Details

analyze1.9s (19%)

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)

sample114.0ms (1.1%)

Algorithm

1×

intervals

Results

46.0ms	53×	body	1024	valid
27.0ms	151×	body	128	valid
24.0ms	38×	body	512	valid
5.0ms	13×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 eh (cos.f64 t))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1107`
92×	`add-sqr-sqrt_binary64_1123`
90×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
26×	`associate-/l*_binary64_1046`
16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
6×	`pow1_binary64_1162` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140`
3×	`associate-r_binary64_1041` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `tan-quot_binary64_1260`
1×	`*-commutative_binary64_1032` `cos-atan_binary64_1280` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

4 → 168

Calls

4 calls:

8.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(*.f64 eh (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

series401.0ms (4%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
153.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
56.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
29.0ms	(*.f64 eh (cos.f64 t))

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5076	3288

prune207.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	174	6	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	6	181

Merged error: 0.1b

Counts

181 → 6

Compiler

Compiled 6643 to 1227 computations (81.5% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 1 ew) (tan.f64 t))
3.3b	(*.f64 eh (/.f64 (/.f64 1 ew) (tan.f64 t)))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.3b	(cos.f64 (atan.f64 (*.f64 eh (/.f64 (/.f64 1 ew) (tan.f64 t)))))

rewrite69.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

221×	`times-frac_binary64_1107`
136×	`add-sqr-sqrt_binary64_1123`
125×	`*-un-lft-identity_binary64_1101`
124×	`add-cube-cbrt_binary64_1136`
44×	`associate-r_binary64_1041`
33×	`add-exp-log_binary64_1139`
26×	`associate-/l*_binary64_1046`
23×	`add-cbrt-cube_binary64_1137`
15×	`div-exp_binary64_1152`
14×	`div-inv_binary64_1098`
9×	`cbrt-undiv_binary64_1135`
6×	`pow1_binary64_1162` `associate-/r*_binary64_1045`
5×	`prod-exp_binary64_1150`
4×	`add-log-exp_binary64_1140` `unswap-sqr_binary64_1069`
3×	`cbrt-unprod_binary64_1134` `associate-/r/_binary64_1047` `tan-quot_binary64_1260` `associate-l_binary64_1042`
2×	`1-exp_binary64_1145` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `rec-exp_binary64_1151`
1×	`-commutative_binary64_1032` `cos-atan_binary64_1280` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172`

Counts

4 → 221

Calls

4 calls:

18.0ms	(*.f64 eh (/.f64 (/.f64 1 ew) (tan.f64 t)))
7.0ms	(/.f64 (/.f64 1 ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
2.0ms	(cos.f64 (atan.f64 (*.f64 eh (/.f64 (/.f64 1 ew) (tan.f64 t)))))

series480.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(*.f64 eh (/.f64 (/.f64 1 ew) (tan.f64 t)))
159.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
104.0ms	(/.f64 (/.f64 1 ew) (tan.f64 t))
53.0ms	(cos.f64 (atan.f64 (*.f64 eh (/.f64 (/.f64 1 ew) (tan.f64 t)))))

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4925	4130
1	4925	4130

prune332.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	233	6	239

Merged error: 0.1b

Counts

239 → 6

Compiler

Compiled 8956 to 2873 computations (67.9% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 t))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1107`
89×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
26×	`associate-/l*_binary64_1046`
14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
6×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162`
3×	`cbrt-prod_binary64_1132`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `tan-quot_binary64_1260`
1×	`cos-atan_binary64_1280` `pow1/3_binary64_1183`

Counts

4 → 161

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	(cbrt.f64 (cos.f64 t))

series454.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
161.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
76.0ms	(cbrt.f64 (cos.f64 t))
52.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4928	3245
1	4928	3245

prune232.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	172	7	179

Merged error: 0.1b

Counts

179 → 7

Compiler

Compiled 7971 to 1204 computations (84.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 eh)
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.6b	(/.f64 (/.f64 eh ew) (tan.f64 t))
35.3b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_1107`
89×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
26×	`associate-/l*_binary64_1046`
14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`div-inv_binary64_1098`
6×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162`
3×	`cbrt-prod_binary64_1132`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `tan-quot_binary64_1260`
1×	`cos-atan_binary64_1280` `pow1/3_binary64_1183`

Counts

4 → 161

Calls

4 calls:

11.0ms	(/.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 eh)

series442.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
144.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
87.0ms	(cbrt.f64 eh)
60.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4959	3138
1	4959	3138

prune409.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	173	7	180

Merged error: 0.1b

Counts

180 → 7

Compiler

Compiled 7398 to 1178 computations (84.1% saved)

regimes196.0ms (1.9%)

Compiler: Compiled 2316 to 1374 computations (40.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	49
1	30	49

end0.0ms (0%)

sample4.1s (40.4%)

Algorithm

1×

intervals

Results

1.8s	2043×	body	1024	valid
819.0ms	4461×	body	128	valid
587.0ms	1014×	body	512	valid
177.0ms	472×	body	256	valid
15.0ms	10×	body	2048	valid

Compiler

Compiled 499 to 301 computations (39.7% saved)

Details

analyze1.9s (19%)

sample114.0ms (1.1%)

simplify104.0ms (1%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite42.0ms (0.4%)

series401.0ms (4%)

simplify110.0ms (1.1%)

prune207.0ms (2.1%)

localize26.0ms (0.3%)

rewrite69.0ms (0.7%)

series480.0ms (4.8%)

simplify116.0ms (1.1%)

prune332.0ms (3.3%)

localize25.0ms (0.3%)

rewrite43.0ms (0.4%)

series454.0ms (4.5%)

simplify100.0ms (1%)

prune232.0ms (2.3%)

localize25.0ms (0.2%)

rewrite43.0ms (0.4%)

series442.0ms (4.4%)

simplify94.0ms (0.9%)

prune409.0ms (4.1%)

regimes196.0ms (1.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (40.4%)

Profiling