-/l*_binary64_1387`
14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`div-inv_binary64_1439`
6×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `div-exp_binary64_1493`
4×	`add-log-exp_binary64_1481` `pow1_binary64_1503`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `tan-quot_binary64_1601` `cos-atan_binary64_1621`

Counts

4 → 158

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.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))))

series385.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
143.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
50.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
48.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4852	3312
1	4852	3312

prune227.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	170	5	175

Merged error: 0.1b

Counts

175 → 5

Compiler

Compiled 8153 to 1293 computations (84.1% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 ew)
3.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1448`
89×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
26×	`associate-/l*_binary64_1387`
14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`div-inv_binary64_1439`
6×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `div-exp_binary64_1493`
4×	`add-log-exp_binary64_1481` `pow1_binary64_1503`
3×	`cbrt-prod_binary64_1473`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `tan-quot_binary64_1601`
1×	`pow1/3_binary64_1524` `cos-atan_binary64_1621`

Counts

4 → 161

Calls

4 calls:

9.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
1.0ms	(cbrt.f64 ew)

series436.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
148.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
90.0ms	(cbrt.f64 ew)
48.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4966	3138
1	4966	3138

prune215.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	173	5	178

Merged error: 0.1b

Counts

178 → 5

Compiler

Compiled 7498 to 1231 computations (83.6% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.2b	(/.f64 (/.f64 eh ew) (tan.f64 t))
9.7b	(sqrt.f64 (*.f64 ew (sin.f64 t)))
9.7b	(sqrt.f64 (*.f64 ew (sin.f64 t)))
33.6b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_1448`
46×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
13×	`associate-/l*_binary64_1387`
10×	`pow1_binary64_1503`
9×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
5×	`div-inv_binary64_1439`
4×	`sqrt-pow1_binary64_1460` `add-log-exp_binary64_1481`
3×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `div-exp_binary64_1493`
2×	`pow-prod-down_binary64_1513` `sqrt-prod_binary64_1458` `pow1/2_binary64_1522`
1×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `tan-quot_binary64_1601` `cos-atan_binary64_1621`

Counts

4 → 101

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(sqrt.f64 (*.f64 ew (sin.f64 t)))
3.0ms	(sqrt.f64 (*.f64 ew (sin.f64 t)))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series309.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
61.0ms	(sqrt.f64 (*.f64 ew (sin.f64 t)))
56.0ms	(sqrt.f64 (*.f64 ew (sin.f64 t)))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5183	2098

prune144.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0.1b

Counts

118 → 6

Compiler

Compiled 4853 to 860 computations (82.3% saved)

regimes151.0ms (1.6%)

Compiler: Compiled 1756 to 939 computations (46.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	65
1	25	65

end0.0ms (0%)

sample4.0s (42.9%)

Algorithm

1×

intervals

Results

1.8s	1995×	body	1024	valid
842.0ms	4481×	body	128	valid
609.0ms	1016×	body	512	valid
187.0ms	499×	body	256	valid
16.0ms	9×	body	2048	valid

Compiler

Compiled 396 to 211 computations (46.7% saved)

Details

analyze2.0s (21.4%)

sample117.0ms (1.3%)

simplify93.0ms (1%)

prune4.0ms (0%)

localize26.0ms (0.3%)

rewrite40.0ms (0.4%)

series395.0ms (4.3%)

simplify112.0ms (1.2%)

prune202.0ms (2.2%)

localize24.0ms (0.3%)

rewrite40.0ms (0.4%)

series385.0ms (4.2%)

simplify106.0ms (1.1%)

prune227.0ms (2.4%)

localize25.0ms (0.3%)

rewrite41.0ms (0.4%)

series436.0ms (4.7%)

simplify98.0ms (1.1%)

prune215.0ms (2.3%)

localize23.0ms (0.3%)

rewrite29.0ms (0.3%)

series309.0ms (3.3%)

simplify64.0ms (0.7%)

prune144.0ms (1.6%)

regimes151.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (42.9%)

Profiling