Details

analyze2.1s (20.1%)

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)

sample132.0ms (1.2%)

Algorithm

1×

intervals

Results

70.0ms	72×	body	1024	valid
23.0ms	130×	body	128	valid
19.0ms	33×	body	512	valid
8.0ms	21×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify103.0ms (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

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:

0.2b	(*.f64 eh (cos.f64 t))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
36.0b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_4517`
92×	`add-sqr-sqrt_binary64_4533`
90×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
26×	`associate-/l*_binary64_4456`
16×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
10×	`div-inv_binary64_4508`
6×	`pow1_binary64_4572` `div-exp_binary64_4562` `associate-/r*_binary64_4455` `cbrt-undiv_binary64_4545`
4×	`add-log-exp_binary64_4550`
3×	`associate-l_binary64_4452` `associate-r_binary64_4451`
2×	`associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `frac-2neg_binary64_4522` `tan-quot_binary64_4670` `clear-num_binary64_4510`
1×	`unswap-sqr_binary64_4479` `cos-atan_binary64_4690` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`

Counts

4 → 168

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
4.0ms	(*.f64 eh (cos.f64 t))

series379.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
147.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
27.0ms	(*.f64 eh (cos.f64 t))

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5076	3288

prune207.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	172	8	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	8	181

Error

0.1b

Counts

181 → 8

Compiler

Compiled 6726 to 1267 computations (81.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
11.3b	(sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t)))))

rewrite59.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

225×	`times-frac_binary64_4517`
132×	`add-sqr-sqrt_binary64_4533`
131×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
39×	`associate-/l*_binary64_4456`
19×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
15×	`div-inv_binary64_4508`
9×	`div-exp_binary64_4562` `associate-/r*_binary64_4455` `cbrt-undiv_binary64_4545`
5×	`pow1_binary64_4572`
4×	`add-log-exp_binary64_4550`
3×	`associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `frac-2neg_binary64_4522` `tan-quot_binary64_4670` `clear-num_binary64_4510` `sqrt-prod_binary64_4527`
2×	`sqrt-div_binary64_4528`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `rem-sqrt-square_binary64_4524` `pow1/2_binary64_4591` `sqrt-pow1_binary64_4529`

Counts

4 → 228

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t)))))

series761.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

300.0ms	(sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t)))))
162.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
155.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
144.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))

simplify111.0ms (1%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5040	4768

prune354.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	240	8	248

Error

0.1b

Counts

248 → 8

Compiler

Compiled 11328 to 2895 computations (74.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
36.0b	(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_4517`
89×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
26×	`associate-/l*_binary64_4456`
14×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
10×	`div-inv_binary64_4508`
6×	`div-exp_binary64_4562` `associate-/r*_binary64_4455` `cbrt-undiv_binary64_4545`
4×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
3×	`cbrt-prod_binary64_4542`
2×	`associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `frac-2neg_binary64_4522` `tan-quot_binary64_4670` `clear-num_binary64_4510`
1×	`pow1/3_binary64_4593` `cos-atan_binary64_4690`

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))))
1.0ms	(cbrt.f64 (cos.f64 t))

series426.0ms (4%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
149.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
71.0ms	(cbrt.f64 (cos.f64 t))
51.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4928	3245
1	4928	3245

prune214.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	173	8	181

Error

0.1b

Counts

181 → 8

Compiler

Compiled 7997 to 1216 computations (84.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 eh (cos.f64 t)))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.7b	(/.f64 (/.f64 eh ew) (tan.f64 t))
36.0b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_4517`
88×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
26×	`associate-/l*_binary64_4456`
14×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
10×	`div-inv_binary64_4508`
6×	`div-exp_binary64_4562` `associate-/r*_binary64_4455` `cbrt-undiv_binary64_4545`
4×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
2×	`associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `frac-2neg_binary64_4522` `tan-quot_binary64_4670` `clear-num_binary64_4510`
1×	`pow1/3_binary64_4593` `cos-atan_binary64_4690` `cbrt-prod_binary64_4542`

Counts

4 → 159

Calls

4 calls:

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

series457.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
152.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
98.0ms	(cbrt.f64 (*.f64 eh (cos.f64 t)))
51.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4979	3177
1	4979	3177

prune211.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	170	9	179

Error

0.1b

Counts

179 → 9

Compiler

Compiled 8352 to 1156 computations (86.2% saved)

regimes301.0ms (2.8%)

Accuracy

Total 0.1b remaining (38.9%)

Threshold costs 0.1b (38.9%)

Compiler

Compiled 4106 to 2344 computations (42.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	46
1	23	46

end0.0ms (0%)

sample4.3s (39.9%)

Algorithm

1×

intervals

Results

1.8s	2002×	body	1024	valid
817.0ms	4491×	body	128	valid
583.0ms	1003×	body	512	valid
186.0ms	499×	body	256	valid
8.0ms	5×	body	2048	valid

Compiler

Compiled 855 to 490 computations (42.7% saved)

Details

analyze2.1s (20.1%)

sample132.0ms (1.2%)

simplify103.0ms (1%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite44.0ms (0.4%)

series379.0ms (3.5%)

simplify112.0ms (1%)

prune207.0ms (1.9%)

localize26.0ms (0.2%)

rewrite59.0ms (0.5%)

series761.0ms (7.1%)

simplify111.0ms (1%)

prune354.0ms (3.3%)

localize25.0ms (0.2%)

rewrite42.0ms (0.4%)

series426.0ms (4%)

simplify110.0ms (1%)

prune214.0ms (2%)

localize26.0ms (0.2%)

rewrite44.0ms (0.4%)

series457.0ms (4.3%)

simplify107.0ms (1%)

prune211.0ms (2%)

regimes301.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (39.9%)

Profiling