Details

analyze2.1s (19.1%)

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)

sample133.0ms (1.2%)

Algorithm

1×

intervals

Results

65.0ms	72×	body	1024	valid
29.0ms	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)

simplify8.0ms (0.1%)

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)

localize22.0ms (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))))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_4176`
92×	`add-sqr-sqrt_binary64_4192`
90×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
26×	`associate-/l*_binary64_4115`
16×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
10×	`div-inv_binary64_4167`
6×	`pow1_binary64_4231` `cbrt-undiv_binary64_4204` `associate-/r*_binary64_4114` `div-exp_binary64_4221`
4×	`add-log-exp_binary64_4209`
3×	`associate-l_binary64_4111` `associate-r_binary64_4110`
2×	`frac-2neg_binary64_4181` `associate-/r/_binary64_4116` `tan-quot_binary64_4329` `associate-/l/_binary64_4117` `clear-num_binary64_4169`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `cos-atan_binary64_4349` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138`

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

series383.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
146.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
49.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
31.0ms	(*.f64 eh (cos.f64 t))

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5076	3288

prune216.0ms (2%)

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)

localize25.0ms (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)))))

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

225×	`times-frac_binary64_4176`
132×	`add-sqr-sqrt_binary64_4192`
131×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
39×	`associate-/l*_binary64_4115`
19×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
15×	`div-inv_binary64_4167`
9×	`cbrt-undiv_binary64_4204` `associate-/r*_binary64_4114` `div-exp_binary64_4221`
5×	`pow1_binary64_4231`
4×	`add-log-exp_binary64_4209`
3×	`frac-2neg_binary64_4181` `sqrt-prod_binary64_4186` `associate-/r/_binary64_4116` `tan-quot_binary64_4329` `associate-/l/_binary64_4117` `clear-num_binary64_4169`
2×	`sqrt-div_binary64_4187`
1×	`flip-+_binary64_4144` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `flip3-+_binary64_4173` `rem-sqrt-square_binary64_4183`

Counts

4 → 228

Calls

4 calls:

9.0ms	(/.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)))))

series738.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

278.0ms	(sqrt.f64 (+.f64 1 (*.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)) (/.f64 (/.f64 eh ew) (tan.f64 t)))))
156.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
153.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
151.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5040	4768

prune348.0ms (3.2%)

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)

localize26.0ms (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))))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_4176`
89×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
26×	`associate-/l*_binary64_4115`
14×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
10×	`div-inv_binary64_4167`
6×	`cbrt-undiv_binary64_4204` `associate-/r*_binary64_4114` `div-exp_binary64_4221`
4×	`pow1_binary64_4231` `add-log-exp_binary64_4209`
3×	`cbrt-prod_binary64_4201`
2×	`frac-2neg_binary64_4181` `associate-/r/_binary64_4116` `tan-quot_binary64_4329` `associate-/l/_binary64_4117` `clear-num_binary64_4169`
1×	`pow1/3_binary64_4252` `cos-atan_binary64_4349`

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))

series440.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
142.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
72.0ms	(cbrt.f64 (cos.f64 t))
60.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4928	3245
1	4928	3245

prune226.0ms (2.1%)

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))))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`times-frac_binary64_4176`
88×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
26×	`associate-/l*_binary64_4115`
14×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
10×	`div-inv_binary64_4167`
6×	`cbrt-undiv_binary64_4204` `associate-/r*_binary64_4114` `div-exp_binary64_4221`
4×	`pow1_binary64_4231` `add-log-exp_binary64_4209`
2×	`frac-2neg_binary64_4181` `associate-/r/_binary64_4116` `tan-quot_binary64_4329` `associate-/l/_binary64_4117` `clear-num_binary64_4169`
1×	`pow1/3_binary64_4252` `cos-atan_binary64_4349` `cbrt-prod_binary64_4201`

Counts

4 → 159

Calls

4 calls:

7.0ms	(/.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 (4.2%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
141.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
107.0ms	(cbrt.f64 (*.f64 eh (cos.f64 t)))
51.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4979	3177
1	4979	3177

prune231.0ms (2.1%)

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)

regimes305.0ms (2.8%)

Accuracy

Total 0.1b remaining (39.9%)

Threshold costs 0.1b (39.9%)

Compiler

Compiled 4106 to 2344 computations (42.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	61
1	29	61

end0.0ms (0%)

sample4.6s (42.1%)

Algorithm

1×

intervals

Results

1.8s	2002×	body	1024	valid
1.1s	4491×	body	128	valid
581.0ms	1003×	body	512	valid
182.0ms	499×	body	256	valid
8.0ms	5×	body	2048	valid

Compiler

Compiled 865 to 495 computations (42.8% saved)

Details

analyze2.1s (19.1%)

sample133.0ms (1.2%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize22.0ms (0.2%)

rewrite46.0ms (0.4%)

series383.0ms (3.5%)

simplify109.0ms (1%)

prune216.0ms (2%)

localize25.0ms (0.2%)

rewrite60.0ms (0.6%)

series738.0ms (6.8%)

simplify98.0ms (0.9%)

prune348.0ms (3.2%)

localize26.0ms (0.2%)

rewrite40.0ms (0.4%)

series440.0ms (4.1%)

simplify102.0ms (0.9%)

prune226.0ms (2.1%)

localize26.0ms (0.2%)

rewrite45.0ms (0.4%)

series457.0ms (4.2%)

simplify96.0ms (0.9%)

prune231.0ms (2.1%)

regimes305.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.6s (42.1%)

Profiling